id	sid	tid	token	lemma	pos
iajs-3957	1	1	153	153	NUM
iajs-3957	1	2	©	©	PROPN
iajs-3957	1	3	2025	2025	NUM
iajs-3957	1	4	the	the	DET
iajs-3957	1	5	author(s	author(s	NOUN
iajs-3957	1	6	)	)	PUNCT
iajs-3957	1	7	.	.	PUNCT
iajs-3957	2	1	published	publish	VERB
iajs-3957	2	2	by	by	ADP
iajs-3957	2	3	college	college	NOUN
iajs-3957	2	4	of	of	ADP
iajs-3957	2	5	education	education	NOUN
iajs-3957	2	6	for	for	ADP
iajs-3957	2	7	pure	pure	ADJ
iajs-3957	2	8	science	science	NOUN
iajs-3957	2	9	(	(	PUNCT
iajs-3957	2	10	ibn	ibn	PROPN
iajs-3957	2	11	al	al	PROPN
iajs-3957	2	12	-	-	PUNCT
iajs-3957	2	13	haitham	haitham	PROPN
iajs-3957	2	14	)	)	PUNCT
iajs-3957	2	15	,	,	PUNCT
iajs-3957	2	16	university	university	NOUN
iajs-3957	2	17	of	of	ADP
iajs-3957	2	18	baghdad	baghdad	PROPN
iajs-3957	2	19	.	.	PUNCT
iajs-3957	3	1	this	this	PRON
iajs-3957	3	2	is	be	AUX
iajs-3957	3	3	an	an	DET
iajs-3957	3	4	open	open	ADJ
iajs-3957	3	5	-	-	PUNCT
iajs-3957	3	6	access	access	NOUN
iajs-3957	3	7	article	article	NOUN
iajs-3957	3	8	distributed	distribute	VERB
iajs-3957	3	9	under	under	ADP
iajs-3957	3	10	the	the	DET
iajs-3957	3	11	terms	term	NOUN
iajs-3957	3	12	of	of	ADP
iajs-3957	3	13	the	the	DET
iajs-3957	3	14	creative	creative	ADJ
iajs-3957	3	15	commons	common	NOUN
iajs-3957	3	16	attribution	attribution	NOUN
iajs-3957	3	17	4.0	4.0	NUM
iajs-3957	3	18	international	international	ADJ
iajs-3957	3	19	license	license	NOUN
iajs-3957	3	20	the	the	DET
iajs-3957	3	21	effect	effect	NOUN
iajs-3957	3	22	of	of	ADP
iajs-3957	3	23	scattering	scatter	VERB
iajs-3957	3	24	of	of	ADP
iajs-3957	3	25	phonons	phonon	NOUN
iajs-3957	3	26	,	,	PUNCT
iajs-3957	3	27	size	size	NOUN
iajs-3957	3	28	and	and	CCONJ
iajs-3957	3	29	grain	grain	NOUN
iajs-3957	3	30	boundary	boundary	NOUN
iajs-3957	3	31	on	on	ADP
iajs-3957	3	32	electrical	electrical	ADJ
iajs-3957	3	33	properties	property	NOUN
iajs-3957	3	34	for	for	ADP
iajs-3957	3	35	ruthenium	ruthenium	NOUN
iajs-3957	3	36	nano	nano	NOUN
iajs-3957	3	37	metals	metal	NOUN
iajs-3957	3	38	reda	reda	PROPN
iajs-3957	3	39	f.	f.	PROPN
iajs-3957	3	40	hanon	hanon	PROPN
iajs-3957	3	41	almajedi1	almajedi1	PROPN
iajs-3957	4	1	*	*	PROPN
iajs-3957	4	2	,	,	PUNCT
iajs-3957	4	3	may	may	AUX
iajs-3957	4	4	a.	a.	PROPN
iajs-3957	4	5	s.	s.	PROPN
iajs-3957	4	6	mohammed2	mohammed2	PROPN
iajs-3957	4	7	,	,	PUNCT
iajs-3957	4	8	and	and	CCONJ
iajs-3957	4	9	haider	haider	PROPN
iajs-3957	4	10	fa	fa	PROPN
iajs-3957	4	11	.	.	PUNCT
iajs-3957	5	1	abdul	abdul	PROPN
iajs-3957	5	2	amir	amir	PROPN
iajs-3957	5	3	3	3	NUM
iajs-3957	5	4	1,2	1,2	NUM
iajs-3957	5	5	department	department	NOUN
iajs-3957	5	6	of	of	ADP
iajs-3957	5	7	physics	physics	PROPN
iajs-3957	5	8	,	,	PUNCT
iajs-3957	5	9	college	college	NOUN
iajs-3957	5	10	of	of	ADP
iajs-3957	5	11	education	education	NOUN
iajs-3957	5	12	for	for	ADP
iajs-3957	5	13	pure	pure	ADJ
iajs-3957	5	14	science	science	NOUN
iajs-3957	5	15	(	(	PUNCT
iajs-3957	5	16	ibn	ibn	PROPN
iajs-3957	5	17	al	al	PROPN
iajs-3957	5	18	-	-	PUNCT
iajs-3957	5	19	haitham	haitham	PROPN
iajs-3957	5	20	)	)	PUNCT
iajs-3957	5	21	,	,	PUNCT
iajs-3957	5	22	university	university	NOUN
iajs-3957	5	23	of	of	ADP
iajs-3957	5	24	baghdad	baghdad	PROPN
iajs-3957	5	25	,	,	PUNCT
iajs-3957	5	26	baghdad	baghdad	PROPN
iajs-3957	5	27	,	,	PUNCT
iajs-3957	5	28	iraq	iraq	PROPN
iajs-3957	5	29	.	.	PUNCT
iajs-3957	6	1	3university	3university	NUM
iajs-3957	6	2	of	of	ADP
iajs-3957	6	3	algoma	algoma	PROPN
iajs-3957	6	4	,	,	PUNCT
iajs-3957	6	5	canada	canada	PROPN
iajs-3957	6	6	.	.	PUNCT
iajs-3957	7	1	*	*	PUNCT
iajs-3957	7	2	corresponding	correspond	VERB
iajs-3957	7	3	author	author	NOUN
iajs-3957	7	4	.	.	PUNCT
iajs-3957	8	1	received	receive	VERB
iajs-3957	8	2	:	:	PUNCT
iajs-3957	8	3	11	11	NUM
iajs-3957	8	4	march	march	NOUN
iajs-3957	8	5	2024	2024	NUM
iajs-3957	8	6	accepted	accept	VERB
iajs-3957	8	7	:	:	PUNCT
iajs-3957	8	8	2	2	NUM
iajs-3957	8	9	june	june	PROPN
iajs-3957	8	10	2024	2024	NUM
iajs-3957	8	11	published	publish	VERB
iajs-3957	8	12	:	:	PUNCT
iajs-3957	8	13	20	20	NUM
iajs-3957	8	14	january	january	NOUN
iajs-3957	8	15	2025	2025	NUM
iajs-3957	8	16	doi.org/10.30526/38.1.3957	doi.org/10.30526/38.1.3957	NOUN
iajs-3957	8	17	abstract	abstract	ADV
iajs-3957	8	18	the	the	DET
iajs-3957	8	19	study	study	NOUN
iajs-3957	8	20	examines	examine	VERB
iajs-3957	8	21	the	the	DET
iajs-3957	8	22	impact	impact	NOUN
iajs-3957	8	23	of	of	ADP
iajs-3957	8	24	thickness	thickness	NOUN
iajs-3957	8	25	on	on	ADP
iajs-3957	8	26	the	the	DET
iajs-3957	8	27	electrical	electrical	ADJ
iajs-3957	8	28	resistance	resistance	NOUN
iajs-3957	8	29	of	of	ADP
iajs-3957	8	30	ruthenium	ruthenium	NOUN
iajs-3957	8	31	at	at	ADP
iajs-3957	8	32	room	room	NOUN
iajs-3957	8	33	temperature	temperature	NOUN
iajs-3957	8	34	.	.	PUNCT
iajs-3957	9	1	by	by	ADP
iajs-3957	9	2	applying	apply	VERB
iajs-3957	9	3	the	the	DET
iajs-3957	9	4	fuchs	fuch	NOUN
iajs-3957	9	5	-	-	PUNCT
iajs-3957	9	6	sondheier	sondheier	NOUN
iajs-3957	9	7	and	and	CCONJ
iajs-3957	9	8	mayadas	mayadas	PROPN
iajs-3957	9	9	shatzkces	shatzkce	NOUN
iajs-3957	9	10	models	model	NOUN
iajs-3957	9	11	,	,	PUNCT
iajs-3957	9	12	the	the	DET
iajs-3957	9	13	study	study	NOUN
iajs-3957	9	14	establishes	establish	VERB
iajs-3957	9	15	a	a	DET
iajs-3957	9	16	linear	linear	ADJ
iajs-3957	9	17	relationship	relationship	NOUN
iajs-3957	9	18	between	between	ADP
iajs-3957	9	19	thickness	thickness	NOUN
iajs-3957	9	20	and	and	CCONJ
iajs-3957	9	21	grain	grain	NOUN
iajs-3957	9	22	boundary	boundary	ADJ
iajs-3957	9	23	scattering	scattering	NOUN
iajs-3957	9	24	.	.	PUNCT
iajs-3957	10	1	the	the	DET
iajs-3957	10	2	m.s	m.s	PROPN
iajs-3957	10	3	.	.	PROPN
iajs-3957	10	4	model	model	PROPN
iajs-3957	10	5	is	be	AUX
iajs-3957	10	6	crucial	crucial	ADJ
iajs-3957	10	7	in	in	ADP
iajs-3957	10	8	calculating	calculate	VERB
iajs-3957	10	9	the	the	DET
iajs-3957	10	10	size	size	NOUN
iajs-3957	10	11	impact	impact	NOUN
iajs-3957	10	12	,	,	PUNCT
iajs-3957	10	13	accounting	account	VERB
iajs-3957	10	14	for	for	ADP
iajs-3957	10	15	all	all	DET
iajs-3957	10	16	types	type	NOUN
iajs-3957	10	17	of	of	ADP
iajs-3957	10	18	scattering	scatter	VERB
iajs-3957	10	19	affecting	affect	VERB
iajs-3957	10	20	grain	grain	NOUN
iajs-3957	10	21	boundaries	boundary	NOUN
iajs-3957	10	22	.	.	PUNCT
iajs-3957	11	1	on	on	ADP
iajs-3957	11	2	the	the	DET
iajs-3957	11	3	other	other	ADJ
iajs-3957	11	4	hand	hand	NOUN
iajs-3957	11	5	,	,	PUNCT
iajs-3957	11	6	the	the	DET
iajs-3957	11	7	f.s	f.s	PROPN
iajs-3957	11	8	.	.	PROPN
iajs-3957	11	9	model	model	NOUN
iajs-3957	11	10	focuses	focus	VERB
iajs-3957	11	11	on	on	ADP
iajs-3957	11	12	explaining	explain	VERB
iajs-3957	11	13	conduction	conduction	NOUN
iajs-3957	11	14	electron	electron	NOUN
iajs-3957	11	15	scattering	scattering	NOUN
iajs-3957	11	16	on	on	ADP
iajs-3957	11	17	material	material	NOUN
iajs-3957	11	18	surfaces	surface	NOUN
iajs-3957	11	19	,	,	PUNCT
iajs-3957	11	20	particularly	particularly	ADV
iajs-3957	11	21	on	on	ADP
iajs-3957	11	22	tiny	tiny	ADJ
iajs-3957	11	23	grains	grain	NOUN
iajs-3957	11	24	.	.	PUNCT
iajs-3957	12	1	the	the	DET
iajs-3957	12	2	study	study	NOUN
iajs-3957	12	3	's	's	PART
iajs-3957	12	4	equation	equation	NOUN
iajs-3957	12	5	,	,	PUNCT
iajs-3957	12	6	derived	derive	VERB
iajs-3957	12	7	from	from	ADP
iajs-3957	12	8	these	these	DET
iajs-3957	12	9	two	two	NUM
iajs-3957	12	10	models	model	NOUN
iajs-3957	12	11	,	,	PUNCT
iajs-3957	12	12	considers	consider	VERB
iajs-3957	12	13	surface	surface	NOUN
iajs-3957	12	14	scattering	scattering	NOUN
iajs-3957	12	15	and	and	CCONJ
iajs-3957	12	16	metal	metal	NOUN
iajs-3957	12	17	resistance	resistance	NOUN
iajs-3957	12	18	to	to	PART
iajs-3957	12	19	determine	determine	VERB
iajs-3957	12	20	an	an	DET
iajs-3957	12	21	experimental	experimental	ADJ
iajs-3957	12	22	thickness	thickness	NOUN
iajs-3957	12	23	that	that	PRON
iajs-3957	12	24	depends	depend	VERB
iajs-3957	12	25	on	on	ADP
iajs-3957	12	26	metal	metal	NOUN
iajs-3957	12	27	resistivity	resistivity	NOUN
iajs-3957	12	28	.	.	PUNCT
iajs-3957	13	1	the	the	DET
iajs-3957	13	2	boltzmann	boltzmann	PROPN
iajs-3957	13	3	equation	equation	NOUN
iajs-3957	13	4	can	can	AUX
iajs-3957	13	5	be	be	AUX
iajs-3957	13	6	utilized	utilize	VERB
iajs-3957	13	7	to	to	PART
iajs-3957	13	8	solve	solve	VERB
iajs-3957	13	9	this	this	DET
iajs-3957	13	10	equation	equation	NOUN
iajs-3957	13	11	.	.	PUNCT
iajs-3957	14	1	the	the	DET
iajs-3957	14	2	study	study	NOUN
iajs-3957	14	3	highlights	highlight	VERB
iajs-3957	14	4	the	the	DET
iajs-3957	14	5	significance	significance	NOUN
iajs-3957	14	6	of	of	ADP
iajs-3957	14	7	ruthenium	ruthenium	NOUN
iajs-3957	14	8	as	as	ADP
iajs-3957	14	9	a	a	DET
iajs-3957	14	10	common	common	ADJ
iajs-3957	14	11	component	component	NOUN
iajs-3957	14	12	of	of	ADP
iajs-3957	14	13	electrical	electrical	ADJ
iajs-3957	14	14	and	and	CCONJ
iajs-3957	14	15	electronic	electronic	ADJ
iajs-3957	14	16	circuits	circuit	NOUN
iajs-3957	14	17	in	in	ADP
iajs-3957	14	18	producing	produce	VERB
iajs-3957	14	19	electronic	electronic	ADJ
iajs-3957	14	20	chips	chip	NOUN
iajs-3957	14	21	due	due	ADP
iajs-3957	14	22	to	to	ADP
iajs-3957	14	23	its	its	PRON
iajs-3957	14	24	excellent	excellent	ADJ
iajs-3957	14	25	electrical	electrical	ADJ
iajs-3957	14	26	conductivity	conductivity	NOUN
iajs-3957	14	27	.	.	PUNCT
iajs-3957	15	1	keywords	keyword	NOUN
iajs-3957	15	2	:	:	PUNCT
iajs-3957	15	3	phonons	phonon	NOUN
iajs-3957	15	4	,	,	PUNCT
iajs-3957	15	5	electrical	electrical	ADJ
iajs-3957	15	6	properties	property	NOUN
iajs-3957	15	7	,	,	PUNCT
iajs-3957	15	8	size	size	NOUN
iajs-3957	15	9	,	,	PUNCT
iajs-3957	15	10	grain	grain	NOUN
iajs-3957	15	11	.	.	PUNCT
iajs-3957	16	1	1	1	X
iajs-3957	16	2	.	.	X
iajs-3957	16	3	introduction	introduction	NOUN
iajs-3957	16	4	ruthenium	ruthenium	NOUN
iajs-3957	16	5	(	(	PUNCT
iajs-3957	16	6	ru	ru	NOUN
iajs-3957	16	7	)	)	PUNCT
iajs-3957	16	8	is	be	AUX
iajs-3957	16	9	a	a	DET
iajs-3957	16	10	versatile	versatile	ADJ
iajs-3957	16	11	material	material	NOUN
iajs-3957	16	12	that	that	PRON
iajs-3957	16	13	finds	find	VERB
iajs-3957	16	14	applications	application	NOUN
iajs-3957	16	15	in	in	ADP
iajs-3957	16	16	various	various	ADJ
iajs-3957	16	17	fields	field	NOUN
iajs-3957	16	18	.	.	PUNCT
iajs-3957	17	1	in	in	ADP
iajs-3957	17	2	the	the	DET
iajs-3957	17	3	electronic	electronic	ADJ
iajs-3957	17	4	and	and	CCONJ
iajs-3957	17	5	electrical	electrical	ADJ
iajs-3957	17	6	industry	industry	NOUN
iajs-3957	17	7	,	,	PUNCT
iajs-3957	17	8	ru	ru	PROPN
iajs-3957	17	9	is	be	AUX
iajs-3957	17	10	used	use	VERB
iajs-3957	17	11	for	for	ADP
iajs-3957	17	12	the	the	DET
iajs-3957	17	13	production	production	NOUN
iajs-3957	17	14	of	of	ADP
iajs-3957	17	15	electronic	electronic	ADJ
iajs-3957	17	16	chips	chip	NOUN
iajs-3957	17	17	due	due	ADP
iajs-3957	17	18	to	to	ADP
iajs-3957	17	19	its	its	PRON
iajs-3957	17	20	excellent	excellent	ADJ
iajs-3957	17	21	electrical	electrical	ADJ
iajs-3957	17	22	conductivity	conductivity	NOUN
iajs-3957	17	23	.	.	PUNCT
iajs-3957	18	1	this	this	DET
iajs-3957	18	2	property	property	NOUN
iajs-3957	18	3	of	of	ADP
iajs-3957	18	4	ru	ru	PROPN
iajs-3957	18	5	can	can	AUX
iajs-3957	18	6	also	also	ADV
iajs-3957	18	7	be	be	AUX
iajs-3957	18	8	utilized	utilize	VERB
iajs-3957	18	9	in	in	ADP
iajs-3957	18	10	the	the	DET
iajs-3957	18	11	production	production	NOUN
iajs-3957	18	12	of	of	ADP
iajs-3957	18	13	solar	solar	ADJ
iajs-3957	18	14	cells	cell	NOUN
iajs-3957	18	15	to	to	PART
iajs-3957	18	16	generate	generate	VERB
iajs-3957	18	17	solar	solar	ADJ
iajs-3957	18	18	energy	energy	NOUN
iajs-3957	18	19	.	.	PUNCT
iajs-3957	19	1	it	it	PRON
iajs-3957	19	2	is	be	AUX
iajs-3957	19	3	worth	worth	ADJ
iajs-3957	19	4	noting	note	VERB
iajs-3957	19	5	that	that	SCONJ
iajs-3957	19	6	russian	russian	ADJ
iajs-3957	19	7	chemist	chemist	NOUN
iajs-3957	19	8	karl	karl	PROPN
iajs-3957	19	9	karlovich	karlovich	PROPN
iajs-3957	19	10	klaus	klaus	PROPN
iajs-3957	19	11	(	(	PUNCT
iajs-3957	19	12	1796	1796	NUM
iajs-3957	19	13	-	-	SYM
iajs-3957	19	14	1864	1864	NUM
iajs-3957	19	15	)	)	PUNCT
iajs-3957	19	16	discovered	discover	VERB
iajs-3957	19	17	ruthenium	ruthenium	NOUN
iajs-3957	19	18	.	.	PUNCT
iajs-3957	20	1	he	he	PRON
iajs-3957	20	2	provided	provide	VERB
iajs-3957	20	3	positive	positive	ADJ
iajs-3957	20	4	evidence	evidence	NOUN
iajs-3957	20	5	for	for	ADP
iajs-3957	20	6	new	new	ADJ
iajs-3957	20	7	elements	element	NOUN
iajs-3957	20	8	derived	derive	VERB
iajs-3957	20	9	from	from	ADP
iajs-3957	20	10	platinum	platinum	NOUN
iajs-3957	20	11	and	and	CCONJ
iajs-3957	20	12	suggested	suggest	VERB
iajs-3957	20	13	naming	name	VERB
iajs-3957	20	14	the	the	DET
iajs-3957	20	15	newly	newly	ADV
iajs-3957	20	16	discovered	discover	VERB
iajs-3957	20	17	element	element	NOUN
iajs-3957	20	18	(	(	PUNCT
iajs-3957	20	19	ruthenium	ruthenium	NOUN
iajs-3957	20	20	)	)	PUNCT
iajs-3957	20	21	after	after	ADP
iajs-3957	20	22	the	the	DET
iajs-3957	20	23	name	name	NOUN
iajs-3957	20	24	of	of	ADP
iajs-3957	20	25	the	the	DET
iajs-3957	20	26	ancient	ancient	ADJ
iajs-3957	20	27	russian	russian	ADJ
iajs-3957	20	28	country	country	NOUN
iajs-3957	20	29	(	(	PUNCT
