53 Electronic, structural and optical properties of Gd-doped ZnO powder synthesized by solid-state reaction method M. K. Gora1*, A. Kumar1, B. L. Choudhary2, S. N. Dolia1, S. Kumar1 and R. K. Singhal1 1Department of Physics, University of Rajasthan, Jaipur-302004, Rajasthan, India 2Department of Physics, BansathaliVidhyapith, Banasthali-304022, Rajasthan, India Abstract We explored the impact of Gd doping on the structural, electronic and optical characteristics of the ZnO powder. The Gd-doped ZnO (0, 2% and 5%) powder samples have been synthesized using the conventional solid-state reaction process with varied Gd concentrations. The XRD pattern confirmed that all the studied samples are in the hexagonal wurtzite crystalline structure. The morphology has been explored using SEM images, which exhibited an agglomerated rod-like particle structure. The XPS results indicate the presence of oxygen vacancies (Vo) in the Gd-doped ZnO samples and the Vo’s are found to increase with increasing Gd amount. According to PL findings, the intensity ratio of the green and ultra-violet emission peaks is found to increase from 0.090 to 0.418 with increasing Gd-doping concentrations, confirming that Vo’s are increasing with Gd-doping. The UV-visible spectroscopy results reveal that the energy band gap (Eg) decreased from 3.31 eV to 3.23 eV with increasing Gd-doping concentration. Keywords: Polycrystalline; Rietveld refinement; Wurtzite structure; Oxygen vacancies; XPS; PL *Corresponding author e-mail: gora.phy@gmail.com Available online at www.banglajol.info Bangladesh J. Sci. Ind. Res. 58(1), 53-64, 2023 Introduction Diluted magnetic semiconductor materials are used in optoelectronic and magneto-electronic devices that involve electron charge and spin (Thangeeswari et al. 2015). When a traditional semiconductor like ZnO is doped with transition metal (TM) ions or rare-earth (RE) metals, the DMS material could realize. Numerous appli- cations in the spintronics of zinc oxide have piqued the curiosity of researchers. The wide band gap energy of the ZnO is 3.37 eV and the exciton binding energy is 60 m eV, making it perfect for use in light-emitting diodes (Shimogaki et al. 2015; Thangeeswari et al. 2015). The magnetic, optical, and electrical characteristics of ZnO could be modified by the doping of TM ions and RE elements, which depend on the dopants' nature, quantity, and synthesis process (Deshmukh et al. 2010). In particu- lar, ZnO is receiving much attention as a potential material for UV and visible light emitters (Ozgür et al. 2005; Fan et al. 2013). The visible emission of ZnO is because of several bands associated with various lattice flaws. Consequently, defect-related emission in ZnO displays a wide unstructured band spanning the blue to red spectral regions. Because of this uniqueness, ZnO is a promising phosphor for white-light emitters with a high colour rendering index (Fan et al. 2013). ZnO has unique characteristics like affordability, long-term stability, an environmentally friendly nature, better radiation resis- tance, etc. Additionally, ZnO is an excellent material for several photonic applications when doped with a suitable dopant (Bahadur et al. 2007). Doping is a valuable method for modifying the optical characteristics of ZnO due to its ability to exhibit many absorption transitions in the visible region. RE elements, such as Gd, may introduce additional capabili- ties to the ZnO system because they may be capable of constructing combined practical devices on a single chip by combining magnetic and optical properties (Ohno et al. 1996; Tawil et al. 2011). Rare-earth (RE) metal doping in the dilute magnetic semiconductor (DMS) systems has recently received immense attention due to its potential usage in magneto electronic and photonic devices (Monteiro et al. 2006). The influence of Gd doping on the optical and electrical proper- ties of ZnO is crucial for developing optoelectronic devices and understanding the genesis of ferromagnetism. Ma and Wang (2012) synthesized the Gd-doped ZnO nanocrystals using the thermal evaporation deposition method. According to their findings, Gd doping has an appreciable impact on the optical characteristics of the ZnO. The strong UV and blue emissions are detected at low Gd concentrations because Gd impurities introduce a mid-gap state into ZnO. In compari- son, the UV and blue emissions reduce for high doping concentrations as a significant broad defect emission appears because of the vast numbers of defects, impurities, and excess Gd2O3 produced. Gd-doped ZnO nanocrystals can be used in optoelectronic devices. The optical and electrical tuning of the carrier density and optical band gap energy is essential for developing luminescent materials and equip- ment based on the ZnO DMS systems. The optical band gap and carrier concentration are essential parameters to yield information about the emission wavelength. Several develop- ment characteristics, like the synthesis methods, impurity concentration and substrate variety have been reported to influence these parameters (Wakano et al. 2001; Tan et al. 2011; Murtaza et al. 2011). The synthesis of DMS materials with unique optical, photo- catalytic and magnetic characteristics seems to be the most promising candidate for the subsequent generation of electronic, optoelectronic and spintronic appliances (Kumar and Sahare 2014). The low-dimension materials with imper- fection-free lattice structures have excellent electrical and magnetic characteristics; purposefully made or accidental structural defects play a significant role in altering their features (Li et al. 2016; Obeid et al. 2018). Thus, the presence of different kinds of cation or anion vacancies and intersti- tials in ZnO nanocrystals may change their magnetic proper- ties, photoluminescence, and photocatalytic properties (Coey et al. 2005). Although certain experimental and theoretical findings based on DFT indicate that Gd-doped ZnO exhibits the room temperature ferromagnetism (RTFM) (Potzger et al. 2006; Aravindh et al. 2014) property, several studies have demonstrated that the RTFM is not present (Sambasivam et al. 2015). In addition to their magnetic qualities, the 4f ions ETH 30 kV EVO-18 Carl Zeiss, with a tilt of 0° to 60° and a rotation of 360°, has been used for taking SEM images.The defect-related states and chemical analysis of the samples have been determined using X-ray photoelectron spectrosco- py. A hemispherical analyzer with a 128-channel detector and a monochromated, fully integrated K-alpha small-spot X-ray photoelectron spectrometer system of 180° double focusing is used in XPS (Thermo Scientific made). The UV-visible absorption spectroscopy (Model: Shimadzu UV-3600 UV-VIS-NIR Spectrophotometer) was used to explore the prepared samples' optical absorption and band gap. The measurements of UV-visible absorption spectra have been taken using the powder form of the samples. PL spectroscopy was used to analyze defect-related states in the prepared samples. Photoluminescence spectra have been recorded at room temperature using the fluorescence spectrometer (Model: Perkin Elmer FL 8500). Results and discussion XRD analysis Fig. 1. depicts the powder XRD patterns of the Gd-doped ZnO (Gd = 0%, 2%, and 5%) samples. All the diffraction peaks detected in the ZnO sample match with the standard JCPDS card number (36-1451). This confirms a hexagonal wurtzite crystal structure of the samples. The diffraction peaks were observed at 31.88°, 34.50°, 36.25°, 47.72°, 56.69°, 63.03°, 66.59°, 68.17°, and 69.35°, which are related to the planes (100), (002), (101), (102), (110), (103), (200), (112), and (201), respectively (Ganesh et al. 2018; Bharathi et al. 2020). Further, some additional small peaks have been observed at 28.61°, 33.21°, and 39.14° with increasing Gd doping. These secondary peaks represent- ing a crystallite phase have been identified as Gd2O3, which is well consistent with earlier reports (Das et al. 2012). As shown in Fig. 2, the highest intense peak related to the (101) plane shifted slightly higher angles with the increasing concentration of Gd doping. The shift is because of the substitution of bigger-sized Gd3+ (0.94 Å) ions than Zn2+ (0.74 Å) ions in the hexagonal wurtzite structure. The peak shift may indicate that Gd3+ ions have occupied the crystallo- graphic positions of Zn2+ ions in the ZnO host lattice, or itmay be because of the structural strain caused by the forma- tion of internal compressive micro stress (Dakhel and El-Hilo 2010; Kumar et al. 2014; Sahu et al. 2017). Rietveld refinements have been performed using the Full Prof Programme (shown in Fig. 3). The Pseudo-Voigt function has been used for Rietveld refinement of all the samples with the space group P63mc. The estimated lattice parameters have been listed in Table I. The lattice parameters are found to decrease with Gd doping, similar to those reported in earlier studies (Kaur et al. 2016; Obeid et al. 2019). The factors like the induced deficiencies (vacancies, interstitial) and the ionic radius of Zn and Gd ions can be responsible for the observed change (Kaur et al. 2016; Kumar and Thangavel 2017). SEM analysis Scanning electron micrographs have been used to analyze the morphology of the Gd-doped ZnO powder samples. The SEM images reveal a rod-like morphology in pure ZnO (Gora et al. 2022) and the Gd-doped ZnO polycrystalline samples with some proof of agglomeration and phase segre- gation, as depicted in Fig. 4 (a, b and c). Profound observa- tion of the particles exhibits that the crystallite size is above 100 nm. The particles were intensive and incompatibly distributed all over the mass. A distinct boundary between neighbouring crystallites can be noticed, despite the proxim- ity of these smaller crystallites. XPS analysis The XPS technique is an excellent tool for determining the surface chemistry and electron configuration of the various elements present in a multicomponent material. The carbon C1s peak (284.6 eV) has been used as a refer- ence to calibrate all the binding energies of the spectra. The survey spectrum of the Gd-doped ZnO samples is shown in Fig. 5. The survey spectra revealed the existence of O, Zn, and Gd elements without any impurity in the samples. For ZnO and 2% Gd-doped ZnO powder samples, the binding energies of the Zn2p3/2 and Zn2p1/2 peaks are found to be 1021.25 eV, 1044.25 eV, 1021.43 eV, and 1044.43 eV, respec- tively. However, for the 5% Gd-doped ZnO sample, these peaks are at 1021.83 and 1044.83 eV energy positions. The small shift could be assigned to the creation of Zn interstitials in ZnO upon Gd doping. The binding energy gap between the zinc doublet peaks has been found at about 23 eV. This indicates that Zn in the ZnO crystal structure is in the Zn2+ oxidation state (Khataee et al. 2015; Gawai et al. 2019) as the spin-orbital splitting of Zn2p is 23 eV. This difference does not change with the Gd doping pointing out that Gd doping has no discernible effect on the chemical position of ZnO. The O1s asymmetric XPS spectraare shown in Fig.7 (a) which is asymmetric in shape. The O1s XPS spectra of all these samples i.e. the ZnO, the Zn0.98Gd0.02O, and the Zn0.95Gd0.05O have been deconvoluted mainly into two Gauss- ian peaks, as shown in Fig. 7 (b, c, and d). The lower binding peaks for pure and Gd-doped ZnO (Gd = 2% and 5%) polycrystalline samples have been detected at 529.93 eV, 529.93 eV and 529.78 eV, respectively, which attributed to the lattice oxygen in the hexagonal structure of the ZnO. The higher binding peak for the pure and the Gd-doped ZnO samples have been found at 531.51 eV, 531.66 eV, and 531.49 eV, respectively, which is due to the presence of oxygen vacancies in the ZnO structure (Bharathi et al. 2020; Sukumaran et al. 2021). An additional signal centered at 528.29 eV has been detected in the 5% Gd-doped ZnO powder sample, which could be ascribed to the coordination of oxygen in Gd-O-Zn along grain boundaries because of the excessive Gd dopants and also attributed to the presence of Gd2O3 in the sample (Yi et al. 2017). The lattice oxygen peak has slightly shifted to the lower binding energy with increas- ing Gd concentration, which has been due to the increased oxygen vacancies with increasing Gd doping. The estimated area ratios of the oxygen vacancies peak and the lattice oxygen peak for the samples ZnO, Zn0.98Gd0.02O, and Zn0.95Gd0.05O comes out to be 0.53, 1.30, and 2.49, respectively. These results show that the oxygen vacancies increase with increas- ing Gd concentration. The Fig. 8 (a, b) depicts the high-resolution Gd4d XPS spectra of the Gd-doped samples.In the Gd4d state, the spin-orbit splatted peaks are at 144.6 eV for Gd4d3/2 and 139.6 eV for Gd4d5/2 for the 2% Gd-doped sample, whereas for the 5% Gd-doped ZnO sample, the spin-orbit splits at 145.5 eV for Gd4d3/2 and 139.7 eV for Gd4d5/2 as shown in Fig. 8 (a, b). This indicates that Gd is present in the Gd3+ state in the ZnO hexagonal structure. The shift in peak values of Gd4d3/2 and Gd4d5/2 from 144.6 eV and 139.6 eV, respective- ly; in the case of 2% Gd-doped sample to 145.5 eV and 139.7 eV, respectively, in the case of 5% Gd-doped sample. This shift in Gd4d peaks is ascribed to the electron transfer from plasmonics Gd to ZnO because of the strong electronic interaction (covalent bond) between Gd and the oxide (Ahmad et al. 2011; Wang et al. 2012; Bharathi et al. 2020). UV visible spectroscopy analysis The UV–Visible spectroscopy is a powerful tool for estimat- ing band gap of materials. UV–Vis absorbance spectra and tauc plots for the Gd-doped ZnO samples (Gd = 0% (Gora et al. 2022), 2%, and 5%) samples are shown in Figs.9 (a, b, c, and d). The spectra show a red shift with increasing Gd amount in the ZnO.The UV–Vis absorption intensity of the synthesized polycrystalline samples is found to reduce with the increasing Gd concentration (Mazhdi and Tafreshi 2018). Tauc's plot has been used to calculate the direct band gap of the samples (Jain et al. 2006). The direct band gap has been estimated using the following equation: Here, α is the absorption coefficient,υ is frequency, h is the Planck constant, A is a constant, and Eg is the energy band gap of the substance. Extrapolating the linear component of the curve plotted among (αhυ) 2 and hυ depicted in Fig. 9 (b, c, and d) has been used to obtain the band gap (Farhad et al. 2018; Ghos et al. 2021). The band gap values calculated for the Gd-doped ZnO samples, i.e.are 3.31 eV (Gora et al. 2022), 3.27 eV, and 3.23eV, for the samples Gd = 0%, 2% and 5%, respectively. The small redshift observed in the band gap of Gd-doped ZnO samples is because of the changes in electronic structure as well as enhanced oxygen vacancies with the increasing Gd doping (Yi et al. 2017; Flemban et al. 2016), which is respon- sible for the band gap reduction. Photoluminescence spectroscopy analysis The structural flaws like ionic and atomic vacancies, replace- ments and interstitials have been explored using the PL spectra of the synthesized polycrystalline samples. Fig. 10 (a, b and c) shows the deconvoluted, Gaussian-fitted PL spectra of the synthesized Gd-doped ZnO polycrystalline powder samples. The PL spectra of the samples were recorded at room temperature in order to determine the types of vacancies, defect band emission etc. (Lin et al. 2001; Yi et al. 2017). The photoluminescence spectra have been deconvoluted and the different peaks responsible for the emission have been Gaussian fitted. For these samples the band edge emission peaksare detected at 381 nm, 384 nm, and 383 nm, for the Gd = 0%, 2% and 5% samples, respectively. The UV emission is responsible for the excitonic interaction related to the band edge emission. The intense violet emission exhibited in the Gd-doped ZnO at about 415 nm could be because ofthe oxygen vacancies. The exciton interaction between the holes in the valence band and electrons located in the interstitial zinc could be responsible for the violet emission peak at about 447 nm. Intrinsic deficiencies like interstitial zinc and oxygen can be attributed to the peak at 477 nm (Singh et al. 2009; Kaur et al. 2016). The transformation between singly ionized oxygen deficiency and the photo-created holes (Ken- nedy et al. 2014) or the surface imperfection and electrons near the conduction band, might be responsible for the green emission peak seen for the Gd-doped ZnOat around 525 nm. The green emissions are commonly attributed to theoxygen vacancies (Studenikin et al. 1998). For Gd-doped ZnO polycrystalline powder samples, the intensity ratio of the green and ultra-violet emission peaks is found to be 0.090 for ZnO, 0.204 for the 2% Gd-doped ZnO, and 0.418 for the 5% Gd-doped ZnO. The defect-related emissions enhanced with increasing Gd doping in the ZnO indicate that a large number of deficiencies, such as oxygen vacancies, are most usually related to crystal deformation (Yi et al. 2017). The results reveal that the Gd doping enhances the Zni and Vo flaws. It could be attributed to structural deformation created by Gd atoms with different ionic sizes than Zn in the ZnO (Ban- dopadhyay and Mitra 2015; Sukumaran et al. 2021). Increas- ing Gd doping in ZnO indicates an increase in defect states, which matches well with the XPS results. We compared our PL results with Farhad et al. (2019), who prepared ZnO DC (drop casting) and ZnO nanorods. Their PL results detected the PL peak at 380 nm and a barely observable green-yellow emission peak; in our case, we find it at 381 nm for ZnO, 384 nm for 2% Gd-doped ZnO and 383 nm for the 5% Gd-doped ZnO polycrystalline sample. This peak represented ZnO's near band edge (NBE) transition because of free excitons recombinations and this PL property indicates high crystalline quality. The luminescent character- istics in the visible region are responsible for the different defects, like zinc interstitials (Zni), oxygen vacancies (Vo), etc., present in the ZnO crystal matrix. As a result, they reported that both ZnO (DC) and ZnO nanorods were found to be defect-free good crystalline and optical properties mate- rials. In our case, all the prepared Gd-doped ZnO powder samples have been found to be with single ionized oxygen vacancies, which are confirmed by the green emission peak at 525 nm in the PL spectra. Conclusion The Gd-doped ZnO powder samples were synthesized by the solid-state reaction method. The XRD patterns affirm that Gd has been successfully incorporated into the ZnO lattice and confirm the hexagonal wurtzite structure. SEM images have been used to reveal the morphologies of the synthesized samples, which appear as rod-like structures. The XPS results showed that the oxygen vacancy-related states in Gd-doped samples increased with increasing Gd doping. PL findings confirmed that the defect-related states are present in the Gd-doped ZnO polycrystalline samples. The green emission and ultra-violet emission peaks' intensity ratio is 0.418 for the 5% Gd-doped ZnO sample, which is the maxi- mum compared to the pure ZnO and 2% Gd-doped ZnO polycrystalline powder sample. These findings confirmed that the oxygen vacancies increase as the Gd concentration increases and the PL results agree well with the XPS results. The UV absorption spectra findings reveal that the band gap in the 5% Gd-doped ZnO sample is found to be 3.23 eV, which is the minimum compared to both the pure ZnO and the 2% Gd-doped ZnO samples, confirming that Eg is reduced with increasing Gd concentration. Acknowledgment The authors are thankful to USIC, University of Rajasthan, Jaipur, Rajasthan (India), for providing SEM images of the prepared samples. We also thank department of physics, BanasthaliVidhyapith, Banasthali, Jaipur, Rajasthan (India) for rendering XRD data. Funding sources This research is not financed by any agency. Authors' contribution Sample preparation, data analysis, manuscript composition and writing (Mahendra Kumar Gora); sample synthesis and data characterization (Arvind Kumar); data recording (Ban- wari Lal Choudhary); data analysis and interpretation (Sanjay Kumar); reviewing and editing (Satya NarainDolia); supervision, writing, reviewing and editing (Rishi Kumar Singhal). Conflicts of interest or competing interests All authors declare that we have no conflict of interest or competing interests. Data availability On request, data will be available. Ethical approval Not applicable. References Ahmad M, Yingying S, Nisar A, Sun H, Shen W, Wei M and Zhu J (2011), Synthesis of hierarchical flower-like ZnO nanostructures and their functionalization by Au nanoparti- cles for improved photocatalytic and high performance Li-ion battery anodes, J. Mater. 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Magn. 28: 2505-2515. https://doi.org/10.1007/S10948-015-3045-2 Wakano T, Fujimura N, Morinaga Y, Abe N, Ashida A and Ito T (2001), Magnetic and Magneto-Transport Properties of ZnO: Ni Films, Physica E: Low-Dimensional Systems and Nanostructures. 10: 260-264. doi:10. 1016/S1386-9477(01)00095-9 Wang XJ, Wang W and Liu YL (2012), Enhanced acetone sensing performance of Au nanoparticles functional- ized flower-like ZnO, Sensors Actuators B: Chemical. 168: 39-45. https://doi.org/10.1016/j.snb.2012.01.006 Yi XY, Ma CY, Yuan F, Wang N, Qin FW, Hu BC and Zhang QY (2017), Structural, morphological, photolumines- cence and photocatalytic properties of Gd doped ZnO films, Thin Solid Films. 636: 339-345. https://- doi.org/10.1016/j.tsf.2017.05.020 doped ZnO nanocrystals also have an attractive optical responsiveness. Many theoretical and experimental studies showed that RE-doped ZnO could reportedly absorb ultravio- let (UV) light (Chakraborty et al. 2017). Obeid et al. (2019) prepared undoped and Gd-doped ZnO nanocrystalline samples using the thermal decomposition method. They observed that the optical absorption spectra of pristine ZnO increased with a 6% Gd doping concentration and the magnetic properties changed with changing dopant amounts. Their PL spectroscopy results showed the existence of defects, which increased with increasing Gd doping concentrations. They suggested that these DMS nanoparticles can be used for magneto-optoelectronic practical device applications. Undoubtedly, the RE-doped ZnO nanostructures have been intensively studied recently because this is a rapidly growing field due to their multi-functionality and their use in possible new generation applications. With an aim to understand the effect of Gd doping in ZnO in terms of its electronic and optical properties we have synthesize Gd-doped ZnO powder series of different Gd (0%, 2%, and 5%) values. Various characterization techniques have been utilized to explore the electronic, structural and optical features of the synthesized powder series. Gd doping into ZnO produced changes in the band gap and enhanced oxygen vacancies related states in the compound. Materials and methods The Gd-doped ZnO powder samples with varying Gd (0%, 2%, and 5%) concentrations have been synthesized using the conventional solid-state reaction method. A suitable amount of high-purity (99.999% Sigma-Aldrich) zinc oxide (ZnO) and gadolinium oxide (Gd2O3) powder have been used for their preparation. For achieving perfect homogeneity, the ingredients were properly pounded for ~8 hours in an agate mortar and pestle. The prepared material has been sintered for ~8h at~550°C and cooled at room temperature. Again, the mixture was ground for ~2 hours and sintered for ~6 hours at ~550°C. The mixture was milled for ~4 hours before being turned into pellets. Finally, these pellets were sintered for around ~8 hours at about ~600°C. Finally, we ground the pellets to make the powder. The powder form of the prepared samples has been used for further characterization. Characterization techniques The crystallographic structures of the samples have been explored using an X-ray diffractometer (Make: Panalytical X'Pert PRO) using the photon energy of Cu Kα (λ= 1.5406Å). SEM images have been used for the morphology study of the synthesized samples. The SEM equipment model Electronic, structural and optical properties of Gd-doped ZnO powder 58(1) 202354 RE elements, such as Gd, may introduce additional capabili- ties to the ZnO system because they may be capable of constructing combined practical devices on a single chip by combining magnetic and optical properties (Ohno et al. 1996; Tawil et al. 2011). Rare-earth (RE) metal doping in the dilute magnetic semiconductor (DMS) systems has recently received immense attention due to its potential usage in magneto electronic and photonic devices (Monteiro et al. 2006). The influence of Gd doping on the optical and electrical proper- ties of ZnO is crucial for developing optoelectronic devices and understanding the genesis of ferromagnetism. Ma and Wang (2012) synthesized the Gd-doped ZnO nanocrystals using the thermal evaporation deposition method. According to their findings, Gd doping has an appreciable impact on the optical characteristics of the ZnO. The strong UV and blue emissions are detected at low Gd concentrations because Gd impurities introduce a mid-gap state into ZnO. In compari- son, the UV and blue emissions reduce for high doping concentrations as a significant broad defect emission appears because of the vast numbers of defects, impurities, and excess Gd2O3 produced. Gd-doped ZnO nanocrystals can be used in optoelectronic devices. The optical and electrical tuning of the carrier density and optical band gap energy is essential for developing luminescent materials and equip- ment based on the ZnO DMS systems. The optical band gap and carrier concentration are essential parameters to yield information about the emission wavelength. Several develop- ment characteristics, like the synthesis methods, impurity concentration and substrate variety have been reported to influence these parameters (Wakano et al. 2001; Tan et al. 2011; Murtaza et al. 2011). The synthesis of DMS materials with unique optical, photo- catalytic and magnetic characteristics seems to be the most promising candidate for the subsequent generation of electronic, optoelectronic and spintronic appliances (Kumar and Sahare 2014). The low-dimension materials with imper- fection-free lattice structures have excellent electrical and magnetic characteristics; purposefully made or accidental structural defects play a significant role in altering their features (Li et al. 2016; Obeid et al. 2018). Thus, the presence of different kinds of cation or anion vacancies and intersti- tials in ZnO nanocrystals may change their magnetic proper- ties, photoluminescence, and photocatalytic properties (Coey et al. 2005). Although certain experimental and theoretical findings based on DFT indicate that Gd-doped ZnO exhibits the room temperature ferromagnetism (RTFM) (Potzger et al. 2006; Aravindh et al. 2014) property, several studies have demonstrated that the RTFM is not present (Sambasivam et al. 2015). In addition to their magnetic qualities, the 4f ions ETH 30 kV EVO-18 Carl Zeiss, with a tilt of 0° to 60° and a rotation of 360°, has been used for taking SEM images.The defect-related states and chemical analysis of the samples have been determined using X-ray photoelectron spectrosco- py. A hemispherical analyzer with a 128-channel detector and a monochromated, fully integrated K-alpha small-spot X-ray photoelectron spectrometer system of 180° double focusing is used in XPS (Thermo Scientific made). The UV-visible absorption spectroscopy (Model: Shimadzu UV-3600 UV-VIS-NIR Spectrophotometer) was used to explore the prepared samples' optical absorption and band gap. The measurements of UV-visible absorption spectra have been taken using the powder form of the samples. PL spectroscopy was used to analyze defect-related states in the prepared samples. Photoluminescence spectra have been recorded at room temperature using the fluorescence spectrometer (Model: Perkin Elmer FL 8500). Results and discussion XRD analysis Fig. 1. depicts the powder XRD patterns of the Gd-doped ZnO (Gd = 0%, 2%, and 5%) samples. All the diffraction peaks detected in the ZnO sample match with the standard JCPDS card number (36-1451). This confirms a hexagonal wurtzite crystal structure of the samples. The diffraction peaks were observed at 31.88°, 34.50°, 36.25°, 47.72°, 56.69°, 63.03°, 66.59°, 68.17°, and 69.35°, which are related to the planes (100), (002), (101), (102), (110), (103), (200), (112), and (201), respectively (Ganesh et al. 2018; Bharathi et al. 2020). Further, some additional small peaks have been observed at 28.61°, 33.21°, and 39.14° with increasing Gd doping. These secondary peaks represent- ing a crystallite phase have been identified as Gd2O3, which is well consistent with earlier reports (Das et al. 2012). As shown in Fig. 2, the highest intense peak related to the (101) plane shifted slightly higher angles with the increasing concentration of Gd doping. The shift is because of the substitution of bigger-sized Gd3+ (0.94 Å) ions than Zn2+ (0.74 Å) ions in the hexagonal wurtzite structure. The peak shift may indicate that Gd3+ ions have occupied the crystallo- graphic positions of Zn2+ ions in the ZnO host lattice, or itmay be because of the structural strain caused by the forma- tion of internal compressive micro stress (Dakhel and El-Hilo 2010; Kumar et al. 2014; Sahu et al. 2017). Rietveld refinements have been performed using the Full Prof Programme (shown in Fig. 3). The Pseudo-Voigt function has been used for Rietveld refinement of all the samples with the space group P63mc. The estimated lattice parameters have been listed in Table I. The lattice parameters are found to decrease with Gd doping, similar to those reported in earlier studies (Kaur et al. 2016; Obeid et al. 2019). The factors like the induced deficiencies (vacancies, interstitial) and the ionic radius of Zn and Gd ions can be responsible for the observed change (Kaur et al. 2016; Kumar and Thangavel 2017). SEM analysis Scanning electron micrographs have been used to analyze the morphology of the Gd-doped ZnO powder samples. The SEM images reveal a rod-like morphology in pure ZnO (Gora et al. 2022) and the Gd-doped ZnO polycrystalline samples with some proof of agglomeration and phase segre- gation, as depicted in Fig. 4 (a, b and c). Profound observa- tion of the particles exhibits that the crystallite size is above 100 nm. The particles were intensive and incompatibly distributed all over the mass. A distinct boundary between neighbouring crystallites can be noticed, despite the proxim- ity of these smaller crystallites. XPS analysis The XPS technique is an excellent tool for determining the surface chemistry and electron configuration of the various elements present in a multicomponent material. The carbon C1s peak (284.6 eV) has been used as a refer- ence to calibrate all the binding energies of the spectra. The survey spectrum of the Gd-doped ZnO samples is shown in Fig. 5. The survey spectra revealed the existence of O, Zn, and Gd elements without any impurity in the samples. For ZnO and 2% Gd-doped ZnO powder samples, the binding energies of the Zn2p3/2 and Zn2p1/2 