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BONDING IN HYDROGENATED AMORPHOUS SILICON
H. Shanks, F. Jeffrey, M. Lowry
To cite this version:
H. Shanks, F. Jeffrey, M. Lowry. BONDING IN HYDROGENATED AMORPHOUS SILICON.
Journal de Physique Colloques, 1981, 42 (C4), pp.C4-773-C4-777. �10.1051/jphyscol:19814169�. �jpa-
00220793�
JOURNAL DE PHYSIQUE
ColZoque C4, suppl6ment au n070, Tome 42, octobre 1981 page C4-773
BONDING IN HYDROGENATED AMORPHOUS SILICON
H . R . S h a n k s , F.R. J e f f r e y and M.E. Lowry
Amcs Laboratory-USDOE:,
*
.Towir S t u t e U n i v e r s i t y , Ames, IA 5001 1, U . S. A .A b s t r a c t . - A model f o r t h e H d i s t r i b u t i o n a n d b o n d i n g s t r u c t u r e i n a-Si:H i s p r e s e n t e d b a s e d on new NMR and i r a b s o r p t i o n d a t a . The model i s c a p a b l e o f e x p l a i n i n g p r e v i o u s d i s c r e p a n c i e s i n t h e i n t e r p r e t a t i o n of t h e i r a b s o r p t i o n d a t a w i t h o u t i n c l u d i n g o s c i l l a t o r s t r e n g t h s which v a r y w i t h H d e n s i t y . T h r e e t y p e s of H d i s t r i b u t i o n s a r e c o n s i d e r e d . F i r s t , t h e t y p i c a l Si-H2 f o r m w h i c h h a s a s t r e t c h i n g mode a t 2100 cm-' and a b e n d i n g mode a t 8 9 0 cm-' i s i n c l u d e d . A d d i t i o n a l l y , two d i s t r i b u t i o n s of Si-H b o n d s a r e i n c l u d e d ; a d i l u t e , random d i s t r i b u t i o n which h a s a n i r s t r e t c h i n g mode a t 2000 cm-l and a c l u s t e r e d form w h i c h h a s i t s i r s t r e t c h i n g mode n e a r 2090 cm-l. L o c a l H d e n s i t i e s and s a m p l e wide a v e r a g e H d e n s i t i e s f o r t h e s e two f o r m s of Si-H bonds a r e d e t e r - mined from t h e NMR s p e c t r u m . T h i s NMR d a t a i s c o r r e l a t e d w i t h t h e i r a b s o r p - t i o n d a t a t o c a l c u l a t e a f i x e d o s c i l l a t o r s t r e n g t h f o r e a c h of t h e t h r e e t y p e s of H d i s t r i b u t i o n .
I n t r o d u c t i o n . - The l o c a l h y d r o g e n e n v i r o n m e n t i n h y d r o g e n a t e d amorphous s i l i c o n h a s b e e n t h e s u b j e c t of a number of s t u d i e s i n r e c e n t y e a r s . The most d e t a i l e d
i n f o r m a t i o n t o d a t e on t h e h y d r o g e n b o n d i n g h a s come from i n f r a r e d a b s o r p t i o n m e a s u r e m e n t s ( 1 , 2 , 3 ) . R e c e n t l y ( 4 ) p r o t o n NMR s t u d i e s h a v e f u r t h e r e l u c i d a t e d t h e h y d r o g e n e n v i r o n m e n t . T h i s p a p e r c o r r e l a t e s t h e i r a n d hUR d a t a and p r e s e n t s a model f o r t h e hydrogen d i s t r i b u t i o n and b o n d i n g s t r u c t u r e i n a-Si:H b a s e d on t h e s e d a t a . S a m p l e s f o r t h e m e a s u r e m e n t s d i s c u s s e d h e r e w e r e a l l p r e p a r e d by t h e r e a c t i v e r f s p u t t e r i n g of s i l i c o n i n a h y d r o g e n doped a r g o n a t m o s p h e r e a s d e s c r i b e d
p r e v i o u s l y ( 5 ) .
I n f r a r e d A b s o r p t i o n Measurements.- The i n f r a r e d a b s o r p t i o n m e a s u r e m e n t s w e r e made on f i l m s d e p o s i t e d on c r y s t a l l i n e s i l i c o n s u b s t r a t e s . The d a t a were a n a l y z e d f o l l o w i n g t h e method d e s c r i b e d i n r e f e r e n c e s 1 a n d 3 . The i n t e g r a t e d a b s o r p t i o n , I , was o b a - n e d f o r e a c h o f t h e v a r i o u s a b s o r p t i o n b a n d s from t h e r e l a t i o n s h i p ,
1 = ~ G d d u , w h e r e o ( u ) i s t h e a b s o r p t i o n c o e f f i c i e n t of t h e s a m p l e a t t h e wave number u. The number o f o s c i l l a t o r s o r h y d r o g e n bonds c o n t r i b u t i n g t o a g i v e n band, N , c a n t h e n be c a l c u l a t e d f r o m N = A 1 where t h e p r e f a c t o r A i s d e t e r m i n e d
e m p i r i c a l l y . S h a n k s
&.