iajs-3957	20	30	ruthenia	ruthenia	NOUN
iajs-3957	20	31	)	)	PUNCT
iajs-3957	20	32	(	(	PUNCT
iajs-3957	20	33	1	1	NUM
iajs-3957	20	34	)	)	PUNCT
iajs-3957	20	35	.	.	PUNCT
iajs-3957	21	1	when	when	SCONJ
iajs-3957	21	2	materials	material	NOUN
iajs-3957	21	3	are	be	AUX
iajs-3957	21	4	at	at	ADP
iajs-3957	21	5	the	the	DET
iajs-3957	21	6	nanoscale	nanoscale	NOUN
iajs-3957	21	7	level	level	NOUN
iajs-3957	21	8	,	,	PUNCT
iajs-3957	21	9	resistance	resistance	NOUN
iajs-3957	21	10	increases	increase	NOUN
iajs-3957	21	11	due	due	ADJ
iajs-3957	21	12	to	to	ADP
iajs-3957	21	13	more	more	ADJ
iajs-3957	21	14	scattering	scatter	VERB
iajs-3957	21	15	centers	center	NOUN
iajs-3957	21	16	that	that	PRON
iajs-3957	21	17	conduct	conduct	VERB
iajs-3957	21	18	electrons	electron	NOUN
iajs-3957	21	19	,	,	PUNCT
iajs-3957	21	20	primarily	primarily	ADV
iajs-3957	21	21	at	at	ADP
iajs-3957	21	22	the	the	DET
iajs-3957	21	23	boundaries	boundary	NOUN
iajs-3957	21	24	between	between	ADP
iajs-3957	21	25	grains	grain	NOUN
iajs-3957	21	26	and	and	CCONJ
iajs-3957	21	27	surfaces	surface	NOUN
iajs-3957	21	28	.	.	PUNCT
iajs-3957	22	1	as	as	SCONJ
iajs-3957	22	2	the	the	DET
iajs-3957	22	3	size	size	NOUN
iajs-3957	22	4	approaches	approach	VERB
iajs-3957	22	5	the	the	DET
iajs-3957	22	6	average	average	ADJ
iajs-3957	22	7	electron	electron	NOUN
iajs-3957	22	8	-	-	PUNCT
iajs-3957	22	9	free	free	ADJ
iajs-3957	22	10	route	route	NOUN
iajs-3957	22	11	,	,	PUNCT
iajs-3957	22	12	more	more	ADJ
iajs-3957	22	13	resistance	resistance	NOUN
iajs-3957	22	14	is	be	AUX
iajs-3957	22	15	observed	observe	VERB
iajs-3957	22	16	.	.	PUNCT
iajs-3957	23	1	electrons	electron	NOUN
iajs-3957	23	2	only	only	ADV
iajs-3957	23	3	collide	collide	VERB
iajs-3957	23	4	with	with	ADP
iajs-3957	23	5	surfaces	surface	NOUN
iajs-3957	23	6	and	and	CCONJ
iajs-3957	23	7	grain	grain	NOUN
iajs-3957	23	8	boundaries	boundary	NOUN
iajs-3957	23	9	at	at	ADP
iajs-3957	23	10	that	that	DET
iajs-3957	23	11	point	point	NOUN
iajs-3957	23	12	,	,	PUNCT
iajs-3957	23	13	becoming	become	VERB
iajs-3957	23	14	significant	significant	ADJ
iajs-3957	23	15	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
iajs-3957	23	16	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
iajs-3957	23	17	https://doi.org/10.30526/38.1.3501	https://doi.org/10.30526/38.1.3501	PROPN
iajs-3957	24	1	https://orcid.org/0009-0002-5009-5872	https://orcid.org/0009-0002-5009-5872	PROPN
iajs-3957	24	2	mailto:reda.hanon1704b@ihcoedu.uobaghdad.edu.iq	mailto:reda.hanon1704b@ihcoedu.uobaghdad.edu.iq	PROPN
iajs-3957	24	3	https://orcid.org/0000-0003-3883-402x	https://orcid.org/0000-0003-3883-402x	NOUN
iajs-3957	24	4	mailto:may.as@ihcoedu.uobaghdad.edu.iq	mailto:may.as@ihcoedu.uobaghdad.edu.iq	ADJ
iajs-3957	24	5	https://orcid.org/0009-0003-5974-1444	https://orcid.org/0009-0003-5974-1444	PROPN
iajs-3957	24	6	mailto:haider@salam.uitm.edu.my	mailto:haider@salam.uitm.edu.my	PROPN
iajs-3957	24	7	ihjpas	ihjpa	NOUN
iajs-3957	24	8	.	.	PUNCT
iajs-3957	25	1	2025	2025	NUM
iajs-3957	25	2	,	,	PUNCT
iajs-3957	25	3	38	38	NUM
iajs-3957	25	4	(	(	PUNCT
iajs-3957	25	5	1	1	NUM
iajs-3957	25	6	)	)	PUNCT
iajs-3957	25	7	154	154	NUM
iajs-3957	25	8	compared	compare	VERB
iajs-3957	25	9	to	to	ADP
iajs-3957	25	10	their	their	PRON
iajs-3957	25	11	collision	collision	NOUN
iajs-3957	25	12	with	with	ADP
iajs-3957	25	13	other	other	ADJ
iajs-3957	25	14	lattice	lattice	NOUN
iajs-3957	25	15	errors	error	NOUN
iajs-3957	25	16	such	such	ADJ
iajs-3957	25	17	as	as	ADP
iajs-3957	25	18	impurities	impurity	NOUN
iajs-3957	25	19	,	,	PUNCT
iajs-3957	25	20	point	point	VERB
iajs-3957	25	21	defects	defect	NOUN
iajs-3957	25	22	,	,	PUNCT
iajs-3957	25	23	and	and	CCONJ
iajs-3957	25	24	vacancies	vacancy	NOUN
iajs-3957	25	25	.	.	PUNCT
iajs-3957	26	1	understanding	understand	VERB
iajs-3957	26	2	the	the	DET
iajs-3957	26	3	difference	difference	NOUN
iajs-3957	26	4	between	between	ADP
iajs-3957	26	5	surface	surface	NOUN
iajs-3957	26	6	and	and	CCONJ
iajs-3957	26	7	grain	grain	NOUN
iajs-3957	26	8	boundary	boundary	ADJ
iajs-3957	26	9	contributions	contribution	NOUN
iajs-3957	26	10	is	be	AUX
iajs-3957	26	11	essential	essential	ADJ
iajs-3957	26	12	when	when	SCONJ
iajs-3957	26	13	studying	study	VERB
iajs-3957	26	14	the	the	DET
iajs-3957	26	15	resistive	resistive	ADJ
iajs-3957	26	16	behavior	behavior	NOUN
iajs-3957	26	17	of	of	ADP
iajs-3957	26	18	polycrystalline	polycrystalline	ADJ
iajs-3957	26	19	thin	thin	ADJ
iajs-3957	26	20	films	film	NOUN
iajs-3957	26	21	(	(	PUNCT
iajs-3957	26	22	2	2	NUM
iajs-3957	26	23	)	)	PUNCT
iajs-3957	26	24	.	.	PUNCT
iajs-3957	27	1	theoretical	theoretical	ADJ
iajs-3957	27	2	studies	study	NOUN
iajs-3957	27	3	estimate	estimate	VERB
iajs-3957	27	4	the	the	DET
iajs-3957	27	5	size	size	NOUN
iajs-3957	27	6	effect	effect	NOUN
iajs-3957	27	7	by	by	ADP
iajs-3957	27	8	applying	apply	VERB
iajs-3957	27	9	the	the	DET
iajs-3957	27	10	f.s	f.s	PROPN
iajs-3957	27	11	.	.	PROPN
iajs-3957	27	12	model	model	NOUN
iajs-3957	27	13	to	to	ADP
iajs-3957	27	14	surface	surface	NOUN
iajs-3957	27	15	electron	electron	NOUN
iajs-3957	27	16	dispersion	dispersion	NOUN
iajs-3957	27	17	,	,	PUNCT
iajs-3957	27	18	characterized	characterize	VERB
iajs-3957	27	19	by	by	ADP
iajs-3957	27	20	the	the	DET
iajs-3957	27	21	surface	surface	NOUN
iajs-3957	27	22	effect	effect	NOUN
iajs-3957	27	23	coefficient	coefficient	NOUN
iajs-3957	27	24	(	(	PUNCT
iajs-3957	27	25	p	p	NOUN
iajs-3957	27	26	)	)	PUNCT
iajs-3957	27	27	,	,	PUNCT
iajs-3957	27	28	and	and	CCONJ
iajs-3957	27	29	the	the	DET
iajs-3957	27	30	m.s	m.s	PROPN
iajs-3957	27	31	.	.	PUNCT
iajs-3957	28	1	(	(	PUNCT
iajs-3957	28	2	3	3	NUM
iajs-3957	28	3	)	)	PUNCT
iajs-3957	28	4	.	.	PUNCT
iajs-3957	29	1	it	it	PRON
iajs-3957	29	2	is	be	AUX
iajs-3957	29	3	observed	observe	VERB
iajs-3957	29	4	that	that	SCONJ
iajs-3957	29	5	electrical	electrical	ADJ
iajs-3957	29	6	resistivity	resistivity	NOUN
iajs-3957	29	7	increases	increase	NOUN
iajs-3957	29	8	as	as	SCONJ
iajs-3957	29	9	thickness	thickness	NOUN
iajs-3957	29	10	decreases	decrease	NOUN
iajs-3957	29	11	because	because	SCONJ
iajs-3957	29	12	resistivity	resistivity	NOUN
iajs-3957	29	13	thickness	thickness	NOUN
iajs-3957	29	14	depends	depend	VERB
iajs-3957	29	15	on	on	ADP
iajs-3957	29	16	fermi	fermi	NOUN
iajs-3957	29	17	surface	surface	NOUN
iajs-3957	29	18	area	area	NOUN
iajs-3957	29	19	values	value	NOUN
iajs-3957	29	20	and	and	CCONJ
iajs-3957	29	21	metalfree	metalfree	ADJ
iajs-3957	29	22	paths	path	NOUN
iajs-3957	29	23	(	(	PUNCT
iajs-3957	29	24	4,5	4,5	NUM
iajs-3957	29	25	)	)	PUNCT
iajs-3957	29	26	.	.	PUNCT
iajs-3957	30	1	the	the	DET
iajs-3957	30	2	uneven	uneven	ADJ
iajs-3957	30	3	surface	surface	NOUN
iajs-3957	30	4	of	of	ADP
iajs-3957	30	5	the	the	DET
iajs-3957	30	6	grain	grain	NOUN
iajs-3957	30	7	boundary	boundary	ADJ
iajs-3957	30	8	reflection	reflection	NOUN
iajs-3957	30	9	in	in	ADP
iajs-3957	30	10	the	the	DET
iajs-3957	30	11	f.s	f.s	PROPN
iajs-3957	30	12	.	.	PROPN
iajs-3957	30	13	and	and	CCONJ
iajs-3957	30	14	m.s	m.s	PROPN
iajs-3957	30	15	.	.	PROPN
iajs-3957	30	16	models	model	NOUN
iajs-3957	30	17	allows	allow	VERB
iajs-3957	30	18	for	for	ADP
iajs-3957	30	19	the	the	DET
iajs-3957	30	20	identification	identification	NOUN
iajs-3957	30	21	of	of	ADP
iajs-3957	30	22	different	different	ADJ
iajs-3957	30	23	metals	metal	NOUN
iajs-3957	30	24	.	.	PUNCT
iajs-3957	31	1	to	to	PART
iajs-3957	31	2	match	match	VERB
iajs-3957	31	3	the	the	DET
iajs-3957	31	4	f.s	f.s	NOUN
iajs-3957	31	5	.	.	PROPN
iajs-3957	32	1	and	and	CCONJ
iajs-3957	32	2	m.s	m.s	PROPN
iajs-3957	32	3	.	.	PROPN
iajs-3957	32	4	theories	theory	NOUN
iajs-3957	32	5	to	to	ADP
iajs-3957	32	6	the	the	DET
iajs-3957	32	7	experimental	experimental	ADJ
iajs-3957	32	8	data	datum	NOUN
iajs-3957	32	9	,	,	PUNCT
iajs-3957	32	10	a	a	DET
iajs-3957	32	11	simple	simple	ADJ
iajs-3957	32	12	equation	equation	NOUN
iajs-3957	32	13	was	be	AUX
iajs-3957	32	14	developed	develop	VERB
iajs-3957	32	15	.	.	PUNCT
iajs-3957	33	1	this	this	DET
iajs-3957	33	2	equation	equation	NOUN
iajs-3957	33	3	enables	enable	VERB
iajs-3957	33	4	quick	quick	ADV
iajs-3957	33	5	fitting	fitting	ADJ
iajs-3957	33	6	of	of	ADP
iajs-3957	33	7	the	the	DET
iajs-3957	33	8	two	two	NUM
iajs-3957	33	9	-	-	PUNCT
iajs-3957	33	10	theory	theory	NOUN
iajs-3957	33	11	model	model	NOUN
iajs-3957	33	12	to	to	ADP
iajs-3957	33	13	the	the	DET
iajs-3957	33	14	experimental	experimental	ADJ
iajs-3957	33	15	data(6	data(6	PROPN
iajs-3957	33	16	)	)	PUNCT
iajs-3957	33	17	.	.	PUNCT
iajs-3957	34	1	2	2	X
iajs-3957	34	2	.	.	X
iajs-3957	34	3	materials	material	NOUN
iajs-3957	34	4	and	and	CCONJ
iajs-3957	34	5	methods	method	NOUN
iajs-3957	34	6	the	the	DET
iajs-3957	34	7	grain	grain	NOUN
iajs-3957	34	8	boundary	boundary	ADJ
iajs-3957	34	9	reflection	reflection	NOUN
iajs-3957	34	10	coefficient	coefficient	NOUN
iajs-3957	34	11	(	(	PUNCT
iajs-3957	34	12	r	r	NOUN
iajs-3957	34	13	)	)	PUNCT
iajs-3957	34	14	represents	represent	VERB
iajs-3957	34	15	the	the	DET
iajs-3957	34	16	limit	limit	NOUN
iajs-3957	34	17	of	of	ADP
iajs-3957	34	18	electron	electron	NOUN
iajs-3957	34	19	scattering(3	scattering(3	PROPN
iajs-3957	34	20	)	)	PUNCT
iajs-3957	34	21	.	.	PUNCT
iajs-3957	35	1	moreover	moreover	ADV
iajs-3957	35	2	,	,	PUNCT
iajs-3957	35	3	the	the	DET
iajs-3957	35	4	statistical	statistical	ADJ
iajs-3957	35	5	study	study	NOUN
iajs-3957	35	6	of	of	ADP
iajs-3957	35	7	the	the	DET
iajs-3957	35	8	conduction	conduction	NOUN
iajs-3957	35	9	electron	electron	NOUN
iajs-3957	35	10	distribution	distribution	NOUN
iajs-3957	35	11	created	create	VERB
iajs-3957	35	12	by	by	ADP
iajs-3957	35	13	varying	vary	VERB
iajs-3957	35	14	the	the	DET
iajs-3957	35	15	collision	collision	NOUN
iajs-3957	35	16	mechanism	mechanism	NOUN
iajs-3957	35	17	's	's	PART
iajs-3957	35	18	enforced	enforce	VERB
iajs-3957	35	19	rate	rate	NOUN
iajs-3957	35	20	of	of	ADP
iajs-3957	35	21	change	change	NOUN
iajs-3957	35	22	forms	form	VERB
iajs-3957	35	23	the	the	DET
iajs-3957	35	24	basis	basis	NOUN
iajs-3957	35	25	of	of	ADP
iajs-3957	35	26	the	the	DET
iajs-3957	35	27	(	(	PUNCT
iajs-3957	35	28	f.s	f.s	PROPN
iajs-3957	35	29	.	.	PROPN
iajs-3957	35	30	)	)	PUNCT
iajs-3957	35	31	and	and	CCONJ
iajs-3957	35	32	(	(	PUNCT
iajs-3957	35	33	m.s	m.s	PROPN
iajs-3957	35	34	.	.	PROPN
iajs-3957	35	35	)	)	PUNCT
iajs-3957	35	36	theories	theory	NOUN
iajs-3957	35	37	.	.	PUNCT
iajs-3957	36	1	when	when	SCONJ
iajs-3957	36	2	two	two	NUM
iajs-3957	36	3	fields	field	NOUN
iajs-3957	36	4	,	,	PUNCT
iajs-3957	36	5	an	an	DET
iajs-3957	36	6	electric	electric	ADJ
iajs-3957	36	7	field	field	NOUN
iajs-3957	36	8	(	(	PUNCT
iajs-3957	36	9	e	e	NOUN
iajs-3957	36	10	)	)	PUNCT
iajs-3957	36	11	and	and	CCONJ
iajs-3957	36	12	a	a	DET
iajs-3957	36	13	magnetic	magnetic	ADJ
iajs-3957	36	14	field	field	NOUN
iajs-3957	36	15	(	(	PUNCT
iajs-3957	36	16	h	h	NOUN
iajs-3957	36	17	)	)	PUNCT
iajs-3957	36	18	,	,	PUNCT
iajs-3957	36	19	exist	exist	VERB
iajs-3957	36	20	simultaneously	simultaneously	ADV
iajs-3957	36	21	,	,	PUNCT
iajs-3957	36	22	boltzmann	boltzmann	PROPN
iajs-3957	36	23	's	's	PART
iajs-3957	36	24	equation	equation	NOUN
iajs-3957	36	25	takes	take	VERB
iajs-3957	36	26	the	the	DET
iajs-3957	36	27	following	follow	VERB
iajs-3957	36	28	form(7	form(7	NOUN
iajs-3957	36	29	-	-	PUNCT
iajs-3957	36	30	9	9	NUM
iajs-3957	36	31	):	):	PUNCT
iajs-3957	36	32	−	−	PROPN
iajs-3957	36	33	e	e	PROPN
iajs-3957	36	34	m∗	m∗	NOUN
iajs-3957	36	35	(	(	PUNCT
iajs-3957	36	36	v̅	v̅	X
iajs-3957	36	37	+	+	NUM
iajs-3957	36	38	h̅	h̅	PROPN
iajs-3957	36	39	+	+	CCONJ
iajs-3957	36	40	e̅	e̅	PROPN
iajs-3957	36	41	)	)	PUNCT
iajs-3957	36	42	.	.	PUNCT
iajs-3957	37	1	grad	grad	ADJ
iajs-3957	37	2	v̅	v̅	PROPN
iajs-3957	37	3	f	f	PROPN
iajs-3957	37	4	+	+	CCONJ
iajs-3957	37	5	v̅	v̅	NOUN
iajs-3957	37	6	.	.	PUNCT
iajs-3957	38	1	grad	grad	ADJ
iajs-3957	38	2	r	r	NOUN
iajs-3957	38	3	̅	̅	NOUN
iajs-3957	38	4	f	f	X
iajs-3957	38	5	=	=	PUNCT
iajs-3957	38	6	(	(	PUNCT
iajs-3957	38	7	∂f	∂f	PROPN
iajs-3957	38	8	∂t	∂t	PROPN
iajs-3957	38	9	)	)	PUNCT
iajs-3957	38	10	coll	coll	PROPN
iajs-3957	38	11	.	.	PUNCT
iajs-3957	39	1	=	=	PUNCT
iajs-3957	40	1	−	−	PROPN
iajs-3957	40	2	f	f	X
iajs-3957	40	3	−	−	PROPN
iajs-3957	41	1	f0	f0	PROPN
iajs-3957	41	2	τ	τ	X
iajs-3957	41	3	(	(	PUNCT
iajs-3957	41	4	1	1	NUM
iajs-3957	41	5	)	)	PUNCT
iajs-3957	41	6	f1(v	f1(v	PROPN
iajs-3957	41	7	,	,	PUNCT
iajs-3957	41	8	z	z	NOUN
iajs-3957	41	9	)	)	PUNCT
iajs-3957	41	10	=	=	PUNCT
iajs-3957	41	11	e	e	NOUN
iajs-3957	41	12	e	e	NOUN
iajs-3957	41	13	τ0	τ0	NOUN
iajs-3957	41	14	m∗	m∗	VERB
iajs-3957	41	15	∂f0	∂f0	PROPN
iajs-3957	41	16	∂vx	∂vx	PROPN
iajs-3957	41	17	[	[	X
iajs-3957	41	18	1	1	NUM
iajs-3957	41	19	+	+	CCONJ
iajs-3957	41	20	f(v)exp	f(v)exp	PROPN
iajs-3957	41	21	(	(	PUNCT
iajs-3957	41	22	−z	−z	NOUN
iajs-3957	41	23	τ0	τ0	NOUN
iajs-3957	41	24	vz	vz	NOUN
iajs-3957	41	25	)	)	PUNCT
iajs-3957	41	26	]	]	PUNCT
iajs-3957	42	1	(	(	PUNCT
iajs-3957	42	2	2	2	X
iajs-3957	42	3	)	)	PUNCT
iajs-3957	42	4	in	in	ADP
iajs-3957	42	5	this	this	DET
iajs-3957	42	6	context	context	NOUN
iajs-3957	42	7	,	,	PUNCT
iajs-3957	42	8	f0	f0	PROPN