peaks are found to be 1021.25 eV, 1044.25 eV, 1021.43 eV, and 1044.43 eV, respec- tively. However, for the 5% Gd-doped ZnO sample, these peaks are at 1021.83 and 1044.83 eV energy positions. The small shift could be assigned to the creation of Zn interstitials in ZnO upon Gd doping. The binding energy gap between the zinc doublet peaks has been found at about 23 eV. This indicates that Zn in the ZnO crystal structure is in the Zn2+ oxidation state (Khataee et al. 2015; Gawai et al. 2019) as the spin-orbital splitting of Zn2p is 23 eV. This difference does not change with the Gd doping pointing out that Gd doping has no discernible effect on the chemical position of ZnO. The O1s asymmetric XPS spectraare shown in Fig.7 (a) which is asymmetric in shape. The O1s XPS spectra of all these samples i.e. the ZnO, the Zn0.98Gd0.02O, and the Zn0.95Gd0.05O have been deconvoluted mainly into two Gauss- ian peaks, as shown in Fig. 7 (b, c, and d). The lower binding peaks for pure and Gd-doped ZnO (Gd = 2% and 5%) polycrystalline samples have been detected at 529.93 eV, 529.93 eV and 529.78 eV, respectively, which attributed to the lattice oxygen in the hexagonal structure of the ZnO. The higher binding peak for the pure and the Gd-doped ZnO samples have been found at 531.51 eV, 531.66 eV, and 531.49 eV, respectively, which is due to the presence of oxygen vacancies in the ZnO structure (Bharathi et al. 2020; Sukumaran et al. 2021). An additional signal centered at 528.29 eV has been detected in the 5% Gd-doped ZnO powder sample, which could be ascribed to the coordination of oxygen in Gd-O-Zn along grain boundaries because of the excessive Gd dopants and also attributed to the presence of Gd2O3 in the sample (Yi et al. 2017). The lattice oxygen peak has slightly shifted to the lower binding energy with increas- ing Gd concentration, which has been due to the increased oxygen vacancies with increasing Gd doping. The estimated area ratios of the oxygen vacancies peak and the lattice oxygen peak for the samples ZnO, Zn0.98Gd0.02O, and Zn0.95Gd0.05O comes out to be 0.53, 1.30, and 2.49, respectively. These results show that the oxygen vacancies increase with increas- ing Gd concentration. The Fig. 8 (a, b) depicts the high-resolution Gd4d XPS spectra of the Gd-doped samples.In the Gd4d state, the spin-orbit splatted peaks are at 144.6 eV for Gd4d3/2 and 139.6 eV for Gd4d5/2 for the 2% Gd-doped sample, whereas for the 5% Gd-doped ZnO sample, the spin-orbit splits at 145.5 eV for Gd4d3/2 and 139.7 eV for Gd4d5/2 as shown in Fig. 8 (a, b). This indicates that Gd is present in the Gd3+ state in the ZnO hexagonal structure. The shift in peak values of Gd4d3/2 and Gd4d5/2 from 144.6 eV and 139.6 eV, respective- ly; in the case of 2% Gd-doped sample to 145.5 eV and 139.7 eV, respectively, in the case of 5% Gd-doped sample. This shift in Gd4d peaks is ascribed to the electron transfer from plasmonics Gd to ZnO because of the strong electronic interaction (covalent bond) between Gd and the oxide (Ahmad et al. 2011; Wang et al. 2012; Bharathi et al. 2020). UV visible spectroscopy analysis The UV–Visible spectroscopy is a powerful tool for estimat- ing band gap of materials. UV–Vis absorbance spectra and tauc plots for the Gd-doped ZnO samples (Gd = 0% (Gora et al. 2022), 2%, and 5%) samples are shown in Figs.9 (a, b, c, and d). The spectra show a red shift with increasing Gd amount in the ZnO.The UV–Vis absorption intensity of the synthesized polycrystalline samples is found to reduce with the increasing Gd concentration (Mazhdi and Tafreshi 2018). Tauc's plot has been used to calculate the direct band gap of the samples (Jain et al. 2006). The direct band gap has been estimated using the following equation: Here, α is the absorption coefficient,υ is frequency, h is the Planck constant, A is a constant, and Eg is the energy band gap of the substance. Extrapolating the linear component of the curve plotted among (αhυ) 2 and hυ depicted in Fig. 9 (b, c, and d) has been used to obtain the band gap (Farhad et al. 2018; Ghos et al. 2021). The band gap values calculated for the Gd-doped ZnO samples, i.e.are 3.31 eV (Gora et al. 2022), 3.27 eV, and 3.23eV, for the samples Gd = 0%, 2% and 5%, respectively. The small redshift observed in the band gap of Gd-doped ZnO samples is because of the changes in electronic structure as well as enhanced oxygen vacancies with the increasing Gd doping (Yi et al. 2017; Flemban et al. 2016), which is respon- sible for the band gap reduction. Photoluminescence spectroscopy analysis The structural flaws like ionic and atomic vacancies, replace- ments and interstitials have been explored using the PL spectra of the synthesized polycrystalline samples. Fig. 10 (a, b and c) shows the deconvoluted, Gaussian-fitted PL spectra of the synthesized Gd-doped ZnO polycrystalline powder samples. The PL spectra of the samples were recorded at room temperature in order to determine the types of vacancies, defect band emission etc. (Lin et al. 2001; Yi et al. 2017). The photoluminescence spectra have been deconvoluted and the different peaks responsible for the emission have been Gaussian fitted. For these samples the band edge emission peaksare detected at 381 nm, 384 nm, and 383 nm, for the Gd = 0%, 2% and 5% samples, respectively. The UV emission is responsible for the excitonic interaction related to the band edge emission. The intense violet emission exhibited in the Gd-doped ZnO at about 415 nm could be because ofthe oxygen vacancies. The exciton interaction between the holes in the valence band and electrons located in the interstitial zinc could be responsible for the violet emission peak at about 447 nm. Intrinsic deficiencies like interstitial zinc and oxygen can be attributed to the peak at 477 nm (Singh et al. 2009; Kaur et al. 2016). The transformation between singly ionized oxygen deficiency and the photo-created holes (Ken- nedy et al. 2014) or the surface imperfection and electrons near the conduction band, might be responsible for the green emission peak seen for the Gd-doped ZnOat around 525 nm. The green emissions are commonly attributed to theoxygen vacancies (Studenikin et al. 1998). For Gd-doped ZnO polycrystalline powder samples, the intensity ratio of the green and ultra-violet emission peaks is found to be 0.090 for ZnO, 0.204 for the 2% Gd-doped ZnO, and 0.418 for the 5% Gd-doped ZnO. The defect-related emissions enhanced with increasing Gd doping in the ZnO indicate that a large number of deficiencies, such as oxygen vacancies, are most usually related to crystal deformation (Yi et al. 2017). The results reveal that the Gd doping enhances the Zni and Vo flaws. It could be attributed to structural deformation created by Gd atoms with different ionic sizes than Zn in the ZnO (Ban- dopadhyay and Mitra 2015; Sukumaran et al. 2021). Increas- ing Gd doping in ZnO indicates an increase in defect states, which matches well with the XPS results. We compared our PL results with Farhad et al. (2019), who prepared ZnO DC (drop casting) and ZnO nanorods. Their PL results detected the PL peak at 380 nm and a barely observable green-yellow emission peak; in our case, we find it at 381 nm for ZnO, 384 nm for 2% Gd-doped ZnO and 383 nm for the 5% Gd-doped ZnO polycrystalline sample. This peak represented ZnO's near band edge (NBE) transition because of free excitons recombinations and this PL property indicates high crystalline quality. The luminescent character- istics in the visible region are responsible for the different defects, like zinc interstitials (Zni), oxygen vacancies (Vo), etc., present in the ZnO crystal matrix. As a result, they reported that both ZnO (DC) and ZnO nanorods were found to be defect-free good crystalline and optical properties mate- rials. In our case, all the prepared Gd-doped ZnO powder samples have been found to be with single ionized oxygen vacancies, which are confirmed by the green emission peak at 525 nm in the PL spectra. Conclusion The Gd-doped ZnO powder samples were synthesized by the solid-state reaction method. The XRD patterns affirm that Gd has been successfully incorporated into the ZnO lattice and confirm the hexagonal wurtzite structure. SEM images have been used to reveal the morphologies of the synthesized samples, which appear as rod-like structures. The XPS results showed that the oxygen vacancy-related states in Gd-doped samples increased with increasing Gd doping. PL findings confirmed that the defect-related states are present in the Gd-doped ZnO polycrystalline samples. The green emission and ultra-violet emission peaks' intensity ratio is 0.418 for the 5% Gd-doped ZnO sample, which is the maxi- mum compared to the pure ZnO and 2% Gd-doped ZnO polycrystalline powder sample. These findings confirmed that the oxygen vacancies increase as the Gd concentration increases and the PL results agree well with the XPS results. The UV absorption spectra findings reveal that the band gap in the 5% Gd-doped ZnO sample is found to be 3.23 eV, which is the minimum compared to both the pure ZnO and the 2% Gd-doped ZnO samples, confirming that Eg is reduced with increasing Gd concentration. Acknowledgment The authors are thankful to USIC, University of Rajasthan, Jaipur, Rajasthan (India), for providing SEM images of the prepared samples. We also thank department of physics, BanasthaliVidhyapith, Banasthali, Jaipur, Rajasthan (India) for rendering XRD data. Funding sources This research is not financed by any agency. Authors' contribution Sample preparation, data analysis, manuscript composition and writing (Mahendra Kumar Gora); sample synthesis and data characterization (Arvind Kumar); data recording (Ban- wari Lal Choudhary); data analysis and interpretation (Sanjay Kumar); reviewing and editing (Satya NarainDolia); supervision, writing, reviewing and editing (Rishi Kumar Singhal). Conflicts of interest or competing interests All authors declare that we have no conflict of interest or competing interests. Data availability On request, data will be available. Ethical approval Not applicable. References Ahmad M, Yingying S, Nisar A, Sun H, Shen W, Wei M and Zhu J (2011), Synthesis of hierarchical flower-like ZnO nanostructures and their functionalization by Au nanoparti- cles for improved photocatalytic and high performance Li-ion battery anodes, J. Mater. 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Magn. 28: 2505-2515. https://doi.org/10.1007/S10948-015-3045-2 Wakano T, Fujimura N, Morinaga Y, Abe N, Ashida A and Ito T (2001), Magnetic and Magneto-Transport Properties of ZnO: Ni Films, Physica E: Low-Dimensional Systems and Nanostructures. 10: 260-264. doi:10. 1016/S1386-9477(01)00095-9 Wang XJ, Wang W and Liu YL (2012), Enhanced acetone sensing performance of Au nanoparticles functional- ized flower-like ZnO, Sensors Actuators B: Chemical. 168: 39-45. https://doi.org/10.1016/j.snb.2012.01.006 Yi XY, Ma CY, Yuan F, Wang N, Qin FW, Hu BC and Zhang QY (2017), Structural, morphological, photolumines- cence and photocatalytic properties of Gd doped ZnO films, Thin Solid Films. 636: 339-345. https://- doi.org/10.1016/j.tsf.2017.05.020 doped ZnO nanocrystals also have an attractive optical responsiveness. Many theoretical and experimental studies showed that RE-doped ZnO could reportedly absorb ultravio- let (UV) light (Chakraborty et al. 2017). Obeid et al. (2019) prepared undoped and Gd-doped ZnO nanocrystalline samples using the thermal decomposition method. They observed that the optical absorption spectra of pristine ZnO increased with a 6% Gd doping concentration and the magnetic properties changed with changing dopant amounts. Their PL spectroscopy results showed the existence of defects, which increased with increasing Gd doping concentrations. They suggested that these DMS nanoparticles can be used for magneto-optoelectronic practical device applications. Undoubtedly, the RE-doped ZnO nanostructures have been intensively studied recently because this is a rapidly growing field due to their multi-functionality and their use in possible new generation applications. With an aim to understand the effect of Gd doping in ZnO in terms of its electronic and optical properties we have synthesize Gd-doped ZnO powder series of different Gd (0%, 2%, and 5%) values. Various characterization techniques have been utilized to explore the electronic, structural and optical features of the synthesized powder series. Gd doping into ZnO produced changes in the band gap and enhanced oxygen vacancies related states in the compound. Materials and methods The Gd-doped ZnO powder samples with varying Gd (0%, 2%, and 5%) concentrations have been synthesized using the conventional solid-state reaction method. A suitable amount of high-purity (99.999% Sigma-Aldrich) zinc oxide (ZnO) and gadolinium oxide (Gd2O3) powder have been used for their preparation. For achieving perfect homogeneity, the ingredients were properly pounded for ~8 hours in an agate mortar and pestle. The prepared material has been sintered for ~8h at~550°C and cooled at room temperature. Again, the mixture was ground for ~2 hours and sintered for ~6 hours at ~550°C. The mixture was milled for ~4 hours before being turned into pellets. Finally, these pellets were sintered for around ~8 hours at about ~600°C. Finally, we ground the pellets to make the powder. The powder form of the prepared samples has been used for further characterization. Characterization techniques The crystallographic structures of the samples have been explored using an X-ray diffractometer (Make: Panalytical X'Pert PRO) using the photon energy of Cu Kα (λ= 1.5406Å). SEM images have been used for the morphology study of the synthesized samples. The SEM equipment model Gora, Kumar, Choudhary, Dolia, Kumar and Singhal 55 RE elements, such as Gd, may introduce additional capabili- ties to the ZnO system because they may be capable of constructing combined practical devices on a single chip by combining magnetic and optical properties (Ohno et al. 1996; Tawil et al. 2011). Rare-earth (RE) metal doping in the dilute magnetic semiconductor (DMS) systems has recently received immense attention due to its potential usage in magneto electronic and photonic devices (Monteiro et al. 2006). The influence of Gd doping on the optical and electrical proper- ties of ZnO is crucial for developing optoelectronic devices and understanding the genesis of ferromagnetism. Ma and Wang (2012) synthesized the Gd-doped ZnO nanocrystals using the thermal evaporation deposition method. According to their findings, Gd doping has an appreciable impact on the optical characteristics of the ZnO. The strong UV and blue emissions are detected at low Gd concentrations because Gd impurities introduce a mid-gap state into ZnO. In compari- son, the UV and blue emissions reduce for high doping concentrations as a significant broad defect emission appears because of the vast numbers of defects, impurities, and excess Gd2O3 produced. Gd-doped ZnO nanocrystals can be used in optoelectronic devices. The optical and electrical tuning of the carrier density and optical band gap energy is essential for developing luminescent materials and equip- ment based on the ZnO DMS systems. The optical band gap and carrier concentration are essential parameters to yield information about the emission wavelength. Several develop- ment characteristics, like the synthesis methods, impurity concentration and substrate variety have been reported to influence these parameters (Wakano et al. 2001; Tan et al. 2011; Murtaza et al. 2011). The synthesis of DMS materials with unique optical, photo- catalytic and magnetic characteristics seems to be the most promising candidate for the subsequent generation of electronic, optoelectronic and spintronic appliances (Kumar and Sahare 2014). The low-dimension materials with imper- fection-free lattice structures have excellent electrical and magnetic characteristics; purposefully made or accidental structural defects play a significant role in altering their features (Li et al. 2016; Obeid et al. 2018). Thus, the presence of different kinds of cation or anion vacancies and intersti- tials in ZnO nanocrystals may change their magnetic proper- ties, photoluminescence, and photocatalytic properties (Coey et al. 2005). Although certain experimental and theoretical findings based on DFT indicate that Gd-doped ZnO exhibits the room temperature ferromagnetism (RTFM) (Potzger et al. 2006; Aravindh et al. 2014) property, several studies have demonstrated that the RTFM is not present (Sambasivam et al. 2015). In addition to their magnetic qualities, the 4f ions ETH 30 kV EVO-18 Carl Zeiss, with a tilt of 0° to 60° and a rotation of 360°, has been used for taking SEM images.The defect-related states and chemical analysis of the samples have been determined using X-ray photoelectron spectrosco- py. A hemispherical analyzer with a 128-channel detector and a monochromated, fully integrated K-alpha small-spot X-ray photoelectron spectrometer system of 180° double focusing is used in XPS (Thermo Scientific made). The UV-visible absorption spectroscopy (Model: Shimadzu UV-3600 UV-VIS-NIR Spectrophotometer) was used to explore the prepared samples' optical absorption and band gap. The measurements of UV-visible absorption spectra have been taken using the powder form of the samples. PL spectroscopy was used to analyze defect-related states in the prepared samples. Photoluminescence spectra have been recorded at room temperature using the fluorescence spectrometer (Model: Perkin Elmer FL 8500). Results and discussion XRD analysis Fig. 1. depicts the powder XRD patterns of the Gd-doped ZnO (Gd = 0%, 2%, and 5%) samples. All the diffraction peaks detected in the ZnO sample match with the standard JCPDS card number (36-1451). This confirms a hexagonal wurtzite crystal structure of the samples. The diffraction peaks were observed at 31.88°, 34.50°, 36.25°, 47.72°, 56.69°, 63.03°, 66.59°, 68.17°, and 69.35°, which are related to the planes (100), (002), (101), (102), (110), (103), (200), (112), and (201), respectively (Ganesh et al. 2018; Bharathi et al. 2020). Further, some additional small peaks have been observed at 28.61°, 33.21°, and 39.14° with increasing Gd doping. These secondary peaks represent- ing a crystallite phase have been identified as Gd2O3, which is well consistent with earlier reports (Das et al. 2012). As shown in Fig. 2, the highest intense peak related to the (101) plane shifted slightly higher angles with the increasing concentration of Gd doping. The shift is because of the substitution of bigger-sized Gd3+ (0.94 Å) ions than Zn2+ (0.74 Å) ions in the hexagonal wurtzite structure. The peak shift may indicate that Gd3+ ions have occupied the crystallo- graphic positions of Zn2+ ions in the ZnO host lattice, or itmay be because of the structural strain caused by the forma- tion of internal compressive micro stress (Dakhel and El-Hilo 2010; Kumar et al. 2014; Sahu et al. 2017). Rietveld refinements have been performed using the Full Prof Programme (shown in Fig. 3). The Pseudo-Voigt function has been used for Rietveld refinement of all the samples with the space group P63mc. The estimated lattice parameters have been listed in Table I. The lattice parameters are found to decrease with Gd doping, similar to those reported in earlier studies (Kaur et al. 2016; Obeid et al. 2019). The factors like the induced deficiencies (vacancies, interstitial) and the ionic radius of Zn and Gd ions can be responsible for the observed change (Kaur et al. 2016; Kumar and Thangavel 2017). SEM analysis Scanning electron micrographs have been used to analyze the morphology of the Gd-doped ZnO powder samples. The SEM images reveal a rod-like morphology in pure ZnO (Gora et al. 2022) and the Gd-doped ZnO polycrystalline samples with some proof of agglomeration and phase segre- gation, as depicted in Fig. 4 (a, b and c). Profound observa- tion of the particles exhibits that the crystallite size is above 100 nm. The particles were intensive and incompatibly distributed all over the mass. A distinct boundary between neighbouring crystallites can be noticed, despite the proxim- ity of these smaller crystallites. XPS analysis The XPS technique is an excellent tool for determining the surface chemistry and electron configuration of the various elements present in a multicomponent material. The carbon C1s peak (284.6 eV) has been used as a refer- ence to calibrate all the binding energies of the spectra. The survey spectrum of the Gd-doped ZnO samples is shown in Fig. 5. The survey spectra revealed the existence of O, Zn, and Gd elements without any impurity in the samples. For ZnO and 2% Gd-doped ZnO powder samples, the binding energies of the Zn2p3/2 and Zn2p1/2 peaks are found to be 1021.25 eV, 1044.25 eV, 1021.43 eV, and 1044.43 eV, respec- tively. However, for the 5% Gd-doped ZnO sample, these peaks are at 1021.83 and 1044.83 eV energy positions. The small shift could be assigned to the creation of Zn interstitials in ZnO upon Gd doping. The binding energy gap between the zinc doublet peaks has been found at about 23 eV. This indicates that Zn in the ZnO crystal structure is in the Zn2+ oxidation state (Khataee et al. 2015; Gawai et al. 2019) as the spin-orbital splitting of Zn2p is 23 eV. This difference does not change with the Gd doping pointing out that Gd doping has no discernible effect on the chemical position of ZnO. The O1s asymmetric XPS spectraare shown in Fig.7 (a) which is asymmetric in shape. The O1s XPS spectra of all these samples i.e. the ZnO, the Zn0.98Gd0.02O, and the Zn0.95Gd0.05O have been deconvoluted mainly into two Gauss- ian peaks, as shown in Fig. 7 (b, c, and d). The lower binding peaks for pure and Gd-doped ZnO (Gd = 2% and 5%) polycrystalline samples have been detected at 529.93 eV, 529.93 eV and 529.78 eV, respectively, which attributed to the lattice oxygen in the hexagonal structure of the ZnO. The higher binding peak for the pure and the Gd-doped ZnO samples have been found at 531.51 eV, 531.66 eV, and 531.49 eV, respectively, which is due to the presence of oxygen vacancies in the ZnO structure (Bharathi et al. 2020; Sukumaran et al. 2021). An additional signal centered at 528.29 eV has been detected in the 5% Gd-doped ZnO powder sample, which could be ascribed to the coordination of oxygen in Gd-O-Zn along grain boundaries because of the excessive Gd dopants and also attributed to the presence of Gd2O3 in the sample (Yi et al. 2017). The lattice oxygen peak has slightly shifted to the lower binding energy with increas- ing Gd concentration, which has been due to the increased oxygen vacancies with increasing Gd doping. The estimated area ratios of the oxygen vacancies peak and the lattice oxygen peak for the samples ZnO, Zn0.98Gd0.02O, and Zn0.95Gd0.05O comes out to be 0.53, 1.30, and 2.49, respectively. These results show that the oxygen vacancies increase with increas- ing Gd concentration. The Fig. 8 (a, b) depicts the high-resolution Gd4d XPS spectra of the Gd-doped samples.In the Gd4d state, the spin-orbit splatted peaks are at 144.6 eV for Gd4d3/2 and 139.6 eV for Gd4d5/2 for the 2% Gd-doped sample, whereas for the 5% Gd-doped ZnO sample, the spin-orbit splits at 145.5 eV for Gd4d3/2 and 139.7 eV for Gd4d5/2 as shown in Fig. 8 (a, b). This indicates that Gd is present in the Gd3+ state in the ZnO hexagonal structure. The shift in peak values of Gd4d3/2 and Gd4d5/2 from 144.6 eV and 139.6 eV, respective- ly; in the case of 2% Gd-doped sample to 145.5 eV and 139.7 eV, respectively, in the case of 5% Gd-doped sample. This shift in Gd4d peaks is ascribed to the electron transfer from plasmonics Gd to ZnO because of the strong electronic interaction (covalent bond) between Gd and the oxide (Ahmad et al. 2011; Wang et al. 2012; Bharathi et al. 2020). UV visible spectroscopy analysis The UV–Visible spectroscopy is a powerful tool for estimat- ing band gap of materials. UV–Vis absorbance spectra and tauc plots for the Gd-doped ZnO samples (Gd = 0% (Gora et al. 2022), 2%, and 5%) samples are shown in Figs.9 (a, b, c, and d). The spectra show a red shift with increasing Gd amount in the ZnO.The UV–Vis absorption intensity of the synthesized polycrystalline samples is found to reduce with the increasing Gd concentration (Mazhdi and Tafreshi 2018). Tauc's plot has been used to calculate the direct band gap of the samples (Jain et al. 2006). The direct band gap has been estimated using the following equation: Here, α is the absorption coefficient,υ is frequency, h is the Planck constant, A is a constant, and Eg is the energy band gap of the substance. Extrapolating the linear component of the curve plotted among (αhυ) 2 and hυ depicted in Fig. 9 (b, c, and d) has been used to obtain the band gap (Farhad et al. 2018; Ghos et al. 2021). The band gap values calculated for the Gd-doped ZnO samples, i.e.are 3.31 eV (Gora et al. 2022), 3.27 eV, and 3.23eV, for the samples Gd = 0%, 2% and 5%, respectively. The small redshift observed in the band gap of Gd-doped ZnO samples is because of the changes in electronic structure as well as enhanced oxygen vacancies with the increasing Gd doping (Yi et al. 2017; Flemban et al. 2016), which is respon- sible for the band gap reduction. Photoluminescence spectroscopy analysis The structural flaws like ionic and atomic vacancies, replace- ments and interstitials have been explored using the PL spectra of the synthesized polycrystalline samples. Fig. 10 (a, b and c) shows the deconvoluted, Gaussian-fitted PL spectra of the synthesized Gd-doped ZnO polycrystalline powder samples. The PL spectra of the samples were recorded at room temperature in order to determine the types of vacancies, defect band emission etc. (Lin et al. 2001; Yi et al. 2017). The photoluminescence spectra have been deconvoluted and the different peaks responsible for the emission have been Gaussian fitted. For these samples the band edge emission peaksare detected at 381 nm, 384 nm, and 383 nm, for the Gd = 0%, 2% and 5% samples, respectively. The UV emission is responsible for the excitonic interaction related to the band edge emission. The intense violet emission exhibited in the Gd-doped ZnO at about 415 nm could be because ofthe oxygen vacancies. The exciton interaction between the holes in the valence band and electrons located in the interstitial zinc could be responsible for the violet emission peak at about 447 nm. Intrinsic deficiencies like interstitial zinc and oxygen can be attributed to the peak at 477 nm (Singh et al. 2009; Kaur et al. 2016). The transformation between singly ionized oxygen deficiency and the photo-created holes (Ken- nedy et al. 2014) or the surface imperfection and electrons near the conduction band, might be responsible for the green emission peak seen for the Gd-doped ZnOat around 525 nm. The green emissions are commonly attributed to theoxygen vacancies (Studenikin et al. 1998). For Gd-doped ZnO polycrystalline powder samples, the intensity ratio of the green and ultra-violet emission peaks is found to be 0.090 for ZnO, 0.204 for the 2% Gd-doped ZnO, and 0.418 for the 5% Gd-doped ZnO. The defect-related emissions enhanced with increasing Gd doping in the ZnO indicate that a large number of deficiencies, such as oxygen vacancies, are most usually related to crystal deformation (Yi et al. 2017). The results reveal that the Gd doping enhances the Zni and Vo flaws. It could be attributed to structural deformation created by Gd atoms with different ionic sizes than Zn in the ZnO (Ban- dopadhyay and Mitra 2015; Sukumaran et al. 2021). Increas- ing Gd doping in ZnO indicates an increase in defect states, which matches well with the XPS results. We compared our PL results with Farhad et al. (2019), who prepared ZnO DC (drop casting) and ZnO nanorods. Their PL results detected the PL peak at 380 nm and a barely observable green-yellow emission peak; in our case, we find it at 381 nm for ZnO, 384 nm for 2% Gd-doped ZnO and 383 nm for the 5% Gd-doped ZnO polycrystalline sample. This peak represented ZnO's near band edge (NBE) transition because of free excitons recombinations and this PL property indicates high crystalline quality. The luminescent character- istics in the visible region are responsible for the different defects, like zinc interstitials (Zni), oxygen vacancies (Vo), etc., present in the ZnO crystal matrix. As a result, they reported that both ZnO (DC) and ZnO nanorods were found to be defect-free good crystalline and optical properties mate- rials. In our case, all the prepared Gd-doped ZnO powder samples have been found to be with single ionized oxygen vacancies, which are confirmed by the green emission peak at 525 nm in the PL spectra. Conclusion The Gd-doped ZnO powder samples were synthesized by the solid-state reaction method. The XRD patterns affirm that Gd has been successfully incorporated into the ZnO lattice and confirm the hexagonal wurtzite structure. SEM images have been used to reveal the morphologies of the synthesized samples, which appear as rod-like structures. The XPS results showed that the oxygen vacancy-related states in Gd-doped samples increased with increasing Gd doping. PL findings confirmed that the defect-related states are present in the Gd-doped ZnO polycrystalline samples. The green emission and ultra-violet emission peaks' intensity ratio is 0.418 for the 5% Gd-doped ZnO sample, which is the maxi- mum compared to the pure ZnO and 2% Gd-doped ZnO polycrystalline powder sample. These findings confirmed that the oxygen vacancies increase as the Gd concentration increases and the PL results agree well with the XPS results. The UV absorption spectra findings reveal that the band gap in the 5% Gd-doped ZnO sample is found to be 3.23 eV, which is the minimum compared to both the pure ZnO and the 2% Gd-doped ZnO samples, confirming that Eg is reduced with increasing Gd concentration. Acknowledgment The authors are thankful to USIC, University of Rajasthan, Jaipur, Rajasthan (India), for providing SEM images of the prepared samples. We also thank department of physics, BanasthaliVidhyapith, Banasthali, Jaipur, Rajasthan (India) for rendering XRD data. Funding sources This research is not financed by any agency. Authors' contribution Sample preparation, data analysis, manuscript composition and writing (Mahendra Kumar Gora); sample synthesis and data characterization (Arvind Kumar); data recording (Ban- wari Lal Choudhary); data analysis and interpretation (Sanjay Kumar); reviewing and editing (Satya NarainDolia); supervision, writing, reviewing and editing (Rishi Kumar Singhal). Conflicts of interest or competing interests All authors declare that we have no conflict of interest or competing interests. Data availability On request, data will be available. Ethical approval Not applicable. References Ahmad M, Yingying S, Nisar A, Sun H, Shen W, Wei M and Zhu J (2011), Synthesis of hierarchical flower-like ZnO nanostructures and their functionalization by Au nanoparti- cles for improved photocatalytic and high performance Li-ion battery anodes, J. Mater. 