AP08_6.vp 1 Introduction In a LOCA-type accident in atomic reactors, the cladding of the fuel cells is exposed to high temperature shock for several minutes, and it is vital to know possible changes in the material properties influencing the safety conduct. The aim of this work is to investigate the oxide layers formed by the thermal shock, and to compare their properties with the original pre-oxidized layers. 2 Samples In order to simulate LOCA conditions, samples of Zr1Nb and of Zry-4W pre-oxidized in steam at 425 °C for 360 days were exposed to 1200 °C in steam for 3 minutes. The oxide layer thickness increased from 33.3 �m to 78.8 �m for Zr1Nb, and from 35.3 �m to 78.7 �m for Zry-4W. On the metal- lographic section, the additionally grown oxide is of different color, and at the interface a very thin layer of metallic tin could be observed. Oxygen diffused into the underlying zir- conium with 30 % at the interface, and structural changes could be asserted down to 100 �m, Table 1. Tube specimens of 30 mm length and 9 mm outer diame- ter prepared from zirconium alloys were used. The properties of the pre-oxidized layers have been described in [1]. 3 Experimental The oxide at the end faces of the tubes was ground off for good contact. Painted-on contacts of colloidal silver 6.0 mm in diameter were used. The samples were mounted into a mini-thermostat for measurement at temperatures up to 180 °C. Details of the measuring procedure are given in [2]. The relative permittivity of 36 and 31 for the two samples, respectively, was very high, whereas the pre-oxidized forms had permittivity of only 20.5 and 17.2, respectively. The I-V characteristics were symmetrical, therefore only the forward voltage branch, with the positive terminal connected to the zirconium metal, was measured in voltage steps of 5 V up to 90 V, and at constant temperatures in steps of 20 °C up to 180 °C. Sample Zr1Nb had normal I-V characteristics with space- -charge limited currents given by I aU bU c� � �2 , (1) allowing computation of resistivity �, mobility � and carrier concentration n. 4 Results and discussion Further details concerning the theoretical aspects are given in [3, 4]. As an example the I-V characteristic at room temperature is shown in Fig. 1. At higher temperatures © Czech Technical University Publishing House http://ctn.cvut.cz/ap/ 27 Acta Polytechnica Vol. 48 No. 6/2008 Influence of Simulated LOCA on the Properties of Zircaloy Oxide Layers H. Frank Specimens of Zr1Nb and Zry-4W were pre-oxidized first for 360 days in steam at 425 °C and were then exposed for 3 min to 1200 °C in steam, simulating loss of coolant conditions. In this way, the oxide thickness was more than doubled. The I-V characteristics, measured up to 90 V at temperatures up to 180 °C, revealed the formation of double layers, consisting of dark monoclinic oxide with 1.3 eV activation energy near the metal, and of a whitish surface phase with only 0.5 eV, for both samples. The I-V characteristics of Zr1Nb showed normal behavior, whereas Zry-4W changed from an unusual sub-linear form at low temperatures and voltages to normal space-charge limited currents at higher temperatures and voltages. Observation of the injection and extraction currents in the Zry-4W sample showed abnormally high negative zero voltages produced by extraction after former injection. Keywords: Zirconium alloys, oxide layers, semiconductor doping conduction type, reduction semiconductor, anomalous I-V characteristics, space-charge limited currents, injection and extraction currents, temperature dependence of resistivity, activation energy Sample material number medium temperature (°C) time(min.) thickness (�m) 1a Zr1Nb 1744332 steam 1200 3 78.79 3a Zry-4W 3744337 steam 1200 3 78.74 Table 1: Characterization of Samples 0 10 20 30 40 50 60 70 0 20 40 60 80 100 voltage (V) c u rr e n t (p A ) Zr1Nb (1200), Ag, T (°C) 63 44 23 Fig. 1: Zr1Nb, I-V characteristics at 23, 44, 63°C, respectively the current values are higher, but the form remains un- changed. The temperature dependence of the resistivity, giv- ing E �1 30. eV, is shown in Fig. 2. The pre-oxidized layer has 1.30 eV and the oxide grown at high temperature (upper layer) has 0.54 eV activation energy. Sample Zry-4W behaved completely differently from Sam- ple Zr1Nb. As shown in Fig. 3a, the I-V characteristic at room temperature was sub-linear up to 50 V, i.e. it obeyed Eq. (1), though with negative coefficient a, and at higher voltages continued with a linear trend. With rising temperature the sub-linear part continually diminished, and the linear part gradually changed over to space-charge limited current (Fig. 3b), until this character prevailed completely at temperatures over 150 °C (Fig. 3c). The end point of sub-linear behavior decreased from 50 V at 23.5 °C to 20 V at 120 °C, respectively, with an indication of 10 V at 142 °C, and was not observed at temperatures over 150 °C. This behavior may be explained by the different proper- ties of the original pre-oxidized layer and the subsequent rap- idly grown top layer, thus creating a double layer with attrib- utes similar to p-n junctions. In steam at temperatures below 450 °C, the dark monoclinic oxide phase is formed with acti- vation energy of about 1.3 eV, which prevails at higher mea- suring temperatures and higher voltages. At temperatures over 450 °C, a whitish oxide is formed with low activation energy of 0.5 eV, determining the current flowing at, and near, room temperature. At the interface between the two oxide types there is a potential drop from 1.3 to 0.5 V, which influences the form of the I-V characteristics. Using Eq. (1), the coefficient a in the prevailing region of space-charge limited currents in the I-V characteristics deter- mines the mobility with sufficient precision, but the linear part represents only a small fraction of the characteristic, and coefficient b is loaded with high error. It is therefore better to compute the resistivity directly, using current readings near the origin at voltages below the onset of the influence of the space charge. Coefficient c is better determined at zero volt- age. Thus the temperature dependence of resistivity, plotted in Fig. 4 using values taken from the I-V characteristics mea- sured at 102, 120, 142, 159, and 180 °C, respectively, is well defined, but not so at lower temperatures. In order to fill this gap, the resistivity in Fig. 5 was determined by current mea- surement at constant 5 V with slowly rising temperature up to 100 °C, thus completing the inaccurate range under 100 °C in Fig. 4. 28 © Czech Technical University Publishing House http://ctn.cvut.cz/ap/ Acta Polytechnica Vol. 48 No. 6/2008 11 11.5 12 12.5 13 13.5 14 2 2.2 2.4 2.6 2.8 3 3.2 3.4 1000/T (K) lo g rh o (O h m c m ) 0.54 1.30 eV Zr1Nb (1200), Ag Fig. 2: Zr1Nb, temperature dependence of resistivity 0 5 10 15 20 0 20 40 60 80 100 voltage (V) c u rr e n t (p A ) Zry-4W (1200) Ag, 23.5°C a) -50 0 50 100 150 200 250 0 20 40 60 80 100 voltage (V) c u rr e n t (p A ) Zry-4W (1200), Ag, 102°C b) 0 2000 4000 6000 8000 10000 0 20 40 60 80 100 voltage (V) c u rr e n t (p A ) c) Zry-4W (1200), Ag Fig. 3: Zr1Nb, I-V characteristics changing with temperatures, a) 23.5 °C, b) 102 °C, c)180°C, respectively The observed negative zero current (without external volt- age) in Fig. 6 was due to extraction of the formerly injected charge, and was not caused by continued oxidation, which would have produced a positive ion current. At flow of current I, the resistance R of the layer and the input resistance Ri of the pico-amperemeter form a closed circuit, thus acting as a voltage source. It is defined by the sum of the voltage drops of the resistors, caused by current I, giving U I R