iajs-3957	42	9	represents	represent	VERB
iajs-3957	42	10	the	the	DET
iajs-3957	42	11	fermi	fermi	NOUN
iajs-3957	42	12	dirac	dirac	NOUN
iajs-3957	42	13	function	function	NOUN
iajs-3957	42	14	,	,	PUNCT
iajs-3957	42	15	while	while	SCONJ
iajs-3957	42	16	f	f	PROPN
iajs-3957	42	17	represents	represent	VERB
iajs-3957	42	18	the	the	DET
iajs-3957	42	19	distribution	distribution	NOUN
iajs-3957	42	20	function	function	NOUN
iajs-3957	42	21	of	of	ADP
iajs-3957	42	22	the	the	DET
iajs-3957	42	23	charge	charge	NOUN
iajs-3957	42	24	carriers	carrier	NOUN
iajs-3957	42	25	.	.	PUNCT
iajs-3957	43	1	meanwhile	meanwhile	ADV
iajs-3957	43	2	,	,	PUNCT
iajs-3957	43	3	τ	τ	PROPN
iajs-3957	43	4	represents	represent	VERB
iajs-3957	43	5	the	the	DET
iajs-3957	43	6	relaxation	relaxation	NOUN
iajs-3957	43	7	time	time	NOUN
iajs-3957	43	8	,	,	PUNCT
iajs-3957	43	9	e	e	PRON
iajs-3957	43	10	represents	represent	VERB
iajs-3957	43	11	the	the	DET
iajs-3957	43	12	charge	charge	NOUN
iajs-3957	43	13	of	of	ADP
iajs-3957	43	14	the	the	DET
iajs-3957	43	15	electron	electron	NOUN
iajs-3957	43	16	,	,	PUNCT
iajs-3957	43	17	m	m	VERB
iajs-3957	43	18	*	*	VERB
iajs-3957	43	19	represents	represent	VERB
iajs-3957	43	20	the	the	DET
iajs-3957	43	21	effective	effective	ADJ
iajs-3957	43	22	electron	electron	NOUN
iajs-3957	43	23	mass	mass	NOUN
iajs-3957	43	24	,	,	PUNCT
iajs-3957	43	25	t	t	PROPN
iajs-3957	43	26	represents	represent	VERB
iajs-3957	43	27	the	the	DET
iajs-3957	43	28	integration	integration	NOUN
iajs-3957	43	29	variable	variable	NOUN
iajs-3957	43	30	,	,	PUNCT
iajs-3957	43	31	and	and	CCONJ
iajs-3957	43	32	v	v	NOUN
iajs-3957	43	33	represents	represent	VERB
iajs-3957	43	34	the	the	DET
iajs-3957	43	35	electron	electron	NOUN
iajs-3957	43	36	velocity	velocity	NOUN
iajs-3957	43	37	.	.	PUNCT
iajs-3957	44	1	it	it	PRON
iajs-3957	44	2	is	be	AUX
iajs-3957	44	3	worth	worth	ADJ
iajs-3957	44	4	noting	note	VERB
iajs-3957	44	5	that	that	SCONJ
iajs-3957	44	6	two	two	NUM
iajs-3957	44	7	electron	electron	NOUN
iajs-3957	44	8	distribution	distribution	NOUN
iajs-3957	44	9	functions	function	NOUN
iajs-3957	44	10	exist	exist	VERB
iajs-3957	44	11	:	:	PUNCT
iajs-3957	44	12	one	one	NUM
iajs-3957	44	13	with	with	ADP
iajs-3957	44	14	vz	vz	PROPN
iajs-3957	44	15	>	>	X
iajs-3957	44	16	0	0	PROPN
iajs-3957	44	17	and	and	CCONJ
iajs-3957	44	18	another	another	PRON
iajs-3957	44	19	with	with	ADP
iajs-3957	44	20	f1for	f1for	ADP
iajs-3957	44	21	electrons	electron	NOUN
iajs-3957	44	22	with	with	ADP
iajs-3957	44	23	vz	vz	PROPN
iajs-3957	44	24	<	<	X
iajs-3957	44	25	0.(9,10	0.(9,10	PROPN
iajs-3957	44	26	)	)	PUNCT
iajs-3957	44	27	f1	f1	NOUN
iajs-3957	44	28	+	+	PROPN
iajs-3957	44	29	(	(	PUNCT
iajs-3957	44	30	v	v	NOUN
iajs-3957	44	31	,	,	PUNCT
iajs-3957	44	32	z	z	NOUN
iajs-3957	44	33	)	)	PUNCT
iajs-3957	44	34	=	=	PUNCT
iajs-3957	44	35	e	e	NOUN
iajs-3957	44	36	e	e	NOUN
iajs-3957	44	37	τ0	τ0	NOUN
iajs-3957	44	38	m∗	m∗	VERB
iajs-3957	44	39	∂f	∂f	PROPN
iajs-3957	44	40	∂vx	∂vx	PROPN
iajs-3957	44	41	{	{	PUNCT
iajs-3957	44	42	1	1	NUM
iajs-3957	44	43	−	−	PROPN
iajs-3957	44	44	exp	exp	NOUN
iajs-3957	44	45	(	(	PUNCT
iajs-3957	44	46	−z	−z	NOUN
iajs-3957	44	47	τ0vz	τ0vz	PUNCT
iajs-3957	44	48	)	)	PUNCT
iajs-3957	44	49	}	}	PUNCT
iajs-3957	44	50	vz	vz	NOUN
iajs-3957	44	51	>	>	X
iajs-3957	44	52	0	0	PUNCT
iajs-3957	45	1	(	(	PUNCT
iajs-3957	45	2	3	3	NUM
iajs-3957	45	3	)	)	PUNCT
iajs-3957	45	4	f1	f1	NOUN
iajs-3957	45	5	−(v	−(v	NOUN
iajs-3957	45	6	,	,	PUNCT
iajs-3957	45	7	z	z	NOUN
iajs-3957	45	8	)	)	PUNCT
iajs-3957	45	9	=	=	PUNCT
iajs-3957	46	1	e	e	NOUN
iajs-3957	46	2	e	e	NOUN
iajs-3957	46	3	τ0	τ0	NOUN
iajs-3957	46	4	m∗	m∗	VERB
iajs-3957	46	5	∂f0	∂f0	PROPN
iajs-3957	46	6	∂vx	∂vx	NOUN
iajs-3957	46	7	{	{	PUNCT
iajs-3957	46	8	1	1	NUM
iajs-3957	46	9	−	−	PROPN
iajs-3957	46	10	exp	exp	NOUN
iajs-3957	46	11	(	(	PUNCT
iajs-3957	46	12	d	d	NOUN
iajs-3957	46	13	−	−	PROPN
iajs-3957	46	14	z	z	NOUN
iajs-3957	46	15	τ0vz	τ0vz	PUNCT
iajs-3957	46	16	)	)	PUNCT
iajs-3957	46	17	}	}	PUNCT
iajs-3957	46	18	vz	vz	X
iajs-3957	46	19	<	<	X
iajs-3957	46	20	0	0	PUNCT
iajs-3957	46	21	(	(	PUNCT
iajs-3957	46	22	4	4	NUM
iajs-3957	46	23	)	)	PUNCT
iajs-3957	46	24	j(z	j(z	PROPN
iajs-3957	46	25	)	)	PUNCT
iajs-3957	46	26	=	=	SYM
iajs-3957	47	1	−2	−2	NOUN
iajs-3957	47	2	e	e	X
iajs-3957	47	3	(	(	PUNCT
iajs-3957	47	4	m∗	m∗	PROPN
iajs-3957	47	5	h	h	NOUN
iajs-3957	47	6	)	)	PUNCT
iajs-3957	47	7	3	3	NUM
iajs-3957	47	8	∫	∫	PROPN
iajs-3957	47	9	∫	∫	PROPN
iajs-3957	47	10	∫	∫	PROPN
iajs-3957	47	11	vx	vx	PROPN
iajs-3957	47	12	f1	f1	PROPN
iajs-3957	47	13	dvx	dvx	PROPN
iajs-3957	47	14	dvy	dvy	PROPN
iajs-3957	47	15	dvz	dvz	NOUN
iajs-3957	47	16	(	(	PUNCT
iajs-3957	47	17	5	5	NUM
iajs-3957	47	18	)	)	PUNCT
iajs-3957	47	19	the	the	DET
iajs-3957	47	20	fermi	fermi	NOUN
iajs-3957	47	21	surface	surface	NOUN
iajs-3957	47	22	(	(	PUNCT
iajs-3957	47	23	f.s	f.s	PROPN
iajs-3957	47	24	.	.	PROPN
iajs-3957	47	25	)	)	PUNCT
iajs-3957	47	26	integral	integral	ADJ
iajs-3957	47	27	is	be	AUX
iajs-3957	47	28	typically	typically	ADV
iajs-3957	47	29	denoted	denote	VERB
iajs-3957	47	30	as	as	ADP
iajs-3957	47	31	a(z	a(z	PROPN
iajs-3957	47	32	,	,	PUNCT
iajs-3957	47	33	p	p	NOUN
iajs-3957	47	34	)	)	PUNCT
iajs-3957	47	35	and	and	CCONJ
iajs-3957	47	36	is	be	AUX
iajs-3957	47	37	a	a	DET
iajs-3957	47	38	function	function	NOUN
iajs-3957	47	39	of	of	ADP
iajs-3957	47	40	the	the	DET
iajs-3957	47	41	atomic	atomic	ADJ
iajs-3957	47	42	number	number	NOUN
iajs-3957	47	43	(	(	PUNCT
iajs-3957	47	44	z	z	NOUN
iajs-3957	47	45	)	)	PUNCT
iajs-3957	47	46	and	and	CCONJ
iajs-3957	47	47	momentum	momentum	NOUN
iajs-3957	47	48	(	(	PUNCT
iajs-3957	47	49	p	p	NOUN
iajs-3957	47	50	)	)	PUNCT
iajs-3957	47	51	.	.	PUNCT
iajs-3957	48	1	the	the	DET
iajs-3957	48	2	integral	integral	ADJ
iajs-3957	48	3	is	be	AUX
iajs-3957	48	4	used	use	VERB
iajs-3957	48	5	to	to	PART
iajs-3957	48	6	calculate	calculate	VERB
iajs-3957	48	7	various	various	ADJ
iajs-3957	48	8	properties	property	NOUN
iajs-3957	48	9	of	of	ADP
iajs-3957	48	10	metals	metal	NOUN
iajs-3957	48	11	,	,	PUNCT
iajs-3957	48	12	including	include	VERB
iajs-3957	48	13	their	their	PRON
iajs-3957	48	14	electrical	electrical	ADJ
iajs-3957	48	15	conductivity	conductivity	NOUN
iajs-3957	48	16	,	,	PUNCT
iajs-3957	48	17	and	and	CCONJ
iajs-3957	48	18	planck	planck	NOUN
iajs-3957	48	19	's	's	PART
iajs-3957	48	20	constant	constant	ADJ
iajs-3957	48	21	(	(	PUNCT
iajs-3957	48	22	h	h	NOUN
iajs-3957	48	23	)	)	PUNCT
iajs-3957	48	24	.	.	PUNCT
iajs-3957	49	1	(	(	PUNCT
iajs-3957	49	2	11,12	11,12	NUM
iajs-3957	49	3	)	)	PUNCT
iajs-3957	49	4	:	:	PUNCT
iajs-3957	49	5	a	a	DET
iajs-3957	49	6	(	(	PUNCT
iajs-3957	49	7	z	z	NOUN
iajs-3957	49	8	,	,	PUNCT
iajs-3957	49	9	p	p	NOUN
iajs-3957	49	10	)	)	PUNCT
iajs-3957	49	11	=	=	SYM
iajs-3957	49	12	∫	∫	PROPN
iajs-3957	49	13	(	(	PUNCT
iajs-3957	49	14	1	1	NUM
iajs-3957	49	15	t3	t3	NOUN
iajs-3957	49	16	−	−	PROPN
iajs-3957	49	17	1	1	NUM
iajs-3957	49	18	t5	t5	PROPN
iajs-3957	49	19	)	)	PUNCT
iajs-3957	50	1	∞	∞	NUM
iajs-3957	50	2	1	1	NUM
iajs-3957	50	3	1	1	NUM
iajs-3957	50	4	−	−	NOUN
iajs-3957	50	5	exp	exp	NOUN
iajs-3957	50	6	(	(	PUNCT
iajs-3957	50	7	−z	−z	PROPN
iajs-3957	50	8	t	t	PROPN
iajs-3957	50	9	)	)	PUNCT
iajs-3957	50	10	1	1	NUM
iajs-3957	50	11	−	−	PROPN
iajs-3957	50	12	p	p	NOUN
iajs-3957	50	13	exp	exp	NOUN
iajs-3957	50	14	(	(	PUNCT
iajs-3957	50	15	−z	−z	PROPN
iajs-3957	50	16	t	t	PROPN
iajs-3957	50	17	)	)	PUNCT
iajs-3957	50	18	dt	dt	PUNCT
iajs-3957	50	19	(	(	PUNCT
iajs-3957	50	20	6	6	NUM
iajs-3957	50	21	)	)	PUNCT
iajs-3957	50	22	where	where	SCONJ
iajs-3957	50	23	is	be	AUX
iajs-3957	50	24	b	b	X
iajs-3957	50	25	(	(	PUNCT
iajs-3957	50	26	z	z	NOUN
iajs-3957	50	27	,	,	PUNCT
iajs-3957	50	28	p	p	X
iajs-3957	50	29	,	,	PUNCT
iajs-3957	50	30	∝	∝	PROPN
iajs-3957	50	31	)	)	PUNCT
iajs-3957	50	32	the	the	DET
iajs-3957	50	33	integral	integral	NOUN
iajs-3957	50	34	of	of	ADP
iajs-3957	50	35	m.s	m.s	PROPN
iajs-3957	50	36	.	.	PROPN
iajs-3957	51	1	as	as	SCONJ
iajs-3957	51	2	given	give	VERB
iajs-3957	51	3	by	by	ADP
iajs-3957	51	4	[	[	X
iajs-3957	51	5	11][9][13	11][9][13	NOUN
iajs-3957	51	6	]	]	X
iajs-3957	51	7	:	:	PUNCT
iajs-3957	51	8	b	b	X
iajs-3957	51	9	(	(	PUNCT
iajs-3957	51	10	z	z	NOUN
iajs-3957	51	11	,	,	PUNCT
iajs-3957	51	12	p	p	X
iajs-3957	51	13	,	,	PUNCT
iajs-3957	51	14	∝	∝	X
iajs-3957	51	15	)	)	PUNCT
iajs-3957	51	16	=	=	SYM
iajs-3957	52	1	∫	∫	PROPN
iajs-3957	52	2	d∅	d∅	X
iajs-3957	53	1	∫	∫	PROPN
iajs-3957	53	2	cos2	cos2	PROPN
iajs-3957	53	3	∅	∅	NOUN
iajs-3957	53	4	h	h	PROPN
iajs-3957	53	5	(	(	PUNCT
iajs-3957	53	6	t	t	NOUN
iajs-3957	53	7	,	,	PUNCT
iajs-3957	53	8	∅	∅	NOUN
iajs-3957	53	9	)	)	PUNCT
iajs-3957	53	10	[	[	PUNCT
iajs-3957	53	11	1	1	NUM
iajs-3957	53	12	t3	t3	NOUN
iajs-3957	53	13	−	−	PROPN
iajs-3957	53	14	1	1	NUM
iajs-3957	53	15	t5	t5	PROPN
iajs-3957	53	16	]	]	PUNCT
iajs-3957	53	17	x	x	SYM
iajs-3957	53	18	1	1	NUM
iajs-3957	53	19	−	−	NOUN
iajs-3957	53	20	exp	exp	NOUN
iajs-3957	53	21	[	[	X
iajs-3957	53	22	−z	−z	NOUN
iajs-3957	53	23	t	t	PROPN
iajs-3957	53	24	h	h	PROPN
iajs-3957	53	25	(	(	PUNCT
iajs-3957	53	26	t	t	PROPN
iajs-3957	53	27	,	,	PUNCT
iajs-3957	53	28	∅	∅	NOUN
iajs-3957	53	29	)	)	PUNCT
iajs-3957	53	30	]	]	PUNCT
iajs-3957	53	31	1	1	NUM
iajs-3957	53	32	−	−	PROPN
iajs-3957	53	33	p	p	NOUN
iajs-3957	53	34	exp[−z	exp[−z	VERB
iajs-3957	53	35	t	t	NOUN
iajs-3957	53	36	h	h	PROPN
iajs-3957	53	37	(	(	PUNCT
iajs-3957	53	38	t	t	PROPN
iajs-3957	53	39	,	,	PUNCT
iajs-3957	53	40	∅	∅	NOUN
iajs-3957	53	41	)	)	PUNCT
iajs-3957	53	42	]	]	PUNCT
iajs-3957	54	1	∞	∞	NUM
iajs-3957	54	2	1	1	NUM
iajs-3957	54	3	π	π	SYM
iajs-3957	54	4	2⁄	2⁄	NUM
iajs-3957	54	5	0	0	NUM
iajs-3957	54	6	dt	dt	NOUN
iajs-3957	54	7	(	(	PUNCT
iajs-3957	54	8	7	7	X
iajs-3957	54	9	)	)	PUNCT
iajs-3957	54	10	ihjpas	ihjpa	NOUN
iajs-3957	54	11	.	.	PUNCT
iajs-3957	55	1	2025	2025	NUM
iajs-3957	55	2	,	,	PUNCT
iajs-3957	55	3	38	38	NUM
iajs-3957	55	4	(	(	PUNCT
iajs-3957	55	5	1	1	NUM
iajs-3957	55	6	)	)	SYM
iajs-3957	55	7	155	155	NUM
iajs-3957	55	8	elucidation	elucidation	NOUN
iajs-3957	55	9	of	of	ADP
iajs-3957	55	10	the	the	DET
iajs-3957	55	11	resistivity	resistivity	NOUN
iajs-3957	55	12	rate	rate	NOUN
iajs-3957	55	13	(	(	PUNCT
iajs-3957	55	14	ρf	ρf	X
iajs-3957	55	15	/ρ0	/ρ0	INTJ
iajs-3957	55	16	)	)	PUNCT
iajs-3957	56	1	to	to	ADP
iajs-3957	56	2	the	the	DET
iajs-3957	56	3	bulk	bulk	ADJ
iajs-3957	56	4	metal	metal	NOUN
iajs-3957	56	5	(	(	PUNCT
iajs-3957	56	6	9,14	9,14	NUM
iajs-3957	56	7	)	)	PUNCT
iajs-3957	56	8	:	:	PUNCT
iajs-3957	56	9	𝜌𝑓	𝜌𝑓	NUM
iajs-3957	56	10	𝜌0	𝜌0	NOUN
iajs-3957	56	11	=	=	SYM
iajs-3957	56	12	3	3	NUM
iajs-3957	56	13	8𝑍	8𝑍	NOUN
iajs-3957	56	14	(	(	PUNCT
iajs-3957	56	15	1	1	NUM
iajs-3957	56	16	−	−	PROPN
iajs-3957	56	17	p	p	X
iajs-3957	56	18	)	)	PUNCT
iajs-3957	56	19	+	+	CCONJ
iajs-3957	56	20	1	1	NUM
iajs-3957	56	21	(	(	PUNCT
iajs-3957	56	22	8)	8)	NUM
iajs-3957	56	23	in	in	ADP
iajs-3957	56	24	this	this	DET
iajs-3957	56	25	context	context	NOUN
iajs-3957	56	26	,	,	PUNCT
iajs-3957	56	27	ρ0	ρ0	PROPN
iajs-3957	56	28	represents	represent	VERB
iajs-3957	56	29	the	the	DET
iajs-3957	56	30	bulk	bulk	ADJ
iajs-3957	56	31	resistivity	resistivity	NOUN
iajs-3957	56	32	,	,	PUNCT
iajs-3957	56	33	while	while	SCONJ
iajs-3957	56	34	ρf	ρf	PRON
iajs-3957	56	35	represents	represent	VERB
iajs-3957	56	36	the	the	DET
iajs-3957	56	37	thin	thin	ADJ
iajs-3957	56	38	resistivity	resistivity	NOUN
iajs-3957	56	39	.	.	PUNCT
iajs-3957	57	1	z	z	PROPN
iajs-3957	57	2	denotes	denote	VERB
iajs-3957	57	3	the	the	DET
iajs-3957	57	4	rate	rate	NOUN
iajs-3957	57	5	,	,	PUNCT
iajs-3957	57	6	which	which	PRON
iajs-3957	57	7	is	be	AUX
iajs-3957	57	8	equal	equal	ADJ
iajs-3957	57	9	to	to	ADP
iajs-3957	57	10	(	(	PUNCT
iajs-3957	57	11	z	z	NOUN
iajs-3957	57	12	=	=	SYM
iajs-3957	57	13	d	d	X
iajs-3957	57	14	/	/	SYM
iajs-3957	57	15	l0	l0	PROPN
iajs-3957	57	16	)	)	PUNCT
iajs-3957	57	17	,	,	PUNCT
iajs-3957	57	18	where	where	SCONJ
iajs-3957	57	19	d	d	NOUN
iajs-3957	57	20	represents	represent	VERB
iajs-3957	57	21	thickness	thickness	NOUN
iajs-3957	57	22	and	and	CCONJ
iajs-3957	57	23	l0	l0	PROPN
iajs-3957	57	24	represents	represent	VERB
iajs-3957	57	25	the	the	DET
iajs-3957	57	26	mean	mean	ADJ
iajs-3957	57	27	free	free	ADJ
iajs-3957	57	28	path	path	NOUN
iajs-3957	57	29	.	.	PUNCT
iajs-3957	58	1	p	p	NOUN
iajs-3957	58	2	represents	represent	VERB
iajs-3957	58	3	the	the	DET
iajs-3957	58	4	surface	surface	NOUN
iajs-3957	58	5	scattering	scatter	VERB
iajs-3957	58	6	coefficient	coefficient	NOUN
iajs-3957	58	7	.	.	PUNCT
iajs-3957	59	1	to	to	PART
iajs-3957	59	2	find	find	VERB
iajs-3957	59	3	the	the	DET
iajs-3957	59	4	total	total	ADJ
iajs-3957	59	5	resistivity	resistivity	NOUN
iajs-3957	59	6	of	of	ADP
iajs-3957	59	7	metals	metal	NOUN
iajs-3957	59	8	,	,	PUNCT
iajs-3957	59	9	the	the	DET
iajs-3957	59	10	condensed	condense	VERB
iajs-3957	59	11	solution	solution	NOUN
iajs-3957	59	12	based	base	VERB
iajs-3957	59	13	on	on	ADP
iajs-3957	59	14	the	the	DET
iajs-3957	59	15	(	(	PUNCT
iajs-3957	59	16	f.s	f.s	NOUN
iajs-3957	59	17	)	)	PUNCT
iajs-3957	59	18	and	and	CCONJ
iajs-3957	59	19	(	(	PUNCT
iajs-3957	59	20	m.s	m.s	PROPN
iajs-3957	59	21	)	)	PUNCT