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Magn. 28: 2505-2515. https://doi.org/10.1007/S10948-015-3045-2 Wakano T, Fujimura N, Morinaga Y, Abe N, Ashida A and Ito T (2001), Magnetic and Magneto-Transport Properties of ZnO: Ni Films, Physica E: Low-Dimensional Systems and Nanostructures. 10: 260-264. doi:10. 1016/S1386-9477(01)00095-9 Wang XJ, Wang W and Liu YL (2012), Enhanced acetone sensing performance of Au nanoparticles functional- ized flower-like ZnO, Sensors Actuators B: Chemical. 168: 39-45. https://doi.org/10.1016/j.snb.2012.01.006 Yi XY, Ma CY, Yuan F, Wang N, Qin FW, Hu BC and Zhang QY (2017), Structural, morphological, photolumines- cence and photocatalytic properties of Gd doped ZnO films, Thin Solid Films. 636: 339-345. https://- doi.org/10.1016/j.tsf.2017.05.020 doped ZnO nanocrystals also have an attractive optical responsiveness. Many theoretical and experimental studies showed that RE-doped ZnO could reportedly absorb ultravio- let (UV) light (Chakraborty et al. 2017). Obeid et al. (2019) prepared undoped and Gd-doped ZnO nanocrystalline samples using the thermal decomposition method. They observed that the optical absorption spectra of pristine ZnO increased with a 6% Gd doping concentration and the magnetic properties changed with changing dopant amounts. Their PL spectroscopy results showed the existence of defects, which increased with increasing Gd doping concentrations. They suggested that these DMS nanoparticles can be used for magneto-optoelectronic practical device applications. Undoubtedly, the RE-doped ZnO nanostructures have been intensively studied recently because this is a rapidly growing field due to their multi-functionality and their use in possible new generation applications. With an aim to understand the effect of Gd doping in ZnO in terms of its electronic and optical properties we have synthesize Gd-doped ZnO powder series of different Gd (0%, 2%, and 5%) values. Various characterization techniques have been utilized to explore the electronic, structural and optical features of the synthesized powder series. Gd doping into ZnO produced changes in the band gap and enhanced oxygen vacancies related states in the compound. Materials and methods The Gd-doped ZnO powder samples with varying Gd (0%, 2%, and 5%) concentrations have been synthesized using the conventional solid-state reaction method. A suitable amount of high-purity (99.999% Sigma-Aldrich) zinc oxide (ZnO) and gadolinium oxide (Gd2O3) powder have been used for their preparation. For achieving perfect homogeneity, the ingredients were properly pounded for ~8 hours in an agate mortar and pestle. The prepared material has been sintered for ~8h at~550°C and cooled at room temperature. Again, the mixture was ground for ~2 hours and sintered for ~6 hours at ~550°C. The mixture was milled for ~4 hours before being turned into pellets. Finally, these pellets were sintered for around ~8 hours at about ~600°C. Finally, we ground the pellets to make the powder. The powder form of the prepared samples has been used for further characterization. Characterization techniques The crystallographic structures of the samples have been explored using an X-ray diffractometer (Make: Panalytical X'Pert PRO) using the photon energy of Cu Kα (λ= 1.5406Å). SEM images have been used for the morphology study of the synthesized samples. The SEM equipment model Fig. 1. XRD patterns for the pure ZnO powder (Gora et al. 2022) and (2% and 5%) Gd-doped ZnO powder samples Fig. 2. Extended XRD patterns for the (101) peak of undoped ZnO powder (Gora et al. 2022) and Gd-doped ZnO (Gd = 2% and 5%) powder samples Electronic, structural and optical properties of Gd-doped ZnO powder 58(1) 202356 RE elements, such as Gd, may introduce additional capabili- ties to the ZnO system because they may be capable of constructing combined practical devices on a single chip by combining magnetic and optical properties (Ohno et al. 1996; Tawil et al. 2011). Rare-earth (RE) metal doping in the dilute magnetic semiconductor (DMS) systems has recently received immense attention due to its potential usage in magneto electronic and photonic devices (Monteiro et al. 2006). The influence of Gd doping on the optical and electrical proper- ties of ZnO is crucial for developing optoelectronic devices and understanding the genesis of ferromagnetism. Ma and Wang (2012) synthesized the Gd-doped ZnO nanocrystals using the thermal evaporation deposition method. According to their findings, Gd doping has an appreciable impact on the optical characteristics of the ZnO. The strong UV and blue emissions are detected at low Gd concentrations because Gd impurities introduce a mid-gap state into ZnO. In compari- son, the UV and blue emissions reduce for high doping concentrations as a significant broad defect emission appears because of the vast numbers of defects, impurities, and excess Gd2O3 produced. Gd-doped ZnO nanocrystals can be used in optoelectronic devices. The optical and electrical tuning of the carrier density and optical band gap energy is essential for developing luminescent materials and equip- ment based on the ZnO DMS systems. The optical band gap and carrier concentration are essential parameters to yield information about the emission wavelength. Several develop- ment characteristics, like the synthesis methods, impurity concentration and substrate variety have been reported to influence these parameters (Wakano et al. 2001; Tan et al. 2011; Murtaza et al. 2011). The synthesis of DMS materials with unique optical, photo- catalytic and magnetic characteristics seems to be the most promising candidate for the subsequent generation of electronic, optoelectronic and spintronic appliances (Kumar and Sahare 2014). The low-dimension materials with imper- fection-free lattice structures have excellent electrical and magnetic characteristics; purposefully made or accidental structural defects play a significant role in altering their features (Li et al. 2016; Obeid et al. 2018). Thus, the presence of different kinds of cation or anion vacancies and intersti- tials in ZnO nanocrystals may change their magnetic proper- ties, photoluminescence, and photocatalytic properties (Coey et al. 2005). Although certain experimental and theoretical findings based on DFT indicate that Gd-doped ZnO exhibits the room temperature ferromagnetism (RTFM) (Potzger et al. 2006; Aravindh et al. 2014) property, several studies have demonstrated that the RTFM is not present (Sambasivam et al. 2015). In addition to their magnetic qualities, the 4f ions ETH 30 kV EVO-18 Carl Zeiss, with a tilt of 0° to 60° and a rotation of 360°, has been used for taking SEM images.The defect-related states and chemical analysis of the samples have been determined using X-ray photoelectron spectrosco- py. A hemispherical analyzer with a 128-channel detector and a monochromated, fully integrated K-alpha small-spot X-ray photoelectron spectrometer system of 180° double focusing is used in XPS (Thermo Scientific made). The UV-visible absorption spectroscopy (Model: Shimadzu UV-3600 UV-VIS-NIR Spectrophotometer) was used to explore the prepared samples' optical absorption and band gap. The measurements of UV-visible absorption spectra have been taken using the powder form of the samples. PL spectroscopy was used to analyze defect-related states in the prepared samples. Photoluminescence spectra have been recorded at room temperature using the fluorescence spectrometer (Model: Perkin Elmer FL 8500). Results and discussion XRD analysis Fig. 1. depicts the powder XRD patterns of the Gd-doped ZnO (Gd = 0%, 2%, and 5%) samples. All the diffraction peaks detected in the ZnO sample match with the standard JCPDS card number (36-1451). This confirms a hexagonal wurtzite crystal structure of the samples. The diffraction peaks were observed at 31.88°, 34.50°, 36.25°, 47.72°, 56.69°, 63.03°, 66.59°, 68.17°, and 69.35°, which are related to the planes (100), (002), (101), (102), (110), (103), (200), (112), and (201), respectively (Ganesh et al. 2018; Bharathi et al. 2020). Further, some additional small peaks have been observed at 28.61°, 33.21°, and 39.14° with increasing Gd doping. These secondary peaks represent- ing a crystallite phase have been identified as Gd2O3, which is well consistent with earlier reports (Das et al. 2012). As shown in Fig. 2, the highest intense peak related to the (101) plane shifted slightly higher angles with the increasing concentration of Gd doping. The shift is because of the substitution of bigger-sized Gd3+ (0.94 Å) ions than Zn2+ (0.74 Å) ions in the hexagonal wurtzite structure. The peak shift may indicate that Gd3+ ions have occupied the crystallo- graphic positions of Zn2+ ions in the ZnO host lattice, or itmay be because of the structural strain caused by the forma- tion of internal compressive micro stress (Dakhel and El-Hilo 2010; Kumar et al. 2014; Sahu et al. 2017). Rietveld refinements have been performed using the Full Prof Programme (shown in Fig. 3). The Pseudo-Voigt function has been used for Rietveld refinement of all the samples with the space group P63mc. The estimated lattice parameters have been listed in Table I. The lattice parameters are found to decrease with Gd doping, similar to those reported in earlier studies (Kaur et al. 2016; Obeid et al. 2019). The factors like the induced deficiencies (vacancies, interstitial) and the ionic radius of Zn and Gd ions can be responsible for the observed change (Kaur et al. 2016; Kumar and Thangavel 2017). SEM analysis Scanning electron micrographs have been used to analyze the morphology of the Gd-doped ZnO powder samples. The SEM images reveal a rod-like morphology in pure ZnO (Gora et al. 2022) and the Gd-doped ZnO polycrystalline samples with some proof of agglomeration and phase segre- gation, as depicted in Fig. 4 (a, b and c). Profound observa- tion of the particles exhibits that the crystallite size is above 100 nm. The particles were intensive and incompatibly distributed all over the mass. A distinct boundary between neighbouring crystallites can be noticed, despite the proxim- ity of these smaller crystallites. XPS analysis The XPS technique is an excellent tool for determining the surface chemistry and electron configuration of the various elements present in a multicomponent material. The carbon C1s peak (284.6 eV) has been used as a refer- ence to calibrate all the binding energies of the spectra. The survey spectrum of the Gd-doped ZnO samples is shown in Fig. 5. The survey spectra revealed the existence of O, Zn, and Gd elements without any impurity in the samples. For ZnO and 2% Gd-doped ZnO powder samples, the binding energies of the Zn2p3/2 and Zn2p1/2 peaks are found to be 1021.25 eV, 1044.25 eV, 1021.43 eV, and 1044.43 eV, respec- tively. However, for the 5% Gd-doped ZnO sample, these peaks are at 1021.83 and 1044.83 eV energy positions. The small shift could be assigned to the creation of Zn interstitials in ZnO upon Gd doping. The binding energy gap between the zinc doublet peaks has been found at about 23 eV. This indicates that Zn in the ZnO crystal structure is in the Zn2+ oxidation state (Khataee et al. 2015; Gawai et al. 2019) as the spin-orbital splitting of Zn2p is 23 eV. This difference does not change with the Gd doping pointing out that Gd doping has no discernible effect on the chemical position of ZnO. The O1s asymmetric XPS spectraare shown in Fig.7 (a) which is asymmetric in shape. The O1s XPS spectra of all these samples i.e. the ZnO, the Zn0.98Gd0.02O, and the Zn0.95Gd0.05O have been deconvoluted mainly into two Gauss- ian peaks, as shown in Fig. 7 (b, c, and d). The lower binding peaks for pure and Gd-doped ZnO (Gd = 2% and 5%) polycrystalline samples have been detected at 529.93 eV, 529.93 eV and 529.78 eV, respectively, which attributed to the lattice oxygen in the hexagonal structure of the ZnO. The higher binding peak for the pure and the Gd-doped ZnO samples have been found at 531.51 eV, 531.66 eV, and 531.49 eV, respectively, which is due to the presence of oxygen vacancies in the ZnO structure (Bharathi et al. 2020; Sukumaran et al. 2021). An additional signal centered at 528.29 eV has been detected in the 5% Gd-doped ZnO powder sample, which could be ascribed to the coordination of oxygen in Gd-O-Zn along grain boundaries because of the excessive Gd dopants and also attributed to the presence of Gd2O3 in the sample (Yi et al. 2017). The lattice oxygen peak has slightly shifted to the lower binding energy with increas- ing Gd concentration, which has been due to the increased oxygen vacancies with increasing Gd doping. The estimated area ratios of the oxygen vacancies peak and the lattice oxygen peak for the samples ZnO, Zn0.98Gd0.02O, and Zn0.95Gd0.05O comes out to be 0.53, 1.30, and 2.49, respectively. These results show that the oxygen vacancies increase with increas- ing Gd concentration. The Fig. 8 (a, b) depicts the high-resolution Gd4d XPS spectra of the Gd-doped samples.In the Gd4d state, the spin-orbit splatted peaks are at 144.6 eV for Gd4d3/2 and 139.6 eV for Gd4d5/2 for the 2% Gd-doped sample, whereas for the 5% Gd-doped ZnO sample, the spin-orbit splits at 145.5 eV for Gd4d3/2 and 139.7 eV for Gd4d5/2 as shown in Fig. 8 (a, b). This indicates that Gd is present in the Gd3+ state in the ZnO hexagonal structure. The shift in peak values of Gd4d3/2 and Gd4d5/2 from 144.6 eV and 139.6 eV, respective- ly; in the case of 2% Gd-doped sample to 145.5 eV and 139.7 eV, respectively, in the case of 5% Gd-doped sample. This shift in Gd4d peaks is ascribed to the electron transfer from plasmonics Gd to ZnO because of the strong electronic interaction (covalent bond) between Gd and the oxide (Ahmad et al. 2011; Wang et al. 2012; Bharathi et al. 2020). UV visible spectroscopy analysis The UV–Visible spectroscopy is a powerful tool for estimat- ing band gap of materials. UV–Vis absorbance spectra and tauc plots for the Gd-doped ZnO samples (Gd = 0% (Gora et al. 2022), 2%, and 5%) samples are shown in Figs.9 (a, b, c, and d). The spectra show a red shift with increasing Gd amount in the ZnO.The UV–Vis absorption intensity of the synthesized polycrystalline samples is found to reduce with the increasing Gd concentration (Mazhdi and Tafreshi 2018). Tauc's plot has been used to calculate the direct band gap of the samples (Jain et al. 2006). The direct band gap has been estimated using the following equation: Here, α is the absorption coefficient,υ is frequency, h is the Planck constant, A is a constant, and Eg is the energy band gap of the substance. Extrapolating the linear component of the curve plotted among (αhυ) 2 and hυ depicted in Fig. 9 (b, c, and d) has been used to obtain the band gap (Farhad et al. 2018; Ghos et al. 2021). The band gap values calculated for the Gd-doped ZnO samples, i.e.are 3.31 eV (Gora et al. 2022), 3.27 eV, and 3.23eV, for the samples Gd = 0%, 2% and 5%, respectively. The small redshift observed in the band gap of Gd-doped ZnO samples is because of the changes in electronic structure as well as enhanced oxygen vacancies with the increasing Gd doping (Yi et al. 2017; Flemban et al. 2016), which is respon- sible for the band gap reduction. Photoluminescence spectroscopy analysis The structural flaws like ionic and atomic vacancies, replace- ments and interstitials have been explored using the PL spectra of the synthesized polycrystalline samples. Fig. 10 (a, b and c) shows the deconvoluted, Gaussian-fitted PL spectra of the synthesized Gd-doped ZnO polycrystalline powder samples. The PL spectra of the samples were recorded at room temperature in order to determine the types of vacancies, defect band emission etc. (Lin et al. 2001; Yi et al. 2017). The photoluminescence spectra have been deconvoluted and the different peaks responsible for the emission have been Gaussian fitted. For these samples the band edge emission peaksare detected at 381 nm, 384 nm, and 383 nm, for the Gd = 0%, 2% and 5% samples, respectively. The UV emission is responsible for the excitonic interaction related to the band edge emission. The intense violet emission exhibited in the Gd-doped ZnO at about 415 nm could be because ofthe oxygen vacancies. The exciton interaction between the holes in the valence band and electrons located in the interstitial zinc could be responsible for the violet emission peak at about 447 nm. Intrinsic deficiencies like interstitial zinc and oxygen can be attributed to the peak at 477 nm (Singh et al. 2009; Kaur et al. 2016). The transformation between singly ionized oxygen deficiency and the photo-created holes (Ken- nedy et al. 2014) or the surface imperfection and electrons near the conduction band, might be responsible for the green emission peak seen for the Gd-doped ZnOat around 525 nm. The green emissions are commonly attributed to theoxygen vacancies (Studenikin et al. 1998). For Gd-doped ZnO polycrystalline powder samples, the intensity ratio of the green and ultra-violet emission peaks is found to be 0.090 for ZnO, 0.204 for the 2% Gd-doped ZnO, and 0.418 for the 5% Gd-doped ZnO. The defect-related emissions enhanced with increasing Gd doping in the ZnO indicate that a large number of deficiencies, such as oxygen vacancies, are most usually related to crystal deformation (Yi et al. 2017). The results reveal that the Gd doping enhances the Zni and Vo flaws. It could be attributed to structural deformation created by Gd atoms with different ionic sizes than Zn in the ZnO (Ban- dopadhyay and Mitra 2015; Sukumaran et al. 2021). Increas- ing Gd doping in ZnO indicates an increase in defect states, which matches well with the XPS results. We compared our PL results with Farhad et al. (2019), who prepared ZnO DC (drop casting) and ZnO nanorods. Their PL results detected the PL peak at 380 nm and a barely observable green-yellow emission peak; in our case, we find it at 381 nm for ZnO, 384 nm for 2% Gd-doped ZnO and 383 nm for the 5% Gd-doped ZnO polycrystalline sample. This peak represented ZnO's near band edge (NBE) transition because of free excitons recombinations and this PL property indicates high crystalline quality. The luminescent character- istics in the visible region are responsible for the different defects, like zinc interstitials (Zni), oxygen vacancies (Vo), etc., present in the ZnO crystal matrix. As a result, they reported that both ZnO (DC) and ZnO nanorods were found to be defect-free good crystalline and optical properties mate- rials. In our case, all the prepared Gd-doped ZnO powder samples have been found to be with single ionized oxygen vacancies, which are confirmed by the green emission peak at 525 nm in the PL spectra. Conclusion The Gd-doped ZnO powder samples were synthesized by the solid-state reaction method. The XRD patterns affirm that Gd has been successfully incorporated into the ZnO lattice and confirm the hexagonal wurtzite structure. SEM images have been used to reveal the morphologies of the synthesized samples, which appear as rod-like structures. The XPS results showed that the oxygen vacancy-related states in Gd-doped samples increased with increasing Gd doping. PL findings confirmed that the defect-related states are present in the Gd-doped ZnO polycrystalline samples. The green emission and ultra-violet emission peaks' intensity ratio is 0.418 for the 5% Gd-doped ZnO sample, which is the maxi- mum compared to the pure ZnO and 2% Gd-doped ZnO polycrystalline powder sample. These findings confirmed that the oxygen vacancies increase as the Gd concentration increases and the PL results agree well with the XPS results. The UV absorption spectra findings reveal that the band gap in the 5% Gd-doped ZnO sample is found to be 3.23 eV, which is the minimum compared to both the pure ZnO and the 2% Gd-doped ZnO samples, confirming that Eg is reduced with increasing Gd concentration. Acknowledgment The authors are thankful to USIC, University of Rajasthan, Jaipur, Rajasthan (India), for providing SEM images of the prepared samples. We also thank department of physics, BanasthaliVidhyapith, Banasthali, Jaipur, Rajasthan (India) for rendering XRD data. Funding sources This research is not financed by any agency. Authors' contribution Sample preparation, data analysis, manuscript composition and writing (Mahendra Kumar Gora); sample synthesis and data characterization (Arvind Kumar); data recording (Ban- wari Lal Choudhary); data analysis and interpretation (Sanjay Kumar); reviewing and editing (Satya NarainDolia); supervision, writing, reviewing and editing (Rishi Kumar Singhal). Conflicts of interest or competing interests All authors declare that we have no conflict of interest or competing interests. Data availability On request, data will be available. Ethical approval Not applicable. References Ahmad M, Yingying S, Nisar A, Sun H, Shen W, Wei M and Zhu J (2011), Synthesis of hierarchical flower-like ZnO nanostructures and their functionalization by Au nanoparti- cles for improved photocatalytic and high performance Li-ion battery anodes, J. Mater. 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Magn. 28: 2505-2515. https://doi.org/10.1007/S10948-015-3045-2 Wakano T, Fujimura N, Morinaga Y, Abe N, Ashida A and Ito T (2001), Magnetic and Magneto-Transport Properties of ZnO: Ni Films, Physica E: Low-Dimensional Systems and Nanostructures. 10: 260-264. doi:10. 1016/S1386-9477(01)00095-9 Wang XJ, Wang W and Liu YL (2012), Enhanced acetone sensing performance of Au nanoparticles functional- ized flower-like ZnO, Sensors Actuators B: Chemical. 168: 39-45. https://doi.org/10.1016/j.snb.2012.01.006 Yi XY, Ma CY, Yuan F, Wang N, Qin FW, Hu BC and Zhang QY (2017), Structural, morphological, photolumines- cence and photocatalytic properties of Gd doped ZnO films, Thin Solid Films. 636: 339-345. https://- doi.org/10.1016/j.tsf.2017.05.020 doped ZnO nanocrystals also have an attractive optical responsiveness. Many theoretical and experimental studies showed that RE-doped ZnO could reportedly absorb ultravio- let (UV) light (Chakraborty et al. 2017). Obeid et al. (2019) prepared undoped and Gd-doped ZnO nanocrystalline samples using the thermal decomposition method. They observed that the optical absorption spectra of pristine ZnO increased with a 6% Gd doping concentration and the magnetic properties changed with changing dopant amounts. Their PL spectroscopy results showed the existence of defects, which increased with increasing Gd doping concentrations. They suggested that these DMS nanoparticles can be used for magneto-optoelectronic practical device applications. Undoubtedly, the RE-doped ZnO nanostructures have been intensively studied recently because this is a rapidly growing field due to their multi-functionality and their use in possible new generation applications. With an aim to understand the effect of Gd doping in ZnO in terms of its electronic and optical properties we have synthesize Gd-doped ZnO powder series of different Gd (0%, 2%, and 5%) values. Various characterization techniques have been utilized to explore the electronic, structural and optical features of the synthesized powder series. Gd doping into ZnO produced changes in the band gap and enhanced oxygen vacancies related states in the compound. Materials and methods The Gd-doped ZnO powder samples with varying Gd (0%, 2%, and 5%) concentrations have been synthesized using the conventional solid-state reaction method. A suitable amount of high-purity (99.999% Sigma-Aldrich) zinc oxide (ZnO) and gadolinium oxide (Gd2O3) powder have been used for their preparation. For achieving perfect homogeneity, the ingredients were properly pounded for ~8 hours in an agate mortar and pestle. The prepared material has been sintered for ~8h at~550°C and cooled at room temperature. Again, the mixture was ground for ~2 hours and sintered for ~6 hours at ~550°C. The mixture was milled for ~4 hours before being turned into pellets. Finally, these pellets were sintered for around ~8 hours at about ~600°C. Finally, we ground the pellets to make the powder. The powder form of the prepared samples has been used for further characterization. Characterization techniques The crystallographic structures of the samples have been explored using an X-ray diffractometer (Make: Panalytical X'Pert PRO) using the photon energy of Cu Kα (λ= 1.5406Å). SEM images have been used for the morphology study of the synthesized samples. The SEM equipment model Sample Lattice Parameter Å c/a a c ZnO 3.2505 5.2077 1.6 2% Gd@ZnO 3.2498 5.2059 1.6 5% Gd@ZnO 3.2490 5.2047 1.6 Table I. Lattice parameters and c/a ratio of the Gd-doped ZnO polycrystalline powder samples Fig. 3. Rietveld refined XRD patterns for polycrystalline powder samples of (a) the pure ZnO (Gora et al. 2022), (b) the 2% Gd-doped ZnO and (c) the 5% Gd-doped ZnO. Observed data is shown by red dots and black solid line is the fitted profile. Bragg peak positions are marked by vertical green lines. The lower plot in blue is the residual curve Gora, Kumar, Choudhary, Dolia, Kumar and Singhal 57 RE elements, such as Gd, may introduce additional capabili- ties to the ZnO system because they may be capable of constructing combined practical devices on a single chip by combining magnetic and optical properties (Ohno et al. 1996; Tawil et al. 2011). Rare-earth (RE) metal doping in the dilute magnetic semiconductor (DMS) systems has recently received immense attention due to its potential usage in magneto electronic and photonic devices (Monteiro et al. 2006). The influence of Gd doping on the optical and electrical proper- ties of ZnO is crucial for developing optoelectronic devices and understanding the genesis of ferromagnetism. Ma and Wang (2012) synthesized the Gd-doped ZnO nanocrystals using the thermal evaporation deposition method. According to their findings, Gd doping has an appreciable impact on the optical characteristics of the ZnO. The strong UV and blue emissions are detected at low Gd concentrations because Gd impurities introduce a mid-gap state into ZnO. In compari- son, the UV and blue emissions reduce for high doping concentrations as a significant broad defect emission appears because of the vast numbers of defects, impurities, and excess Gd2O3 produced. Gd-doped ZnO nanocrystals can be used in optoelectronic devices. The optical and electrical tuning of the carrier density and optical band gap energy is essential for developing luminescent materials and equip- ment based on the ZnO DMS systems. The optical band gap and carrier concentration are essential parameters to yield information about the emission wavelength. Several develop- ment characteristics, like the synthesis methods, impurity concentration and substrate variety have been reported to influence these parameters (Wakano et al. 2001; Tan et al. 2011; Murtaza et al. 2011). The synthesis of DMS materials with unique optical, photo- catalytic and magnetic characteristics seems to be the most promising candidate for the subsequent generation of electronic, optoelectronic and spintronic appliances (Kumar and Sahare 2014). The low-dimension materials with imper- fection-free lattice structures have excellent electrical and magnetic characteristics; purposefully made or accidental structural defects play a significant role in altering their features (Li et al. 2016; Obeid et al. 2018). Thus, the presence of different kinds of cation or anion vacancies and intersti- tials in ZnO nanocrystals may change their magnetic proper- ties, photoluminescence, and photocatalytic properties (Coey et al. 2005). Although certain experimental and theoretical findings based on DFT indicate that Gd-doped ZnO exhibits the room temperature ferromagnetism (RTFM) (Potzger et al. 2006; Aravindh et al. 2014) property, several studies have demonstrated that the RTFM is not present (Sambasivam et al. 2015). In addition to their magnetic qualities, the 4f ions ETH 30 kV EVO-18 Carl Zeiss, with a tilt of 0° to 60° and a rotation of 360°, has been used for taking SEM images.The defect-related states and chemical analysis of the samples have been determined using X-ray photoelectron spectrosco- py. A hemispherical analyzer with a 128-channel detector and a monochromated, fully integrated K-alpha small-spot X-ray photoelectron spectrometer system of 180° double focusing is used in XPS (Thermo Scientific made). The UV-visible absorption spectroscopy (Model: Shimadzu UV-3600 UV-VIS-NIR Spectrophotometer) was used to explore the prepared samples' optical absorption and band gap. The measurements of UV-visible absorption spectra have been taken using the powder form of the samples. PL spectroscopy was used to analyze defect-related states in the prepared samples. Photoluminescence spectra have been recorded at room temperature using the fluorescence spectrometer (Model: Perkin Elmer FL 8500). Results and discussion XRD analysis Fig. 1. depicts the powder XRD patterns of the Gd-doped ZnO (Gd = 0%, 2%, and 5%) samples. All the diffraction peaks detected in the ZnO sample match with the standard JCPDS card number (36-1451). This confirms a hexagonal wurtzite crystal structure of the samples. The diffraction peaks were observed at 31.88°, 34.50°, 36.25°, 47.72°, 56.69°, 63.03°, 66.59°, 68.17°, and 69.35°, which are related to the planes (100), (002), (101), (102), (110), (103), (200), (112), and (201), respectively (Ganesh et al. 2018; Bharathi et al. 2020). Further, some additional small peaks have been observed at 28.61°, 33.21°, and 39.14° with increasing Gd doping. These secondary peaks represent- ing a crystallite phase have been identified as Gd2O3, which is well consistent with earlier reports (Das et al. 2012). As shown in Fig. 2, the highest intense peak related to the (101) plane shifted slightly higher angles with the increasing concentration of Gd doping. The shift is because of the substitution of bigger-sized Gd3+ (0.94 Å) ions than Zn2+ (0.74 Å) ions in the hexagonal wurtzite structure. The peak shift may indicate that Gd3+ ions have occupied the crystallo- graphic positions of Zn2+ ions in the ZnO host lattice, or itmay be because of the structural strain caused by the forma- tion of internal compressive micro stress (Dakhel and El-Hilo 2010; Kumar et al. 2014; Sahu et al. 2017). Rietveld refinements have been performed using the Full Prof Programme (shown in Fig. 3). The Pseudo-Voigt function has been used for Rietveld refinement of all the samples with the space group P63mc. The estimated lattice parameters have been listed in Table I. The lattice parameters are found to decrease with Gd doping, similar to those reported in earlier studies (Kaur et al. 2016; Obeid et al. 2019). The factors like the induced deficiencies (vacancies, interstitial) and the ionic radius of Zn and Gd ions can be responsible for the observed change (Kaur et al. 2016; Kumar and Thangavel 2017). SEM analysis Scanning electron micrographs have been used to analyze the morphology of the Gd-doped ZnO powder samples. The SEM images reveal a rod-like morphology in pure ZnO (Gora et al. 2022) and the Gd-doped ZnO polycrystalline samples with some proof of agglomeration and phase segre- gation, as depicted in Fig. 4 (a, b and c). Profound