Ri� �( ). This is an open-circuit voltage and can be assessed by compensating the current, or can be computed, if the resistance of the layer is known. The result shown in Fig. 7 is astonishing. The extremely high voltages up to 22 V are the consequence of former high injection at 90 V into the very thick oxide layer. The typical time dependence of injection and extraction currents is shown in Fig. 8. It takes long times to reach equilib- rium after applying the voltage, up to 30 min. The injected charge is stored and can be observed as a negative extraction current by short-circuiting the sample with the pico-ampere- meter, obeying a power law of the form I I t n� �0 , with the ex- ponent 1 0 5� �n . . The time integrals of the extraction and the negative injection current (minus the equilibrium cur- rent) are equal to the injected space charge, divided by the injection voltage, and define the capacity C/V of the layer. 5 Conclusions The changes provoked by high temperature shock are best seen by comparing their properties with those of the pre-oxi- dized samples, as shown in Table 2. The main difference consists in the formation of double layers of pre-oxidized grey monoclinic phase with high activa- © Czech Technical University Publishing House http://ctn.cvut.cz/ap/ 29 Acta Polytechnica Vol. 48 No. 6/2008 12.5 13 13.5 14 14.5 15 2.2 2.4 2.6 2.8 3 3.2 3.4 1000/T (K) lo g rh o (O h m c m ) Zry-4W (1200),Ag 1.06 eV Fig. 4: Zry-4W, resistivity at temperatures over 100 °C 13.6 13.8 14 14.2 14.4 14.6 14.8 15 2.6 2.8 3 3.2 3.4 1000/T (K)/ lo g rh o (O h m c m ) Zry-4W (1200), Ag 0.53 eV Fig. 5: Zry-4W, resistivity under 100 °C -100 -80 -60 -40 -20 0 0 50 100 150 200 temperature (°C) z e ro c u rr e n t (p A ) Zry-4W (1200) Ag Fig. 6: Zry-4W, negative zero current (extraction) 0 5 10 15 20 25 60 80 100 120 140 160 180 temperature (°C) z e ro v o lt a g e (V ) Zry-4W (1200), Ag Fig. 7: Zry-4W, negative zero voltage 0 0.5 1 1.5 2 2.5 3 3.5 1 2 3 4 log t (s) lo g I (p A ) Zry-4W (1200), Ag, 83°C injection extraction Fig. 8: Zry-4W, injection (at 75 V) and extraction at T � 83 °C tion energy (1.3 eV) and the subsequent growth at 1200 °C of a whitish phase of low activation energy (0.5 eV), thus acting as n� n structures. In Zr1Nb the alloyed Nb does not form active centers, and therefore the I-V characteristics are normal space-charge lim- ited current curves, whereas in Zry-4W there are active centers of Sn, Fe and Cr, which influence the I-V characteristics. Acknowledgments Support for this work from UJP, Praha a.s. and from the Grant MSM 680770015 is highly appreciated. Special thanks are due to Mrs. V. Vrtílková for preparing the specimens with measured thickness. References [1] Frank, H.: Influence of Oxidation Media on the Trans- port Properties of Thin Oxide Layers of Zirconium Al- loys. Acta Polytechnica, Vol. 47 (2007), No. 6, p. 36. [2] Frank, H.: J. Nucl. Mater., Vol. 340 (205), p. 119. [3] Mott, N. F., Guerney, R. W.: Electronic Processes in Ionic Crystals, Clarendon, Oxford, 1940. [4] Gould, R. D.: J. Appl. Phys., Vol. 53 (1982), p. 3353. Prof. RNDr. Helmar Frank, DrSc. phone: +420 2 2435 8655 fax: +420 2 2191 2407 e-mail: Helmar.Frank@fjfi.cvut.cz Department of Solid State Engineering Czech Technical University in Prague Faculty of Nuclear Sciences and Physical Engineering Trojanova 13 120 00 Prague 2, Czech Republic 30 © Czech Technical University Publishing House http://ctn.cvut.cz/ap/ Acta Polytechnica Vol. 48 No. 6/2008 Sample Zr1Nb Zry-4W steam at 425 °C 1200 °C 425 °C 1200 °C �r 18 36 11.5 31 � (�cm) 7×10 13 6.6×1013 2.5×1014 4×1014 E (eV) 1.3 1.3/0.5 1.4 1.1/0.5 C/V (�F/cm3) 3.9 – 1.0 0.9 Permittivity �r low high low high Resistivity � nearly equal twice higher Energy E 1.3 eV only change at 85 °C change at 85 °C Capacity C/V high – unchanged (lower) Table 2: Comparison of samples before and after thermal shock