iajs-3957	59	22	models	model	NOUN
iajs-3957	59	23	computes	compute	VERB
iajs-3957	59	24	the	the	DET
iajs-3957	59	25	surface	surface	NOUN
iajs-3957	59	26	scattering	scattering	NOUN
iajs-3957	59	27	and	and	CCONJ
iajs-3957	59	28	grain	grain	NOUN
iajs-3957	59	29	boundary	boundary	ADJ
iajs-3957	59	30	reflection	reflection	NOUN
iajs-3957	59	31	coefficient	coefficient	NOUN
iajs-3957	59	32	(	(	PUNCT
iajs-3957	59	33	15,16	15,16	NUM
iajs-3957	59	34	)	)	PUNCT
iajs-3957	59	35	.	.	PUNCT
iajs-3957	60	1	when	when	SCONJ
iajs-3957	60	2	calculating	calculate	VERB
iajs-3957	60	3	the	the	DET
iajs-3957	60	4	electrical	electrical	ADJ
iajs-3957	60	5	resistivity	resistivity	NOUN
iajs-3957	60	6	of	of	ADP
iajs-3957	60	7	conducting	conduct	VERB
iajs-3957	60	8	electrons	electron	NOUN
iajs-3957	60	9	as	as	ADP
iajs-3957	60	10	a	a	DET
iajs-3957	60	11	function	function	NOUN
iajs-3957	60	12	of	of	ADP
iajs-3957	60	13	thickness	thickness	NOUN
iajs-3957	60	14	,	,	PUNCT
iajs-3957	60	15	the	the	DET
iajs-3957	60	16	scattering	scattering	NOUN
iajs-3957	60	17	at	at	ADP
iajs-3957	60	18	grain	grain	NOUN
iajs-3957	60	19	boundaries	boundary	NOUN
iajs-3957	60	20	is	be	AUX
iajs-3957	60	21	crucial	crucial	ADJ
iajs-3957	60	22	.	.	PUNCT
iajs-3957	61	1	(	(	PUNCT
iajs-3957	61	2	17	17	NUM
iajs-3957	61	3	-	-	SYM
iajs-3957	61	4	19	19	NUM
iajs-3957	61	5	)	)	PUNCT
iajs-3957	61	6	.	.	PUNCT
iajs-3957	62	1	∝=	∝=	NOUN
iajs-3957	62	2	l	l	NOUN
iajs-3957	62	3	z	z	NOUN
iajs-3957	62	4	r	r	NOUN
iajs-3957	62	5	1	1	NUM
iajs-3957	62	6	−	−	NOUN
iajs-3957	62	7	r	r	NOUN
iajs-3957	62	8	(	(	PUNCT
iajs-3957	62	9	9	9	NUM
iajs-3957	62	10	)	)	PUNCT
iajs-3957	62	11	the	the	DET
iajs-3957	62	12	parameters	parameter	NOUN
iajs-3957	62	13	(	(	PUNCT
iajs-3957	62	14	r	r	NOUN
iajs-3957	62	15	)	)	PUNCT
iajs-3957	62	16	are	be	AUX
iajs-3957	62	17	utilized	utilize	VERB
iajs-3957	62	18	to	to	PART
iajs-3957	62	19	determine	determine	VERB
iajs-3957	62	20	the	the	DET
iajs-3957	62	21	coefficient	coefficient	NOUN
iajs-3957	62	22	of	of	ADP
iajs-3957	62	23	reflection	reflection	NOUN
iajs-3957	62	24	at	at	ADP
iajs-3957	62	25	the	the	DET
iajs-3957	62	26	ru	ru	PROPN
iajs-3957	62	27	grain	grain	NOUN
iajs-3957	62	28	boundary	boundary	NOUN
iajs-3957	62	29	,	,	PUNCT
iajs-3957	62	30	with	with	ADP
iajs-3957	62	31	(	(	PUNCT
iajs-3957	62	32	∝	∝	NOUN
iajs-3957	62	33	)	)	PUNCT
iajs-3957	62	34	equaling	equal	VERB
iajs-3957	62	35	r	r	NOUN
iajs-3957	62	36	=	=	NOUN
iajs-3957	62	37	0.043	0.043	NUM
iajs-3957	62	38	for	for	ADP
iajs-3957	62	39	ru	ru	PROPN
iajs-3957	62	40	(	(	PUNCT
iajs-3957	62	41	13	13	NUM
iajs-3957	62	42	)	)	PUNCT
iajs-3957	62	43	,	,	PUNCT
iajs-3957	62	44	to	to	PART
iajs-3957	62	45	make	make	VERB
iajs-3957	62	46	it	it	PRON
iajs-3957	62	47	easier	easy	ADJ
iajs-3957	62	48	to	to	PART
iajs-3957	62	49	evaluate	evaluate	VERB
iajs-3957	62	50	resistivity	resistivity	NOUN
iajs-3957	62	51	(	(	PUNCT
iajs-3957	62	52	16)and	16)and	NUM
iajs-3957	62	53	grain	grain	NOUN
iajs-3957	62	54	size	size	NOUN
iajs-3957	62	55	at	at	ADP
iajs-3957	62	56	different	different	ADJ
iajs-3957	62	57	grain	grain	NOUN
iajs-3957	62	58	sizes	size	NOUN
iajs-3957	62	59	,	,	PUNCT
iajs-3957	62	60	while	while	SCONJ
iajs-3957	62	61	analyzed	analyze	VERB
iajs-3957	62	62	,	,	PUNCT
iajs-3957	62	63	goes	go	VERB
iajs-3957	62	64	on	on	ADP
iajs-3957	62	65	(	(	PUNCT
iajs-3957	62	66	20,21	20,21	NUM
iajs-3957	62	67	)	)	PUNCT
iajs-3957	62	68	.	.	PUNCT
iajs-3957	63	1	the	the	DET
iajs-3957	63	2	electron	electron	NOUN
iajs-3957	63	3	surface	surface	NOUN
iajs-3957	63	4	scattering	scattering	NOUN
iajs-3957	63	5	-	-	PUNCT
iajs-3957	63	6	related	relate	VERB
iajs-3957	63	7	fuchs	fuch	NOUN
iajs-3957	63	8	-	-	PUNCT
iajs-3957	63	9	sondheier	sondheier	NOUN
iajs-3957	63	10	estimate	estimate	NOUN
iajs-3957	63	11	in	in	ADP
iajs-3957	63	12	eq	eq	NOUN
iajs-3957	63	13	(	(	PUNCT
iajs-3957	63	14	8)	8)	NUM
iajs-3957	63	15	is	be	AUX
iajs-3957	63	16	used	use	VERB
iajs-3957	63	17	to	to	PART
iajs-3957	63	18	determine	determine	VERB
iajs-3957	63	19	the	the	DET
iajs-3957	63	20	resistance	resistance	NOUN
iajs-3957	63	21	of	of	ADP
iajs-3957	63	22	metals	metal	NOUN
iajs-3957	63	23	,	,	PUNCT
iajs-3957	63	24	while	while	SCONJ
iajs-3957	63	25	m.s	m.s	PROPN
iajs-3957	63	26	.	.	PROPN
iajs-3957	63	27	electron	electron	PROPN
iajs-3957	63	28	scattering	scatter	VERB
iajs-3957	63	29	for	for	ADP
iajs-3957	63	30	grain	grain	NOUN
iajs-3957	63	31	boundaries	boundary	NOUN
iajs-3957	63	32	is	be	AUX
iajs-3957	63	33	determined	determine	VERB
iajs-3957	63	34	from	from	ADP
iajs-3957	63	35	eq	eq	ADP
iajs-3957	63	36	10	10	NUM
iajs-3957	63	37	(	(	PUNCT
iajs-3957	63	38	22	22	NUM
iajs-3957	63	39	)	)	PUNCT
iajs-3957	63	40	.	.	PUNCT
iajs-3957	64	1	𝜌𝑓	𝜌𝑓	PUNCT
iajs-3957	65	1	𝜌0	𝜌0	NOUN
iajs-3957	65	2	=	=	SYM
iajs-3957	65	3	1	1	NUM
iajs-3957	65	4	+	+	SYM
iajs-3957	65	5	3	3	NUM
iajs-3957	65	6	8𝑍	8𝑍	NOUN
iajs-3957	65	7	(	(	PUNCT
iajs-3957	65	8	1	1	NUM
iajs-3957	65	9	−	−	PROPN
iajs-3957	65	10	𝑝	𝑝	NOUN
iajs-3957	65	11	)	)	PUNCT
iajs-3957	66	1	+	+	CCONJ
iajs-3957	66	2	3	3	NUM
iajs-3957	66	3	2	2	NUM
iajs-3957	66	4	∝	∝	PROPN
iajs-3957	66	5	z	z	PROPN
iajs-3957	67	1	≫	≫	PROPN
iajs-3957	67	2	1	1	NUM
iajs-3957	67	3	∝≪	∝≪	NOUN
iajs-3957	67	4	1	1	NUM
iajs-3957	67	5	(	(	PUNCT
iajs-3957	67	6	10	10	NUM
iajs-3957	67	7	)	)	PUNCT
iajs-3957	67	8	the	the	DET
iajs-3957	67	9	two	two	NUM
iajs-3957	67	10	models	model	NOUN
iajs-3957	67	11	show	show	VERB
iajs-3957	67	12	that	that	SCONJ
iajs-3957	67	13	ru	ru	PROPN
iajs-3957	67	14	is	be	AUX
iajs-3957	67	15	one	one	NUM
iajs-3957	67	16	of	of	ADP
iajs-3957	67	17	the	the	DET
iajs-3957	67	18	conductive	conductive	ADJ
iajs-3957	67	19	metals	metal	NOUN
iajs-3957	67	20	(	(	PUNCT
iajs-3957	67	21	23	23	NUM
iajs-3957	67	22	)	)	PUNCT
iajs-3957	67	23	.	.	PUNCT
iajs-3957	68	1	its	its	PRON
iajs-3957	68	2	dependent	dependent	ADJ
iajs-3957	68	3	temperature	temperature	NOUN
iajs-3957	68	4	in	in	ADP
iajs-3957	68	5	terms	term	NOUN
iajs-3957	68	6	of	of	ADP
iajs-3957	68	7	electrical	electrical	ADJ
iajs-3957	68	8	resistance	resistance	NOUN
iajs-3957	68	9	increases	increase	NOUN
iajs-3957	68	10	with	with	ADP
iajs-3957	68	11	decreased	decrease	VERB
iajs-3957	68	12	thickness(4,24	thickness(4,24	NOUN
iajs-3957	68	13	)	)	PUNCT
iajs-3957	68	14	.	.	PUNCT
iajs-3957	69	1	grain	grain	NOUN
iajs-3957	69	2	boundary	boundary	ADJ
iajs-3957	69	3	scattering	scattering	NOUN
iajs-3957	69	4	is	be	AUX
iajs-3957	69	5	dependent	dependent	ADJ
iajs-3957	69	6	on	on	ADP
iajs-3957	69	7	the	the	DET
iajs-3957	69	8	average	average	ADJ
iajs-3957	69	9	linear	linear	ADJ
iajs-3957	69	10	distance	distance	NOUN
iajs-3957	69	11	between	between	ADP
iajs-3957	69	12	grain	grain	NOUN
iajs-3957	69	13	boundaries	boundary	NOUN
iajs-3957	69	14	,	,	PUNCT
iajs-3957	69	15	whereas	whereas	SCONJ
iajs-3957	69	16	surface	surface	NOUN
iajs-3957	69	17	scattering	scattering	NOUN
iajs-3957	69	18	is	be	AUX
iajs-3957	69	19	directly	directly	ADV
iajs-3957	69	20	related	relate	VERB
iajs-3957	69	21	to	to	PART
iajs-3957	69	22	film	film	VERB
iajs-3957	69	23	thickness	thickness	NOUN
iajs-3957	69	24	and	and	CCONJ
iajs-3957	69	25	scattering	scatter	VERB
iajs-3957	69	26	(	(	PUNCT
iajs-3957	69	27	25	25	NUM
iajs-3957	69	28	)	)	PUNCT
iajs-3957	69	29	.	.	PUNCT
iajs-3957	70	1	grain	grain	NOUN
iajs-3957	70	2	-	-	PUNCT
iajs-3957	70	3	boundary	boundary	NOUN
iajs-3957	70	4	scattering	scattering	NOUN
iajs-3957	70	5	is	be	AUX
iajs-3957	70	6	achieved	achieve	VERB
iajs-3957	70	7	by	by	ADP
iajs-3957	70	8	solving	solve	VERB
iajs-3957	70	9	a	a	DET
iajs-3957	70	10	(	(	PUNCT
iajs-3957	70	11	boltzmann	boltzmann	PROPN
iajs-3957	70	12	equation	equation	NOUN
iajs-3957	70	13	)	)	PUNCT
iajs-3957	70	14	with	with	ADP
iajs-3957	70	15	background	background	NOUN
iajs-3957	70	16	and	and	CCONJ
iajs-3957	70	17	electrical	electrical	ADJ
iajs-3957	70	18	resistance(7	resistance(7	NOUN
iajs-3957	70	19	)	)	PUNCT
iajs-3957	70	20	.	.	PUNCT
iajs-3957	71	1	the	the	DET
iajs-3957	71	2	concentration	concentration	NOUN
iajs-3957	71	3	of	of	ADP
iajs-3957	71	4	a	a	DET
iajs-3957	71	5	material	material	NOUN
iajs-3957	71	6	influences	influence	VERB
iajs-3957	71	7	the	the	DET
iajs-3957	71	8	electrical	electrical	ADJ
iajs-3957	71	9	properties	property	NOUN
iajs-3957	71	10	of	of	ADP
iajs-3957	71	11	metals	metal	NOUN
iajs-3957	71	12	(	(	PUNCT
iajs-3957	71	13	26,27	26,27	NUM
iajs-3957	71	14	)	)	PUNCT
iajs-3957	71	15	.	.	PUNCT
iajs-3957	72	1	lastly	lastly	ADV
iajs-3957	72	2	,	,	PUNCT
iajs-3957	72	3	it	it	PRON
iajs-3957	72	4	was	be	AUX
iajs-3957	72	5	discovered	discover	VERB
iajs-3957	72	6	that	that	SCONJ
iajs-3957	72	7	the	the	DET
iajs-3957	72	8	temperature	temperature	NOUN
iajs-3957	72	9	of	of	ADP
iajs-3957	72	10	all	all	DET
iajs-3957	72	11	conductor	conductor	NOUN
iajs-3957	72	12	metals	metal	NOUN
iajs-3957	72	13	affects	affect	VERB
iajs-3957	72	14	electrical	electrical	ADJ
iajs-3957	72	15	resistivity	resistivity	NOUN
iajs-3957	72	16	(	(	PUNCT
iajs-3957	72	17	28,29	28,29	NUM
iajs-3957	72	18	)	)	PUNCT
iajs-3957	72	19	.	.	PUNCT
iajs-3957	73	1	has	have	VERB
iajs-3957	73	2	an	an	DET
iajs-3957	73	3	inverse	inverse	NOUN
iajs-3957	73	4	relationship	relationship	NOUN
iajs-3957	73	5	with	with	ADP
iajs-3957	73	6	thickness(30	thickness(30	NOUN
iajs-3957	73	7	-	-	NUM
iajs-3957	73	8	32	32	NUM
iajs-3957	73	9	)	)	PUNCT
iajs-3957	73	10	.	.	PUNCT
iajs-3957	74	1	which	which	PRON
iajs-3957	74	2	equal	equal	ADJ
iajs-3957	74	3	(	(	PUNCT
iajs-3957	74	4	𝜌0	𝜌0	NOUN
iajs-3957	74	5	=	=	SYM
iajs-3957	74	6	7.8	7.8	NUM
iajs-3957	74	7	×	×	NOUN
iajs-3957	74	8	10−8ωm	10−8ωm	NUM
iajs-3957	74	9	)	)	PUNCT
iajs-3957	74	10	,	,	PUNCT
iajs-3957	74	11	mean	mean	VERB
iajs-3957	74	12	free	free	ADJ
iajs-3957	74	13	path	path	NOUN
iajs-3957	74	14	(	(	PUNCT
iajs-3957	74	15	mfp	mfp	NOUN
iajs-3957	74	16	)	)	PUNCT
iajs-3957	74	17	equal	equal	ADJ
iajs-3957	74	18	(	(	PUNCT
iajs-3957	74	19	𝑙0	𝑙0	NOUN
iajs-3957	74	20	=	=	NOUN
iajs-3957	74	21	6.6	6.6	NUM
iajs-3957	74	22	nm	nm	NOUN
iajs-3957	74	23	)	)	PUNCT
iajs-3957	74	24	,	,	PUNCT
iajs-3957	74	25	(	(	PUNCT
iajs-3957	74	26	𝜌0𝑙0	𝜌0𝑙0	SYM
iajs-3957	74	27	=	=	SYM
iajs-3957	74	28	51.48	51.48	NUM
iajs-3957	74	29	×	×	NOUN
iajs-3957	74	30	10−17ω𝑚2	10−17ω𝑚2	NUM
iajs-3957	74	31	)	)	PUNCT
iajs-3957	74	32	(	(	PUNCT
iajs-3957	74	33	33	33	NUM
iajs-3957	74	34	)	)	PUNCT
iajs-3957	74	35	.	.	PUNCT
iajs-3957	75	1	3	3	X
iajs-3957	75	2	.	.	NOUN
iajs-3957	75	3	results	result	NOUN
iajs-3957	75	4	and	and	CCONJ
iajs-3957	75	5	discussion	discussion	VERB
iajs-3957	75	6	the	the	DET
iajs-3957	75	7	experimental	experimental	ADJ
iajs-3957	75	8	portion	portion	NOUN
iajs-3957	75	9	of	of	ADP
iajs-3957	75	10	ru	ru	PROPN
iajs-3957	75	11	is	be	AUX
iajs-3957	75	12	shown	show	VERB
iajs-3957	75	13	in	in	ADP
iajs-3957	75	14	figure	figure	NOUN
iajs-3957	75	15	1	1	NUM
iajs-3957	75	16	,	,	PUNCT
iajs-3957	75	17	from	from	ADP
iajs-3957	75	18	which	which	PRON
iajs-3957	75	19	the	the	DET
iajs-3957	75	20	data	datum	NOUN
iajs-3957	75	21	for	for	ADP
iajs-3957	75	22	the	the	DET
iajs-3957	75	23	surface	surface	NOUN
iajs-3957	75	24	reflection	reflection	NOUN
iajs-3957	75	25	coefficient	coefficient	NOUN
iajs-3957	75	26	was	be	AUX
iajs-3957	75	27	obtained	obtain	VERB
iajs-3957	75	28	by	by	ADP
iajs-3957	75	29	using	use	VERB
iajs-3957	75	30	equation	equation	NOUN
iajs-3957	75	31	(	(	PUNCT
iajs-3957	75	32	8)	8)	NUM
iajs-3957	75	33	for	for	ADP
iajs-3957	75	34	(	(	PUNCT
iajs-3957	75	35	f.s	f.s	NOUN
iajs-3957	75	36	)	)	PUNCT
iajs-3957	75	37	it	it	PRON
iajs-3957	75	38	seems	seem	VERB
iajs-3957	75	39	that	that	SCONJ
iajs-3957	75	40	the	the	DET
iajs-3957	75	41	theory	theory	NOUN
iajs-3957	75	42	developed	develop	VERB
iajs-3957	75	43	by	by	ADP
iajs-3957	75	44	fuchs	fuch	NOUN
iajs-3957	75	45	-	-	PUNCT
iajs-3957	75	46	sondheimer	sondheimer	NOUN
iajs-3957	75	47	provides	provide	VERB
iajs-3957	75	48	a	a	DET
iajs-3957	75	49	way	way	NOUN
iajs-3957	75	50	to	to	PART
iajs-3957	75	51	obtain	obtain	VERB
iajs-3957	75	52	numerical	numerical	ADJ
iajs-3957	75	53	values	value	NOUN
iajs-3957	75	54	for	for	ADP
iajs-3957	75	55	the	the	DET
iajs-3957	75	56	surface	surface	NOUN
iajs-3957	75	57	scattering	scatter	VERB
iajs-3957	75	58	coefficient	coefficient	NOUN
iajs-3957	75	59	in	in	ADP
iajs-3957	75	60	the	the	DET
iajs-3957	75	61	range	range	NOUN
iajs-3957	75	62	of	of	ADP
iajs-3957	75	63	(	(	PUNCT
iajs-3957	75	64	0	0	NUM
iajs-3957	75	65	-	-	SYM
iajs-3957	75	66	0.9	0.9	NUM
iajs-3957	75	67	)	)	PUNCT
iajs-3957	75	68	,	,	PUNCT
iajs-3957	75	69	as	as	ADV
iajs-3957	75	70	well	well	ADV
iajs-3957	75	71	as	as	ADP
iajs-3957	75	72	the	the	DET
iajs-3957	75	73	lowered	lower	VERB
iajs-3957	75	74	resistivity	resistivity	NOUN
iajs-3957	75	75	based	base	VERB
iajs-3957	75	76	on	on	ADP
iajs-3957	75	77	equations	equation	NOUN
iajs-3957	75	78	with	with	ADP
iajs-3957	75	79	varying	vary	VERB
iajs-3957	75	80	thicknesses	thickness	NOUN
iajs-3957	75	81	.	.	PUNCT
iajs-3957	76	1	this	this	DET
iajs-3957	76	2	measurement	measurement	NOUN
iajs-3957	76	3	is	be	AUX
iajs-3957	76	4	dependent	dependent	ADJ
iajs-3957	76	5	on	on	ADP
iajs-3957	76	6	the	the	DET