observa- tion of the particles exhibits that the crystallite size is above 100 nm. The particles were intensive and incompatibly distributed all over the mass. A distinct boundary between neighbouring crystallites can be noticed, despite the proxim- ity of these smaller crystallites. XPS analysis The XPS technique is an excellent tool for determining the surface chemistry and electron configuration of the various elements present in a multicomponent material. The carbon C1s peak (284.6 eV) has been used as a refer- ence to calibrate all the binding energies of the spectra. The survey spectrum of the Gd-doped ZnO samples is shown in Fig. 5. The survey spectra revealed the existence of O, Zn, and Gd elements without any impurity in the samples. For ZnO and 2% Gd-doped ZnO powder samples, the binding energies of the Zn2p3/2 and Zn2p1/2 peaks are found to be 1021.25 eV, 1044.25 eV, 1021.43 eV, and 1044.43 eV, respec- tively. However, for the 5% Gd-doped ZnO sample, these peaks are at 1021.83 and 1044.83 eV energy positions. The small shift could be assigned to the creation of Zn interstitials in ZnO upon Gd doping. The binding energy gap between the zinc doublet peaks has been found at about 23 eV. This indicates that Zn in the ZnO crystal structure is in the Zn2+ oxidation state (Khataee et al. 2015; Gawai et al. 2019) as the spin-orbital splitting of Zn2p is 23 eV. This difference does not change with the Gd doping pointing out that Gd doping has no discernible effect on the chemical position of ZnO. The O1s asymmetric XPS spectraare shown in Fig.7 (a) which is asymmetric in shape. The O1s XPS spectra of all these samples i.e. the ZnO, the Zn0.98Gd0.02O, and the Zn0.95Gd0.05O have been deconvoluted mainly into two Gauss- ian peaks, as shown in Fig. 7 (b, c, and d). The lower binding peaks for pure and Gd-doped ZnO (Gd = 2% and 5%) polycrystalline samples have been detected at 529.93 eV, 529.93 eV and 529.78 eV, respectively, which attributed to the lattice oxygen in the hexagonal structure of the ZnO. The higher binding peak for the pure and the Gd-doped ZnO samples have been found at 531.51 eV, 531.66 eV, and 531.49 eV, respectively, which is due to the presence of oxygen vacancies in the ZnO structure (Bharathi et al. 2020; Sukumaran et al. 2021). An additional signal centered at 528.29 eV has been detected in the 5% Gd-doped ZnO powder sample, which could be ascribed to the coordination of oxygen in Gd-O-Zn along grain boundaries because of the excessive Gd dopants and also attributed to the presence of Gd2O3 in the sample (Yi et al. 2017). The lattice oxygen peak has slightly shifted to the lower binding energy with increas- ing Gd concentration, which has been due to the increased oxygen vacancies with increasing Gd doping. The estimated area ratios of the oxygen vacancies peak and the lattice oxygen peak for the samples ZnO, Zn0.98Gd0.02O, and Zn0.95Gd0.05O comes out to be 0.53, 1.30, and 2.49, respectively. These results show that the oxygen vacancies increase with increas- ing Gd concentration. The Fig. 8 (a, b) depicts the high-resolution Gd4d XPS spectra of the Gd-doped samples.In the Gd4d state, the spin-orbit splatted peaks are at 144.6 eV for Gd4d3/2 and 139.6 eV for Gd4d5/2 for the 2% Gd-doped sample, whereas for the 5% Gd-doped ZnO sample, the spin-orbit splits at 145.5 eV for Gd4d3/2 and 139.7 eV for Gd4d5/2 as shown in Fig. 8 (a, b). This indicates that Gd is present in the Gd3+ state in the ZnO hexagonal structure. The shift in peak values of Gd4d3/2 and Gd4d5/2 from 144.6 eV and 139.6 eV, respective- ly; in the case of 2% Gd-doped sample to 145.5 eV and 139.7 eV, respectively, in the case of 5% Gd-doped sample. This shift in Gd4d peaks is ascribed to the electron transfer from plasmonics Gd to ZnO because of the strong electronic interaction (covalent bond) between Gd and the oxide (Ahmad et al. 2011; Wang et al. 2012; Bharathi et al. 2020). UV visible spectroscopy analysis The UV–Visible spectroscopy is a powerful tool for estimat- ing band gap of materials. UV–Vis absorbance spectra and tauc plots for the Gd-doped ZnO samples (Gd = 0% (Gora et al. 2022), 2%, and 5%) samples are shown in Figs.9 (a, b, c, and d). The spectra show a red shift with increasing Gd amount in the ZnO.The UV–Vis absorption intensity of the synthesized polycrystalline samples is found to reduce with the increasing Gd concentration (Mazhdi and Tafreshi 2018). Tauc's plot has been used to calculate the direct band gap of the samples (Jain et al. 2006). The direct band gap has been estimated using the following equation: Here, α is the absorption coefficient,υ is frequency, h is the Planck constant, A is a constant, and Eg is the energy band gap of the substance. Extrapolating the linear component of the curve plotted among (αhυ) 2 and hυ depicted in Fig. 9 (b, c, and d) has been used to obtain the band gap (Farhad et al. 2018; Ghos et al. 2021). The band gap values calculated for the Gd-doped ZnO samples, i.e.are 3.31 eV (Gora et al. 2022), 3.27 eV, and 3.23eV, for the samples Gd = 0%, 2% and 5%, respectively. The small redshift observed in the band gap of Gd-doped ZnO samples is because of the changes in electronic structure as well as enhanced oxygen vacancies with the increasing Gd doping (Yi et al. 2017; Flemban et al. 2016), which is respon- sible for the band gap reduction. Photoluminescence spectroscopy analysis The structural flaws like ionic and atomic vacancies, replace- ments and interstitials have been explored using the PL spectra of the synthesized polycrystalline samples. Fig. 10 (a, b and c) shows the deconvoluted, Gaussian-fitted PL spectra of the synthesized Gd-doped ZnO polycrystalline powder samples. The PL spectra of the samples were recorded at room temperature in order to determine the types of vacancies, defect band emission etc. (Lin et al. 2001; Yi et al. 2017). The photoluminescence spectra have been deconvoluted and the different peaks responsible for the emission have been Gaussian fitted. For these samples the band edge emission peaksare detected at 381 nm, 384 nm, and 383 nm, for the Gd = 0%, 2% and 5% samples, respectively. The UV emission is responsible for the excitonic interaction related to the band edge emission. The intense violet emission exhibited in the Gd-doped ZnO at about 415 nm could be because ofthe oxygen vacancies. The exciton interaction between the holes in the valence band and electrons located in the interstitial zinc could be responsible for the violet emission peak at about 447 nm. Intrinsic deficiencies like interstitial zinc and oxygen can be attributed to the peak at 477 nm (Singh et al. 2009; Kaur et al. 2016). The transformation between singly ionized oxygen deficiency and the photo-created holes (Ken- nedy et al. 2014) or the surface imperfection and electrons near the conduction band, might be responsible for the green emission peak seen for the Gd-doped ZnOat around 525 nm. The green emissions are commonly attributed to theoxygen vacancies (Studenikin et al. 1998). For Gd-doped ZnO polycrystalline powder samples, the intensity ratio of the green and ultra-violet emission peaks is found to be 0.090 for ZnO, 0.204 for the 2% Gd-doped ZnO, and 0.418 for the 5% Gd-doped ZnO. The defect-related emissions enhanced with increasing Gd doping in the ZnO indicate that a large number of deficiencies, such as oxygen vacancies, are most usually related to crystal deformation (Yi et al. 2017). The results reveal that the Gd doping enhances the Zni and Vo flaws. It could be attributed to structural deformation created by Gd atoms with different ionic sizes than Zn in the ZnO (Ban- dopadhyay and Mitra 2015; Sukumaran et al. 2021). Increas- ing Gd doping in ZnO indicates an increase in defect states, which matches well with the XPS results. We compared our PL results with Farhad et al. (2019), who prepared ZnO DC (drop casting) and ZnO nanorods. Their PL results detected the PL peak at 380 nm and a barely observable green-yellow emission peak; in our case, we find it at 381 nm for ZnO, 384 nm for 2% Gd-doped ZnO and 383 nm for the 5% Gd-doped ZnO polycrystalline sample. This peak represented ZnO's near band edge (NBE) transition because of free excitons recombinations and this PL property indicates high crystalline quality. The luminescent character- istics in the visible region are responsible for the different defects, like zinc interstitials (Zni), oxygen vacancies (Vo), etc., present in the ZnO crystal matrix. As a result, they reported that both ZnO (DC) and ZnO nanorods were found to be defect-free good crystalline and optical properties mate- rials. In our case, all the prepared Gd-doped ZnO powder samples have been found to be with single ionized oxygen vacancies, which are confirmed by the green emission peak at 525 nm in the PL spectra. Conclusion The Gd-doped ZnO powder samples were synthesized by the solid-state reaction method. The XRD patterns affirm that Gd has been successfully incorporated into the ZnO lattice and confirm the hexagonal wurtzite structure. SEM images have been used to reveal the morphologies of the synthesized samples, which appear as rod-like structures. The XPS results showed that the oxygen vacancy-related states in Gd-doped samples increased with increasing Gd doping. PL findings confirmed that the defect-related states are present in the Gd-doped ZnO polycrystalline samples. The green emission and ultra-violet emission peaks' intensity ratio is 0.418 for the 5% Gd-doped ZnO sample, which is the maxi- mum compared to the pure ZnO and 2% Gd-doped ZnO polycrystalline powder sample. These findings confirmed that the oxygen vacancies increase as the Gd concentration increases and the PL results agree well with the XPS results. The UV absorption spectra findings reveal that the band gap in the 5% Gd-doped ZnO sample is found to be 3.23 eV, which is the minimum compared to both the pure ZnO and the 2% Gd-doped ZnO samples, confirming that Eg is reduced with increasing Gd concentration. Acknowledgment The authors are thankful to USIC, University of Rajasthan, Jaipur, Rajasthan (India), for providing SEM images of the prepared samples. We also thank department of physics, BanasthaliVidhyapith, Banasthali, Jaipur, Rajasthan (India) for rendering XRD data. Funding sources This research is not financed by any agency. Authors' contribution Sample preparation, data analysis, manuscript composition and writing (Mahendra Kumar Gora); sample synthesis and data characterization (Arvind Kumar); data recording (Ban- wari Lal Choudhary); data analysis and interpretation (Sanjay Kumar); reviewing and editing (Satya NarainDolia); supervision, writing, reviewing and editing (Rishi Kumar Singhal). Conflicts of interest or competing interests All authors declare that we have no conflict of interest or competing interests. Data availability On request, data will be available. Ethical approval Not applicable. References Ahmad M, Yingying S, Nisar A, Sun H, Shen W, Wei M and Zhu J (2011), Synthesis of hierarchical flower-like ZnO nanostructures and their functionalization by Au nanoparti- cles for improved photocatalytic and high performance Li-ion battery anodes, J. Mater. 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(2019) prepared undoped and Gd-doped ZnO nanocrystalline samples using the thermal decomposition method. They observed that the optical absorption spectra of pristine ZnO increased with a 6% Gd doping concentration and the magnetic properties changed with changing dopant amounts. Their PL spectroscopy results showed the existence of defects, which increased with increasing Gd doping concentrations. They suggested that these DMS nanoparticles can be used for magneto-optoelectronic practical device applications. Undoubtedly, the RE-doped ZnO nanostructures have been intensively studied recently because this is a rapidly growing field due to their multi-functionality and their use in possible new generation applications. With an aim to understand the effect of Gd doping in ZnO in terms of its electronic and optical properties we have synthesize Gd-doped ZnO powder series of different Gd (0%, 2%, and 5%) values. Various characterization techniques have been utilized to explore the electronic, structural and optical features of the synthesized powder series. Gd doping into ZnO produced changes in the band gap and enhanced oxygen vacancies related states in the compound. Materials and methods The Gd-doped ZnO powder samples with varying Gd (0%, 2%, and 5%) concentrations have been synthesized using the conventional solid-state reaction method. A suitable amount of high-purity (99.999% Sigma-Aldrich) zinc oxide (ZnO) and gadolinium oxide (Gd2O3) powder have been used for their preparation. For achieving perfect homogeneity, the ingredients were properly pounded for ~8 hours in an agate mortar and pestle. The prepared material has been sintered for ~8h at~550°C and cooled at room temperature. Again, the mixture was ground for ~2 hours and sintered for ~6 hours at ~550°C. The mixture was milled for ~4 hours before being turned into pellets. Finally, these pellets were sintered for around ~8 hours at about ~600°C. Finally, we ground the pellets to make the powder. The powder form of the prepared samples has been used for further characterization. Characterization techniques The crystallographic structures of the samples have been explored using an X-ray diffractometer (Make: Panalytical X'Pert PRO) using the photon energy of Cu Kα (λ= 1.5406Å). SEM images have been used for the morphology study of the synthesized samples. The SEM equipment model Fig. 4. SEM images of prepared polycrystalline powder samples: (a) for the ZnO (Gora et al. 2022), (b) for the 2% Gd-doped ZnO and (c) for the 5% Gd- doped ZnO Electronic, structural and optical properties of Gd-doped ZnO powder 58(1) 202358 RE elements, such as Gd, may introduce additional capabili- ties to the ZnO system because they may be capable of constructing combined practical devices on a single chip by combining magnetic and optical properties (Ohno et al. 1996; Tawil et al. 2011). Rare-earth (RE) metal doping in the dilute magnetic semiconductor (DMS) systems has recently received immense attention due to its potential usage in magneto electronic and photonic devices (Monteiro et al. 2006). The influence of Gd doping on the optical and electrical proper- ties of ZnO is crucial for developing optoelectronic devices and understanding the genesis of ferromagnetism. Ma and Wang (2012) synthesized the Gd-doped ZnO nanocrystals using the thermal evaporation deposition method. According to their findings, Gd doping has an appreciable impact on the optical characteristics of the ZnO. The strong UV and blue emissions are detected at low Gd concentrations because Gd impurities introduce a mid-gap state into ZnO. In compari- son, the UV and blue emissions reduce for high doping concentrations as a significant broad defect emission appears because of the vast numbers of defects, impurities, and excess Gd2O3 produced. Gd-doped ZnO nanocrystals can be used in optoelectronic devices. The optical and electrical tuning of the carrier density and optical band gap energy is essential for developing luminescent materials and equip- ment based on the ZnO DMS systems. The optical band gap and carrier concentration are essential parameters to yield information about the emission wavelength. Several develop- ment characteristics, like the synthesis methods, impurity concentration and substrate variety have been reported to influence these parameters (Wakano et al. 2001; Tan et al. 2011; Murtaza et al. 2011). The synthesis of DMS materials with unique optical, photo- catalytic and magnetic characteristics seems to be the most promising candidate for the subsequent generation of electronic, optoelectronic and spintronic appliances (Kumar and Sahare 2014). The low-dimension materials with imper- fection-free lattice structures have excellent electrical and magnetic characteristics; purposefully made or accidental structural defects play a significant role in altering their features (Li et al. 2016; Obeid et al. 2018). Thus, the presence of different kinds of cation or anion vacancies and intersti- tials in ZnO nanocrystals may change their magnetic proper- ties, photoluminescence, and photocatalytic properties (Coey et al. 2005). Although certain experimental and theoretical findings based on DFT indicate that Gd-doped ZnO exhibits the room temperature ferromagnetism (RTFM) (Potzger et al. 2006; Aravindh et al. 2014) property, several studies have demonstrated that the RTFM is not present (Sambasivam et al. 2015). In addition to their magnetic qualities, the 4f ions ETH 30 kV EVO-18 Carl Zeiss, with a tilt of 0° to 60° and a rotation of 360°, has been used for taking SEM images.The defect-related states and chemical analysis of the samples have been determined using X-ray photoelectron spectrosco- py. A hemispherical analyzer with a 128-channel detector and a monochromated, fully integrated K-alpha small-spot X-ray photoelectron spectrometer system of 180° double focusing is used in XPS (Thermo Scientific made). The UV-visible absorption spectroscopy (Model: Shimadzu UV-3600 UV-VIS-NIR Spectrophotometer) was used to explore the prepared samples' optical absorption and band gap. The measurements of UV-visible absorption spectra have been taken using the powder form of the samples. PL spectroscopy was used to analyze defect-related states in the prepared samples. Photoluminescence spectra have been recorded at room temperature using the fluorescence spectrometer (Model: Perkin Elmer FL 8500). Results and discussion XRD analysis Fig. 1. depicts the powder XRD patterns of the Gd-doped ZnO (Gd = 0%, 2%, and 5%) samples. All the diffraction peaks detected in the ZnO sample match with the standard JCPDS card number (36-1451). This confirms a hexagonal wurtzite crystal structure of the samples. The diffraction peaks were observed at 31.88°, 34.50°, 36.25°, 47.72°, 56.69°, 63.03°, 66.59°, 68.17°, and 69.35°, which are related to the planes (100), (002), (101), (102), (110), (103), (200), (112), and (201), respectively (Ganesh et al. 2018; Bharathi et al. 2020). Further, some additional small peaks have been observed at 28.61°, 33.21°, and 39.14° with increasing Gd doping. These secondary peaks represent- ing a crystallite phase have been identified as Gd2O3, which is well consistent with earlier reports (Das et al. 2012). As shown in Fig. 2, the highest intense peak related to the (101) plane shifted slightly higher angles with the increasing concentration of Gd doping. The shift is because of the substitution of bigger-sized Gd3+ (0.94 Å) ions than Zn2+ (0.74 Å) ions in the hexagonal wurtzite structure. The peak shift may indicate that Gd3+ ions have occupied the crystallo- graphic positions of Zn2+ ions in the ZnO host lattice, or itmay be because of the structural strain caused by the forma- tion of internal compressive micro stress (Dakhel and El-Hilo 2010; Kumar et al. 2014; Sahu et al. 2017). Rietveld refinements have been performed using the Full Prof Programme (shown in Fig. 3). The Pseudo-Voigt function has been used for Rietveld refinement of all the samples with the space group P63mc. The estimated lattice parameters have been listed in Table I. The lattice parameters are found to decrease with Gd doping, similar to those reported in earlier studies (Kaur et al. 2016; Obeid et al. 2019). The factors like the induced deficiencies (vacancies, interstitial) and the ionic radius of Zn and Gd ions can be responsible for the observed change (Kaur et al. 2016; Kumar and Thangavel 2017). SEM analysis Scanning electron micrographs have been used to analyze the morphology of the Gd-doped ZnO powder samples. The SEM images reveal a rod-like morphology in pure ZnO (Gora et al. 2022) and the Gd-doped ZnO polycrystalline samples with some proof of agglomeration and phase segre- gation, as depicted in Fig. 4 (a, b and c). Profound observa- tion of the particles exhibits that the crystallite size is above 100 nm. The particles were intensive and incompatibly distributed all over the mass. A distinct boundary between neighbouring crystallites can be noticed, despite the proxim- ity of these smaller crystallites. XPS analysis The XPS technique is an excellent tool for determining the surface chemistry and electron configuration of the various elements present in a multicomponent material. The carbon C1s peak (284.6 eV) has been used as a refer- ence to calibrate all the binding energies of the spectra. The survey spectrum of the Gd-doped ZnO samples is shown in Fig. 5. The survey spectra revealed the existence of O, Zn, and Gd elements without any impurity in the samples. For ZnO and 2% Gd-doped ZnO powder samples, the binding energies of the Zn2p3/2 and Zn2p1/2 peaks are found to be 1021.25 eV, 1044.25 eV, 1021.43 eV, and 1044.43 eV, respec- tively. However, for the 5% Gd-doped ZnO sample, these peaks are at 1021.83 and 1044.83 eV energy positions. The small shift could be assigned to the creation of Zn interstitials in ZnO upon Gd doping. The binding energy gap between the zinc doublet peaks has been found at about 23 eV. This indicates that Zn in the ZnO crystal structure is in the Zn2+ oxidation state (Khataee et al. 2015; Gawai et al. 2019) as the spin-orbital splitting of Zn2p is 23 eV. This difference does not change with the Gd doping pointing out that Gd doping has no discernible effect on the chemical position of ZnO. The O1s asymmetric XPS spectraare shown in Fig.7 (a) which is asymmetric in shape. The O1s XPS spectra of all these samples i.e. the ZnO, the Zn0.98Gd0.02O, and the Zn0.95Gd0.05O have been deconvoluted mainly into two Gauss- ian peaks, as shown in Fig. 7 (b, c, and d). The lower binding peaks for pure and Gd-doped ZnO (Gd = 2% and 5%) polycrystalline samples have been detected at 529.93 eV, 529.93 eV and 529.78 eV, respectively, which attributed to the lattice oxygen in the hexagonal structure of the ZnO. The higher binding peak for the pure and the Gd-doped ZnO samples have been found at 531.51 eV, 531.66 eV, and 531.49 eV, respectively, which is due to the presence of oxygen vacancies in the ZnO structure (Bharathi et al. 2020; Sukumaran et al. 2021). An additional signal centered at 528.29 eV has been detected in the 5% Gd-doped ZnO powder sample, which could be ascribed to the coordination of oxygen in Gd-O-Zn along grain boundaries because of the excessive Gd dopants and also attributed to the presence of Gd2O3 in the sample (Yi et al. 2017). The lattice oxygen peak has slightly shifted to the lower binding energy with increas- ing Gd concentration, which has been due to the increased oxygen vacancies with increasing Gd doping. The estimated area ratios of the oxygen vacancies peak and the lattice oxygen peak for the samples ZnO, Zn0.98Gd0.02O, and Zn0.95Gd0.05O comes out to be 0.53, 1.30, and 2.49, respectively. These results show that the oxygen vacancies increase with increas- ing Gd concentration. The Fig. 8 (a, b) depicts the high-resolution Gd4d XPS spectra of the Gd-doped samples.In the Gd4d state, the spin-orbit splatted peaks are at 144.6 eV for Gd4d3/2 and 139.6 eV for Gd4d5/2 for the 2% Gd-doped sample, whereas for the 5% Gd-doped ZnO sample, the spin-orbit splits at 145.5 eV for Gd4d3/2 and 139.7 eV for Gd4d5/2 as shown in Fig. 8 (a, b). This indicates that Gd is present in the Gd3+ state in the ZnO hexagonal structure. The shift in peak values of Gd4d3/2 and Gd4d5/2 from 144.6 eV and 139.6 eV, respective- ly; in the case of 2% Gd-doped sample to 145.5 eV and 139.7 eV, respectively, in the case of 5% Gd-doped sample. This shift in Gd4d peaks is ascribed to the electron transfer from plasmonics Gd to ZnO because of the strong electronic interaction (covalent bond) between Gd and the oxide (Ahmad et al. 2011; Wang et al. 2012; Bharathi et al. 2020). UV visible spectroscopy analysis The UV–Visible spectroscopy is a powerful tool for estimat- ing band gap of materials. UV–Vis absorbance spectra and tauc plots for the Gd-doped ZnO samples (Gd = 0% (Gora et al. 2022), 2%, and 5%) samples are shown in Figs.9 (a, b, c, and d). The spectra show a red shift with increasing Gd amount in the ZnO.The UV–Vis absorption intensity of the synthesized polycrystalline samples is found to reduce with the increasing Gd concentration (Mazhdi and Tafreshi 2018). Tauc's plot has been used to calculate the direct band gap of the samples (Jain et al. 2006). The direct band gap has been estimated using the following equation: Here, α is the absorption coefficient,υ is frequency, h is the Planck constant, A is a constant, and Eg is the energy band gap of the substance. Extrapolating the linear component of the curve plotted among (αhυ) 2 and hυ depicted in Fig. 9 (b, c, and d) has been used to obtain the band gap (Farhad et al. 2018; Ghos et al. 2021). The band gap values calculated for the Gd-doped ZnO samples, i.e.are 3.31 eV (Gora et al. 2022), 3.27 eV, and 3.23eV, for the samples Gd = 0%, 2% and 5%, respectively. The small redshift observed in the band gap of Gd-doped ZnO samples is because of the changes in electronic structure as well as enhanced oxygen vacancies with the increasing Gd doping (Yi et al. 2017; Flemban et al. 2016), which is respon- sible for the band gap reduction. Photoluminescence spectroscopy analysis The structural flaws like ionic and atomic vacancies, replace- ments and interstitials have been explored using the PL spectra of the synthesized polycrystalline samples. Fig. 10 (a, b and c) shows the deconvoluted, Gaussian-fitted PL spectra of the synthesized Gd-doped ZnO polycrystalline powder samples. The PL spectra of the samples were recorded at room temperature in order to determine the types of vacancies, defect band emission etc. (Lin et al. 2001; Yi et al. 2017). The photoluminescence spectra have been deconvoluted and the different peaks responsible for the emission have been Gaussian fitted. For these samples the band edge emission peaksare detected at 381 nm, 384 nm, and 383 nm, for the Gd = 0%, 2% and 5% samples, respectively. The UV emission is responsible for the excitonic interaction related to the band edge emission. The intense violet emission exhibited in the Gd-doped ZnO at about 415 nm could be because ofthe oxygen vacancies. The exciton interaction between the holes in the valence band and electrons located in the interstitial zinc could be responsible for the violet emission peak at about 447 nm. Intrinsic deficiencies like interstitial zinc and oxygen can be attributed to the peak at 477 nm (Singh et al. 2009; Kaur et al. 2016). The transformation between singly ionized oxygen deficiency and the photo-created holes (Ken- nedy et al. 2014) or the surface imperfection and electrons near the conduction band, might be responsible for the green emission peak seen for the Gd-doped ZnOat around 525 nm. The green emissions are commonly attributed to theoxygen vacancies (Studenikin et al. 1998). For Gd-doped ZnO polycrystalline powder samples, the intensity ratio of the green and ultra-violet emission peaks is found to be 0.090 for ZnO, 0.204 for the 2% Gd-doped ZnO, and 0.418 for the 5% Gd-doped ZnO. The defect-related emissions enhanced with increasing Gd doping in the ZnO indicate that a large number of deficiencies, such as oxygen vacancies, are most usually related to crystal deformation (Yi et al. 2017). The results reveal that the Gd doping enhances the Zni and Vo flaws. It could be attributed to structural deformation created by Gd atoms with different ionic sizes than Zn in the ZnO (Ban- dopadhyay and Mitra 2015; Sukumaran et al. 2021). Increas- ing Gd doping in ZnO indicates an increase in defect states, which matches well with the XPS results. We compared our PL results with Farhad et al. (2019), who prepared ZnO DC (drop casting) and ZnO nanorods. Their PL results detected the PL peak at 380 nm and a barely observable green-yellow emission peak; in our case, we find it at 381 nm for ZnO, 384 nm for 2% Gd-doped ZnO and 383 nm for the 5% Gd-doped ZnO polycrystalline sample. This peak represented ZnO's near band edge (NBE) transition because of free excitons recombinations and this PL property indicates high crystalline quality. The luminescent character- istics in the visible region are responsible for the different defects, like zinc interstitials (Zni), oxygen vacancies (Vo), etc., present in the ZnO crystal matrix. As a result, they reported that both ZnO (DC) and ZnO nanorods were found to be defect-free good crystalline and optical properties mate- rials. In our case, all the prepared Gd-doped ZnO powder samples have been found to be with single ionized oxygen vacancies, which are confirmed by the green emission peak at 525 nm in the PL spectra. Conclusion The Gd-doped ZnO powder samples were synthesized by the solid-state reaction method. The XRD patterns affirm that Gd has been successfully incorporated into the ZnO lattice and confirm the hexagonal wurtzite structure. SEM images have been used to reveal the morphologies of the synthesized samples, which appear as rod-like structures. The XPS results showed that the oxygen vacancy-related states in Gd-doped samples increased with increasing Gd doping. PL findings confirmed that the defect-related states are present in the Gd-doped ZnO polycrystalline samples. The green emission and ultra-violet emission peaks' intensity ratio is 0.418 for the 5% Gd-doped ZnO sample, which is the maxi- mum compared to the pure ZnO and 2% Gd-doped ZnO polycrystalline powder sample. These findings confirmed that the oxygen vacancies increase as the Gd concentration increases and the PL results agree well with the XPS results. The UV absorption spectra findings reveal that the band gap in the 5% Gd-doped ZnO sample is found to be 3.23 eV, which is the minimum compared to both the pure ZnO and the 2% Gd-doped ZnO samples, confirming that Eg is reduced with increasing Gd concentration. Acknowledgment The authors are thankful to USIC, University of Rajasthan, Jaipur, Rajasthan (India), for providing SEM images of the prepared samples. We also thank department of physics, BanasthaliVidhyapith, Banasthali, Jaipur, Rajasthan (India) for rendering XRD data. Funding sources This research is not financed by any agency. Authors' contribution Sample preparation, data analysis, manuscript composition and writing (Mahendra Kumar Gora); sample synthesis and data characterization (Arvind Kumar); data recording (Ban- wari Lal Choudhary); data analysis and interpretation (Sanjay Kumar); reviewing and editing (Satya NarainDolia); supervision, writing, reviewing and editing (Rishi Kumar Singhal). Conflicts of interest or competing interests All authors declare that we have no conflict of interest or competing interests. Data availability On request, data will be available. Ethical approval Not applicable. References Ahmad M, Yingying S, Nisar A, Sun H, Shen W, Wei M and Zhu J (2011), Synthesis of hierarchical flower-like ZnO nanostructures and their functionalization by Au nanoparti- cles for improved photocatalytic and high performance Li-ion battery anodes, J. Mater. 