iajs-3957	76	7	fuchs	fuchs	ADJ
iajs-3957	76	8	-	-	PUNCT
iajs-3957	76	9	sondheimer	sondheimer	PROPN
iajs-3957	76	10	theory	theory	NOUN
iajs-3957	76	11	,	,	PUNCT
iajs-3957	76	12	which	which	PRON
iajs-3957	76	13	also	also	ADV
iajs-3957	76	14	takes	take	VERB
iajs-3957	76	15	into	into	ADP
iajs-3957	76	16	account	account	NOUN
iajs-3957	76	17	conduction	conduction	NOUN
iajs-3957	76	18	electron	electron	NOUN
iajs-3957	76	19	scattering	scatter	VERB
iajs-3957	76	20	on	on	ADP
iajs-3957	76	21	metal	metal	NOUN
iajs-3957	76	22	surfaces	surface	NOUN
iajs-3957	76	23	,	,	PUNCT
iajs-3957	76	24	particularly	particularly	ADV
iajs-3957	76	25	background	background	NOUN
iajs-3957	76	26	scattering	scattering	NOUN
iajs-3957	76	27	and	and	CCONJ
iajs-3957	76	28	grain	grain	NOUN
iajs-3957	76	29	boundaries	boundary	NOUN
iajs-3957	76	30	(	(	PUNCT
iajs-3957	76	31	33,34	33,34	NOUN
iajs-3957	76	32	)	)	PUNCT
iajs-3957	76	33	.	.	PUNCT
iajs-3957	77	1	ihjpas	ihjpas	PROPN
iajs-3957	77	2	.	.	PUNCT
iajs-3957	78	1	2025	2025	NUM
iajs-3957	78	2	,	,	PUNCT
iajs-3957	78	3	38	38	NUM
iajs-3957	78	4	(	(	PUNCT
iajs-3957	78	5	1	1	NUM
iajs-3957	78	6	)	)	PUNCT
iajs-3957	78	7	156	156	NUM
iajs-3957	78	8	figure	figure	NOUN
iajs-3957	78	9	1	1	NUM
iajs-3957	78	10	.	.	PUNCT
iajs-3957	78	11	resistance	resistance	NOUN
iajs-3957	78	12	versus	versus	ADP
iajs-3957	78	13	thickness	thickness	NOUN
iajs-3957	78	14	for	for	ADP
iajs-3957	78	15	ruthenium	ruthenium	NOUN
iajs-3957	78	16	.	.	PUNCT
iajs-3957	79	1	the	the	DET
iajs-3957	79	2	intersection	intersection	NOUN
iajs-3957	79	3	point	point	NOUN
iajs-3957	79	4	of	of	ADP
iajs-3957	79	5	ruthenium	ruthenium	NOUN
iajs-3957	79	6	,	,	PUNCT
iajs-3957	79	7	originally	originally	ADV
iajs-3957	79	8	(	(	PUNCT
iajs-3957	79	9	𝜌𝑑	𝜌𝑑	ADP
iajs-3957	79	10	)	)	PUNCT
iajs-3957	79	11	,	,	PUNCT
iajs-3957	79	12	and	and	CCONJ
iajs-3957	79	13	the	the	DET
iajs-3957	79	14	slopes	slope	NOUN
iajs-3957	79	15	of	of	ADP
iajs-3957	79	16	ruthenium	ruthenium	NOUN
iajs-3957	79	17	,	,	PUNCT
iajs-3957	79	18	determined	determine	VERB
iajs-3957	79	19	using	use	VERB
iajs-3957	79	20	values	value	NOUN
iajs-3957	79	21	between	between	ADP
iajs-3957	79	22	(	(	PUNCT
iajs-3957	79	23	ρ	ρ	PROPN
iajs-3957	79	24	and	and	CCONJ
iajs-3957	79	25	d	d	NOUN
iajs-3957	79	26	)	)	PUNCT
iajs-3957	79	27	,	,	PUNCT
iajs-3957	79	28	where	where	SCONJ
iajs-3957	79	29	d	d	NOUN
iajs-3957	79	30	is	be	AUX
iajs-3957	79	31	the	the	DET
iajs-3957	79	32	(	(	PUNCT
iajs-3957	79	33	x	x	NOUN
iajs-3957	79	34	-	-	NOUN
iajs-3957	79	35	axis	axis	ADJ
iajs-3957	79	36	)	)	PUNCT
iajs-3957	79	37	and	and	CCONJ
iajs-3957	79	38	ρ	ρ	PROPN
iajs-3957	79	39	is	be	AUX
iajs-3957	79	40	the	the	DET
iajs-3957	79	41	(	(	PUNCT
iajs-3957	79	42	y	y	NOUN
iajs-3957	79	43	-	-	PUNCT
iajs-3957	79	44	axis	axis	NOUN
iajs-3957	79	45	)	)	PUNCT
iajs-3957	79	46	,	,	PUNCT
iajs-3957	79	47	are	be	AUX
iajs-3957	79	48	obtained	obtain	VERB
iajs-3957	79	49	from	from	ADP
iajs-3957	79	50	the	the	DET
iajs-3957	79	51	preceding	precede	VERB
iajs-3957	79	52	figure	figure	NOUN
iajs-3957	79	53	1	1	NUM
iajs-3957	79	54	,	,	PUNCT
iajs-3957	79	55	then	then	ADV
iajs-3957	79	56	intersection	intersection	NOUN
iajs-3957	79	57	point	point	NOUN
iajs-3957	79	58	for	for	ADP
iajs-3957	79	59	(	(	PUNCT
iajs-3957	79	60	ru=	ru=	NOUN
iajs-3957	79	61	68.03	68.03	NUM
iajs-3957	79	62	*	*	SYM
iajs-3957	79	63	10−17ω𝑚2	10−17ω𝑚2	NUM
iajs-3957	79	64	)	)	PUNCT
iajs-3957	79	65	,	,	PUNCT
iajs-3957	79	66	while	while	SCONJ
iajs-3957	79	67	slope	slope	NOUN
iajs-3957	79	68	of	of	ADP
iajs-3957	79	69	𝜌0	𝜌0	PROPN
iajs-3957	79	70	ru	ru	NOUN
iajs-3957	79	71	(	(	PUNCT
iajs-3957	79	72	7.878	7.878	NUM
iajs-3957	79	73	µ𝛺.	µ𝛺.	NUM
iajs-3957	79	74	cm	cm	NOUN
iajs-3957	79	75	)	)	PUNCT
iajs-3957	79	76	as	as	ADP
iajs-3957	79	77	a	a	DET
iajs-3957	79	78	following	follow	VERB
iajs-3957	79	79	figure	figure	NOUN
iajs-3957	79	80	2	2	NUM
iajs-3957	79	81	.	.	PUNCT
iajs-3957	80	1	it	it	PRON
iajs-3957	80	2	seems	seem	VERB
iajs-3957	80	3	that	that	SCONJ
iajs-3957	80	4	in	in	ADP
iajs-3957	80	5	the	the	DET
iajs-3957	80	6	theoretical	theoretical	ADJ
iajs-3957	80	7	study	study	NOUN
iajs-3957	80	8	shown	show	VERB
iajs-3957	80	9	in	in	ADP
iajs-3957	80	10	the	the	DET
iajs-3957	80	11	figure	figure	NOUN
iajs-3957	80	12	1	1	NUM
iajs-3957	80	13	,	,	PUNCT
iajs-3957	80	14	the	the	DET
iajs-3957	80	15	intersection	intersection	NOUN
iajs-3957	80	16	point	point	NOUN
iajs-3957	80	17	represents	represent	VERB
iajs-3957	80	18	the	the	DET
iajs-3957	80	19	resistance	resistance	NOUN
iajs-3957	80	20	of	of	ADP
iajs-3957	80	21	the	the	DET
iajs-3957	80	22	metal	metal	NOUN
iajs-3957	80	23	.	.	PUNCT
iajs-3957	81	1	however	however	ADV
iajs-3957	81	2	,	,	PUNCT
iajs-3957	81	3	due	due	ADP
iajs-3957	81	4	to	to	ADP
iajs-3957	81	5	defects	defect	NOUN
iajs-3957	81	6	,	,	PUNCT
iajs-3957	81	7	the	the	DET
iajs-3957	81	8	difference	difference	NOUN
iajs-3957	81	9	in	in	ADP
iajs-3957	81	10	resistance	resistance	NOUN
iajs-3957	81	11	at	at	ADP
iajs-3957	81	12	that	that	DET
iajs-3957	81	13	point	point	NOUN
iajs-3957	81	14	is	be	AUX
iajs-3957	81	15	very	very	ADV
iajs-3957	81	16	small	small	ADJ
iajs-3957	81	17	.	.	PUNCT
iajs-3957	82	1	figure	figure	NOUN
iajs-3957	82	2	2	2	NUM
iajs-3957	82	3	.	.	NOUN
iajs-3957	82	4	point	point	NOUN
iajs-3957	82	5	of	of	ADP
iajs-3957	82	6	intersection	intersection	NOUN
iajs-3957	82	7	ruthenium	ruthenium	NOUN
iajs-3957	82	8	with	with	ADP
iajs-3957	82	9	thickness	thickness	NOUN
iajs-3957	82	10	.	.	PUNCT
iajs-3957	83	1	then	then	ADV
iajs-3957	83	2	as	as	SCONJ
iajs-3957	83	3	indicated	indicate	VERB
iajs-3957	83	4	in	in	ADP
iajs-3957	83	5	equation	equation	NOUN
iajs-3957	83	6	(	(	PUNCT
iajs-3957	83	7	8)	8)	NUM
iajs-3957	83	8	application	application	NOUN
iajs-3957	83	9	.	.	PUNCT
iajs-3957	84	1	determine	determine	VERB
iajs-3957	84	2	the	the	DET
iajs-3957	84	3	surface	surface	NOUN
iajs-3957	84	4	scattering	scatter	VERB
iajs-3957	84	5	coefficient	coefficient	NOUN
iajs-3957	84	6	(	(	PUNCT
iajs-3957	84	7	𝑝	𝑝	NOUN
iajs-3957	84	8	)	)	PUNCT
iajs-3957	84	9	for	for	ADP
iajs-3957	84	10	ru	ru	NOUN
iajs-3957	84	11	,	,	PUNCT
iajs-3957	84	12	where	where	SCONJ
iajs-3957	84	13	(	(	PUNCT
iajs-3957	84	14	𝑝𝑅𝑢=	𝑝𝑅𝑢=	NOUN
iajs-3957	84	15	0.6	0.6	NUM
iajs-3957	84	16	)	)	PUNCT
iajs-3957	84	17	(	(	PUNCT
iajs-3957	84	18	33,34	33,34	NOUN
iajs-3957	84	19	)	)	PUNCT
iajs-3957	84	20	.	.	PUNCT
iajs-3957	85	1	based	base	VERB
iajs-3957	85	2	on	on	ADP
iajs-3957	85	3	total	total	ADJ
iajs-3957	85	4	scattering	scattering	NOUN
iajs-3957	85	5	,	,	PUNCT
iajs-3957	85	6	as	as	SCONJ
iajs-3957	85	7	shown	show	VERB
iajs-3957	85	8	in	in	ADP
iajs-3957	85	9	the	the	DET
iajs-3957	85	10	figures	figure	NOUN
iajs-3957	85	11	below	below	ADP
iajs-3957	85	12	figure	figure	NOUN
iajs-3957	85	13	3	3	NUM
iajs-3957	85	14	.	.	NOUN
iajs-3957	85	15	0	0	NUM
iajs-3957	85	16	5	5	NUM
iajs-3957	85	17	10	10	NUM
iajs-3957	85	18	15	15	NUM
iajs-3957	85	19	20	20	NUM
iajs-3957	85	20	25	25	NUM
iajs-3957	85	21	0	0	NUM
iajs-3957	85	22	10	10	NUM
iajs-3957	85	23	20	20	NUM
iajs-3957	85	24	30	30	NUM
iajs-3957	85	25	40	40	NUM
iajs-3957	85	26	50	50	NUM
iajs-3957	85	27	𝜌	𝜌	X
iajs-3957	85	28	(	(	PUNCT
iajs-3957	85	29	µ	µ	DET
iajs-3957	85	30	𝛺	𝛺	NOUN
iajs-3957	85	31	.	.	PUNCT
iajs-3957	86	1	c	c	NOUN
iajs-3957	86	2	m	m	VERB
iajs-3957	87	1	(	(	PUNCT
iajs-3957	87	2	d	d	X
iajs-3957	87	3	(	(	PUNCT
iajs-3957	87	4	nm	nm	PROPN
iajs-3957	87	5	(	(	PUNCT
iajs-3957	87	6	ru	ru	PROPN
iajs-3957	87	7	ρ.orginal	ρ.orginal	PROPN
iajs-3957	87	8	y	y	PROPN
iajs-3957	87	9	=	=	SYM
iajs-3957	87	10	7.878x	7.878x	NUM
iajs-3957	87	11	+	+	CCONJ
iajs-3957	87	12	68.03	68.03	NUM
iajs-3957	87	13	0	0	NUM
iajs-3957	87	14	50	50	NUM
iajs-3957	87	15	100	100	NUM
iajs-3957	87	16	150	150	NUM
iajs-3957	87	17	200	200	NUM
iajs-3957	87	18	250	250	NUM
iajs-3957	87	19	300	300	NUM
iajs-3957	87	20	350	350	NUM
iajs-3957	87	21	400	400	NUM
iajs-3957	87	22	450	450	NUM
iajs-3957	87	23	500	500	NUM
iajs-3957	87	24	0	0	NUM
iajs-3957	87	25	10	10	NUM
iajs-3957	87	26	20	20	NUM
iajs-3957	87	27	30	30	NUM
iajs-3957	87	28	40	40	NUM
iajs-3957	87	29	50	50	NUM
iajs-3957	87	30	𝜌	𝜌	ADP
iajs-3957	87	31	𝑑	𝑑	PROPN
iajs-3957	87	32	(	(	PUNCT
iajs-3957	87	33	µ	µ	DET
iajs-3957	87	34	𝛺	𝛺	NOUN
iajs-3957	87	35	.	.	PUNCT
iajs-3957	88	1	𝑐	𝑐	NOUN
iajs-3957	88	2	𝑚	𝑚	NOUN
iajs-3957	88	3	^2	^2	PUNCT
iajs-3957	88	4	)	)	PUNCT
iajs-3957	89	1	d	d	X
iajs-3957	89	2	(	(	PUNCT
iajs-3957	89	3	nm	nm	NOUN
iajs-3957	89	4	)	)	PUNCT
iajs-3957	89	5	ru	ru	PROPN
iajs-3957	89	6	ihjpas	ihjpas	PROPN
iajs-3957	89	7	.	.	PUNCT
iajs-3957	90	1	2025	2025	NUM
iajs-3957	90	2	,	,	PUNCT
iajs-3957	90	3	38	38	NUM
iajs-3957	90	4	(	(	PUNCT
iajs-3957	90	5	1	1	NUM
iajs-3957	90	6	)	)	PUNCT
iajs-3957	90	7	157	157	NUM
iajs-3957	90	8	figure3	figure3	NOUN
iajs-3957	90	9	.	.	PUNCT
iajs-3957	91	1	theoretical	theoretical	ADJ
iajs-3957	91	2	changing	changing	NOUN
iajs-3957	91	3	of	of	ADP
iajs-3957	91	4	the	the	DET
iajs-3957	91	5	resistivity	resistivity	NOUN
iajs-3957	91	6	and	and	CCONJ
iajs-3957	91	7	thickness	thickness	NOUN
iajs-3957	91	8	of	of	ADP
iajs-3957	91	9	ruthenium	ruthenium	NOUN
iajs-3957	91	10	.	.	PUNCT
iajs-3957	92	1	using	use	VERB
iajs-3957	92	2	the	the	DET
iajs-3957	92	3	m.s	m.s	PROPN
iajs-3957	92	4	.	.	PROPN
iajs-3957	92	5	model	model	PROPN
iajs-3957	92	6	,	,	PUNCT
iajs-3957	92	7	equation	equation	NOUN
iajs-3957	92	8	(	(	PUNCT
iajs-3957	92	9	10	10	NUM
iajs-3957	92	10	)	)	PUNCT
iajs-3957	92	11	calculated	calculate	VERB
iajs-3957	92	12	the	the	DET
iajs-3957	92	13	reflection	reflection	NOUN
iajs-3957	92	14	coefficient	coefficient	NOUN
iajs-3957	92	15	for	for	ADP
iajs-3957	92	16	ruthenium	ruthenium	NOUN
iajs-3957	92	17	at	at	ADP
iajs-3957	92	18	grain	grain	NOUN
iajs-3957	92	19	boundaries	boundary	NOUN
iajs-3957	92	20	.	.	PUNCT
iajs-3957	93	1	additionally	additionally	ADV
iajs-3957	93	2	,	,	PUNCT
iajs-3957	93	3	the	the	DET
iajs-3957	93	4	value	value	NOUN
iajs-3957	93	5	of	of	ADP
iajs-3957	93	6	bulk	bulk	ADJ
iajs-3957	93	7	resistivity	resistivity	NOUN
iajs-3957	93	8	for	for	ADP
iajs-3957	93	9	ru	ru	PROPN
iajs-3957	93	10	(	(	PUNCT
iajs-3957	93	11	𝜌0	𝜌0	NOUN
iajs-3957	93	12	=	=	SYM
iajs-3957	93	13	6.8	6.8	NUM
iajs-3957	93	14	×	×	NOUN
iajs-3957	93	15	10−8	10−8	NUM
iajs-3957	93	16	ωm	ωm	X
iajs-3957	93	17	)	)	PUNCT
iajs-3957	93	18	,	,	PUNCT
iajs-3957	93	19	(	(	PUNCT
iajs-3957	93	20	𝑙0	𝑙0	NOUN
iajs-3957	93	21	=	=	SYM
iajs-3957	93	22	6.6	6.6	NUM
iajs-3957	93	23	nm	nm	NOUN
iajs-3957	93	24	)	)	PUNCT
iajs-3957	93	25	,	,	PUNCT
iajs-3957	93	26	ln	ln	X
iajs-3957	93	27	(	(	PUNCT
iajs-3957	93	28	𝜌0𝑙0	𝜌0𝑙0	SYM
iajs-3957	93	29	=	=	SYM
iajs-3957	93	30	51.48	51.48	NUM
iajs-3957	93	31	×	×	NOUN
iajs-3957	93	32	10−17ω𝑚2	10−17ω𝑚2	NUM
iajs-3957	93	33	)	)	PUNCT
iajs-3957	93	34	(	(	PUNCT
iajs-3957	93	35	33	33	NUM
iajs-3957	93	36	-	-	SYM
iajs-3957	93	37	37	37	NUM
iajs-3957	93	38	)	)	PUNCT
iajs-3957	93	39	.	.	PUNCT
iajs-3957	94	1	as	as	ADP
iajs-3957	94	2	the	the	DET
iajs-3957	94	3	result	result	NOUN
iajs-3957	94	4	shown	show	VERB
iajs-3957	94	5	in	in	ADP
iajs-3957	94	6	the	the	DET
iajs-3957	94	7	staying	stay	VERB
iajs-3957	94	8	figure	figure	NOUN
iajs-3957	94	9	4	4	NUM
iajs-3957	94	10	,	,	PUNCT
iajs-3957	94	11	we	we	PRON
iajs-3957	94	12	computed	compute	VERB
iajs-3957	94	13	the	the	DET
iajs-3957	94	14	new	new	ADJ
iajs-3957	94	15	resistivity	resistivity	NOUN
iajs-3957	94	16	by	by	ADP
iajs-3957	94	17	applying	apply	VERB
iajs-3957	94	18	the	the	DET
iajs-3957	94	19	surface	surface	NOUN
iajs-3957	94	20	scattering	scatter	VERB
iajs-3957	94	21	coefficient	coefficient	NOUN
iajs-3957	94	22	(	(	PUNCT
iajs-3957	94	23	p	p	NOUN
iajs-3957	94	24	)	)	PUNCT
iajs-3957	94	25	and	and	CCONJ
iajs-3957	94	26	reflection	reflection	NOUN
iajs-3957	94	27	coefficient	coefficient	NOUN
iajs-3957	94	28	(	(	PUNCT
iajs-3957	94	29	r	r	NOUN
iajs-3957	94	30	)	)	PUNCT
iajs-3957	94	31	in	in	ADP
iajs-3957	94	32	equation	equation	NOUN
iajs-3957	94	33	10	10	NUM
iajs-3957	94	34	for	for	ADP
iajs-3957	94	35	ru	ru	PROPN
iajs-3957	94	36	.	.	PUNCT
iajs-3957	95	1	the	the	DET
iajs-3957	95	2	mayadas	mayadas	PROPN
iajs-3957	95	3	-	-	PUNCT
iajs-3957	95	4	shatzkes	shatzke	NOUN
iajs-3957	95	5	model	model	NOUN
iajs-3957	95	6	takes	take	VERB
iajs-3957	95	7	into	into	ADP
iajs-3957	95	8	consideration	consideration	NOUN
iajs-3957	95	9	three	three	NUM
iajs-3957	95	10	scattering	scatter	VERB
iajs-3957	95	11	mechanisms	mechanism	NOUN
iajs-3957	95	12	,	,	PUNCT
iajs-3957	95	13	namely	namely	ADV
iajs-3957	95	14	background	background	NOUN
iajs-3957	95	15	scattering	scattering	NOUN
iajs-3957	95	16	,	,	PUNCT
iajs-3957	95	17	grain	grain	NOUN
iajs-3957	95	18	-	-	PUNCT
iajs-3957	95	19	boundary	boundary	NOUN
iajs-3957	95	20	scattering	scattering	NOUN
iajs-3957	95	21	,	,	PUNCT
iajs-3957	95	22	and	and	CCONJ
iajs-3957	95	23	external	external	ADJ
iajs-3957	95	24	surface	surface	NOUN
iajs-3957	95	25	scattering	scattering	NOUN
iajs-3957	95	26	.	.	PUNCT
iajs-3957	96	1	background	background	NOUN
iajs-3957	96	2	scattering	scatter	VERB
iajs-3957	96	3	refers	refer	VERB
iajs-3957	96	4	to	to	ADP
iajs-3957	96	5	the	the	DET
iajs-3957	96	6	scattering	scattering	NOUN
iajs-3957	96	7	of	of	ADP
iajs-3957	96	8	particles	particle	NOUN
iajs-3957	96	9	in	in	ADP
iajs-3957	96	10	the	the	DET
iajs-3957	96	11	same	same	ADJ
iajs-3957	96	12	direction	direction	NOUN
iajs-3957	96	13	in	in	ADP
iajs-3957	96	14	which	which	PRON
iajs-3957	96	15	they	they	PRON
iajs-3957	96	16	radiate	radiate	VERB
iajs-3957	96	17	after	after	ADP
iajs-3957	96	18	passing	pass	VERB
iajs-3957	96	19	through	through	ADP
iajs-3957	96	20	a	a	DET
iajs-3957	96	21	thick	thick	ADJ
iajs-3957	96	22	material	material	NOUN
iajs-3957	96	23	.	.	PUNCT
iajs-3957	97	1	grain	grain	NOUN
iajs-3957	97	2	-	-	PUNCT
iajs-3957	97	3	boundary	boundary	NOUN
iajs-3957	97	4	scattering	scattering	NOUN
iajs-3957	97	5	,	,	PUNCT
iajs-3957	97	6	on	on	ADP
iajs-3957	97	7	the	the	DET
iajs-3957	97	8	other	other	ADJ
iajs-3957	97	9	hand	hand	NOUN
iajs-3957	97	10	,	,	PUNCT
iajs-3957	97	11	is	be	AUX
iajs-3957	97	12	caused	cause	VERB
iajs-3957	97	13	by	by	ADP
iajs-3957	97	14	binary	binary	ADJ
iajs-3957	97	15	defects	defect	NOUN
iajs-3957	97	16	in	in	ADP
iajs-3957	97	17	the	the	DET
iajs-3957	97	18	crystalline	crystalline	ADJ
iajs-3957	97	19	structure	structure	NOUN
iajs-3957	97	20	of	of	ADP
iajs-3957	97	21	a	a	DET
iajs-3957	97	22	solid	solid	NOUN
iajs-3957	97	23	that	that	PRON
iajs-3957	97	24	reduce	reduce	VERB
iajs-3957	97	25	electrical	electrical	ADJ
iajs-3957	97	26	conductivity	conductivity	NOUN
iajs-3957	97	27	.	.	PUNCT
iajs-3957	98	1	finally	finally	ADV
iajs-3957	98	2	,	,	PUNCT
iajs-3957	98	3	external	external	ADJ
iajs-3957	98	4	surface	surface	NOUN
iajs-3957	98	5	scattering	scatter	VERB
iajs-3957	98	6	results	result	NOUN
iajs-3957	98	7	in	in	ADP
iajs-3957	98	8	a	a	DET
iajs-3957	98	9	reduction	reduction	NOUN
iajs-3957	98	10	of	of	ADP
iajs-3957	98	11	electrical	electrical	ADJ
iajs-3957	98	12	conductivity	conductivity	NOUN
iajs-3957	98	13	as	as	SCONJ
iajs-3957	98	14	the	the	DET
iajs-3957	98	15	scattered	scatter	VERB
iajs-3957	98	16	electron	electron	NOUN
iajs-3957	98	17	loses	lose	VERB
iajs-3957	98	18	its	its	PRON
iajs-3957	98	19	velocity	velocity	NOUN
iajs-3957	98	20	along	along	ADP
iajs-3957	98	21	the	the	DET
iajs-3957	98	22	direction	direction	NOUN
iajs-3957	98	23	parallel	parallel	ADJ
iajs-3957	98	24	to	to	ADP
iajs-3957	98	25	the	the	DET
iajs-3957	98	26	surface	surface	NOUN
iajs-3957	98	27	of	of	ADP
iajs-3957	98	28	the	the	DET
iajs-3957	98	29	conduction	conduction	NOUN
iajs-3957	98	30	direction	direction	NOUN
iajs-3957	98	31	(	(	PUNCT
iajs-3957	98	32	5	5	NUM
iajs-3957	98	33	)	)	PUNCT
iajs-3957	98	34	.	.	PUNCT
iajs-3957	99	1	figure	figure	VERB
iajs-3957	99	2	4	4	NUM
iajs-3957	99	3	.	.	PUNCT
iajs-3957	100	1	resistivity	resistivity	NOUN
iajs-3957	100	2	and	and	CCONJ
iajs-3957	100	3	thickness	thickness	NOUN
iajs-3957	100	4	of	of	ADP
iajs-3957	100	5	ruthenium	ruthenium	NOUN
iajs-3957	100	6	.	.	PUNCT
iajs-3957	100	7	0	0	NUM
iajs-3957	101	1	5	5	NUM
iajs-3957	101	2	10	10	NUM
iajs-3957	101	3	15	15	NUM
iajs-3957	101	4	20	20	NUM
iajs-3957	101	5	25	25	NUM
iajs-3957	101	6	30	30	NUM
iajs-3957	101	7	0	0	NUM
iajs-3957	101	8	10	10	NUM
iajs-3957	101	9	20	20	NUM
iajs-3957	101	10	30	30	NUM
iajs-3957	101	11	40	40	NUM
iajs-3957	101	12	50	50	NUM
iajs-3957	101	13	𝜌	𝜌	X
iajs-3957	101	14	(	(	PUNCT
iajs-3957	101	15	µ	µ	DET
iajs-3957	101	16	𝛺	𝛺	NOUN
iajs-3957	101	17	.	.	PUNCT
iajs-3957	101	18	𝑐	𝑐	NOUN
iajs-3957	101	19	𝑚	𝑚	NOUN
iajs-3957	101	20	)	)	PUNCT
iajs-3957	101	21	d	d	PROPN
iajs-3957	101	22	(	(	PUNCT
iajs-3957	101	23	nm	nm	NOUN
iajs-3957	101	24	)	)	PUNCT
iajs-3957	101	25	ru	ru	PROPN
iajs-3957	101	26	ρ.p=0.6	ρ.p=0.6	PROPN
iajs-3957	101	27	ρ.orginal	ρ.orginal	ADJ
iajs-3957	101	28	0	0	NUM
iajs-3957	101	29	5	5	NUM
iajs-3957	101	30	10	10	NUM
iajs-3957	101	31	15	15	NUM
iajs-3957	101	32	20	20	NUM
iajs-3957	101	33	25	25	NUM
iajs-3957	101	34	0	0	NUM
iajs-3957	101	35	10	10	NUM
iajs-3957	101	36	20	20	NUM
iajs-3957	101	37	30	30	NUM
iajs-3957	101	38	40	40	NUM
iajs-3957	101	39	50	50	NUM
iajs-3957	101	40	𝜌	𝜌	X
iajs-3957	101	41	(	(	PUNCT
iajs-3957	101	42	µ	µ	DET
iajs-3957	101	43	𝛺	𝛺	NOUN
iajs-3957	101	44	.	.	PUNCT
iajs-3957	102	1	c	c	NOUN
iajs-3957	102	2	m	m	NOUN
iajs-3957	102	3	)	)	PUNCT
iajs-3957	103	1	d	d	PROPN
iajs-3957	103	2	(	(	PUNCT
iajs-3957	103	3	nm	nm	NOUN
iajs-3957	103	4	)	)	PUNCT
iajs-3957	103	5	ru	ru	PROPN
iajs-3957	103	6	ρ.p=0.6	ρ.p=0.6	PROPN
iajs-3957	103	7	ρ.orginal	ρ.orginal	ADJ
iajs-3957	103	8	ρ.r=0.043	ρ.r=0.043	PROPN
iajs-3957	103	9	ihjpas	ihjpa	NOUN
iajs-3957	103	10	.	.	PUNCT
iajs-3957	104	1	2025	2025	NUM
iajs-3957	104	2	,	,	PUNCT
iajs-3957	104	3	38	38	NUM
iajs-3957	104	4	(	(	PUNCT
iajs-3957	104	5	1	1	NUM
iajs-3957	104	6	)	)	PUNCT
iajs-3957	104	7	158	158	NUM
iajs-3957	104	8	4	4	NUM
iajs-3957	104	9	.	.	PUNCT
iajs-3957	104	10	conclusion	conclusion	VERB
iajs-3957	104	11	the	the	DET
iajs-3957	104	12	electrical	electrical	ADJ
iajs-3957	104	13	resistivity	resistivity	NOUN
iajs-3957	104	14	of	of	ADP
iajs-3957	104	15	ru	ru	PROPN
iajs-3957	104	16	metal	metal	NOUN
iajs-3957	104	17	was	be	AUX
iajs-3957	104	18	calculated	calculate	VERB
iajs-3957	104	19	in	in	ADP
iajs-3957	104	20	this	this	DET
iajs-3957	104	21	study	study	NOUN
iajs-3957	104	22	using	use	VERB
iajs-3957	104	23	the	the	DET
iajs-3957	104	24	boltzmann	boltzmann	PROPN
iajs-3957	104	25	equation	equation	NOUN
iajs-3957	104	26	's	's	PART
iajs-3957	104	27	solution	solution	NOUN
iajs-3957	104	28	due	due	ADP
iajs-3957	104	29	to	to	ADP
iajs-3957	104	30	its	its	PRON
iajs-3957	104	31	strong	strong	ADJ
iajs-3957	104	32	electrical	electrical	ADJ
iajs-3957	104	33	conductivity	conductivity	NOUN
iajs-3957	104	34	and	and	CCONJ
iajs-3957	104	35	numerous	numerous	ADJ
iajs-3957	104	36	other	other	ADJ
iajs-3957	104	37	advantages	advantage	NOUN
iajs-3957	104	38	,	,	PUNCT
iajs-3957	104	39	the	the	DET
iajs-3957	104	40	most	most	ADV
iajs-3957	104	41	important	important	ADJ
iajs-3957	104	42	being	be	AUX
iajs-3957	104	43	its	its	PRON
iajs-3957	104	44	use	use	NOUN
iajs-3957	104	45	in	in	ADP
iajs-3957	104	46	electrical	electrical	ADJ
iajs-3957	104	47	and	and	CCONJ
iajs-3957	104	48	electronic	electronic	ADJ
iajs-3957	104	49	circuits	circuit	NOUN
iajs-3957	104	50	to	to	PART
iajs-3957	104	51	produce	produce	VERB
iajs-3957	104	52	electronic	electronic	ADJ
iajs-3957	104	53	chips	chip	NOUN
iajs-3957	104	54	.	.	PUNCT
iajs-3957	105	1	utilizing	utilize	VERB
iajs-3957	105	2	a	a	DET
iajs-3957	105	3	fermi	fermi	NOUN
iajs-3957	105	4	surface	surface	NOUN
iajs-3957	105	5	,	,	PUNCT
iajs-3957	105	6	fuchs	fuchs	PROPN
iajs-3957	105	7	-	-	PUNCT
iajs-3957	105	8	sondheimer	sondheimer	NOUN
iajs-3957	105	9	observed	observe	VERB
iajs-3957	105	10	a	a	DET
iajs-3957	105	11	phenomenon	phenomenon	NOUN
iajs-3957	105	12	known	know	VERB
iajs-3957	105	13	as	as	ADP
iajs-3957	105	14	the	the	DET
iajs-3957	105	15	size	size	NOUN
iajs-3957	105	16	effect	effect	NOUN
iajs-3957	105	17	hypothesis	hypothesis	NOUN
iajs-3957	105	18	for	for	ADP
iajs-3957	105	19	the	the	DET
iajs-3957	105	20	free	free	ADJ
iajs-3957	105	21	electron	electron	NOUN
iajs-3957	105	22	model	model	NOUN
iajs-3957	105	23	.	.	PUNCT
iajs-3957	106	1	the	the	DET
iajs-3957	106	2	statistical	statistical	ADJ
iajs-3957	106	3	analysis	analysis	NOUN
iajs-3957	106	4	used	use	VERB
iajs-3957	106	5	in	in	ADP
iajs-3957	106	6	their	their	PRON
iajs-3957	106	7	theory	theory	NOUN
iajs-3957	106	8	is	be	AUX
iajs-3957	106	9	based	base	VERB
iajs-3957	106	10	on	on	ADP
iajs-3957	106	11	the	the	DET
iajs-3957	106	12	boltzmann	boltzmann	PROPN
iajs-3957	106	13	equation	equation	NOUN
iajs-3957	106	14	,	,	PUNCT
iajs-3957	106	15	which	which	PRON
iajs-3957	106	16	describes	describe	VERB
iajs-3957	106	17	the	the	DET
iajs-3957	106	18	distribution	distribution	NOUN
iajs-3957	106	19	of	of	ADP
iajs-3957	106	20	conduction	conduction	NOUN
iajs-3957	106	21	.	.	PUNCT
iajs-3957	107	1	as	as	ADP
iajs-3957	107	2	a	a	DET
iajs-3957	107	3	result	result	NOUN
iajs-3957	107	4	,	,	PUNCT
iajs-3957	107	5	f.s	f.s	PROPN
iajs-3957	107	6	.	.	PROPN
iajs-3957	107	7	theory	theory	NOUN
iajs-3957	107	8	is	be	AUX
iajs-3957	107	9	also	also	ADV
iajs-3957	107	10	used	use	VERB
iajs-3957	107	11	to	to	PART
iajs-3957	107	12	describe	describe	VERB
iajs-3957	107	13	conduction	conduction	NOUN
iajs-3957	107	14	electron	electron	NOUN
iajs-3957	107	15	scattering	scatter	VERB
iajs-3957	107	16	on	on	ADP
iajs-3957	107	17	metal	metal	NOUN
iajs-3957	107	18	surfaces	surface	NOUN
iajs-3957	107	19	,	,	PUNCT
iajs-3957	107	20	focusing	focus	VERB
iajs-3957	107	21	on	on	ADP
iajs-3957	107	22	background	background	NOUN
iajs-3957	107	23	scattering	scattering	NOUN
iajs-3957	107	24	and	and	CCONJ
iajs-3957	107	25	grain	grain	NOUN
iajs-3957	107	26	boundaries	boundary	NOUN
iajs-3957	107	27	.	.	PUNCT
iajs-3957	108	1	the	the	DET
iajs-3957	108	2	fuchs	fuchs	PROPN
iajs-3957	108	3	-	-	PUNCT
iajs-3957	108	4	sondheier	sondheier	NOUN
iajs-3957	108	5	model	model	NOUN
iajs-3957	108	6	-	-	PUNCT
iajs-3957	108	7	based	base	VERB
iajs-3957	108	8	equation	equation	NOUN
iajs-3957	108	9	8	8	NUM
iajs-3957	108	10	was	be	AUX
iajs-3957	108	11	used	use	VERB
iajs-3957	108	12	to	to	PART
iajs-3957	108	13	calculate	calculate	VERB
iajs-3957	108	14	the	the	DET
iajs-3957	108	15	surface	surface	NOUN
iajs-3957	108	16	scattering	scatter	VERB
iajs-3957	108	17	coefficient	coefficient	NOUN
iajs-3957	108	18	.	.	PUNCT
iajs-3957	109	1	in	in	ADP
iajs-3957	109	2	contrast	contrast	NOUN
iajs-3957	109	3	,	,	PUNCT
iajs-3957	109	4	equation	equation	NOUN
iajs-3957	109	5	10	10	NUM
iajs-3957	109	6	was	be	AUX
iajs-3957	109	7	used	use	VERB
iajs-3957	109	8	to	to	PART
iajs-3957	109	9	obtain	obtain	VERB
iajs-3957	109	10	the	the	DET
iajs-3957	109	11	grainboundary	grainboundary	NOUN
iajs-3957	109	12	reflection	reflection	NOUN
iajs-3957	109	13	coefficient	coefficient	NOUN
iajs-3957	109	14	,	,	PUNCT
iajs-3957	109	15	which	which	PRON
iajs-3957	109	16	is	be	AUX
iajs-3957	109	17	based	base	VERB
iajs-3957	109	18	on	on	ADP
iajs-3957	109	19	the	the	DET
iajs-3957	109	20	f.s	f.s	PROPN
iajs-3957	109	21	and	and	CCONJ
iajs-3957	109	22	m.s	m.s	PROPN
iajs-3957	109	23	models	model	NOUN
iajs-3957	109	24	.	.	PUNCT
iajs-3957	110	1	in	in	ADP
iajs-3957	110	2	conclusion	conclusion	NOUN
iajs-3957	110	3	,	,	PUNCT
iajs-3957	110	4	using	use	VERB
iajs-3957	110	5	bulk	bulk	ADJ
iajs-3957	110	6	resistivity	resistivity	NOUN
iajs-3957	110	7	reveals	reveal	VERB
iajs-3957	110	8	an	an	DET
iajs-3957	110	9	inverse	inverse	NOUN
iajs-3957	110	10	relationship	relationship	NOUN
iajs-3957	110	11	between	between	ADP
iajs-3957	110	12	thickness	thickness	NOUN
iajs-3957	110	13	and	and	CCONJ
iajs-3957	110	14	electrical	electrical	ADJ
iajs-3957	110	15	resistivity	resistivity	NOUN
iajs-3957	110	16	,	,	PUNCT
iajs-3957	110	17	increasing	increase	VERB
iajs-3957	110	18	resistivity	resistivity	NOUN
iajs-3957	110	19	as	as	SCONJ
iajs-3957	110	20	thickness	thickness	NOUN
iajs-3957	110	21	decreases	decrease	VERB
iajs-3957	110	22	.	.	PUNCT
iajs-3957	111	1	acknowledgment	acknowledgment	NOUN
iajs-3957	111	2	i	i	PRON
iajs-3957	111	3	am	be	AUX
iajs-3957	111	4	grateful	grateful	ADJ
iajs-3957	111	5	to	to	PART
iajs-3957	111	6	(	(	PUNCT
iajs-3957	111	7	prof	prof	PROPN
iajs-3957	111	8	.	.	PUNCT
iajs-3957	112	1	may	may	AUX
iajs-3957	112	2	a.s	a.s	PROPN
iajs-3957	112	3	.	.	PROPN
iajs-3957	112	4	mohammed	mohammed	PROPN
iajs-3957	112	5	najeeb	najeeb	PROPN
iajs-3957	112	6	)	)	PUNCT
iajs-3957	112	7	and	and	CCONJ
iajs-3957	112	8	the	the	DET
iajs-3957	112	9	ibn	ibn	PROPN
iajs-3957	112	10	a1	a1	PROPN
iajs-3957	112	11	-	-	PUNCT
iajs-3957	112	12	haitham	haitham	PROPN
iajs-3957	112	13	college	college	NOUN
iajs-3957	112	14	of	of	ADP
iajs-3957	112	15	pure	pure	ADJ
iajs-3957	112	16	science	science	NOUN
iajs-3957	112	17	education	education	NOUN
iajs-3957	112	18	at	at	ADP
iajs-3957	112	19	the	the	DET
iajs-3957	112	20	university	university	NOUN
iajs-3957	112	21	of	of	ADP
iajs-3957	112	22	baghdad	baghdad	PROPN
iajs-3957	112	23	.	.	PUNCT
iajs-3957	113	1	i	i	PRON
iajs-3957	113	2	also	also	ADV
iajs-3957	113	3	want	want	VERB
iajs-3957	113	4	to	to	PART
iajs-3957	113	5	express	express	VERB
iajs-3957	113	6	my	my	PRON
iajs-3957	113	7	gratitude	gratitude	NOUN
iajs-3957	113	8	to	to	ADP
iajs-3957	113	9	my	my	PRON
iajs-3957	113	10	wonderful	wonderful	ADJ
iajs-3957	113	11	family	family	NOUN
iajs-3957	113	12	for	for	ADP
iajs-3957	113	13	helping	help	VERB
iajs-3957	113	14	me	i	PRON
iajs-3957	113	15	to	to	PART
iajs-3957	113	16	continue	continue	VERB
iajs-3957	113	17	my	my	PRON
iajs-3957	113	18	education	education	NOUN
iajs-3957	113	19	.	.	PUNCT
iajs-3957	114	1	conflict	conflict	NOUN
iajs-3957	114	2	of	of	ADP
iajs-3957	114	3	interest	interest	NOUN
iajs-3957	114	4	no	no	DET
iajs-3957	114	5	conflicts	conflict	NOUN
iajs-3957	114	6	of	of	ADP
iajs-3957	114	7	interest	interest	NOUN
iajs-3957	114	8	exist	exist	VERB
iajs-3957	114	9	for	for	ADP
iajs-3957	114	10	me	i	PRON
iajs-3957	114	11	.	.	PUNCT
iajs-3957	115	1	funding	fund	VERB
iajs-3957	115	2	the	the	DET
iajs-3957	115	3	article	article	NOUN
iajs-3957	115	4	is	be	AUX
iajs-3957	115	5	not	not	PART
iajs-3957	115	6	supported	support	VERB