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(2019) prepared undoped and Gd-doped ZnO nanocrystalline samples using the thermal decomposition method. They observed that the optical absorption spectra of pristine ZnO increased with a 6% Gd doping concentration and the magnetic properties changed with changing dopant amounts. Their PL spectroscopy results showed the existence of defects, which increased with increasing Gd doping concentrations. They suggested that these DMS nanoparticles can be used for magneto-optoelectronic practical device applications. Undoubtedly, the RE-doped ZnO nanostructures have been intensively studied recently because this is a rapidly growing field due to their multi-functionality and their use in possible new generation applications. With an aim to understand the effect of Gd doping in ZnO in terms of its electronic and optical properties we have synthesize Gd-doped ZnO powder series of different Gd (0%, 2%, and 5%) values. Various characterization techniques have been utilized to explore the electronic, structural and optical features of the synthesized powder series. Gd doping into ZnO produced changes in the band gap and enhanced oxygen vacancies related states in the compound. Materials and methods The Gd-doped ZnO powder samples with varying Gd (0%, 2%, and 5%) concentrations have been synthesized using the conventional solid-state reaction method. A suitable amount of high-purity (99.999% Sigma-Aldrich) zinc oxide (ZnO) and gadolinium oxide (Gd2O3) powder have been used for their preparation. For achieving perfect homogeneity, the ingredients were properly pounded for ~8 hours in an agate mortar and pestle. The prepared material has been sintered for ~8h at~550°C and cooled at room temperature. Again, the mixture was ground for ~2 hours and sintered for ~6 hours at ~550°C. The mixture was milled for ~4 hours before being turned into pellets. Finally, these pellets were sintered for around ~8 hours at about ~600°C. Finally, we ground the pellets to make the powder. The powder form of the prepared samples has been used for further characterization. Characterization techniques The crystallographic structures of the samples have been explored using an X-ray diffractometer (Make: Panalytical X'Pert PRO) using the photon energy of Cu Kα (λ= 1.5406Å). SEM images have been used for the morphology study of the synthesized samples. The SEM equipment model Fig. 5. The XPS survey spectra of the pure ZnO (Gora et al. 2022), the Zn0.98Gd0.02O and the Zn0.95Gd0. 05O powder samples Fig. 6. The Zn2p core level XPS spectra of the Gd-doped ZnO polycrystalline powder samples The Zn2p core level spectra of the Gd-doped ZnO samples are depicted in Fig. 6. αhυ = A (hυ - Eg) 1/2 Gora, Kumar, Choudhary, Dolia, Kumar and Singhal 59 RE elements, such as Gd, may introduce additional capabili- ties to the ZnO system because they may be capable of constructing combined practical devices on a single chip by combining magnetic and optical properties (Ohno et al. 1996; Tawil et al. 2011). Rare-earth (RE) metal doping in the dilute magnetic semiconductor (DMS) systems has recently received immense attention due to its potential usage in magneto electronic and photonic devices (Monteiro et al. 2006). The influence of Gd doping on the optical and electrical proper- ties of ZnO is crucial for developing optoelectronic devices and understanding the genesis of ferromagnetism. Ma and Wang (2012) synthesized the Gd-doped ZnO nanocrystals using the thermal evaporation deposition method. According to their findings, Gd doping has an appreciable impact on the optical characteristics of the ZnO. The strong UV and blue emissions are detected at low Gd concentrations because Gd impurities introduce a mid-gap state into ZnO. In compari- son, the UV and blue emissions reduce for high doping concentrations as a significant broad defect emission appears because of the vast numbers of defects, impurities, and excess Gd2O3 produced. Gd-doped ZnO nanocrystals can be used in optoelectronic devices. The optical and electrical tuning of the carrier density and optical band gap energy is essential for developing luminescent materials and equip- ment based on the ZnO DMS systems. The optical band gap and carrier concentration are essential parameters to yield information about the emission wavelength. Several develop- ment characteristics, like the synthesis methods, impurity concentration and substrate variety have been reported to influence these parameters (Wakano et al. 2001; Tan et al. 2011; Murtaza et al. 2011). The synthesis of DMS materials with unique optical, photo- catalytic and magnetic characteristics seems to be the most promising candidate for the subsequent generation of electronic, optoelectronic and spintronic appliances (Kumar and Sahare 2014). The low-dimension materials with imper- fection-free lattice structures have excellent electrical and magnetic characteristics; purposefully made or accidental structural defects play a significant role in altering their features (Li et al. 2016; Obeid et al. 2018). Thus, the presence of different kinds of cation or anion vacancies and intersti- tials in ZnO nanocrystals may change their magnetic proper- ties, photoluminescence, and photocatalytic properties (Coey et al. 2005). Although certain experimental and theoretical findings based on DFT indicate that Gd-doped ZnO exhibits the room temperature ferromagnetism (RTFM) (Potzger et al. 2006; Aravindh et al. 2014) property, several studies have demonstrated that the RTFM is not present (Sambasivam et al. 2015). In addition to their magnetic qualities, the 4f ions ETH 30 kV EVO-18 Carl Zeiss, with a tilt of 0° to 60° and a rotation of 360°, has been used for taking SEM images.The defect-related states and chemical analysis of the samples have been determined using X-ray photoelectron spectrosco- py. A hemispherical analyzer with a 128-channel detector and a monochromated, fully integrated K-alpha small-spot X-ray photoelectron spectrometer system of 180° double focusing is used in XPS (Thermo Scientific made). The UV-visible absorption spectroscopy (Model: Shimadzu UV-3600 UV-VIS-NIR Spectrophotometer) was used to explore the prepared samples' optical absorption and band gap. The measurements of UV-visible absorption spectra have been taken using the powder form of the samples. PL spectroscopy was used to analyze defect-related states in the prepared samples. Photoluminescence spectra have been recorded at room temperature using the fluorescence spectrometer (Model: Perkin Elmer FL 8500). Results and discussion XRD analysis Fig. 1. depicts the powder XRD patterns of the Gd-doped ZnO (Gd = 0%, 2%, and 5%) samples. All the diffraction peaks detected in the ZnO sample match with the standard JCPDS card number (36-1451). This confirms a hexagonal wurtzite crystal structure of the samples. The diffraction peaks were observed at 31.88°, 34.50°, 36.25°, 47.72°, 56.69°, 63.03°, 66.59°, 68.17°, and 69.35°, which are related to the planes (100), (002), (101), (102), (110), (103), (200), (112), and (201), respectively (Ganesh et al. 2018; Bharathi et al. 2020). Further, some additional small peaks have been observed at 28.61°, 33.21°, and 39.14° with increasing Gd doping. These secondary peaks represent- ing a crystallite phase have been identified as Gd2O3, which is well consistent with earlier reports (Das et al. 2012). As shown in Fig. 2, the highest intense peak related to the (101) plane shifted slightly higher angles with the increasing concentration of Gd doping. The shift is because of the substitution of bigger-sized Gd3+ (0.94 Å) ions than Zn2+ (0.74 Å) ions in the hexagonal wurtzite structure. The peak shift may indicate that Gd3+ ions have occupied the crystallo- graphic positions of Zn2+ ions in the ZnO host lattice, or itmay be because of the structural strain caused by the forma- tion of internal compressive micro stress (Dakhel and El-Hilo 2010; Kumar et al. 2014; Sahu et al. 2017). Rietveld refinements have been performed using the Full Prof Programme (shown in Fig. 3). The Pseudo-Voigt function has been used for Rietveld refinement of all the samples with the space group P63mc. The estimated lattice parameters have been listed in Table I. The lattice parameters are found to decrease with Gd doping, similar to those reported in earlier studies (Kaur et al. 2016; Obeid et al. 2019). The factors like the induced deficiencies (vacancies, interstitial) and the ionic radius of Zn and Gd ions can be responsible for the observed change (Kaur et al. 2016; Kumar and Thangavel 2017). SEM analysis Scanning electron micrographs have been used to analyze the morphology of the Gd-doped ZnO powder samples. The SEM images reveal a rod-like morphology in pure ZnO (Gora et al. 2022) and the Gd-doped ZnO polycrystalline samples with some proof of agglomeration and phase segre- gation, as depicted in Fig. 4 (a, b and c). Profound observa- tion of the particles exhibits that the crystallite size is above 100 nm. The particles were intensive and incompatibly distributed all over the mass. A distinct boundary between neighbouring crystallites can be noticed, despite the proxim- ity of these smaller crystallites. XPS analysis The XPS technique is an excellent tool for determining the surface chemistry and electron configuration of the various elements present in a multicomponent material. The carbon C1s peak (284.6 eV) has been used as a refer- ence to calibrate all the binding energies of the spectra. The survey spectrum of the Gd-doped ZnO samples is shown in Fig. 5. The survey spectra revealed the existence of O, Zn, and Gd elements without any impurity in the samples. For ZnO and 2% Gd-doped ZnO powder samples, the binding energies of the Zn2p3/2 and Zn2p1/2 peaks are found to be 1021.25 eV, 1044.25 eV, 1021.43 eV, and 1044.43 eV, respec- tively. However, for the 5% Gd-doped ZnO sample, these peaks are at 1021.83 and 1044.83 eV energy positions. The small shift could be assigned to the creation of Zn interstitials in ZnO upon Gd doping. The binding energy gap between the zinc doublet peaks has been found at about 23 eV. This indicates that Zn in the ZnO crystal structure is in the Zn2+ oxidation state (Khataee et al. 2015; Gawai et al. 2019) as the spin-orbital splitting of Zn2p is 23 eV. This difference does not change with the Gd doping pointing out that Gd doping has no discernible effect on the chemical position of ZnO. The O1s asymmetric XPS spectraare shown in Fig.7 (a) which is asymmetric in shape. The O1s XPS spectra of all these samples i.e. the ZnO, the Zn0.98Gd0.02O, and the Zn0.95Gd0.05O have been deconvoluted mainly into two Gauss- ian peaks, as shown in Fig. 7 (b, c, and d). The lower binding peaks for pure and Gd-doped ZnO (Gd = 2% and 5%) polycrystalline samples have been detected at 529.93 eV, 529.93 eV and 529.78 eV, respectively, which attributed to the lattice oxygen in the hexagonal structure of the ZnO. The higher binding peak for the pure and the Gd-doped ZnO samples have been found at 531.51 eV, 531.66 eV, and 531.49 eV, respectively, which is due to the presence of oxygen vacancies in the ZnO structure (Bharathi et al. 2020; Sukumaran et al. 2021). An additional signal centered at 528.29 eV has been detected in the 5% Gd-doped ZnO powder sample, which could be ascribed to the coordination of oxygen in Gd-O-Zn along grain boundaries because of the excessive Gd dopants and also attributed to the presence of Gd2O3 in the sample (Yi et al. 2017). The lattice oxygen peak has slightly shifted to the lower binding energy with increas- ing Gd concentration, which has been due to the increased oxygen vacancies with increasing Gd doping. The estimated area ratios of the oxygen vacancies peak and the lattice oxygen peak for the samples ZnO, Zn0.98Gd0.02O, and Zn0.95Gd0.05O comes out to be 0.53, 1.30, and 2.49, respectively. These results show that the oxygen vacancies increase with increas- ing Gd concentration. The Fig. 8 (a, b) depicts the high-resolution Gd4d XPS spectra of the Gd-doped samples.In the Gd4d state, the spin-orbit splatted peaks are at 144.6 eV for Gd4d3/2 and 139.6 eV for Gd4d5/2 for the 2% Gd-doped sample, whereas for the 5% Gd-doped ZnO sample, the spin-orbit splits at 145.5 eV for Gd4d3/2 and 139.7 eV for Gd4d5/2 as shown in Fig. 8 (a, b). This indicates that Gd is present in the Gd3+ state in the ZnO hexagonal structure. The shift in peak values of Gd4d3/2 and Gd4d5/2 from 144.6 eV and 139.6 eV, respective- ly; in the case of 2% Gd-doped sample to 145.5 eV and 139.7 eV, respectively, in the case of 5% Gd-doped sample. This shift in Gd4d peaks is ascribed to the electron transfer from plasmonics Gd to ZnO because of the strong electronic interaction (covalent bond) between Gd and the oxide (Ahmad et al. 2011; Wang et al. 2012; Bharathi et al. 2020). UV visible spectroscopy analysis The UV–Visible spectroscopy is a powerful tool for estimat- ing band gap of materials. UV–Vis absorbance spectra and tauc plots for the Gd-doped ZnO samples (Gd = 0% (Gora et al. 2022), 2%, and 5%) samples are shown in Figs.9 (a, b, c, and d). The spectra show a red shift with increasing Gd amount in the ZnO.The UV–Vis absorption intensity of the synthesized polycrystalline samples is found to reduce with the increasing Gd concentration (Mazhdi and Tafreshi 2018). Tauc's plot has been used to calculate the direct band gap of the samples (Jain et al. 2006). The direct band gap has been estimated using the following equation: Here, α is the absorption coefficient,υ is frequency, h is the Planck constant, A is a constant, and Eg is the energy band gap of the substance. Extrapolating the linear component of the curve plotted among (αhυ) 2 and hυ depicted in Fig. 9 (b, c, and d) has been used to obtain the band gap (Farhad et al. 2018; Ghos et al. 2021). The band gap values calculated for the Gd-doped ZnO samples, i.e.are 3.31 eV (Gora et al. 2022), 3.27 eV, and 3.23eV, for the samples Gd = 0%, 2% and 5%, respectively. The small redshift observed in the band gap of Gd-doped ZnO samples is because of the changes in electronic structure as well as enhanced oxygen vacancies with the increasing Gd doping (Yi et al. 2017; Flemban et al. 2016), which is respon- sible for the band gap reduction. Photoluminescence spectroscopy analysis The structural flaws like ionic and atomic vacancies, replace- ments and interstitials have been explored using the PL spectra of the synthesized polycrystalline samples. Fig. 10 (a, b and c) shows the deconvoluted, Gaussian-fitted PL spectra of the synthesized Gd-doped ZnO polycrystalline powder samples. The PL spectra of the samples were recorded at room temperature in order to determine the types of vacancies, defect band emission etc. (Lin et al. 2001; Yi et al. 2017). The photoluminescence spectra have been deconvoluted and the different peaks responsible for the emission have been Gaussian fitted. For these samples the band edge emission peaksare detected at 381 nm, 384 nm, and 383 nm, for the Gd = 0%, 2% and 5% samples, respectively. The UV emission is responsible for the excitonic interaction related to the band edge emission. The intense violet emission exhibited in the Gd-doped ZnO at about 415 nm could be because ofthe oxygen vacancies. The exciton interaction between the holes in the valence band and electrons located in the interstitial zinc could be responsible for the violet emission peak at about 447 nm. Intrinsic deficiencies like interstitial zinc and oxygen can be attributed to the peak at 477 nm (Singh et al. 2009; Kaur et al. 2016). The transformation between singly ionized oxygen deficiency and the photo-created holes (Ken- nedy et al. 2014) or the surface imperfection and electrons near the conduction band, might be responsible for the green emission peak seen for the Gd-doped ZnOat around 525 nm. The green emissions are commonly attributed to theoxygen vacancies (Studenikin et al. 1998). For Gd-doped ZnO polycrystalline powder samples, the intensity ratio of the green and ultra-violet emission peaks is found to be 0.090 for ZnO, 0.204 for the 2% Gd-doped ZnO, and 0.418 for the 5% Gd-doped ZnO. The defect-related emissions enhanced with increasing Gd doping in the ZnO indicate that a large number of deficiencies, such as oxygen vacancies, are most usually related to crystal deformation (Yi et al. 2017). The results reveal that the Gd doping enhances the Zni and Vo flaws. It could be attributed to structural deformation created by Gd atoms with different ionic sizes than Zn in the ZnO (Ban- dopadhyay and Mitra 2015; Sukumaran et al. 2021). Increas- ing Gd doping in ZnO indicates an increase in defect states, which matches well with the XPS results. We compared our PL results with Farhad et al. (2019), who prepared ZnO DC (drop casting) and ZnO nanorods. Their PL results detected the PL peak at 380 nm and a barely observable green-yellow emission peak; in our case, we find it at 381 nm for ZnO, 384 nm for 2% Gd-doped ZnO and 383 nm for the 5% Gd-doped ZnO polycrystalline sample. This peak represented ZnO's near band edge (NBE) transition because of free excitons recombinations and this PL property indicates high crystalline quality. The luminescent character- istics in the visible region are responsible for the different defects, like zinc interstitials (Zni), oxygen vacancies (Vo), etc., present in the ZnO crystal matrix. As a result, they reported that both ZnO (DC) and ZnO nanorods were found to be defect-free good crystalline and optical properties mate- rials. In our case, all the prepared Gd-doped ZnO powder samples have been found to be with single ionized oxygen vacancies, which are confirmed by the green emission peak at 525 nm in the PL spectra. Conclusion The Gd-doped ZnO powder samples were synthesized by the solid-state reaction method. The XRD patterns affirm that Gd has been successfully incorporated into the ZnO lattice and confirm the hexagonal wurtzite structure. SEM images have been used to reveal the morphologies of the synthesized samples, which appear as rod-like structures. The XPS results showed that the oxygen vacancy-related states in Gd-doped samples increased with increasing Gd doping. PL findings confirmed that the defect-related states are present in the Gd-doped ZnO polycrystalline samples. The green emission and ultra-violet emission peaks' intensity ratio is 0.418 for the 5% Gd-doped ZnO sample, which is the maxi- mum compared to the pure ZnO and 2% Gd-doped ZnO polycrystalline powder sample. These findings confirmed that the oxygen vacancies increase as the Gd concentration increases and the PL results agree well with the XPS results. The UV absorption spectra findings reveal that the band gap in the 5% Gd-doped ZnO sample is found to be 3.23 eV, which is the minimum compared to both the pure ZnO and the 2% Gd-doped ZnO samples, confirming that Eg is reduced with increasing Gd concentration. Acknowledgment The authors are thankful to USIC, University of Rajasthan, Jaipur, Rajasthan (India), for providing SEM images of the prepared samples. We also thank department of physics, BanasthaliVidhyapith, Banasthali, Jaipur, Rajasthan (India) for rendering XRD data. Funding sources This research is not financed by any agency. Authors' contribution Sample preparation, data analysis, manuscript composition and writing (Mahendra Kumar Gora); sample synthesis and data characterization (Arvind Kumar); data recording (Ban- wari Lal Choudhary); data analysis and interpretation (Sanjay Kumar); reviewing and editing (Satya NarainDolia); supervision, writing, reviewing and editing (Rishi Kumar Singhal). Conflicts of interest or competing interests All authors declare that we have no conflict of interest or competing interests. Data availability On request, data will be available. Ethical approval Not applicable. References Ahmad M, Yingying S, Nisar A, Sun H, Shen W, Wei M and Zhu J (2011), Synthesis of hierarchical flower-like ZnO nanostructures and their functionalization by Au nanoparti- cles for improved photocatalytic and high performance Li-ion battery anodes, J. Mater. 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(2019) prepared undoped and Gd-doped ZnO nanocrystalline samples using the thermal decomposition method. They observed that the optical absorption spectra of pristine ZnO increased with a 6% Gd doping concentration and the magnetic properties changed with changing dopant amounts. Their PL spectroscopy results showed the existence of defects, which increased with increasing Gd doping concentrations. They suggested that these DMS nanoparticles can be used for magneto-optoelectronic practical device applications. Undoubtedly, the RE-doped ZnO nanostructures have been intensively studied recently because this is a rapidly growing field due to their multi-functionality and their use in possible new generation applications. With an aim to understand the effect of Gd doping in ZnO in terms of its electronic and optical properties we have synthesize Gd-doped ZnO powder series of different Gd (0%, 2%, and 5%) values. Various characterization techniques have been utilized to explore the electronic, structural and optical features of the synthesized powder series. Gd doping into ZnO produced changes in the band gap and enhanced oxygen vacancies related states in the compound. Materials and methods The Gd-doped ZnO powder samples with varying Gd (0%, 2%, and 5%) concentrations have been synthesized using the conventional solid-state reaction method. A suitable amount of high-purity (99.999% Sigma-Aldrich) zinc oxide (ZnO) and gadolinium oxide (Gd2O3) powder have been used for their preparation. For achieving perfect homogeneity, the ingredients were properly pounded for ~8 hours in an agate mortar and pestle. The prepared material has been sintered for ~8h at~550°C and cooled at room temperature. Again, the mixture was ground for ~2 hours and sintered for ~6 hours at ~550°C. The mixture was milled for ~4 hours before being turned into pellets. Finally, these pellets were sintered for around ~8 hours at about ~600°C. Finally, we ground the pellets to make the powder. The powder form of the prepared samples has been used for further characterization. Characterization techniques The crystallographic structures of the samples have been explored using an X-ray diffractometer (Make: Panalytical X'Pert PRO) using the photon energy of Cu Kα (λ= 1.5406Å). SEM images have been used for the morphology study of the synthesized samples. The SEM equipment model Fig. 7. O1s XPS spectra: (a) asymmetric spectra for all Gd-doped ZnO bulk samples (Gd = 0%, 2% and 5%); (b) for the ZnO: fitted with two Gaussian peaks; (c) for the 2% Gd-doped ZnO polycrystalline sample: fitted with two Gaussian peaks; (d) for the 5% Gd-doped ZnO polycrystalline powder sample: fitted with three Gaussian peaks Electronic, structural and optical properties of Gd-doped ZnO powder60 58(1) 2023 RE elements, such as Gd, may introduce additional capabili- ties to the ZnO system because they may be capable of constructing combined practical devices on a single chip by combining magnetic and optical properties (Ohno et al. 1996; Tawil et al. 2011). Rare-earth (RE) metal doping in the dilute magnetic semiconductor (DMS) systems has recently received immense attention due to its potential usage in magneto electronic and photonic devices (Monteiro et al. 2006). The influence of Gd doping on the optical and electrical proper- ties of ZnO is crucial for developing optoelectronic devices and understanding the genesis of ferromagnetism. Ma and Wang (2012) synthesized the Gd-doped ZnO nanocrystals using the thermal evaporation deposition method. According to their findings, Gd doping has an appreciable impact on the optical characteristics of the ZnO. The strong UV and blue emissions are detected at low Gd concentrations because Gd impurities introduce a mid-gap state into ZnO. In compari- son, the UV and blue emissions reduce for high doping concentrations as a significant broad defect emission appears because of the vast numbers of defects, impurities, and excess Gd2O3 produced. Gd-doped ZnO nanocrystals can be used in optoelectronic devices. The optical and electrical tuning of the carrier density and optical band gap energy is essential for developing luminescent materials and equip- ment based on the ZnO DMS systems. The optical band gap and carrier concentration are essential parameters to yield information about the emission wavelength. Several develop- ment characteristics, like the synthesis methods, impurity concentration and substrate variety have been reported to influence these parameters (Wakano et al. 2001; Tan et al. 2011; Murtaza et al. 2011). The synthesis of DMS materials with unique optical, photo- catalytic and magnetic characteristics seems to be the most promising candidate for the subsequent generation of electronic, optoelectronic and spintronic appliances (Kumar and Sahare 2014). The low-dimension materials with imper- fection-free lattice structures have excellent electrical and magnetic characteristics; purposefully made or accidental structural defects play a significant role in altering their features (Li et al. 2016; Obeid et al. 2018). Thus, the presence of different kinds of cation or anion vacancies and intersti- tials in ZnO nanocrystals may change their magnetic proper- ties, photoluminescence, and photocatalytic properties (Coey et al. 2005). Although certain experimental and theoretical findings based on DFT indicate that Gd-doped ZnO exhibits the room temperature ferromagnetism (RTFM) (Potzger et al. 2006; Aravindh et al. 2014) property, several studies have demonstrated that the RTFM is not present (Sambasivam et al. 2015). In addition to their magnetic qualities, the 4f ions ETH 30 kV EVO-18 Carl Zeiss, with a tilt of 0° to 60° and a rotation of 360°, has been used for taking SEM images.The defect-related states and chemical analysis of the samples have been determined using X-ray photoelectron spectrosco- py. A hemispherical analyzer with a 128-channel detector and a monochromated, fully integrated K-alpha small-spot X-ray photoelectron spectrometer system of 180° double focusing is used in XPS (Thermo Scientific made). The UV-visible absorption spectroscopy (Model: Shimadzu UV-3600 UV-VIS-NIR Spectrophotometer) was used to explore the prepared samples' optical absorption and band gap. The measurements of UV-visible absorption spectra have been taken using the powder form of the samples. PL spectroscopy was used to analyze defect-related states in the prepared samples. Photoluminescence spectra have been recorded at room temperature using the fluorescence spectrometer (Model: Perkin Elmer FL 8500). Results and discussion XRD analysis Fig. 1. depicts the powder XRD patterns of the Gd-doped ZnO (Gd = 0%, 2%, and 5%) samples. All the diffraction peaks detected in the ZnO sample match with the standard JCPDS card number (36-1451). This confirms a hexagonal wurtzite crystal structure of the samples. The diffraction peaks were observed at 31.88°, 34.50°, 36.25°, 47.72°, 56.69°, 63.03°, 66.59°, 68.17°, and 69.35°, which are related to the planes (100), (002), (101), (102), (110), (103), (200), (112), and (201), respectively (Ganesh et al. 2018; Bharathi et al. 2020). Further, some additional small peaks have been observed at 28.61°, 33.21°, and 39.14° with increasing Gd doping. These secondary peaks represent- ing a crystallite phase have been identified as Gd2O3, which is well consistent with earlier reports (Das et al. 2012). As shown in Fig. 2, the highest intense peak related to the (101) plane shifted slightly higher angles with the increasing concentration of Gd doping. The shift is because of the substitution of bigger-sized Gd3+ (0.94 Å) ions than Zn2+ (0.74 Å) ions in the hexagonal wurtzite structure. The peak shift may indicate that Gd3+ ions have occupied the crystallo- graphic positions of Zn2+ ions in the ZnO host lattice, or itmay be because of the structural strain caused by the forma- tion of internal compressive micro stress (Dakhel and El-Hilo 2010; Kumar et al. 2014; Sahu et al. 2017). Rietveld refinements have been performed using the Full Prof Programme (shown in Fig. 3). The Pseudo-Voigt function has been used for Rietveld refinement of all the samples with the space group P63mc. The estimated lattice parameters have been listed in Table I. The lattice parameters are found to decrease with Gd doping, similar to those reported in earlier studies (Kaur et al. 2016; Obeid et al. 2019). The factors like the induced deficiencies (vacancies, interstitial) and the ionic radius of Zn and Gd ions can be responsible for the observed change (Kaur et al. 2016; Kumar and Thangavel 2017). SEM analysis Scanning electron micrographs have been used to analyze the morphology of the Gd-doped ZnO powder samples. The SEM images reveal a rod-like morphology in pure ZnO (Gora et al. 2022) and the Gd-doped ZnO polycrystalline samples with some proof of agglomeration and phase segre- gation, as depicted in Fig. 4 (a, b and c). Profound observa- tion of the particles exhibits that the crystallite size is above 100 nm. The particles were intensive and incompatibly distributed all over the mass. A distinct boundary between neighbouring crystallites can be noticed, despite the proxim- ity of these smaller crystallites. XPS analysis The XPS technique is an excellent tool for determining the surface chemistry and electron configuration of the various elements present in a multicomponent material. The carbon C1s peak (284.6 eV) has been used as a refer- ence to calibrate all the binding energies of the spectra. The survey spectrum of the Gd-doped ZnO samples is shown in Fig. 5. The survey spectra revealed the existence of O, Zn, and Gd elements without any impurity in the samples. For ZnO and 2% Gd-doped ZnO powder samples, the binding energies of the Zn2p3/2 and Zn2p1/2 peaks are found to be 1021.25 eV, 1044.25 eV, 1021.43 eV, and 1044.43 eV, respec- tively. However, for the 5% Gd-doped ZnO sample, these peaks are at 1021.83 and 1044.83 eV energy positions. The small shift could be assigned to the creation of Zn interstitials in ZnO upon Gd doping. The binding energy gap between the zinc doublet peaks has been found at about 23 eV. This indicates that Zn in the ZnO crystal structure is in the Zn2+ oxidation state (Khataee et al. 2015; Gawai et al. 2019) as the spin-orbital splitting of Zn2p is 23 eV. This difference does not change with the Gd doping pointing out that Gd doping has no discernible effect on the chemical position of ZnO. The O1s asymmetric XPS spectraare shown in Fig.7 (a) which is asymmetric in shape. The O1s XPS spectra of all these samples i.e. the ZnO, the Zn0.98Gd0.02O, and the Zn0.95Gd0.05O have been deconvoluted mainly into two Gauss- ian peaks, as shown in Fig. 7 (b, c, and d). The lower binding peaks for pure and Gd-doped ZnO (Gd = 2% and 5%) polycrystalline samples have been detected at 529.93 eV, 529.93 eV and 529.78 eV, respectively, which attributed to the lattice oxygen in the hexagonal structure of the ZnO. The higher