iajs-3957	115	7	financially	financially	ADV
iajs-3957	115	8	.	.	PUNCT
iajs-3957	116	1	ethical	ethical	ADJ
iajs-3957	116	2	clearance	clearance	NOUN
iajs-3957	116	3	no	no	DET
iajs-3957	116	4	animals	animal	NOUN
iajs-3957	116	5	were	be	AUX
iajs-3957	116	6	used	use	VERB
iajs-3957	116	7	in	in	ADP
iajs-3957	116	8	this	this	DET
iajs-3957	116	9	study	study	NOUN
iajs-3957	116	10	.	.	PUNCT
iajs-3957	117	1	references	reference	NOUN
iajs-3957	117	2	1	1	NUM
iajs-3957	117	3	.	.	PUNCT
iajs-3957	117	4	cheng	cheng	PROPN
iajs-3957	117	5	yl	yl	PROPN
iajs-3957	117	6	,	,	PUNCT
iajs-3957	117	7	lee	lee	PROPN
iajs-3957	117	8	cy	cy	PROPN
iajs-3957	117	9	,	,	PUNCT
iajs-3957	117	10	huang	huang	PROPN
iajs-3957	117	11	yl	yl	PROPN
iajs-3957	117	12	.	.	PUNCT
iajs-3957	118	1	properties	property	NOUN
iajs-3957	118	2	and	and	CCONJ
iajs-3957	118	3	applications	application	NOUN
iajs-3957	118	4	of	of	ADP
iajs-3957	118	5	ruthenium	ruthenium	NOUN
iajs-3957	118	6	.	.	PUNCT
iajs-3957	119	1	intech	intech	PROPN
iajs-3957	119	2	open	open	PROPN
iajs-3957	119	3	.	.	PUNCT
iajs-3957	120	1	2016;11(13):377	2016;11(13):377	X
iajs-3957	120	2	-	-	SYM
iajs-3957	120	3	390	390	NUM
iajs-3957	120	4	.	.	PUNCT
iajs-3957	121	1	https://doi:10.5772	https://doi:10.5772	PROPN
iajs-3957	121	2	/	/	SYM
iajs-3957	121	3	intechopen.76393	intechopen.76393	PROPN
iajs-3957	121	4	2	2	NUM
iajs-3957	121	5	.	.	PUNCT
iajs-3957	121	6	sahu	sahu	PROPN
iajs-3957	121	7	ak	ak	PROPN
iajs-3957	121	8	,	,	PUNCT
iajs-3957	121	9	dash	dash	NOUN
iajs-3957	121	10	dk	dk	PROPN
iajs-3957	121	11	,	,	PUNCT
iajs-3957	121	12	mishra	mishra	PROPN
iajs-3957	121	13	k	k	PROPN
iajs-3957	121	14	,	,	PUNCT
iajs-3957	121	15	mishra	mishra	PROPN
iajs-3957	121	16	sp	sp	PROPN
iajs-3957	121	17	,	,	PUNCT
iajs-3957	121	18	yadav	yadav	PROPN
iajs-3957	121	19	r	r	PROPN
iajs-3957	121	20	,	,	PUNCT
iajs-3957	121	21	kashyap	kashyap	PROPN
iajs-3957	121	22	p.	p.	NOUN
iajs-3957	121	23	properties	property	NOUN
iajs-3957	121	24	and	and	CCONJ
iajs-3957	121	25	applications	application	NOUN
iajs-3957	121	26	of	of	ADP
iajs-3957	121	27	ruthenium	ruthenium	NOUN
iajs-3957	121	28	.	.	PUNCT
iajs-3957	122	1	in	in	ADP
iajs-3957	122	2	noble	noble	ADJ
iajs-3957	122	3	and	and	CCONJ
iajs-3957	122	4	precious	precious	ADJ
iajs-3957	122	5	metals	metal	NOUN
iajs-3957	122	6	-	-	PUNCT
iajs-3957	122	7	properties	property	NOUN
iajs-3957	122	8	,	,	PUNCT
iajs-3957	122	9	nanoscale	nanoscale	NOUN
iajs-3957	122	10	effects	effect	NOUN
iajs-3957	122	11	and	and	CCONJ
iajs-3957	122	12	applications	application	NOUN
iajs-3957	122	13	.	.	PUNCT
iajs-3957	123	1	intech	intech	PROPN
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iajs-3957	124	2	-	-	SYM
iajs-3957	124	3	34	34	NUM
iajs-3957	124	4	.	.	PUNCT
iajs-3957	125	1	https://doi:10.5772	https://doi:10.5772	PROPN
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iajs-3957	125	10	m.	m.	NOUN
iajs-3957	125	11	the	the	DET
iajs-3957	125	12	effect	effect	NOUN
iajs-3957	125	13	of	of	ADP
iajs-3957	125	14	surface	surface	NOUN
iajs-3957	125	15	roughness	roughness	NOUN
iajs-3957	125	16	on	on	ADP
iajs-3957	125	17	the	the	DET
iajs-3957	125	18	resistivity	resistivity	NOUN
iajs-3957	125	19	increase	increase	NOUN
iajs-3957	125	20	in	in	ADP
iajs-3957	125	21	nanometric	nanometric	ADJ
iajs-3957	125	22	dimensions	dimension	NOUN
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iajs-3957	126	1	j	j	PROPN
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iajs-3957	126	4	.	.	PUNCT
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iajs-3957	127	2	-	-	SYM
iajs-3957	127	3	8	8	NUM
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iajs-3957	127	5	https://doi:10.1063/1.2204349	https://doi:10.1063/1.2204349	NUM
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iajs-3957	127	7	.	.	PUNCT
iajs-3957	127	8	lim	lim	PROPN
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iajs-3957	127	10	,	,	PUNCT
iajs-3957	127	11	mimura	mimura	PROPN
iajs-3957	127	12	k	k	PROPN
iajs-3957	127	13	,	,	PUNCT
iajs-3957	127	14	isshiki	isshiki	PROPN
iajs-3957	127	15	m.	m.	NOUN
iajs-3957	127	16	thickness	thickness	NOUN
iajs-3957	127	17	dependence	dependence	NOUN
iajs-3957	127	18	of	of	ADP
iajs-3957	127	19	resistivity	resistivity	NOUN
iajs-3957	127	20	for	for	ADP
iajs-3957	127	21	cu	cu	PROPN
iajs-3957	127	22	films	film	NOUN
iajs-3957	127	23	deposited	deposit	VERB
iajs-3957	127	24	by	by	ADP
iajs-3957	127	25	ion	ion	NOUN
iajs-3957	127	26	beam	beam	NOUN
iajs-3957	127	27	deposition	deposition	NOUN
iajs-3957	127	28	.	.	PUNCT
iajs-3957	128	1	appl	appl	PROPN
iajs-3957	128	2	surf	surf	PROPN
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iajs-3957	128	6	-	-	SYM
iajs-3957	128	7	99	99	NUM
iajs-3957	128	8	.	.	PUNCT
iajs-3957	129	1	https://doi:10.1016	https://doi:10.1016	PROPN
iajs-3957	129	2	/	/	SYM
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iajs-3957	129	4	-	-	PUNCT
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iajs-3957	129	6	5	5	NUM
iajs-3957	129	7	.	.	PUNCT
iajs-3957	130	1	dutta	dutta	PROPN
iajs-3957	130	2	sk	sk	PROPN
iajs-3957	130	3	,	,	PUNCT
iajs-3957	130	4	moors	moor	NOUN
iajs-3957	130	5	k.	k.	PROPN
iajs-3957	130	6	thickness	thickness	PROPN
iajs-3957	130	7	dependence	dependence	NOUN
iajs-3957	130	8	of	of	ADP
iajs-3957	130	9	the	the	DET
iajs-3957	130	10	resistivity	resistivity	NOUN
iajs-3957	130	11	of	of	ADP
iajs-3957	130	12	platinum	platinum	NOUN
iajs-3957	130	13	-	-	PUNCT
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iajs-3957	131	1	j	j	PROPN
iajs-3957	131	2	appl	appl	PROPN
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iajs-3957	131	4	.	.	PUNCT
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iajs-3957	132	2	-	-	SYM
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iajs-3957	132	4	.	.	PUNCT
iajs-3957	133	1	https://doi:10.1016	https://doi:10.1016	PROPN
iajs-3957	133	2	/	/	SYM
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iajs-3957	133	4	-	-	PUNCT
iajs-3957	133	5	4332(03)00522	4332(03)00522	NOUN
iajs-3957	133	6	-	-	PUNCT
iajs-3957	133	7	1	1	NUM
iajs-3957	133	8	7	7	NUM
iajs-3957	133	9	.	.	PUNCT
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iajs-3957	134	7	in	in	ADP
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iajs-3957	134	9	metals	metal	NOUN
iajs-3957	134	10	.	.	PUNCT
iajs-3957	135	1	j	j	PROPN
iajs-3957	135	2	appl	appl	PROPN
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iajs-3957	135	4	.	.	PUNCT
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iajs-3957	136	2	-	-	SYM
iajs-3957	136	3	5	5	NUM
iajs-3957	136	4	.	.	NOUN
iajs-3957	136	5	https://doi:10.1063/1.4942216	https://doi:10.1063/1.4942216	NUM
iajs-3957	136	6	8	8	NUM
iajs-3957	136	7	.	.	PUNCT
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iajs-3957	137	2	l	l	PROPN
iajs-3957	137	3	,	,	PUNCT
iajs-3957	137	4	arenas	arenas	PROPN
iajs-3957	137	5	c	c	NOUN
iajs-3957	137	6	,	,	PUNCT
iajs-3957	137	7	henriquez	henriquez	NOUN
iajs-3957	137	8	r	r	NOUN
iajs-3957	137	9	,	,	PUNCT
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iajs-3957	137	14	b.	b.	PROPN
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iajs-3957	138	4	of	of	ADP
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iajs-3957	138	6	metallic	metallic	ADJ
iajs-3957	138	7	films	film	NOUN
iajs-3957	138	8	.	.	PUNCT
iajs-3957	139	1	phys	phy	NOUN
iajs-3957	139	2	.	.	PUNCT
iajs-3957	139	3	b.	b.	PROPN
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iajs-3957	139	6	.	.	PUNCT
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iajs-3957	140	2	.	.	PUNCT
iajs-3957	140	3	https://doi:10.1016	https://doi:10.1016	PROPN
iajs-3957	140	4	/	/	SYM
iajs-3957	140	5	j.physb.2016.07.001	j.physb.2016.07.001	PROPN
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iajs-3957	140	7	.	.	PUNCT
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iajs-3957	140	9	l	l	PROPN
iajs-3957	140	10	,	,	PUNCT
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iajs-3957	140	13	,	,	PUNCT
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iajs-3957	140	21	b.	b.	PROPN
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iajs-3957	141	7	grain	grain	NOUN
iajs-3957	141	8	-	-	PUNCT
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iajs-3957	141	10	https://doi:10.5772	https://doi:10.5772	PROPN
iajs-3957	141	11	/	/	SYM
iajs-3957	141	12	intechopen.76393	intechopen.76393	PROPN
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iajs-3957	141	14	/	/	SYM
iajs-3957	141	15	intechopen.76393	intechopen.76393	PROPN
iajs-3957	141	16	https://doi:10.1063/1.2204349	https://doi:10.1063/1.2204349	NUM
iajs-3957	141	17	https://doi:10.1016	https://doi:10.1016	PROPN
iajs-3957	141	18	/	/	SYM
iajs-3957	141	19	s0169	s0169	PROPN
iajs-3957	141	20	-	-	PUNCT
iajs-3957	141	21	4332(03)00522	4332(03)00522	PROPN
iajs-3957	141	22	https://doi:10.1016	https://doi:10.1016	PROPN
iajs-3957	141	23	/	/	SYM
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iajs-3957	141	25	-	-	PUNCT
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iajs-3957	141	27	-	-	PUNCT
iajs-3957	141	28	1	1	NUM
iajs-3957	141	29	https://doi:10.1063/1.4942216	https://doi:10.1063/1.4942216	NUM
iajs-3957	141	30	https://doi:10.1016	https://doi:10.1016	PROPN
iajs-3957	141	31	/	/	SYM
iajs-3957	141	32	j.physb.2016.07.001	j.physb.2016.07.001	PROPN
iajs-3957	141	33	ihjpas	ihjpas	PROPN
iajs-3957	141	34	.	.	PUNCT
iajs-3957	142	1	2025	2025	NUM
iajs-3957	142	2	,	,	PUNCT
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iajs-3957	142	5	1	1	NUM
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iajs-3957	142	7	159	159	NUM
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iajs-3957	142	9	on	on	ADP
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iajs-3957	142	11	electrical	electrical	ADJ
iajs-3957	142	12	conductivity	conductivity	NOUN
iajs-3957	142	13	of	of	ADP
iajs-3957	142	14	thin	thin	ADJ
iajs-3957	142	15	metallic	metallic	ADJ
iajs-3957	142	16	wires	wire	NOUN
iajs-3957	142	17	,	,	PUNCT
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iajs-3957	142	19	.	.	PUNCT
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iajs-3957	143	5	.	.	PUNCT
iajs-3957	144	1	2015;252:219–229	2015;252:219–229	NUM
iajs-3957	144	2	.	.	PUNCT
iajs-3957	145	1	https://doi:10.1002	https://doi:10.1002	PROPN
iajs-3957	145	2	/	/	SYM
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iajs-3957	145	5	.	.	PUNCT
iajs-3957	146	1	tellier	tellier	PROPN
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iajs-3957	146	3	,	,	PUNCT
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iajs-3957	146	6	.	.	PUNCT
iajs-3957	147	1	a	a	DET
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iajs-3957	147	15	.	.	PUNCT
iajs-3957	148	1	thin	thin	ADJ
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iajs-3957	148	4	.	.	PUNCT
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iajs-3957	149	2	-	-	PUNCT
iajs-3957	149	3	317	317	NUM
iajs-3957	149	4	.	.	PUNCT
iajs-3957	150	1	https://doi:10.1016/0040	https://doi:10.1016/0040	PROPN
iajs-3957	150	2	-	-	PUNCT
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iajs-3957	150	4	-	-	NUM
iajs-3957	150	5	6	6	NUM
iajs-3957	150	6	11	11	NUM
iajs-3957	150	7	.	.	PUNCT
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iajs-3957	152	9	film	film	NOUN
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iajs-3957	152	11	,	,	PUNCT
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iajs-3957	152	13	-	-	PUNCT
iajs-3957	152	14	120	120	NUM
iajs-3957	152	15	.	.	PUNCT
iajs-3957	153	1	http://essuir.sumdu.edu.ua/handle/123456789/59581	http://essuir.sumdu.edu.ua/handle/123456789/59581	PROPN
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iajs-3957	153	3	.	.	PUNCT
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iajs-3957	154	8	-	-	PUNCT
iajs-3957	154	9	layer	layer	NOUN
iajs-3957	154	10	metallic	metallic	ADJ
iajs-3957	154	11	films	film	NOUN
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iajs-3957	155	1	concrete	concrete	ADJ
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iajs-3957	155	3	.	.	PUNCT
iajs-3957	156	1	2012;7:184	2012;7:184	X
iajs-3957	156	2	-	-	SYM
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iajs-3957	156	4	.	.	PUNCT
iajs-3957	157	1	https://doi:10.1201	https://doi:10.1201	PROPN
iajs-3957	157	2	/	/	SYM
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iajs-3957	157	4	-	-	PUNCT
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iajs-3957	157	7	.	.	PUNCT
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iajs-3957	158	6	in	in	ADP
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iajs-3957	158	8	-	-	PUNCT
iajs-3957	158	9	layer	layer	NOUN
iajs-3957	158	10	metallic	metallic	ADJ
iajs-3957	158	11	films	film	NOUN
iajs-3957	158	12	.	.	PUNCT
iajs-3957	159	1	thin	thin	ADJ
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iajs-3957	159	4	.	.	PUNCT
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iajs-3957	160	2	-	-	SYM
iajs-3957	160	3	444	444	NUM
iajs-3957	160	4	.	.	PUNCT
iajs-3957	161	1	https://doi.org/10.1016/0040-6090(71)90040-x	https://doi.org/10.1016/0040-6090(71)90040-x	NOUN