binding peak for the pure and the Gd-doped ZnO samples have been found at 531.51 eV, 531.66 eV, and 531.49 eV, respectively, which is due to the presence of oxygen vacancies in the ZnO structure (Bharathi et al. 2020; Sukumaran et al. 2021). An additional signal centered at 528.29 eV has been detected in the 5% Gd-doped ZnO powder sample, which could be ascribed to the coordination of oxygen in Gd-O-Zn along grain boundaries because of the excessive Gd dopants and also attributed to the presence of Gd2O3 in the sample (Yi et al. 2017). The lattice oxygen peak has slightly shifted to the lower binding energy with increas- ing Gd concentration, which has been due to the increased oxygen vacancies with increasing Gd doping. The estimated area ratios of the oxygen vacancies peak and the lattice oxygen peak for the samples ZnO, Zn0.98Gd0.02O, and Zn0.95Gd0.05O comes out to be 0.53, 1.30, and 2.49, respectively. These results show that the oxygen vacancies increase with increas- ing Gd concentration. The Fig. 8 (a, b) depicts the high-resolution Gd4d XPS spectra of the Gd-doped samples.In the Gd4d state, the spin-orbit splatted peaks are at 144.6 eV for Gd4d3/2 and 139.6 eV for Gd4d5/2 for the 2% Gd-doped sample, whereas for the 5% Gd-doped ZnO sample, the spin-orbit splits at 145.5 eV for Gd4d3/2 and 139.7 eV for Gd4d5/2 as shown in Fig. 8 (a, b). This indicates that Gd is present in the Gd3+ state in the ZnO hexagonal structure. The shift in peak values of Gd4d3/2 and Gd4d5/2 from 144.6 eV and 139.6 eV, respective- ly; in the case of 2% Gd-doped sample to 145.5 eV and 139.7 eV, respectively, in the case of 5% Gd-doped sample. This shift in Gd4d peaks is ascribed to the electron transfer from plasmonics Gd to ZnO because of the strong electronic interaction (covalent bond) between Gd and the oxide (Ahmad et al. 2011; Wang et al. 2012; Bharathi et al. 2020). UV visible spectroscopy analysis The UV–Visible spectroscopy is a powerful tool for estimat- ing band gap of materials. UV–Vis absorbance spectra and tauc plots for the Gd-doped ZnO samples (Gd = 0% (Gora et al. 2022), 2%, and 5%) samples are shown in Figs.9 (a, b, c, and d). The spectra show a red shift with increasing Gd amount in the ZnO.The UV–Vis absorption intensity of the synthesized polycrystalline samples is found to reduce with the increasing Gd concentration (Mazhdi and Tafreshi 2018). Tauc's plot has been used to calculate the direct band gap of the samples (Jain et al. 2006). The direct band gap has been estimated using the following equation: Here, α is the absorption coefficient,υ is frequency, h is the Planck constant, A is a constant, and Eg is the energy band gap of the substance. Extrapolating the linear component of the curve plotted among (αhυ) 2 and hυ depicted in Fig. 9 (b, c, and d) has been used to obtain the band gap (Farhad et al. 2018; Ghos et al. 2021). The band gap values calculated for the Gd-doped ZnO samples, i.e.are 3.31 eV (Gora et al. 2022), 3.27 eV, and 3.23eV, for the samples Gd = 0%, 2% and 5%, respectively. The small redshift observed in the band gap of Gd-doped ZnO samples is because of the changes in electronic structure as well as enhanced oxygen vacancies with the increasing Gd doping (Yi et al. 2017; Flemban et al. 2016), which is respon- sible for the band gap reduction. Photoluminescence spectroscopy analysis The structural flaws like ionic and atomic vacancies, replace- ments and interstitials have been explored using the PL spectra of the synthesized polycrystalline samples. Fig. 10 (a, b and c) shows the deconvoluted, Gaussian-fitted PL spectra of the synthesized Gd-doped ZnO polycrystalline powder samples. The PL spectra of the samples were recorded at room temperature in order to determine the types of vacancies, defect band emission etc. (Lin et al. 2001; Yi et al. 2017). The photoluminescence spectra have been deconvoluted and the different peaks responsible for the emission have been Gaussian fitted. For these samples the band edge emission peaksare detected at 381 nm, 384 nm, and 383 nm, for the Gd = 0%, 2% and 5% samples, respectively. The UV emission is responsible for the excitonic interaction related to the band edge emission. The intense violet emission exhibited in the Gd-doped ZnO at about 415 nm could be because ofthe oxygen vacancies. The exciton interaction between the holes in the valence band and electrons located in the interstitial zinc could be responsible for the violet emission peak at about 447 nm. Intrinsic deficiencies like interstitial zinc and oxygen can be attributed to the peak at 477 nm (Singh et al. 2009; Kaur et al. 2016). The transformation between singly ionized oxygen deficiency and the photo-created holes (Ken- nedy et al. 2014) or the surface imperfection and electrons near the conduction band, might be responsible for the green emission peak seen for the Gd-doped ZnOat around 525 nm. The green emissions are commonly attributed to theoxygen vacancies (Studenikin et al. 1998). For Gd-doped ZnO polycrystalline powder samples, the intensity ratio of the green and ultra-violet emission peaks is found to be 0.090 for ZnO, 0.204 for the 2% Gd-doped ZnO, and 0.418 for the 5% Gd-doped ZnO. The defect-related emissions enhanced with increasing Gd doping in the ZnO indicate that a large number of deficiencies, such as oxygen vacancies, are most usually related to crystal deformation (Yi et al. 2017). The results reveal that the Gd doping enhances the Zni and Vo flaws. It could be attributed to structural deformation created by Gd atoms with different ionic sizes than Zn in the ZnO (Ban- dopadhyay and Mitra 2015; Sukumaran et al. 2021). Increas- ing Gd doping in ZnO indicates an increase in defect states, which matches well with the XPS results. We compared our PL results with Farhad et al. (2019), who prepared ZnO DC (drop casting) and ZnO nanorods. Their PL results detected the PL peak at 380 nm and a barely observable green-yellow emission peak; in our case, we find it at 381 nm for ZnO, 384 nm for 2% Gd-doped ZnO and 383 nm for the 5% Gd-doped ZnO polycrystalline sample. This peak represented ZnO's near band edge (NBE) transition because of free excitons recombinations and this PL property indicates high crystalline quality. The luminescent character- istics in the visible region are responsible for the different defects, like zinc interstitials (Zni), oxygen vacancies (Vo), etc., present in the ZnO crystal matrix. As a result, they reported that both ZnO (DC) and ZnO nanorods were found to be defect-free good crystalline and optical properties mate- rials. In our case, all the prepared Gd-doped ZnO powder samples have been found to be with single ionized oxygen vacancies, which are confirmed by the green emission peak at 525 nm in the PL spectra. Conclusion The Gd-doped ZnO powder samples were synthesized by the solid-state reaction method. The XRD patterns affirm that Gd has been successfully incorporated into the ZnO lattice and confirm the hexagonal wurtzite structure. SEM images have been used to reveal the morphologies of the synthesized samples, which appear as rod-like structures. The XPS results showed that the oxygen vacancy-related states in Gd-doped samples increased with increasing Gd doping. PL findings confirmed that the defect-related states are present in the Gd-doped ZnO polycrystalline samples. The green emission and ultra-violet emission peaks' intensity ratio is 0.418 for the 5% Gd-doped ZnO sample, which is the maxi- mum compared to the pure ZnO and 2% Gd-doped ZnO polycrystalline powder sample. These findings confirmed that the oxygen vacancies increase as the Gd concentration increases and the PL results agree well with the XPS results. The UV absorption spectra findings reveal that the band gap in the 5% Gd-doped ZnO sample is found to be 3.23 eV, which is the minimum compared to both the pure ZnO and the 2% Gd-doped ZnO samples, confirming that Eg is reduced with increasing Gd concentration. Acknowledgment The authors are thankful to USIC, University of Rajasthan, Jaipur, Rajasthan (India), for providing SEM images of the prepared samples. We also thank department of physics, BanasthaliVidhyapith, Banasthali, Jaipur, Rajasthan (India) for rendering XRD data. Funding sources This research is not financed by any agency. Authors' contribution Sample preparation, data analysis, manuscript composition and writing (Mahendra Kumar Gora); sample synthesis and data characterization (Arvind Kumar); data recording (Ban- wari Lal Choudhary); data analysis and interpretation (Sanjay Kumar); reviewing and editing (Satya NarainDolia); supervision, writing, reviewing and editing (Rishi Kumar Singhal). 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Magn. 28: 2505-2515. https://doi.org/10.1007/S10948-015-3045-2 Wakano T, Fujimura N, Morinaga Y, Abe N, Ashida A and Ito T (2001), Magnetic and Magneto-Transport Properties of ZnO: Ni Films, Physica E: Low-Dimensional Systems and Nanostructures. 10: 260-264. doi:10. 1016/S1386-9477(01)00095-9 Wang XJ, Wang W and Liu YL (2012), Enhanced acetone sensing performance of Au nanoparticles functional- ized flower-like ZnO, Sensors Actuators B: Chemical. 168: 39-45. https://doi.org/10.1016/j.snb.2012.01.006 Yi XY, Ma CY, Yuan F, Wang N, Qin FW, Hu BC and Zhang QY (2017), Structural, morphological, photolumines- cence and photocatalytic properties of Gd doped ZnO films, Thin Solid Films. 636: 339-345. https://- doi.org/10.1016/j.tsf.2017.05.020 doped ZnO nanocrystals also have an attractive optical responsiveness. Many theoretical and experimental studies showed that RE-doped ZnO could reportedly absorb ultravio- let (UV) light (Chakraborty et al. 2017). Obeid et al. (2019) prepared undoped and Gd-doped ZnO nanocrystalline samples using the thermal decomposition method. They observed that the optical absorption spectra of pristine ZnO increased with a 6% Gd doping concentration and the magnetic properties changed with changing dopant amounts. Their PL spectroscopy results showed the existence of defects, which increased with increasing Gd doping concentrations. They suggested that these DMS nanoparticles can be used for magneto-optoelectronic practical device applications. Undoubtedly, the RE-doped ZnO nanostructures have been intensively studied recently because this is a rapidly growing field due to their multi-functionality and their use in possible new generation applications. With an aim to understand the effect of Gd doping in ZnO in terms of its electronic and optical properties we have synthesize Gd-doped ZnO powder series of different Gd (0%, 2%, and 5%) values. Various characterization techniques have been utilized to explore the electronic, structural and optical features of the synthesized powder series. Gd doping into ZnO produced changes in the band gap and enhanced oxygen vacancies related states in the compound. Materials and methods The Gd-doped ZnO powder samples with varying Gd (0%, 2%, and 5%) concentrations have been synthesized using the conventional solid-state reaction method. A suitable amount of high-purity (99.999% Sigma-Aldrich) zinc oxide (ZnO) and gadolinium oxide (Gd2O3) powder have been used for their preparation. For achieving perfect homogeneity, the ingredients were properly pounded for ~8 hours in an agate mortar and pestle. The prepared material has been sintered for ~8h at~550°C and cooled at room temperature. Again, the mixture was ground for ~2 hours and sintered for ~6 hours at ~550°C. The mixture was milled for ~4 hours before being turned into pellets. Finally, these pellets were sintered for around ~8 hours at about ~600°C. Finally, we ground the pellets to make the powder. The powder form of the prepared samples has been used for further characterization. Characterization techniques The crystallographic structures of the samples have been explored using an X-ray diffractometer (Make: Panalytical X'Pert PRO) using the photon energy of Cu Kα (λ= 1.5406Å). SEM images have been used for the morphology study of the synthesized samples. The SEM equipment model Fig. 8. The Gd4dXPS spectra for (a) 2% Gd-doped ZnO bulk sample and (b) 5% Gd-doped ZnO bulk sample Fig. 9. (a) UV–visible spectra of Gd-doped ZnO (pure ZnO (Gora et al. 2022); Gd = 2% and 5%) and Tauc plots of the synthesized powder samples: (b) for the ZnO (Gora et al. 2022), (c) for the 2% Gd-doped ZnO and (d) for the 5% Gd-doped ZnO RE elements, such as Gd, may introduce additional capabili- ties to the ZnO system because they may be capable of constructing combined practical devices on a single chip by combining magnetic and optical properties (Ohno et al. 1996; Tawil et al. 2011). Rare-earth (RE) metal doping in the dilute magnetic semiconductor (DMS) systems has recently received immense attention due to its potential usage in magneto electronic and photonic devices (Monteiro et al. 2006). The influence of Gd doping on the optical and electrical proper- ties of ZnO is crucial for developing optoelectronic devices and understanding the genesis of ferromagnetism. Ma and Wang (2012) synthesized the Gd-doped ZnO nanocrystals using the thermal evaporation deposition method. According to their findings, Gd doping has an appreciable impact on the optical characteristics of the ZnO. The strong UV and blue emissions are detected at low Gd concentrations because Gd impurities introduce a mid-gap state into ZnO. In compari- son, the UV and blue emissions reduce for high doping concentrations as a significant broad defect emission appears because of the vast numbers of defects, impurities, and excess Gd2O3 produced. Gd-doped ZnO nanocrystals can be used in optoelectronic devices. The optical and electrical tuning of the carrier density and optical band gap energy is essential for developing luminescent materials and equip- ment based on the ZnO DMS systems. The optical band gap and carrier concentration are essential parameters to yield information about the emission wavelength. Several develop- ment characteristics, like the synthesis methods, impurity concentration and substrate variety have been reported to influence these parameters (Wakano et al. 2001; Tan et al. 2011; Murtaza et al. 2011). The synthesis of DMS materials with unique optical, photo- catalytic and magnetic characteristics seems to be the most promising candidate for the subsequent generation of electronic, optoelectronic and spintronic appliances (Kumar and Sahare 2014). The low-dimension materials with imper- fection-free lattice structures have excellent electrical and magnetic characteristics; purposefully made or accidental structural defects play a significant role in altering their features (Li et al. 2016; Obeid et al. 2018). Thus, the presence of different kinds of cation or anion vacancies and intersti- tials in ZnO nanocrystals may change their magnetic proper- ties, photoluminescence, and photocatalytic properties (Coey et al. 2005). Although certain experimental and theoretical findings based on DFT indicate that Gd-doped ZnO exhibits the room temperature ferromagnetism (RTFM) (Potzger et al. 2006; Aravindh et al. 2014) property, several studies have demonstrated that the RTFM is not present (Sambasivam et al. 2015). In addition to their magnetic qualities, the 4f ions ETH 30 kV EVO-18 Carl Zeiss, with a tilt of 0° to 60° and a rotation of 360°, has been used for taking SEM images.The defect-related states and chemical analysis of the samples have been determined using X-ray photoelectron spectrosco- py. A hemispherical analyzer with a 128-channel detector and a monochromated, fully integrated K-alpha small-spot X-ray photoelectron spectrometer system of 180° double focusing is used in XPS (Thermo Scientific made). The UV-visible absorption spectroscopy (Model: Shimadzu UV-3600 UV-VIS-NIR Spectrophotometer) was used to explore the prepared samples' optical absorption and band gap. The measurements of UV-visible absorption spectra have been taken using the powder form of the samples. PL spectroscopy was used to analyze defect-related states in the prepared samples. Photoluminescence spectra have been recorded at room temperature using the fluorescence spectrometer (Model: Perkin Elmer FL 8500). Results and discussion XRD analysis Fig. 1. depicts the powder XRD patterns of the Gd-doped ZnO (Gd = 0%, 2%, and 5%) samples. All the diffraction peaks detected in the ZnO sample match with the standard JCPDS card number (36-1451). This confirms a hexagonal wurtzite crystal structure of the samples. The diffraction peaks were observed at 31.88°, 34.50°, 36.25°, 47.72°, 56.69°, 63.03°, 66.59°, 68.17°, and 69.35°, which are related to the planes (100), (002), (101), (102), (110), (103), (200), (112), and (201), respectively (Ganesh et al. 2018; Bharathi et al. 2020). Further, some additional small peaks have been observed at 28.61°, 33.21°, and 39.14° with increasing Gd doping. These secondary peaks represent- ing a crystallite phase have been identified as Gd2O3, which is well consistent with earlier reports (Das et al. 2012). As shown in Fig. 2, the highest intense peak related to the (101) plane shifted slightly higher angles with the increasing concentration of Gd doping. The shift is because of the substitution of bigger-sized Gd3+ (0.94 Å) ions than Zn2+ (0.74 Å) ions in the hexagonal wurtzite structure. The peak shift may indicate that Gd3+ ions have occupied the crystallo- graphic positions of Zn2+ ions in the ZnO host lattice, or itmay be because of the structural strain caused by the forma- tion of internal compressive micro stress (Dakhel and El-Hilo 2010; Kumar et al. 2014; Sahu et al. 2017). Rietveld refinements have been performed using the Full Prof Programme (shown in Fig. 3). The Pseudo-Voigt function has been used for Rietveld refinement of all the samples with the space group P63mc. The estimated lattice parameters have been listed in Table I. The lattice parameters are found to decrease with Gd doping, similar to those reported in earlier studies (Kaur et al. 2016; Obeid et al. 2019). The factors like the induced deficiencies (vacancies, interstitial) and the ionic radius of Zn and Gd ions can be responsible for the observed change (Kaur et al. 2016; Kumar and Thangavel 2017). SEM analysis Scanning electron micrographs have been used to analyze the morphology of the Gd-doped ZnO powder samples. The SEM images reveal a rod-like morphology in pure ZnO (Gora et al. 2022) and the Gd-doped ZnO polycrystalline samples with some proof of agglomeration and phase segre- gation, as depicted in Fig. 4 (a, b and c). Profound observa- tion of the particles exhibits that the crystallite size is above 100 nm. The particles were intensive and incompatibly distributed all over the mass. A distinct boundary between neighbouring crystallites can be noticed, despite the proxim- ity of these smaller crystallites. XPS analysis The XPS technique is an excellent tool for determining the surface chemistry and electron configuration of the various elements present in a multicomponent material. The carbon C1s peak (284.6 eV) has been used as a refer- ence to calibrate all the binding energies of the spectra. The survey spectrum of the Gd-doped ZnO samples is shown in Fig. 5. The survey spectra revealed the existence of O, Zn, and Gd elements without any impurity in the samples. For ZnO and 2% Gd-doped ZnO powder samples, the binding energies of the Zn2p3/2 and Zn2p1/2 peaks are found to be 1021.25 eV, 1044.25 eV, 1021.43 eV, and 1044.43 eV, respec- tively. However, for the 5% Gd-doped ZnO sample, these peaks are at 1021.83 and 1044.83 eV energy positions. The small shift could be assigned to the creation of Zn interstitials in ZnO upon Gd doping. The binding energy gap between the zinc doublet peaks has been found at about 23 eV. This indicates that Zn in the ZnO crystal structure is in the Zn2+ oxidation state (Khataee et al. 2015; Gawai et al. 2019) as the spin-orbital splitting of Zn2p is 23 eV. This difference does not change with the Gd doping pointing out that Gd doping has no discernible effect on the chemical position of ZnO. The O1s asymmetric XPS spectraare shown in Fig.7 (a) which is asymmetric in shape. The O1s XPS spectra of all these samples i.e. the ZnO, the Zn0.98Gd0.02O, and the Zn0.95Gd0.05O have been deconvoluted mainly into two Gauss- ian peaks, as shown in Fig. 7 (b, c, and d). The lower binding peaks for pure and Gd-doped ZnO (Gd = 2% and 5%) polycrystalline samples have been detected at 529.93 eV, 529.93 eV and 529.78 eV, respectively, which attributed to the lattice oxygen in the hexagonal structure of the ZnO. The higher binding peak for the pure and the Gd-doped ZnO samples have been found at 531.51 eV, 531.66 eV, and 531.49 eV, respectively, which is due to the presence of oxygen vacancies in the ZnO structure (Bharathi et al. 2020; Sukumaran et al. 2021). An additional signal centered at 528.29 eV has been detected in the 5% Gd-doped ZnO powder sample, which could be ascribed to the coordination of oxygen in Gd-O-Zn along grain boundaries because of the excessive Gd dopants and also attributed to the presence of Gd2O3 in the sample (Yi et al. 2017). The lattice oxygen peak has slightly shifted to the lower binding energy with increas- ing Gd concentration, which has been due to the increased oxygen vacancies with increasing Gd doping. The estimated area ratios of the oxygen vacancies peak and the lattice oxygen peak for the samples ZnO, Zn0.98Gd0.02O, and Zn0.95Gd0.05O comes out to be 0.53, 1.30, and 2.49, respectively. These results show that the oxygen vacancies increase with increas- ing Gd concentration. The Fig. 8 (a, b) depicts the high-resolution Gd4d XPS spectra of the Gd-doped samples.In the Gd4d state, the spin-orbit splatted peaks are at 144.6 eV for Gd4d3/2 and 139.6 eV for Gd4d5/2 for the 2% Gd-doped sample, whereas for the 5% Gd-doped ZnO sample, the spin-orbit splits at 145.5 eV for Gd4d3/2 and 139.7 eV for Gd4d5/2 as shown in Fig. 8 (a, b). This indicates that Gd is present in the Gd3+ state in the ZnO hexagonal structure. The shift in peak values of Gd4d3/2 and Gd4d5/2 from 144.6 eV and 139.6 eV, respective- ly; in the case of 2% Gd-doped sample to 145.5 eV and 139.7 eV, respectively, in the case of 5% Gd-doped sample. This shift in Gd4d peaks is ascribed to the electron transfer from plasmonics Gd to ZnO because of the strong electronic interaction (covalent bond) between Gd and the oxide (Ahmad et al. 2011; Wang et al. 2012; Bharathi et al. 2020). UV visible spectroscopy analysis The UV–Visible spectroscopy is a powerful tool for estimat- ing band gap of materials. UV–Vis absorbance spectra and tauc plots for the Gd-doped ZnO samples (Gd = 0% (Gora et al. 2022), 2%, and 5%) samples are shown in Figs.9 (a, b, c, and d). The spectra show a red shift with increasing Gd amount in the ZnO.The UV–Vis absorption intensity of the synthesized polycrystalline samples is found to reduce with the increasing Gd concentration (Mazhdi and Tafreshi 2018). Tauc's plot has been used to calculate the direct band gap of the samples (Jain et al. 2006). The direct band gap has been estimated using the following equation: Here, α is the absorption coefficient,υ is frequency, h is the Planck constant, A is a constant, and Eg is the energy band gap of the substance. Extrapolating the linear component of the curve plotted among (αhυ) 2 and hυ depicted in Fig. 9 (b, c, and d) has been used to obtain the band gap (Farhad et al. 2018; Ghos et al. 2021). The band gap values calculated for the Gd-doped ZnO samples, i.e.are 3.31 eV (Gora et al. 2022), 3.27 eV, and 3.23eV, for the samples Gd = 0%, 2% and 5%, respectively. The small redshift observed in the band gap of Gd-doped ZnO samples is because of the changes in electronic structure as well as enhanced oxygen vacancies with the increasing Gd doping (Yi et al. 2017; Flemban et al. 2016), which is respon- sible for the band gap reduction. Photoluminescence spectroscopy analysis The structural flaws like ionic and atomic vacancies, replace- ments and interstitials have been explored using the PL spectra of the synthesized polycrystalline samples. Fig. 10 (a, b and c) shows the deconvoluted, Gaussian-fitted PL spectra of the synthesized Gd-doped ZnO polycrystalline powder samples. The PL spectra of the samples were recorded at room temperature in order to determine the types of vacancies, defect band emission etc. (Lin et al. 2001; Yi et al. 2017). The photoluminescence spectra have been deconvoluted and the different peaks responsible for the emission have been Gaussian fitted. For these samples the band edge emission peaksare detected at 381 nm, 384 nm, and 383 nm, for the Gd = 0%, 2% and 5% samples, respectively. The UV emission is responsible for the excitonic interaction related to the band edge emission. The intense violet emission exhibited in the Gd-doped ZnO at about 415 nm could be because ofthe oxygen vacancies. The exciton interaction between the holes in the valence band and electrons located in the interstitial zinc could be responsible for the violet emission peak at about 447 nm. Intrinsic deficiencies like interstitial zinc and oxygen can be attributed to the peak at 477 nm (Singh et al. 2009; Kaur et al. 2016). The transformation between singly ionized oxygen deficiency and the photo-created holes (Ken- nedy et al. 2014) or the surface imperfection and electrons near the conduction band, might be responsible for the green emission peak seen for the Gd-doped ZnOat around 525 nm. The green emissions are commonly attributed to theoxygen vacancies (Studenikin et al. 1998). For Gd-doped ZnO polycrystalline powder samples, the intensity ratio of the green and ultra-violet emission peaks is found to be 0.090 for ZnO, 0.204 for the 2% Gd-doped ZnO, and 0.418 for the 5% Gd-doped ZnO. The defect-related emissions enhanced with increasing Gd doping in the ZnO indicate that a large number of deficiencies, such as oxygen vacancies, are most usually related to crystal deformation (Yi et al. 2017). The results reveal that the Gd doping enhances the Zni and Vo flaws. It could be attributed to structural deformation created by Gd atoms with different ionic sizes than Zn in the ZnO (Ban- dopadhyay and Mitra 2015; Sukumaran et al. 2021). Increas- ing Gd doping in ZnO indicates an increase in defect states, which matches well with the XPS results. We compared our PL results with Farhad et al. (2019), who prepared ZnO DC (drop casting) and ZnO nanorods. Their PL results detected the PL peak at 380 nm and a barely observable green-yellow emission peak; in our case, we find it at 381 nm for ZnO, 384 nm for 2% Gd-doped ZnO and 383 nm for the 5% Gd-doped ZnO polycrystalline sample. This peak represented ZnO's near band edge (NBE) transition because of free excitons recombinations and this PL property indicates high crystalline quality. The luminescent character- istics in the visible region are responsible for the different defects, like zinc interstitials (Zni), oxygen vacancies (Vo), etc., present in the ZnO crystal matrix. As a result, they reported that both ZnO (DC) and ZnO nanorods were found to be defect-free good crystalline and optical properties mate- rials. In our case, all the prepared Gd-doped ZnO powder samples have been found to be with single ionized oxygen vacancies, which are confirmed by the green emission peak at 525 nm in the PL spectra. Conclusion The Gd-doped ZnO powder samples were synthesized by the solid-state reaction method. The XRD patterns affirm that Gd has been successfully incorporated into the ZnO lattice and confirm the hexagonal wurtzite structure. SEM images have been used to reveal the morphologies of the synthesized samples, which appear as rod-like structures. The XPS results showed that the oxygen vacancy-related states in Gd-doped samples increased with increasing Gd doping. PL findings confirmed that the defect-related states are present in the Gd-doped ZnO polycrystalline samples. The green emission and ultra-violet emission peaks' intensity ratio is 0.418 for the 5% Gd-doped ZnO sample, which is the maxi- mum compared to the pure ZnO and 2% Gd-doped ZnO polycrystalline powder sample. These findings confirmed that the oxygen vacancies increase as the Gd concentration increases and the PL results agree well with the XPS results. The UV absorption spectra findings reveal that the band gap in the 5% Gd-doped ZnO sample is found to be 3.23 eV, which is the minimum compared to both the pure ZnO and the 2% Gd-doped ZnO samples, confirming that Eg is reduced with increasing Gd concentration. Acknowledgment The authors are thankful to USIC, University of Rajasthan, Jaipur, Rajasthan (India), for providing SEM images of the prepared samples. We also thank department of physics, BanasthaliVidhyapith, Banasthali, Jaipur, Rajasthan (India) for rendering XRD data. Funding sources This research is not financed by any agency. Authors' contribution Sample preparation, data analysis, manuscript composition and writing (Mahendra Kumar Gora); sample synthesis and data characterization (Arvind Kumar); data recording (Ban- wari Lal Choudhary); data analysis and interpretation (Sanjay Kumar); reviewing and editing (Satya NarainDolia); supervision, writing, reviewing and editing (Rishi Kumar Singhal). Conflicts of interest or competing interests All authors declare that we have no conflict of interest or competing interests. Data availability On request, data will be available. Ethical approval Not applicable. References Ahmad M, Yingying S, Nisar A, Sun H, Shen W, Wei M and Zhu J (2011), Synthesis of hierarchical flower-like ZnO nanostructures and their functionalization by Au nanoparti- cles for improved photocatalytic and high performance Li-ion battery anodes, J. Mater. 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Magn. 28: 2505-2515. https://doi.org/10.1007/S10948-015-3045-2 Wakano T, Fujimura N, Morinaga Y, Abe N, Ashida A and Ito T (2001), Magnetic and Magneto-Transport Properties of ZnO: Ni Films, Physica E: Low-Dimensional Systems and Nanostructures. 10: 260-264. doi:10. 1016/S1386-9477(01)00095-9 Wang XJ, Wang W and Liu YL (2012), Enhanced acetone sensing performance of Au nanoparticles functional- ized flower-like ZnO, Sensors Actuators B: Chemical. 168: 39-45. https://doi.org/10.1016/j.snb.2012.01.006 Yi XY, Ma CY, Yuan F, Wang N, Qin FW, Hu BC and Zhang QY (2017), Structural, morphological, photolumines- cence and photocatalytic properties of Gd doped ZnO films, Thin Solid Films. 636: 339-345. https://- doi.org/10.1016/j.tsf.2017.05.020 doped ZnO nanocrystals also have an attractive optical responsiveness. Many theoretical and experimental studies showed that RE-doped ZnO could reportedly absorb ultravio- let (UV) light (Chakraborty et al. 2017). Obeid et al. (2019) prepared undoped and Gd-doped ZnO nanocrystalline samples using the thermal decomposition method. They observed that the optical absorption spectra of pristine ZnO increased with a 6% Gd doping concentration and the magnetic properties changed with changing dopant amounts. Their PL spectroscopy results showed the existence of defects, which increased with increasing Gd doping concentrations. They suggested that these DMS nanoparticles can be used for magneto-optoelectronic practical device applications. Undoubtedly, the RE-doped ZnO nanostructures have been intensively studied recently because this is a rapidly growing field due to their multi-functionality and their use in possible new generation applications. With an aim to understand the effect of Gd doping in ZnO in terms of its electronic and optical properties we have synthesize Gd-doped ZnO powder series of different Gd (0%, 2%, and 5%) values. Various characterization techniques have been utilized to explore the electronic, structural and optical features of the synthesized powder series. Gd doping into ZnO produced changes in the band gap and enhanced oxygen vacancies related states in the compound. Materials and methods The Gd-doped ZnO powder samples with varying Gd (0%, 2%, and 5%) concentrations have been synthesized using the conventional solid-state reaction method. A suitable amount of high-purity (99.999% Sigma-Aldrich) zinc oxide (ZnO) and gadolinium oxide (Gd2O3) powder have been used for their preparation. For achieving perfect homogeneity, the ingredients were properly pounded for ~8 hours in an agate mortar and pestle. The prepared material has been sintered for ~8h at~550°C and cooled at room temperature. Again, the mixture was ground for ~2 hours and sintered for ~6 hours at ~550°C. The mixture was milled for ~4 hours before being turned into pellets. Finally, these pellets were sintered for around ~8 hours at about ~600°C. Finally, we ground the pellets to make the powder. The powder form of the prepared samples has been used for further characterization. Characterization techniques The crystallographic structures of the samples have been explored using an X-ray diffractometer (Make: Panalytical X'Pert PRO) using the photon energy of Cu Kα (λ= 1.5406Å). SEM images have been used for the morphology study of the synthesized samples. The SEM equipment model Fig. 10. PL spectra: (a) for ZnO (Gora et al., 2022), (b) for 2% Gd-doped ZnO (c) for 5% Gd-doped ZnO powder sample RE elements, such as Gd, may introduce additional capabili- ties to the ZnO system because they may be capable of constructing combined practical devices on a single chip by combining magnetic and optical properties (Ohno et al. 1996; Tawil et al. 2011). Rare-earth (RE) metal doping in the dilute magnetic semiconductor (DMS) systems has recently received immense attention due to its potential usage in magneto electronic and photonic devices (Monteiro et al. 2006). The influence of Gd doping on the optical and electrical proper- ties of ZnO is crucial for developing optoelectronic devices and understanding the genesis of ferromagnetism. Ma and Wang (2012) synthesized the Gd-doped ZnO nanocrystals using the thermal evaporation deposition method. According to their findings, Gd doping has an appreciable impact on the optical characteristics of the ZnO. The strong UV and blue emissions are detected at low Gd concentrations because Gd impurities introduce a mid-gap state into ZnO. In compari- son, the UV and blue emissions reduce for high doping concentrations as a significant broad defect emission appears because of the vast numbers of defects, impurities, and excess Gd2O3 produced. Gd-doped ZnO nanocrystals can be used in optoelectronic devices. The optical and electrical tuning of the carrier density and optical band gap energy is essential for developing luminescent materials and equip- ment based on the ZnO DMS systems. The optical band gap and carrier concentration are essential parameters to yield information about the emission wavelength. Several develop- ment characteristics, like the synthesis methods, impurity concentration and substrate variety have been reported to influence these parameters (Wakano et al. 2001; Tan et al. 2011; Murtaza et al. 2011). The synthesis of DMS materials with unique optical, photo- catalytic and magnetic characteristics seems to be the most promising candidate for the subsequent generation of electronic, optoelectronic and spintronic appliances (Kumar and Sahare 2014). The low-dimension materials with imper- fection-free lattice structures have excellent electrical and magnetic characteristics; purposefully made or accidental structural defects play a significant role in altering their features (Li et al. 2016; Obeid et al. 2018). Thus, the presence of different kinds of cation or anion vacancies and intersti- tials in ZnO nanocrystals may change their magnetic proper- ties, photoluminescence, and photocatalytic properties (Coey et al. 2005). Although certain experimental and theoretical findings based on DFT indicate that Gd-doped ZnO exhibits the room temperature ferromagnetism (RTFM) (Potzger et al. 2006; Aravindh et al. 2014) property, several studies have demonstrated that the RTFM is not present (Sambasivam et al. 2015). In addition to their magnetic qualities, the 4f ions ETH 30 kV EVO-18 Carl Zeiss, with a tilt of 0° to 60° and a rotation of 360°, has been used for taking SEM images.The defect-related states and chemical analysis of the samples have been determined using X-ray photoelectron spectrosco- py. A hemispherical analyzer with a 128-channel detector and a monochromated, fully integrated K-alpha small-spot X-ray photoelectron spectrometer system of 180° double focusing is used in XPS (Thermo Scientific made). The UV-visible absorption spectroscopy (Model: Shimadzu UV-3600 UV-VIS-NIR Spectrophotometer) was used to explore the prepared samples' optical absorption and band gap. The measurements of UV-visible absorption spectra have been taken using the powder form of the samples. PL spectroscopy was used to analyze defect-related states in the prepared samples. Photoluminescence spectra have been recorded at room temperature using the fluorescence spectrometer (Model: Perkin Elmer FL 8500). Results and discussion XRD analysis Fig. 1. depicts the powder XRD patterns of the Gd-doped ZnO (Gd = 0%, 2%, and 5%) samples. All the diffraction peaks detected in the ZnO sample match with the standard JCPDS card number (36-1451). This confirms a hexagonal wurtzite crystal structure of the samples. The diffraction peaks were observed at 31.88°, 34.50°, 36.25°, 47.72°, 56.69°, 63.03°, 66.59°, 68.17°, and 69.35°, which are related to the planes (100), (002), (101), (102), (110), (103), (200), (112), and (201), respectively (Ganesh et al. 2018; Bharathi et al. 2020). Further, some additional small peaks have been observed at 28.61°, 33.21°, and 39.14° with increasing Gd doping. These secondary peaks represent- ing a crystallite phase have been identified as Gd2O3, which is well consistent with earlier reports (Das et al. 2012). As shown in Fig. 2, the highest intense peak related to the (101) plane shifted slightly higher angles with the increasing concentration of Gd doping. The shift is because of the substitution of bigger-sized Gd3+ (0.94 Å) ions than Zn2+ (0.74 Å) ions in the hexagonal wurtzite structure. The peak shift may indicate that Gd3+ ions have occupied the crystallo- graphic positions of Zn2+ ions in the ZnO host lattice, or itmay be because of the structural strain caused by the forma- tion of internal compressive micro stress (Dakhel and El-Hilo 2010; Kumar et al. 2014; Sahu et al. 2017). Rietveld refinements have been performed using the Full Prof Programme (shown in Fig. 3). The Pseudo-Voigt function has been used for Rietveld refinement of all the samples with the space group P63mc. The estimated lattice parameters have been listed in Table I. The lattice parameters are found to decrease with Gd doping, similar to those reported in earlier studies (Kaur et al. 2016; Obeid et al. 2019). The factors like the induced deficiencies (vacancies, interstitial) and the ionic radius of Zn and Gd ions can be responsible for the observed change (Kaur et al. 2016; Kumar and Thangavel 2017). SEM analysis Scanning electron micrographs have been used to analyze the morphology of the Gd-doped ZnO powder samples. The SEM images reveal a rod-like morphology in pure ZnO (Gora et al. 2022) and the Gd-doped ZnO polycrystalline samples with some proof of agglomeration and phase segre- gation, as depicted in Fig. 4 (a, b and c). Profound observa- tion of the particles exhibits that the crystallite size is above 100 nm. The particles were intensive and incompatibly distributed all over the mass. A distinct boundary between neighbouring crystallites can be noticed, despite the proxim- ity of these smaller crystallites. XPS analysis The XPS technique is an excellent tool for determining the surface chemistry and electron configuration of the various elements present in a multicomponent material. The carbon C1s peak (284.6 eV) has been used as a refer- ence to calibrate all the binding energies of the spectra. The survey spectrum of the Gd-doped ZnO samples is shown in Fig. 5. The survey spectra revealed the existence of O, Zn, and Gd elements without any impurity in the samples. For ZnO and 2% Gd-doped ZnO powder samples, the binding energies of the Zn2p3/2 and Zn2p1/2 peaks are found to be 1021.25 eV, 1044.25 eV, 1021.43 eV, and 1044.43 eV, respec- tively. However, for the 5% Gd-doped ZnO sample, these peaks are at 1021.83 and 1044.83 eV energy positions. The small shift could be assigned to the creation of Zn interstitials in ZnO upon Gd doping. The binding energy gap between the zinc doublet peaks has been found at about 23 eV. This indicates that Zn in the ZnO crystal structure is in the Zn2+ oxidation state (Khataee et al. 2015; Gawai et al. 2019) as the spin-orbital splitting of Zn2p is 23 eV. This difference does not change with the Gd doping pointing out that Gd doping has no discernible effect on the chemical position of ZnO. The O1s asymmetric XPS spectraare shown in Fig.7 (a) which is asymmetric in shape. The O1s XPS spectra of all these samples i.e. the ZnO, the Zn0.98Gd0.02O, and the Zn0.95Gd0.05O have been deconvoluted mainly into two Gauss- ian peaks, as shown in Fig. 7 (b, c, and d). The lower binding peaks for pure and Gd-doped ZnO (Gd = 2% and 5%) polycrystalline samples have been detected at 529.93 eV, 529.93 eV and 529.78 eV, respectively, which attributed to the lattice oxygen in the hexagonal structure of the ZnO. The higher binding peak for the pure and the Gd-doped ZnO samples have been found at 531.51 eV, 531.66 eV, and 531.49 eV, respectively, which is due to the presence of oxygen vacancies in the ZnO structure (Bharathi et al. 2020; Sukumaran et al. 2021). An additional signal centered at 528.29 eV has been detected in the 5% Gd-doped ZnO powder sample, which could be ascribed to the coordination of oxygen in Gd-O-Zn along grain boundaries because of the excessive Gd dopants and also attributed to the presence of Gd2O3 in the sample (Yi et al. 2017). The lattice oxygen peak has slightly shifted to the lower binding energy with increas- ing Gd concentration, which has been due to the increased oxygen vacancies with increasing Gd doping. The estimated area ratios of the oxygen vacancies peak and the lattice oxygen peak for the samples ZnO, Zn0.98Gd0.02O, and Zn0.95Gd0.05O comes out to be 0.53, 1.30, and 2.49, respectively. These results show that the oxygen vacancies increase with increas- ing Gd concentration. The Fig. 8 (a, b) depicts the high-resolution Gd4d XPS spectra of the Gd-doped samples.In the Gd4d state, the spin-orbit splatted peaks are at 144.6 eV for Gd4d3/2 and 139.6 eV for Gd4d5/2 for the 2% Gd-doped sample, whereas for the 5% Gd-doped ZnO sample, the spin-orbit splits at 145.5 eV for Gd4d3/2 and 139.7 eV for Gd4d5/2 as shown in Fig. 8 (a, b). This indicates that Gd is present in the Gd3+ state in the ZnO hexagonal structure. The shift in peak values of Gd4d3/2 and Gd4d5/2 from 144.6 eV and 139.6 eV, respective- ly; in the case of 2% Gd-doped sample to 145.5 eV and 139.7 eV, respectively, in the case of 5% Gd-doped sample. This shift in Gd4d peaks is ascribed to the electron transfer from plasmonics Gd to ZnO because of the strong electronic interaction (covalent bond) between Gd and the oxide (Ahmad et al. 2011; Wang et al. 2012; Bharathi et al. 2020). UV visible spectroscopy analysis The UV–Visible spectroscopy is a powerful tool for estimat- ing band gap of materials. UV–Vis absorbance spectra and tauc plots for the Gd-doped ZnO samples (Gd = 0% (Gora et al. 2022), 2%, and 5%) samples are shown in Figs.9 (a, b, c, and d). The spectra show a red shift with increasing Gd amount in the ZnO.The UV–Vis absorption intensity of the synthesized polycrystalline samples is found to reduce with the increasing Gd concentration (Mazhdi and Tafreshi 2018). Tauc's plot has been used to calculate the direct band gap of the samples (Jain et al. 2006). The direct band gap has been estimated using the following equation: Here, α is the absorption coefficient,υ is frequency, h is the Planck constant, A is a constant, and Eg is the energy band gap of the substance. Extrapolating the linear component of the curve plotted among (αhυ) 2 and hυ depicted in Fig. 9 (b, c, and d) has been used to obtain the band gap (Farhad et al. 2018; Ghos et al. 2021). The band gap values calculated for the Gd-doped ZnO samples, i.e.are 3.31 eV (Gora et al. 2022), 3.27 eV, and 3.23eV, for the samples Gd = 0%, 2% and 5%, respectively. The small redshift observed in the band gap of Gd-doped ZnO samples is because of the changes in electronic structure as well as enhanced oxygen vacancies with the increasing Gd doping (Yi et al. 2017; Flemban et al. 2016), which is respon- sible for the band gap reduction. Photoluminescence spectroscopy analysis The structural flaws like ionic and atomic vacancies, replace- ments and interstitials have been explored using the PL spectra of the synthesized polycrystalline samples. Fig. 10 (a, b and c) shows the deconvoluted, Gaussian-fitted PL spectra of the synthesized Gd-doped ZnO polycrystalline powder samples. The PL spectra of the samples were recorded at room temperature in order to determine the types of vacancies, defect band emission etc. (Lin et al. 2001; Yi et al. 2017). The photoluminescence spectra have been deconvoluted and the different peaks responsible for the emission have been Gaussian fitted. For these samples the band edge emission peaksare detected at 381 nm, 384 nm, and 383 nm, for the Gd = 0%, 2% and 5% samples, respectively. The UV emission is responsible for the excitonic interaction related to the band edge emission. The intense violet emission exhibited in the Gd-doped ZnO at about 415 nm could be because ofthe oxygen vacancies. The exciton interaction between the holes in the valence band and electrons located in the interstitial zinc could be responsible for the violet emission peak at about 447 nm. Intrinsic deficiencies like interstitial zinc and oxygen can be attributed to the peak at 477 nm (Singh et al. 2009; Kaur et al. 2016). The transformation between singly ionized oxygen deficiency and the photo-created holes (Ken- nedy et al. 2014) or the surface imperfection and electrons near the conduction band, might be responsible for the green emission peak seen for the Gd-doped ZnOat around 525 nm. The green emissions are commonly attributed to theoxygen vacancies (Studenikin et al. 1998). For Gd-doped ZnO polycrystalline powder samples, the intensity ratio of the green and ultra-violet emission peaks is found to be 0.090 for ZnO, 0.204 for the 2% Gd-doped ZnO, and 0.418 for the 5% Gd-doped ZnO. The defect-related emissions enhanced with increasing Gd doping in the ZnO indicate that a large number of deficiencies, such as oxygen vacancies, are most usually related to crystal deformation (Yi et al. 2017). The results reveal that the Gd doping enhances the Zni and Vo flaws. It could be attributed to structural deformation created by Gd atoms with different ionic sizes than Zn in the ZnO (Ban- dopadhyay and Mitra 2015; Sukumaran et al. 2021). Increas- ing Gd doping in ZnO indicates an increase in defect states, which matches well with the XPS results. We compared our PL results with Farhad et al. (2019), who prepared ZnO DC (drop casting) and ZnO nanorods. Their PL results detected the PL peak at 380 nm and a barely observable green-yellow emission peak; in our case, we find it at 381 nm for ZnO, 384 nm for 2% Gd-doped ZnO and 383 nm for the 5% Gd-doped ZnO polycrystalline sample. This peak represented ZnO's near band edge (NBE) transition because of free excitons recombinations and this PL property indicates high crystalline quality. The luminescent character- istics in the visible region are responsible for the different defects, like zinc interstitials (Zni), oxygen vacancies (Vo), etc., present in the ZnO crystal matrix. As a result, they reported that both ZnO (DC) and ZnO nanorods were found to be defect-free good crystalline and optical properties mate- rials. In our case, all the prepared Gd-doped ZnO powder samples have been found to be with single ionized oxygen vacancies, which are confirmed by the green emission peak at 525 nm in the PL spectra. Conclusion The Gd-doped ZnO powder samples were synthesized by the solid-state reaction method. The XRD patterns affirm that Gd has been successfully incorporated into the ZnO lattice and confirm the hexagonal wurtzite structure. SEM images have been used to reveal the morphologies of the synthesized samples, which appear as rod-like structures. The XPS results showed that the oxygen vacancy-related states in Gd-doped samples increased with increasing Gd doping. PL findings confirmed that the defect-related states are present in the Gd-doped ZnO polycrystalline samples. The green emission and ultra-violet emission peaks' intensity ratio is 0.418 for the 5% Gd-doped ZnO sample, which is the maxi- mum compared to the pure ZnO and 2% Gd-doped ZnO polycrystalline powder sample. These findings confirmed that the oxygen vacancies increase as the Gd concentration increases and the PL results agree well with the XPS results. The UV absorption spectra findings reveal that the band gap in the 5% Gd-doped ZnO sample is found to be 3.23 eV, which is the minimum compared to both the pure ZnO and the 2% Gd-doped ZnO samples, confirming that Eg is reduced with increasing Gd concentration. Acknowledgment The authors are thankful to USIC, University of Rajasthan, Jaipur, Rajasthan (India), for providing SEM images of the prepared samples. We also thank department of physics, BanasthaliVidhyapith, Banasthali, Jaipur, Rajasthan (India) for rendering XRD data. Funding sources This research is not financed by any agency. Authors' contribution Sample preparation, data analysis, manuscript composition and writing (Mahendra Kumar Gora); sample synthesis and data characterization (Arvind Kumar); data recording (Ban- wari Lal Choudhary); data analysis and interpretation (Sanjay Kumar); reviewing and editing (Satya NarainDolia); supervision, writing, reviewing and editing (Rishi Kumar Singhal). Conflicts of interest or competing interests All authors declare that we have no conflict of interest or competing interests. Data availability On request, data will be available. Ethical approval Not applicable. References Ahmad M, Yingying S, Nisar A, Sun H, Shen W, Wei M and Zhu J (2011), Synthesis of hierarchical flower-like ZnO nanostructures and their functionalization by Au nanoparti- cles for improved photocatalytic and high performance Li-ion battery anodes, J. Mater. 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Magn. 28: 2505-2515. https://doi.org/10.1007/S10948-015-3045-2 Wakano T, Fujimura N, Morinaga Y, Abe N, Ashida A and Ito T (2001), Magnetic and Magneto-Transport Properties of ZnO: Ni Films, Physica E: Low-Dimensional Systems and Nanostructures. 10: 260-264. doi:10. 1016/S1386-9477(01)00095-9 Wang XJ, Wang W and Liu YL (2012), Enhanced acetone sensing performance of Au nanoparticles functional- ized flower-like ZnO, Sensors Actuators B: Chemical. 168: 39-45. https://doi.org/10.1016/j.snb.2012.01.006 Yi XY, Ma CY, Yuan F, Wang N, Qin FW, Hu BC and Zhang QY (2017), Structural, morphological, photolumines- cence and photocatalytic properties of Gd doped ZnO films, Thin Solid Films. 636: 339-345. https://- doi.org/10.1016/j.tsf.2017.05.020 doped ZnO nanocrystals also have an attractive optical responsiveness. Many theoretical and experimental studies showed that RE-doped ZnO could reportedly absorb ultravio- let (UV) light (Chakraborty et al. 2017). Obeid et al. (2019) prepared undoped and Gd-doped ZnO nanocrystalline samples using the thermal decomposition method. They observed that the optical absorption spectra of pristine ZnO increased with a 6% Gd doping concentration and the magnetic properties changed with changing dopant amounts. Their PL spectroscopy results showed the existence of defects, which increased with increasing Gd doping concentrations. They suggested that these DMS nanoparticles can be used for magneto-optoelectronic practical device applications. Undoubtedly, the RE-doped ZnO nanostructures have been intensively studied recently because this is a rapidly growing field due to their multi-functionality and their use in possible new generation applications. With an aim to understand the effect of Gd doping in ZnO in terms of its electronic and optical properties we have synthesize Gd-doped ZnO powder series of different Gd (0%, 2%, and 5%) values. Various characterization techniques have been utilized to explore the electronic, structural and optical features of the synthesized powder series. Gd doping into ZnO produced changes in the band gap and enhanced oxygen vacancies related states in the compound. Materials and methods The Gd-doped ZnO powder samples with varying Gd (0%, 2%, and 5%) concentrations have been synthesized using the conventional solid-state reaction method. A suitable amount of high-purity (99.999% Sigma-Aldrich) zinc oxide (ZnO) and gadolinium oxide (Gd2O3) powder have been used for their preparation. For achieving perfect homogeneity, the ingredients were properly pounded for ~8 hours in an agate mortar and pestle. The prepared material has been sintered for ~8h at~550°C and cooled at room temperature. Again, the mixture was ground for ~2 hours and sintered for ~6 hours at ~550°C. The mixture was milled for ~4 hours before being turned into pellets. Finally, these pellets were sintered for around ~8 hours at about ~600°C. Finally, we ground the pellets to make the powder. The powder form of the prepared samples has been used for further characterization. Characterization techniques The crystallographic structures of the samples have been explored using an X-ray diffractometer (Make: Panalytical X'Pert PRO) using the photon energy of Cu Kα (λ= 1.5406Å). SEM images have been used for the morphology study of the synthesized samples. The SEM equipment model RE elements, such as Gd, may introduce additional capabili- ties to the ZnO system because they may be capable of constructing combined practical devices on a single chip by combining magnetic and optical properties (Ohno et al. 1996; Tawil et al. 2011). Rare-earth (RE) metal doping in the dilute magnetic semiconductor (DMS) systems has recently received immense attention due to its potential usage in magneto electronic and photonic devices (Monteiro et al. 2006). The influence of Gd doping on the optical and electrical proper- ties of ZnO is crucial for developing optoelectronic devices and understanding the genesis of ferromagnetism. Ma and Wang (2012) synthesized the Gd-doped ZnO nanocrystals using the thermal evaporation deposition method. According to their findings, Gd doping has an appreciable impact on the optical characteristics of the ZnO. The strong UV and blue emissions are detected at low Gd concentrations because Gd impurities introduce a mid-gap state into ZnO. In compari- son, the UV and blue emissions reduce for high doping concentrations as a significant broad defect emission appears because of the vast numbers of defects, impurities, and excess Gd2O3 produced. Gd-doped ZnO nanocrystals can be used in optoelectronic devices. The optical and electrical tuning of the carrier density and optical band gap energy is essential for developing luminescent materials and equip- ment based on the ZnO DMS systems. The optical band gap and carrier concentration are essential parameters to yield information about the emission wavelength. Several develop- ment characteristics, like the synthesis methods, impurity concentration and substrate variety have been reported to influence these parameters (Wakano et al. 2001; Tan et al. 2011; Murtaza et al. 2011). The synthesis of DMS materials with unique optical, photo- catalytic and magnetic characteristics seems to be the most promising candidate for the subsequent generation of electronic, optoelectronic and spintronic appliances (Kumar and Sahare 2014). The low-dimension materials with imper- fection-free lattice structures have excellent electrical and magnetic characteristics; purposefully made or accidental structural defects play a significant role in altering their features (Li et al. 2016; Obeid et al. 2018). Thus, the presence of different kinds of cation or anion vacancies and intersti- tials in ZnO nanocrystals may change their magnetic proper- ties, photoluminescence, and photocatalytic properties (Coey et al. 2005). Although certain experimental and theoretical findings based on DFT indicate that Gd-doped ZnO exhibits the room temperature ferromagnetism (RTFM) (Potzger et al. 2006; Aravindh et al. 2014) property, several studies have demonstrated that the RTFM is not present (Sambasivam et al. 2015). In addition to their magnetic qualities, the 4f ions ETH 30 kV EVO-18 Carl Zeiss, with a tilt of 0° to 60° and a rotation of 360°, has been used for taking SEM images.The defect-related states and chemical analysis of the samples have been determined using X-ray photoelectron spectrosco- py. A hemispherical analyzer with a 128-channel detector and a monochromated, fully integrated K-alpha small-spot X-ray photoelectron spectrometer system of 180° double focusing is used in XPS (Thermo Scientific made). The UV-visible absorption spectroscopy (Model: Shimadzu UV-3600 UV-VIS-NIR Spectrophotometer) was used to explore the prepared samples' optical absorption and band gap. The measurements of UV-visible absorption spectra have been taken using the powder form of the samples. PL spectroscopy was used to analyze defect-related states in the prepared samples. Photoluminescence spectra have been recorded at room temperature using the fluorescence spectrometer (Model: Perkin Elmer FL 8500). Results and discussion XRD analysis Fig. 1. depicts the powder XRD patterns of the Gd-doped ZnO (Gd = 0%, 2%, and 5%) samples. All the diffraction peaks detected in the ZnO sample match with the standard JCPDS card number (36-1451). This confirms a hexagonal wurtzite crystal structure of the samples. The diffraction peaks were observed at 31.88°, 34.50°, 36.25°, 47.72°, 56.69°, 63.03°, 66.59°, 68.17°, and 69.35°, which are related to the planes (100), (002), (101), (102), (110), (103), (200), (112), and (201), respectively (Ganesh et al. 2018; Bharathi et al. 2020). Further, some additional small peaks have been observed at 28.61°, 33.21°, and 39.14° with increasing Gd doping. These secondary peaks represent- ing a crystallite phase have been identified as Gd2O3, which is well consistent with earlier reports (Das et al. 2012). As shown in Fig. 2, the highest intense peak related to the (101) plane shifted slightly higher angles with the increasing concentration of Gd doping. The shift is because of the substitution of bigger-sized Gd3+ (0.94 Å) ions than Zn2+ (0.74 Å) ions in the hexagonal wurtzite structure. The peak shift may indicate that Gd3+ ions have occupied the crystallo- graphic positions of Zn2+ ions in the ZnO host lattice, or itmay be because of the structural strain caused by the forma- tion of internal compressive micro stress (Dakhel and El-Hilo 2010; Kumar et al. 2014; Sahu et al. 2017). Rietveld refinements have been performed using the Full Prof Programme (shown in Fig. 3). The Pseudo-Voigt function has been used for Rietveld refinement of all the samples with the space group P63mc. The estimated lattice parameters have been listed in Table I. The lattice parameters are found to decrease with Gd doping, similar to those reported in earlier studies (Kaur et al. 2016; Obeid et al. 2019). The factors like the induced deficiencies (vacancies, interstitial) and the ionic radius of Zn and Gd ions can be responsible for the observed change (Kaur et al. 2016; Kumar and Thangavel 2017). SEM analysis Scanning electron micrographs have been used to analyze the morphology of the Gd-doped ZnO powder samples. The SEM images reveal a rod-like morphology in pure ZnO (Gora et al. 2022) and the Gd-doped ZnO polycrystalline samples with some proof of agglomeration and phase segre- gation, as depicted in Fig. 4 (a, b and c). Profound observa- tion of the particles exhibits that the crystallite size is above 100 nm. The particles were intensive and incompatibly distributed all over the mass. A distinct boundary between neighbouring crystallites can be noticed, despite the proxim- ity of these smaller crystallites. XPS analysis The XPS technique is an excellent tool for determining the surface chemistry and electron configuration of the various elements present in a multicomponent material. The carbon C1s peak (284.6 eV) has been used as a refer- ence to calibrate all the binding energies of the spectra. The survey spectrum of the Gd-doped ZnO samples is shown in Fig. 5. The survey spectra revealed the existence of O, Zn, and Gd elements without any impurity in the samples. For ZnO and 2% Gd-doped ZnO powder samples, the binding energies of the Zn2p3/2 and Zn2p1/2 peaks are found to be 1021.25 eV, 1044.25 eV, 1021.43 eV, and 1044.43 eV, respec- tively. However, for the 5% Gd-doped ZnO sample, these peaks are at 1021.83 and 1044.83 eV energy positions. The small shift could be assigned to the creation of Zn interstitials in ZnO upon Gd doping. The binding energy gap between the zinc doublet peaks has been found at about 23 eV. This indicates that Zn in the ZnO crystal structure is in the Zn2+ oxidation state (Khataee et al. 2015; Gawai et al. 2019) as the spin-orbital splitting of Zn2p is 23 eV. This difference does not change with the Gd doping pointing out that Gd doping has no discernible effect on the chemical position of ZnO. The O1s asymmetric XPS spectraare shown in Fig.7 (a) which is asymmetric in shape. The O1s XPS spectra of all these samples i.e. the ZnO, the Zn0.98Gd0.02O, and the Zn0.95Gd0.05O have been deconvoluted mainly into two Gauss- ian peaks, as shown in Fig. 7 (b, c, and d). The lower binding peaks for pure and Gd-doped ZnO (Gd = 2% and 5%) polycrystalline samples have been detected at 529.93 eV, 529.93 eV and 529.78 eV, respectively, which attributed to the lattice oxygen in the hexagonal structure of the ZnO. The higher binding peak for the pure and the Gd-doped ZnO samples have been found at 531.51 eV, 531.66 eV, and 531.49 eV, respectively, which is due to the presence of oxygen vacancies