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iajs-3957	161	3	.	.	PUNCT
iajs-3957	162	1	mirigliano	mirigliano	PROPN
iajs-3957	162	2	m	m	PROPN
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iajs-3957	164	4	.	.	PUNCT
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iajs-3957	165	5	.	.	PUNCT
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iajs-3957	166	6	,	,	PUNCT
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iajs-3957	166	14	k	k	PROPN
iajs-3957	166	15	,	,	PUNCT
iajs-3957	166	16	ikuta	ikuta	PROPN
iajs-3957	166	17	t.	t.	PROPN
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iajs-3957	166	19	of	of	ADP
iajs-3957	166	20	grain	grain	NOUN
iajs-3957	166	21	boundary	boundary	ADJ
iajs-3957	166	22	scattering	scattering	NOUN
iajs-3957	166	23	on	on	ADP
iajs-3957	166	24	the	the	DET
iajs-3957	166	25	electrical	electrical	ADJ
iajs-3957	166	26	properties	property	NOUN
iajs-3957	166	27	of	of	ADP
iajs-3957	166	28	platinum	platinum	NOUN
iajs-3957	166	29	nanofilms	nanofilm	NOUN
iajs-3957	166	30	.	.	PUNCT
iajs-3957	167	1	appl	appl	PROPN
iajs-3957	167	2	phys	phy	NOUN
iajs-3957	167	3	.	.	PUNCT
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iajs-3957	168	2	-	-	SYM
iajs-3957	168	3	3	3	NUM
iajs-3957	168	4	.	.	PUNCT
iajs-3957	169	1	https://doi:10.1063	https://doi:10.1063	PROPN
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iajs-3957	170	2	.	.	PUNCT
iajs-3957	171	1	jin	jin	PROPN
iajs-3957	171	2	js	js	PROPN
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iajs-3957	171	6	,	,	PUNCT
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iajs-3957	171	8	o.	o.	PROPN
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iajs-3957	171	11	mean	mean	VERB
iajs-3957	171	12	free	free	ADJ
iajs-3957	171	13	path	path	NOUN
iajs-3957	171	14	and	and	CCONJ
iajs-3957	171	15	thermal	thermal	ADJ
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iajs-3957	171	17	predictions	prediction	NOUN
iajs-3957	171	18	of	of	ADP
iajs-3957	171	19	metallic	metallic	ADJ
iajs-3957	171	20	thin	thin	ADJ
iajs-3957	171	21	films	film	NOUN
iajs-3957	171	22	.	.	PUNCT
iajs-3957	172	1	appl	appl	PROPN
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iajs-3957	172	3	.	.	PUNCT
iajs-3957	173	1	let	let	VERB
iajs-3957	173	2	.	.	PUNCT
iajs-3957	174	1	2008;92(17):1–4	2008;92(17):1–4	NOUN
iajs-3957	174	2	.	.	PUNCT
iajs-3957	175	1	https://doi:10.1063/1.2917454	https://doi:10.1063/1.2917454	NUM
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iajs-3957	175	3	.	.	PUNCT
iajs-3957	176	1	meteab	meteab	PROPN
iajs-3957	176	2	fa	fa	PROPN
iajs-3957	176	3	,	,	PUNCT
iajs-3957	176	4	mohammed	mohammed	PROPN
iajs-3957	176	5	ma	ma	PROPN
iajs-3957	176	6	,	,	PUNCT
iajs-3957	176	7	kanbur	kanbur	PROPN
iajs-3957	176	8	u.	u.	VERB
iajs-3957	176	9	the	the	DET
iajs-3957	176	10	effect	effect	NOUN
iajs-3957	176	11	of	of	ADP
iajs-3957	176	12	phonons	phonon	NOUN
iajs-3957	176	13	-	-	PUNCT
iajs-3957	176	14	surface	surface	NOUN
iajs-3957	176	15	and	and	CCONJ
iajs-3957	176	16	grain	grain	NOUN
iajs-3957	176	17	-	-	PUNCT
iajs-3957	176	18	boundary	boundary	NOUN
iajs-3957	176	19	scattering	scattering	NOUN
iajs-3957	176	20	on	on	ADP
iajs-3957	176	21	electrical	electrical	ADJ
iajs-3957	176	22	properties	property	NOUN
iajs-3957	176	23	of	of	ADP
iajs-3957	176	24	metallic	metallic	ADJ
iajs-3957	176	25	ag	ag	PROPN
iajs-3957	176	26	.	.	PUNCT
iajs-3957	177	1	ibn	ibn	PROPN
iajs-3957	177	2	al	al	PROPN
iajs-3957	177	3	-	-	PUNCT
iajs-3957	177	4	haitham	haitham	PROPN
iajs-3957	177	5	j	j	PROPN
iajs-3957	177	6	pure	pure	PROPN
iajs-3957	177	7	appl	appl	PROPN
iajs-3957	177	8	sci	sci	PROPN
iajs-3957	177	9	.	.	PUNCT
iajs-3957	178	1	2023;36(4):182	2023;36(4):182	PROPN
iajs-3957	178	2	-	-	PUNCT
iajs-3957	178	3	187	187	NUM
iajs-3957	178	4	.	.	PUNCT
iajs-3957	179	1	https://doi.org/10.30526/36.4.3234	https://doi.org/10.30526/36.4.3234	ADJ
iajs-3957	179	2	18	18	NUM
iajs-3957	179	3	.	.	PUNCT
iajs-3957	180	1	udachan	udachan	PROPN
iajs-3957	180	2	l	l	PROPN
iajs-3957	180	3	,	,	PUNCT
iajs-3957	180	4	shiva	shiva	NOUN
iajs-3957	180	5	l	l	PROPN
iajs-3957	180	6	,	,	PUNCT
iajs-3957	180	7	ayachit	ayachit	VERB
iajs-3957	180	8	n	n	CCONJ
iajs-3957	180	9	,	,	PUNCT
iajs-3957	180	10	banagar	banagar	NOUN
iajs-3957	180	11	a	a	DET
iajs-3957	180	12	,	,	PUNCT
iajs-3957	180	13	kolkundi	kolkundi	PROPN
iajs-3957	180	14	s	s	NOUN
iajs-3957	180	15	,	,	PUNCT
iajs-3957	180	16	bhairamadagi	bhairamadagi	PROPN
iajs-3957	180	17	s.	s.	PROPN
iajs-3957	180	18	impact	impact	NOUN
iajs-3957	180	19	of	of	ADP
iajs-3957	180	20	substrate	substrate	NOUN
iajs-3957	180	21	temperature	temperature	NOUN
iajs-3957	180	22	on	on	ADP
iajs-3957	180	23	surface	surface	NOUN
iajs-3957	180	24	and	and	CCONJ
iajs-3957	180	25	grain	grain	NOUN
iajs-3957	180	26	boundary	boundary	ADJ
iajs-3957	180	27	reflection	reflection	NOUN
iajs-3957	180	28	in	in	ADP
iajs-3957	180	29	thin	thin	ADJ
iajs-3957	180	30	chromium	chromium	NOUN
iajs-3957	180	31	nanofilms	nanofilm	NOUN
iajs-3957	180	32	.	.	PUNCT
iajs-3957	181	1	j	j	PROPN
iajs-3957	181	2	phys	phys	PROPN
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iajs-3957	181	4	ser	ser	NOUN
iajs-3957	181	5	.	.	PUNCT
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iajs-3957	182	2	-	-	SYM
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iajs-3957	182	4	.	.	PUNCT
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iajs-3957	182	6	/	/	SYM
iajs-3957	182	7	bf00552414	bf00552414	NOUN
iajs-3957	182	8	19	19	NUM
iajs-3957	182	9	.	.	PUNCT
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iajs-3957	183	9	,	,	PUNCT
iajs-3957	183	10	wang	wang	PROPN
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iajs-3957	183	12	,	,	PUNCT
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iajs-3957	183	23	resistivity	resistivity	NOUN
iajs-3957	183	24	and	and	CCONJ
iajs-3957	183	25	reliability	reliability	NOUN
iajs-3957	183	26	at	at	ADP
iajs-3957	183	27	48	48	NUM
iajs-3957	183	28	nm	nm	ADJ
iajs-3957	183	29	pitch	pitch	NOUN
iajs-3957	183	30	.	.	PUNCT
iajs-3957	184	1	in	in	ADP
iajs-3957	184	2	2016	2016	NUM
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iajs-3957	184	5	interconnect	interconnect	NOUN
iajs-3957	184	6	technology	technology	NOUN
iajs-3957	184	7	conference	conference	NOUN
iajs-3957	184	8	/	/	SYM
iajs-3957	184	9	advanced	advanced	ADJ
iajs-3957	184	10	metallization	metallization	NOUN
iajs-3957	184	11	conference	conference	NOUN
iajs-3957	184	12	(	(	PUNCT
iajs-3957	184	13	iitc	iitc	PROPN
iajs-3957	184	14	/	/	SYM
iajs-3957	184	15	amc	amc	PROPN
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iajs-3957	184	17	.	.	PUNCT
iajs-3957	185	1	2016;23(3):31–33	2016;23(3):31–33	X
iajs-3957	185	2	.	.	PUNCT
iajs-3957	185	3	https://doi:10.1109	https://doi:10.1109	PROPN
iajs-3957	185	4	/	/	SYM
iajs-3957	185	5	iitc	iitc	PROPN
iajs-3957	185	6	-	-	PUNCT
iajs-3957	185	7	amc.2016	amc.2016	PROPN
iajs-3957	185	8	.	.	PUNCT
iajs-3957	185	9	7507650	7507650	NUM
iajs-3957	185	10	20	20	NUM
iajs-3957	185	11	.	.	PUNCT
iajs-3957	186	1	gall	gall	PROPN
iajs-3957	186	2	d.	d.	PROPN
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iajs-3957	186	4	search	search	NOUN
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iajs-3957	186	6	the	the	DET
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iajs-3957	186	9	metal	metal	NOUN
iajs-3957	186	10	for	for	ADP
iajs-3957	186	11	narrow	narrow	ADJ
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iajs-3957	186	13	lines	line	NOUN
iajs-3957	186	14	.	.	PUNCT
iajs-3957	187	1	j	j	PROPN
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iajs-3957	187	4	.	.	PUNCT
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iajs-3957	188	2	-	-	SYM
iajs-3957	188	3	134	134	NUM
iajs-3957	188	4	.	.	PUNCT
iajs-3957	188	5	https://doi.org/10.1063/1.5133671	https://doi.org/10.1063/1.5133671	PROPN
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iajs-3957	188	7	.	.	PUNCT
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iajs-3957	188	9	fam	fam	PROPN
iajs-3957	188	10	,	,	PUNCT
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iajs-3957	188	12	ma	ma	PROPN
iajs-3957	188	13	.	.	PUNCT
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iajs-3957	189	3	of	of	ADP
iajs-3957	189	4	phonons	phonon	NOUN
iajs-3957	189	5	-	-	PUNCT
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iajs-3957	189	9	-	-	PUNCT
iajs-3957	189	10	boundary	boundary	NOUN
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iajs-3957	189	12	on	on	ADP
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iajs-3957	189	14	properties	property	NOUN
iajs-3957	189	15	of	of	ADP
iajs-3957	189	16	metallic	metallic	PROPN
iajs-3957	189	17	al	al	PROPN
iajs-3957	189	18	,	,	PUNCT
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iajs-3957	189	20	.	.	PROPN
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iajs-3957	190	5	.	.	PUNCT
iajs-3957	191	1	2023;3018(1	2023;3018(1	NOUN
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iajs-3957	191	3	.	.	PUNCT
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iajs-3957	192	3	.	.	PUNCT
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iajs-3957	193	3	,	,	PUNCT
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iajs-3957	193	9	,	,	PUNCT
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iajs-3957	193	12	,	,	PUNCT
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iajs-3957	193	27	-	-	PUNCT
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iajs-3957	194	1	aip	aip	PROPN
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iajs-3957	195	2	-	-	SYM
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iajs-3957	195	4	.	.	PUNCT
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iajs-3957	196	3	.	.	PUNCT
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iajs-3957	197	2	r.	r.	PROPN
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iajs-3957	197	7	and	and	CCONJ
iajs-3957	197	8	the	the	DET
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iajs-3957	197	10	of	of	ADP
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iajs-3957	197	13	structures	structure	NOUN
iajs-3957	197	14	.	.	PUNCT
iajs-3957	198	1	the	the	DET
iajs-3957	198	2	american	american	PROPN
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iajs-3957	198	5	.	.	PUNCT
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iajs-3957	199	2	.	.	PUNCT
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iajs-3957	199	4	/	/	SYM
iajs-3957	199	5	physrevb.82.113409	physrevb.82.113409	NOUN
iajs-3957	199	6	24	24	NUM
iajs-3957	199	7	.	.	PUNCT
iajs-3957	200	1	kim	kim	PROPN
iajs-3957	200	2	ms	ms	PROPN
iajs-3957	200	3	.	.	PROPN
iajs-3957	200	4	scaling	scale	VERB
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iajs-3957	200	6	of	of	ADP
iajs-3957	200	7	ru	ru	PROPN
iajs-3957	200	8	,	,	PUNCT
iajs-3957	200	9	rh	rh	PROPN
iajs-3957	200	10	,	,	PUNCT
iajs-3957	200	11	and	and	CCONJ
iajs-3957	200	12	ir	ir	PROPN
iajs-3957	200	13	for	for	ADP
iajs-3957	200	14	future	future	ADJ
iajs-3957	200	15	generation	generation	NOUN
iajs-3957	200	16	metallization	metallization	NOUN
iajs-3957	200	17	.	.	PUNCT
iajs-3957	201	1	ieee	ieee	PROPN
iajs-3957	201	2	j	j	PROPN
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iajs-3957	201	4	devices	devices	PROPN
iajs-3957	201	5	soc	soc	PROPN
iajs-3957	201	6	..	..	PUNCT
iajs-3957	201	7	2023;11:399–405	2023;11:399–405	X
iajs-3957	201	8	.	.	PUNCT
iajs-3957	202	1	https://doi:10.1109	https://doi:10.1109	PROPN
iajs-3957	202	2	/	/	SYM
iajs-3957	202	3	jeds.2023.3292298	jeds.2023.3292298	PROPN
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iajs-3957	202	5	.	.	PUNCT
iajs-3957	202	6	shiva	shiva	PROPN
iajs-3957	202	7	l	l	PROPN
iajs-3957	202	8	,	,	PUNCT
iajs-3957	202	9	ayachit	ayachit	VERB
iajs-3957	202	10	n	n	CCONJ
iajs-3957	202	11	,	,	PUNCT
iajs-3957	202	12	udachan	udachan	ADP
iajs-3957	202	13	l	l	NOUN
iajs-3957	202	14	,	,	PUNCT
iajs-3957	202	15	banagar	banagar	NOUN
iajs-3957	202	16	a	a	DET
iajs-3957	202	17	,	,	PUNCT
iajs-3957	202	18	kolkundi	kolkundi	PROPN
iajs-3957	202	19	s	s	NOUN
iajs-3957	202	20	,	,	PUNCT
iajs-3957	202	21	bhairamadagi	bhairamadagi	PROPN
iajs-3957	202	22	s.	s.	PROPN
iajs-3957	202	23	a	a	DET
iajs-3957	202	24	study	study	NOUN
iajs-3957	202	25	on	on	ADP
iajs-3957	202	26	nucleation	nucleation	NOUN
iajs-3957	202	27	,	,	PUNCT
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iajs-3957	202	29	and	and	CCONJ
iajs-3957	202	30	grain	grain	NOUN
iajs-3957	202	31	boundary	boundary	ADJ
iajs-3957	202	32	reflection	reflection	NOUN
iajs-3957	202	33	in	in	ADP
iajs-3957	202	34	thin	thin	ADJ
iajs-3957	202	35	tin	tin	NOUN
iajs-3957	202	36	nanofilms	nanofilm	NOUN
iajs-3957	202	37	.	.	PUNCT
iajs-3957	203	1	j	j	PROPN
iajs-3957	203	2	phys	phys	PROPN
iajs-3957	203	3	conf	conf	NOUN
iajs-3957	203	4	ser	ser	NOUN
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iajs-3957	215	4	.	.	PUNCT
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iajs-3957	220	4	-	-	SYM
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