in the ZnO structure (Bharathi et al. 2020; Sukumaran et al. 2021). An additional signal centered at 528.29 eV has been detected in the 5% Gd-doped ZnO powder sample, which could be ascribed to the coordination of oxygen in Gd-O-Zn along grain boundaries because of the excessive Gd dopants and also attributed to the presence of Gd2O3 in the sample (Yi et al. 2017). The lattice oxygen peak has slightly shifted to the lower binding energy with increas- ing Gd concentration, which has been due to the increased oxygen vacancies with increasing Gd doping. The estimated area ratios of the oxygen vacancies peak and the lattice oxygen peak for the samples ZnO, Zn0.98Gd0.02O, and Zn0.95Gd0.05O comes out to be 0.53, 1.30, and 2.49, respectively. These results show that the oxygen vacancies increase with increas- ing Gd concentration. The Fig. 8 (a, b) depicts the high-resolution Gd4d XPS spectra of the Gd-doped samples.In the Gd4d state, the spin-orbit splatted peaks are at 144.6 eV for Gd4d3/2 and 139.6 eV for Gd4d5/2 for the 2% Gd-doped sample, whereas for the 5% Gd-doped ZnO sample, the spin-orbit splits at 145.5 eV for Gd4d3/2 and 139.7 eV for Gd4d5/2 as shown in Fig. 8 (a, b). This indicates that Gd is present in the Gd3+ state in the ZnO hexagonal structure. The shift in peak values of Gd4d3/2 and Gd4d5/2 from 144.6 eV and 139.6 eV, respective- ly; in the case of 2% Gd-doped sample to 145.5 eV and 139.7 eV, respectively, in the case of 5% Gd-doped sample. This shift in Gd4d peaks is ascribed to the electron transfer from plasmonics Gd to ZnO because of the strong electronic interaction (covalent bond) between Gd and the oxide (Ahmad et al. 2011; Wang et al. 2012; Bharathi et al. 2020). UV visible spectroscopy analysis The UV–Visible spectroscopy is a powerful tool for estimat- ing band gap of materials. UV–Vis absorbance spectra and tauc plots for the Gd-doped ZnO samples (Gd = 0% (Gora et al. 2022), 2%, and 5%) samples are shown in Figs.9 (a, b, c, and d). The spectra show a red shift with increasing Gd amount in the ZnO.The UV–Vis absorption intensity of the synthesized polycrystalline samples is found to reduce with the increasing Gd concentration (Mazhdi and Tafreshi 2018). Tauc's plot has been used to calculate the direct band gap of the samples (Jain et al. 2006). The direct band gap has been estimated using the following equation: Here, α is the absorption coefficient,υ is frequency, h is the Planck constant, A is a constant, and Eg is the energy band gap of the substance. Extrapolating the linear component of the curve plotted among (αhυ) 2 and hυ depicted in Fig. 9 (b, c, and d) has been used to obtain the band gap (Farhad et al. 2018; Ghos et al. 2021). The band gap values calculated for the Gd-doped ZnO samples, i.e.are 3.31 eV (Gora et al. 2022), 3.27 eV, and 3.23eV, for the samples Gd = 0%, 2% and 5%, respectively. The small redshift observed in the band gap of Gd-doped ZnO samples is because of the changes in electronic structure as well as enhanced oxygen vacancies with the increasing Gd doping (Yi et al. 2017; Flemban et al. 2016), which is respon- sible for the band gap reduction. Photoluminescence spectroscopy analysis The structural flaws like ionic and atomic vacancies, replace- ments and interstitials have been explored using the PL spectra of the synthesized polycrystalline samples. Fig. 10 (a, b and c) shows the deconvoluted, Gaussian-fitted PL spectra of the synthesized Gd-doped ZnO polycrystalline powder samples. The PL spectra of the samples were recorded at room temperature in order to determine the types of vacancies, defect band emission etc. (Lin et al. 2001; Yi et al. 2017). The photoluminescence spectra have been deconvoluted and the different peaks responsible for the emission have been Gaussian fitted. For these samples the band edge emission peaksare detected at 381 nm, 384 nm, and 383 nm, for the Gd = 0%, 2% and 5% samples, respectively. The UV emission is responsible for the excitonic interaction related to the band edge emission. The intense violet emission exhibited in the Gd-doped ZnO at about 415 nm could be because ofthe oxygen vacancies. The exciton interaction between the holes in the valence band and electrons located in the interstitial zinc could be responsible for the violet emission peak at about 447 nm. Intrinsic deficiencies like interstitial zinc and oxygen can be attributed to the peak at 477 nm (Singh et al. 2009; Kaur et al. 2016). The transformation between singly ionized oxygen deficiency and the photo-created holes (Ken- nedy et al. 2014) or the surface imperfection and electrons near the conduction band, might be responsible for the green emission peak seen for the Gd-doped ZnOat around 525 nm. The green emissions are commonly attributed to theoxygen vacancies (Studenikin et al. 1998). For Gd-doped ZnO polycrystalline powder samples, the intensity ratio of the green and ultra-violet emission peaks is found to be 0.090 for ZnO, 0.204 for the 2% Gd-doped ZnO, and 0.418 for the 5% Gd-doped ZnO. The defect-related emissions enhanced with increasing Gd doping in the ZnO indicate that a large number of deficiencies, such as oxygen vacancies, are most usually related to crystal deformation (Yi et al. 2017). The results reveal that the Gd doping enhances the Zni and Vo flaws. It could be attributed to structural deformation created by Gd atoms with different ionic sizes than Zn in the ZnO (Ban- dopadhyay and Mitra 2015; Sukumaran et al. 2021). Increas- ing Gd doping in ZnO indicates an increase in defect states, which matches well with the XPS results. We compared our PL results with Farhad et al. (2019), who prepared ZnO DC (drop casting) and ZnO nanorods. Their PL results detected the PL peak at 380 nm and a barely observable green-yellow emission peak; in our case, we find it at 381 nm for ZnO, 384 nm for 2% Gd-doped ZnO and 383 nm for the 5% Gd-doped ZnO polycrystalline sample. This peak represented ZnO's near band edge (NBE) transition because of free excitons recombinations and this PL property indicates high crystalline quality. The luminescent character- istics in the visible region are responsible for the different defects, like zinc interstitials (Zni), oxygen vacancies (Vo), etc., present in the ZnO crystal matrix. As a result, they reported that both ZnO (DC) and ZnO nanorods were found to be defect-free good crystalline and optical properties mate- rials. In our case, all the prepared Gd-doped ZnO powder samples have been found to be with single ionized oxygen vacancies, which are confirmed by the green emission peak at 525 nm in the PL spectra. Conclusion The Gd-doped ZnO powder samples were synthesized by the solid-state reaction method. The XRD patterns affirm that Gd has been successfully incorporated into the ZnO lattice and confirm the hexagonal wurtzite structure. SEM images have been used to reveal the morphologies of the synthesized samples, which appear as rod-like structures. The XPS results showed that the oxygen vacancy-related states in Gd-doped samples increased with increasing Gd doping. PL findings confirmed that the defect-related states are present in the Gd-doped ZnO polycrystalline samples. The green emission and ultra-violet emission peaks' intensity ratio is 0.418 for the 5% Gd-doped ZnO sample, which is the maxi- mum compared to the pure ZnO and 2% Gd-doped ZnO polycrystalline powder sample. These findings confirmed that the oxygen vacancies increase as the Gd concentration increases and the PL results agree well with the XPS results. The UV absorption spectra findings reveal that the band gap in the 5% Gd-doped ZnO sample is found to be 3.23 eV, which is the minimum compared to both the pure ZnO and the 2% Gd-doped ZnO samples, confirming that Eg is reduced with increasing Gd concentration. Acknowledgment The authors are thankful to USIC, University of Rajasthan, Jaipur, Rajasthan (India), for providing SEM images of the prepared samples. We also thank department of physics, BanasthaliVidhyapith, Banasthali, Jaipur, Rajasthan (India) for rendering XRD data. Funding sources This research is not financed by any agency. Authors' contribution Sample preparation, data analysis, manuscript composition and writing (Mahendra Kumar Gora); sample synthesis and data characterization (Arvind Kumar); data recording (Ban- wari Lal Choudhary); data analysis and interpretation (Sanjay Kumar); reviewing and editing (Satya NarainDolia); supervision, writing, reviewing and editing (Rishi Kumar Singhal). 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Magn. 28: 2505-2515. https://doi.org/10.1007/S10948-015-3045-2 Wakano T, Fujimura N, Morinaga Y, Abe N, Ashida A and Ito T (2001), Magnetic and Magneto-Transport Properties of ZnO: Ni Films, Physica E: Low-Dimensional Systems and Nanostructures. 10: 260-264. doi:10. 1016/S1386-9477(01)00095-9 Wang XJ, Wang W and Liu YL (2012), Enhanced acetone sensing performance of Au nanoparticles functional- ized flower-like ZnO, Sensors Actuators B: Chemical. 168: 39-45. https://doi.org/10.1016/j.snb.2012.01.006 Yi XY, Ma CY, Yuan F, Wang N, Qin FW, Hu BC and Zhang QY (2017), Structural, morphological, photolumines- cence and photocatalytic properties of Gd doped ZnO films, Thin Solid Films. 636: 339-345. https://- doi.org/10.1016/j.tsf.2017.05.020 doped ZnO nanocrystals also have an attractive optical responsiveness. Many theoretical and experimental studies showed that RE-doped ZnO could reportedly absorb ultravio- let (UV) light (Chakraborty et al. 2017). Obeid et al. (2019) prepared undoped and Gd-doped ZnO nanocrystalline samples using the thermal decomposition method. They observed that the optical absorption spectra of pristine ZnO increased with a 6% Gd doping concentration and the magnetic properties changed with changing dopant amounts. Their PL spectroscopy results showed the existence of defects, which increased with increasing Gd doping concentrations. They suggested that these DMS nanoparticles can be used for magneto-optoelectronic practical device applications. Undoubtedly, the RE-doped ZnO nanostructures have been intensively studied recently because this is a rapidly growing field due to their multi-functionality and their use in possible new generation applications. With an aim to understand the effect of Gd doping in ZnO in terms of its electronic and optical properties we have synthesize Gd-doped ZnO powder series of different Gd (0%, 2%, and 5%) values. Various characterization techniques have been utilized to explore the electronic, structural and optical features of the synthesized powder series. Gd doping into ZnO produced changes in the band gap and enhanced oxygen vacancies related states in the compound. Materials and methods The Gd-doped ZnO powder samples with varying Gd (0%, 2%, and 5%) concentrations have been synthesized using the conventional solid-state reaction method. A suitable amount of high-purity (99.999% Sigma-Aldrich) zinc oxide (ZnO) and gadolinium oxide (Gd2O3) powder have been used for their preparation. For achieving perfect homogeneity, the ingredients were properly pounded for ~8 hours in an agate mortar and pestle. The prepared material has been sintered for ~8h at~550°C and cooled at room temperature. Again, the mixture was ground for ~2 hours and sintered for ~6 hours at ~550°C. The mixture was milled for ~4 hours before being turned into pellets. Finally, these pellets were sintered for around ~8 hours at about ~600°C. Finally, we ground the pellets to make the powder. The powder form of the prepared samples has been used for further characterization. Characterization techniques The crystallographic structures of the samples have been explored using an X-ray diffractometer (Make: Panalytical X'Pert PRO) using the photon energy of Cu Kα (λ= 1.5406Å). SEM images have been used for the morphology study of the synthesized samples. The SEM equipment model RE elements, such as Gd, may introduce additional capabili- ties to the ZnO system because they may be capable of constructing combined practical devices on a single chip by combining magnetic and optical properties (Ohno et al. 1996; Tawil et al. 2011). Rare-earth (RE) metal doping in the dilute magnetic semiconductor (DMS) systems has recently received immense attention due to its potential usage in magneto electronic and photonic devices (Monteiro et al. 2006). The influence of Gd doping on the optical and electrical proper- ties of ZnO is crucial for developing optoelectronic devices and understanding the genesis of ferromagnetism. Ma and Wang (2012) synthesized the Gd-doped ZnO nanocrystals using the thermal evaporation deposition method. According to their findings, Gd doping has an appreciable impact on the optical characteristics of the ZnO. The strong UV and blue emissions are detected at low Gd concentrations because Gd impurities introduce a mid-gap state into ZnO. In compari- son, the UV and blue emissions reduce for high doping concentrations as a significant broad defect emission appears because of the vast numbers of defects, impurities, and excess Gd2O3 produced. Gd-doped ZnO nanocrystals can be used in optoelectronic devices. The optical and electrical tuning of the carrier density and optical band gap energy is essential for developing luminescent materials and equip- ment based on the ZnO DMS systems. The optical band gap and carrier concentration are essential parameters to yield information about the emission wavelength. Several develop- ment characteristics, like the synthesis methods, impurity concentration and substrate variety have been reported to influence these parameters (Wakano et al. 2001; Tan et al. 2011; Murtaza et al. 2011). The synthesis of DMS materials with unique optical, photo- catalytic and magnetic characteristics seems to be the most promising candidate for the subsequent generation of electronic, optoelectronic and spintronic appliances (Kumar and Sahare 2014). The low-dimension materials with imper- fection-free lattice structures have excellent electrical and magnetic characteristics; purposefully made or accidental structural defects play a significant role in altering their features (Li et al. 2016; Obeid et al. 2018). Thus, the presence of different kinds of cation or anion vacancies and intersti- tials in ZnO nanocrystals may change their magnetic proper- ties, photoluminescence, and photocatalytic properties (Coey et al. 2005). Although certain experimental and theoretical findings based on DFT indicate that Gd-doped ZnO exhibits the room temperature ferromagnetism (RTFM) (Potzger et al. 2006; Aravindh et al. 2014) property, several studies have demonstrated that the RTFM is not present (Sambasivam et al. 2015). In addition to their magnetic qualities, the 4f ions ETH 30 kV EVO-18 Carl Zeiss, with a tilt of 0° to 60° and a rotation of 360°, has been used for taking SEM images.The defect-related states and chemical analysis of the samples have been determined using X-ray photoelectron spectrosco- py. A hemispherical analyzer with a 128-channel detector and a monochromated, fully integrated K-alpha small-spot X-ray photoelectron spectrometer system of 180° double focusing is used in XPS (Thermo Scientific made). The UV-visible absorption spectroscopy (Model: Shimadzu UV-3600 UV-VIS-NIR Spectrophotometer) was used to explore the prepared samples' optical absorption and band gap. The measurements of UV-visible absorption spectra have been taken using the powder form of the samples. PL spectroscopy was used to analyze defect-related states in the prepared samples. Photoluminescence spectra have been recorded at room temperature using the fluorescence spectrometer (Model: Perkin Elmer FL 8500). Results and discussion XRD analysis Fig. 1. depicts the powder XRD patterns of the Gd-doped ZnO (Gd = 0%, 2%, and 5%) samples. All the diffraction peaks detected in the ZnO sample match with the standard JCPDS card number (36-1451). This confirms a hexagonal wurtzite crystal structure of the samples. The diffraction peaks were observed at 31.88°, 34.50°, 36.25°, 47.72°, 56.69°, 63.03°, 66.59°, 68.17°, and 69.35°, which are related to the planes (100), (002), (101), (102), (110), (103), (200), (112), and (201), respectively (Ganesh et al. 2018; Bharathi et al. 2020). Further, some additional small peaks have been observed at 28.61°, 33.21°, and 39.14° with increasing Gd doping. These secondary peaks represent- ing a crystallite phase have been identified as Gd2O3, which is well consistent with earlier reports (Das et al. 2012). As shown in Fig. 2, the highest intense peak related to the (101) plane shifted slightly higher angles with the increasing concentration of Gd doping. The shift is because of the substitution of bigger-sized Gd3+ (0.94 Å) ions than Zn2+ (0.74 Å) ions in the hexagonal wurtzite structure. The peak shift may indicate that Gd3+ ions have occupied the crystallo- graphic positions of Zn2+ ions in the ZnO host lattice, or itmay be because of the structural strain caused by the forma- tion of internal compressive micro stress (Dakhel and El-Hilo 2010; Kumar et al. 2014; Sahu et al. 2017). Rietveld refinements have been performed using the Full Prof Programme (shown in Fig. 3). The Pseudo-Voigt function has been used for Rietveld refinement of all the samples with the space group P63mc. The estimated lattice parameters have been listed in Table I. The lattice parameters are found to decrease with Gd doping, similar to those reported in earlier studies (Kaur et al. 2016; Obeid et al. 2019). The factors like the induced deficiencies (vacancies, interstitial) and the ionic radius of Zn and Gd ions can be responsible for the observed change (Kaur et al. 2016; Kumar and Thangavel 2017). SEM analysis Scanning electron micrographs have been used to analyze the morphology of the Gd-doped ZnO powder samples. The SEM images reveal a rod-like morphology in pure ZnO (Gora et al. 2022) and the Gd-doped ZnO polycrystalline samples with some proof of agglomeration and phase segre- gation, as depicted in Fig. 4 (a, b and c). Profound observa- tion of the particles exhibits that the crystallite size is above 100 nm. The particles were intensive and incompatibly distributed all over the mass. A distinct boundary between neighbouring crystallites can be noticed, despite the proxim- ity of these smaller crystallites. XPS analysis The XPS technique is an excellent tool for determining the surface chemistry and electron configuration of the various elements present in a multicomponent material. The carbon C1s peak (284.6 eV) has been used as a refer- ence to calibrate all the binding energies of the spectra. The survey spectrum of the Gd-doped ZnO samples is shown in Fig. 5. The survey spectra revealed the existence of O, Zn, and Gd elements without any impurity in the samples. For ZnO and 2% Gd-doped ZnO powder samples, the binding energies of the Zn2p3/2 and Zn2p1/2 peaks are found to be 1021.25 eV, 1044.25 eV, 1021.43 eV, and 1044.43 eV, respec- tively. However, for the 5% Gd-doped ZnO sample, these peaks are at 1021.83 and 1044.83 eV energy positions. The small shift could be assigned to the creation of Zn interstitials in ZnO upon Gd doping. The binding energy gap between the zinc doublet peaks has been found at about 23 eV. This indicates that Zn in the ZnO crystal structure is in the Zn2+ oxidation state (Khataee et al. 2015; Gawai et al. 2019) as the spin-orbital splitting of Zn2p is 23 eV. This difference does not change with the Gd doping pointing out that Gd doping has no discernible effect on the chemical position of ZnO. The O1s asymmetric XPS spectraare shown in Fig.7 (a) which is asymmetric in shape. The O1s XPS spectra of all these samples i.e. the ZnO, the Zn0.98Gd0.02O, and the Zn0.95Gd0.05O have been deconvoluted mainly into two Gauss- ian peaks, as shown in Fig. 7 (b, c, and d). The lower binding peaks for pure and Gd-doped ZnO (Gd = 2% and 5%) polycrystalline samples have been detected at 529.93 eV, 529.93 eV and 529.78 eV, respectively, which attributed to the lattice oxygen in the hexagonal structure of the ZnO. The higher binding peak for the pure and the Gd-doped ZnO samples have been found at 531.51 eV, 531.66 eV, and 531.49 eV, respectively, which is due to the presence of oxygen vacancies in the ZnO structure (Bharathi et al. 2020; Sukumaran et al. 2021). An additional signal centered at 528.29 eV has been detected in the 5% Gd-doped ZnO powder sample, which could be ascribed to the coordination of oxygen in Gd-O-Zn along grain boundaries because of the excessive Gd dopants and also attributed to the presence of Gd2O3 in the sample (Yi et al. 2017). The lattice oxygen peak has slightly shifted to the lower binding energy with increas- ing Gd concentration, which has been due to the increased oxygen vacancies with increasing Gd doping. The estimated area ratios of the oxygen vacancies peak and the lattice oxygen peak for the samples ZnO, Zn0.98Gd0.02O, and Zn0.95Gd0.05O comes out to be 0.53, 1.30, and 2.49, respectively. These results show that the oxygen vacancies increase with increas- ing Gd concentration. The Fig. 8 (a, b) depicts the high-resolution Gd4d XPS spectra of the Gd-doped samples.In the Gd4d state, the spin-orbit splatted peaks are at 144.6 eV for Gd4d3/2 and 139.6 eV for Gd4d5/2 for the 2% Gd-doped sample, whereas for the 5% Gd-doped ZnO sample, the spin-orbit splits at 145.5 eV for Gd4d3/2 and 139.7 eV for Gd4d5/2 as shown in Fig. 8 (a, b). This indicates that Gd is present in the Gd3+ state in the ZnO hexagonal structure. The shift in peak values of Gd4d3/2 and Gd4d5/2 from 144.6 eV and 139.6 eV, respective- ly; in the case of 2% Gd-doped sample to 145.5 eV and 139.7 eV, respectively, in the case of 5% Gd-doped sample. This shift in Gd4d peaks is ascribed to the electron transfer from plasmonics Gd to ZnO because of the strong electronic interaction (covalent bond) between Gd and the oxide (Ahmad et al. 2011; Wang et al. 2012; Bharathi et al. 2020). UV visible spectroscopy analysis The UV–Visible spectroscopy is a powerful tool for estimat- ing band gap of materials. UV–Vis absorbance spectra and tauc plots for the Gd-doped ZnO samples (Gd = 0% (Gora et al. 2022), 2%, and 5%) samples are shown in Figs.9 (a, b, c, and d). The spectra show a red shift with increasing Gd amount in the ZnO.The UV–Vis absorption intensity of the synthesized polycrystalline samples is found to reduce with the increasing Gd concentration (Mazhdi and Tafreshi 2018). Tauc's plot has been used to calculate the direct band gap of the samples (Jain et al. 2006). The direct band gap has been estimated using the following equation: Here, α is the absorption coefficient,υ is frequency, h is the Planck constant, A is a constant, and Eg is the energy band gap of the substance. Extrapolating the linear component of the curve plotted among (αhυ) 2 and hυ depicted in Fig. 9 (b, c, and d) has been used to obtain the band gap (Farhad et al. 2018; Ghos et al. 2021). The band gap values calculated for the Gd-doped ZnO samples, i.e.are 3.31 eV (Gora et al. 2022), 3.27 eV, and 3.23eV, for the samples Gd = 0%, 2% and 5%, respectively. The small redshift observed in the band gap of Gd-doped ZnO samples is because of the changes in electronic structure as well as enhanced oxygen vacancies with the increasing Gd doping (Yi et al. 2017; Flemban et al. 2016), which is respon- sible for the band gap reduction. Photoluminescence spectroscopy analysis The structural flaws like ionic and atomic vacancies, replace- ments and interstitials have been explored using the PL spectra of the synthesized polycrystalline samples. Fig. 10 (a, b and c) shows the deconvoluted, Gaussian-fitted PL spectra of the synthesized Gd-doped ZnO polycrystalline powder samples. The PL spectra of the samples were recorded at room temperature in order to determine the types of vacancies, defect band emission etc. (Lin et al. 2001; Yi et al. 2017). The photoluminescence spectra have been deconvoluted and the different peaks responsible for the emission have been Gaussian fitted. For these samples the band edge emission peaksare detected at 381 nm, 384 nm, and 383 nm, for the Gd = 0%, 2% and 5% samples, respectively. The UV emission is responsible for the excitonic interaction related to the band edge emission. The intense violet emission exhibited in the Gd-doped ZnO at about 415 nm could be because ofthe oxygen vacancies. The exciton interaction between the holes in the valence band and electrons located in the interstitial zinc could be responsible for the violet emission peak at about 447 nm. Intrinsic deficiencies like interstitial zinc and oxygen can be attributed to the peak at 477 nm (Singh et al. 2009; Kaur et al. 2016). The transformation between singly ionized oxygen deficiency and the photo-created holes (Ken- nedy et al. 2014) or the surface imperfection and electrons near the conduction band, might be responsible for the green emission peak seen for the Gd-doped ZnOat around 525 nm. The green emissions are commonly attributed to theoxygen vacancies (Studenikin et al. 1998). For Gd-doped ZnO polycrystalline powder samples, the intensity ratio of the green and ultra-violet emission peaks is found to be 0.090 for ZnO, 0.204 for the 2% Gd-doped ZnO, and 0.418 for the 5% Gd-doped ZnO. The defect-related emissions enhanced with increasing Gd doping in the ZnO indicate that a large number of deficiencies, such as oxygen vacancies, are most usually related to crystal deformation (Yi et al. 2017). The results reveal that the Gd doping enhances the Zni and Vo flaws. It could be attributed to structural deformation created by Gd atoms with different ionic sizes than Zn in the ZnO (Ban- dopadhyay and Mitra 2015; Sukumaran et al. 2021). Increas- ing Gd doping in ZnO indicates an increase in defect states, which matches well with the XPS results. We compared our PL results with Farhad et al. (2019), who prepared ZnO DC (drop casting) and ZnO nanorods. Their PL results detected the PL peak at 380 nm and a barely observable green-yellow emission peak; in our case, we find it at 381 nm for ZnO, 384 nm for 2% Gd-doped ZnO and 383 nm for the 5% Gd-doped ZnO polycrystalline sample. This peak represented ZnO's near band edge (NBE) transition because of free excitons recombinations and this PL property indicates high crystalline quality. The luminescent character- istics in the visible region are responsible for the different defects, like zinc interstitials (Zni), oxygen vacancies (Vo), etc., present in the ZnO crystal matrix. As a result, they reported that both ZnO (DC) and ZnO nanorods were found to be defect-free good crystalline and optical properties mate- rials. In our case, all the prepared Gd-doped ZnO powder samples have been found to be with single ionized oxygen vacancies, which are confirmed by the green emission peak at 525 nm in the PL spectra. Conclusion The Gd-doped ZnO powder samples were synthesized by the solid-state reaction method. The XRD patterns affirm that Gd has been successfully incorporated into the ZnO lattice and confirm the hexagonal wurtzite structure. SEM images have been used to reveal the morphologies of the synthesized samples, which appear as rod-like structures. The XPS results showed that the oxygen vacancy-related states in Gd-doped samples increased with increasing Gd doping. PL findings confirmed that the defect-related states are present in the Gd-doped ZnO polycrystalline samples. The green emission and ultra-violet emission peaks' intensity ratio is 0.418 for the 5% Gd-doped ZnO sample, which is the maxi- mum compared to the pure ZnO and 2% Gd-doped ZnO polycrystalline powder sample. These findings confirmed that the oxygen vacancies increase as the Gd concentration increases and the PL results agree well with the XPS results. The UV absorption spectra findings reveal that the band gap in the 5% Gd-doped ZnO sample is found to be 3.23 eV, which is the minimum compared to both the pure ZnO and the 2% Gd-doped ZnO samples, confirming that Eg is reduced with increasing Gd concentration. Acknowledgment The authors are thankful to USIC, University of Rajasthan, Jaipur, Rajasthan (India), for providing SEM images of the prepared samples. We also thank department of physics, BanasthaliVidhyapith, Banasthali, Jaipur, Rajasthan (India) for rendering XRD data. Funding sources This research is not financed by any agency. Authors' contribution Sample preparation, data analysis, manuscript composition and writing (Mahendra Kumar Gora); sample synthesis and data characterization (Arvind Kumar); data recording (Ban- wari Lal Choudhary); data analysis and interpretation (Sanjay Kumar); reviewing and editing (Satya NarainDolia); supervision, writing, reviewing and editing (Rishi Kumar Singhal). 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(2019) prepared undoped and Gd-doped ZnO nanocrystalline samples using the thermal decomposition method. They observed that the optical absorption spectra of pristine ZnO increased with a 6% Gd doping concentration and the magnetic properties changed with changing dopant amounts. Their PL spectroscopy results showed the existence of defects, which increased with increasing Gd doping concentrations. They suggested that these DMS nanoparticles can be used for magneto-optoelectronic practical device applications. Undoubtedly, the RE-doped ZnO nanostructures have been intensively studied recently because this is a rapidly growing field due to their multi-functionality and their use in possible new generation applications. With an aim to understand the effect of Gd doping in ZnO in terms of its electronic and optical properties we have synthesize Gd-doped ZnO powder series of different Gd (0%, 2%, and 5%) values. Various characterization techniques have been utilized to explore the electronic, structural and optical features of the synthesized powder series. Gd doping into ZnO produced changes in the band gap and enhanced oxygen vacancies related states in the compound. Materials and methods The Gd-doped ZnO powder samples with varying Gd (0%, 2%, and 5%) concentrations have been synthesized using the conventional solid-state reaction method. A suitable amount of high-purity (99.999% Sigma-Aldrich) zinc oxide (ZnO) and gadolinium oxide (Gd2O3) powder have been used for their preparation. For achieving perfect homogeneity, the ingredients were properly pounded for ~8 hours in an agate mortar and pestle. The prepared material has been sintered for ~8h at~550°C and cooled at room temperature. Again, the mixture was ground for ~2 hours and sintered for ~6 hours at ~550°C. The mixture was milled for ~4 hours before being turned into pellets. Finally, these pellets were sintered for around ~8 hours at about ~600°C. Finally, we ground the pellets to make the powder. The powder form of the prepared samples has been used for further characterization. Characterization techniques The crystallographic structures of the samples have been explored using an X-ray diffractometer (Make: Panalytical X'Pert PRO) using the photon energy of Cu Kα (λ= 1.5406Å). SEM images have been used for the morphology study of the synthesized samples. The SEM equipment model