( 3 ) h a v e d e t e r m i n e d a v a l u e of A = 1.6x1019 f o r t h e 6 4 0 cm-' wagging mode u s i n g a n u c l e a r r e a c t i o n t e c h n i q u e t o o b t a i n a ni n d e p e n d e n t measurement of t h e t o t a l h y d r o g e n c o n c e n t r a t i o n . R e c e n t l y t h i s v a l u e was c o n f i r m e d by J o h n
S G .
( 6 ) . I n t h i s work we h a v e assumed t h e v a l i d i t y of t h i s d e t e r m i n a t i o n i n c a l c u l a t i n g t h e v a l u e s o f A f o r t h e o t h e r modes.Both S h a n k s
&.
( 3 ) and J o h n e t a l . ( 6 ) r e p o r t e d a n o n l i n e a r r e l a t i o n s h i p b e t w e e n t h e i n t e g r a t e d s t r e n g t h of t h e t o t a l s t r e t c h i n g band b e t w e e n 2000 and 2100 cm-' and t h e h y d r o g e n c o n c e n t r a t i o n . S h a n k s e t a l . p o i n t e d o u t t h a t t h e r e s u l t s w e r e c o n s i s t e n t w i t h a h y d r o g e n c o n c e n t r a t i o n d e p e n d e n t o s c i l l a t o r s t r e n g t h f o r t h e Si-H s t r e t c h i n g mode, t h e f r e q u e n c y s h i f t i n g f r o m 2000 t o n e a r 2100 cm-l a s t h eArticle published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:19814169
C4-774 JOURNAL DE PHYSIQUE
number of o t h e r Si-H b o n d s n e a r b y i n c r e a s e d . The p r e s e n c e of s t r e t c h i n g modes n e a r 2100 cm-l which had no c o r r e s p o n d i n g b e n d i n g modes a t 8 9 0 o r 8 4 0 cm-' s t r e n g t h e n e d t h i s model ( F i g . 1 ) . J o h n ( 7 ) r e c e n t l y c a l c u l a t e d a s h i f t of t h e Si-H mode t o w a r d 2100 cmdl w i t h d e c r e a s i n g d i s t a n c e between bonds.
We h a v e now m o d i f i e d t h i s model t o i n c l u d e , i s o l a t e d Si-H bonds r e s p o n s i b l e f o r t h e a b s o r p t i o n a t 2000 cm-l, Si-Hz bonds whose s t r e t c h i n g modes c o n t r i b u t e t o t h e band a t 2100 and whose b e n d i n g modes a r e o b s e r v e d a t 8 9 0 a n d 8 4 0 cm-l and c l u s t e r s of Si-I1 bonds which a b s o r b n e a r 2100 cm-l. U s i n g t h i s model we have c a l c u l a t e d t h e p r o p o r t i o n a l i t y c o n s t a n t f o r e a c h i n d i v i d u a l t y p e of bond.
60-
n
-
'E
4 0 -U U
A s e r i e s of f i l m s were made w h i c h had s t r e t c h i n g b a n d s which c o u l d be r e s o l v e d i n t o a band a t 2000 and a band n e a r 2100 b u t w h i c h had no b e n d i n g modes. Assuming t h a t t h e c o n c e n t r a t i o n s i n t h e two modes were i n d e p e n d e n t , we c a l c u l a t e d t h e two p r o p o r t i o n a l i t y c o n s t a n t s u s i n g t h e t o t a l h y d r o g e n c o n c e n t r a t i o n o b t a i n e d from t h e band a t 6 4 0 cm-l. We t h e n u s e d t h e d a t a r e p o r t e d by S h a n k s e t a l . ( 3 ) on t h e m a g n i t u d e o f t h e b e n d i n g mode v e r s e s t h e s t r e n g t h of t h e 2 1 0 0 ~ 2 ' band t o c a l c u l a t e t h e c o n s t a n t f o r t h e Si-H2 s t r e t c h i n g band and t h e sum of t h e two b e n d i n g modes.
The s e t of f i l m s r e p o r t e d i n t h e i r F i g u r e 5 ( m o d i f i e d i n o u r F i g u r e 1 ) w e r e made u n d e r i d e n t i c a l c o n d i t i o n s e x c e p t f o r t h e c h a n g e i n t h e h y d r o g e n c o n c e n t r a t i o n . A l l of t h e s e f i l m s had a c o n s t a n t c o n t r i b u t i o n a t 2100 due t o Si-H c l u s t e r s ( I R ' 0 a n d IS + C). The c o n s t a n t s c a l c u l a t e d f o r a l l t h e modes a r e l i s t e d i n T a b l e 1.
m
-
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-
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WAVE NUMBER NODE
i n f r a r e d a h s o r p - t i o n and t h e l : i k j : q e l a t i o n s h i p -
b e t w e e n t h e i n t e g r a t e d a b s o r p t i o n o f Lhe s t r e t c h i n g band a t 2100 cm-I and t h e bend- i n g h a n d s sliowing t h a t p a r t o f t h e s t r e t c h i n g band i s n o t a s s o c i a t e d w i t h Si-Hz. [ D a t a from Shanks z t &. ( 3 ) 1
640 840
-
890 2000 -2100 2100 (cn-l)T a I > l e 1 : T h e HAG BEND STRETCH STRETCH STRETCH p r o p o r t i o n a l i t v
c o n s t a n t , f l ,
h y d r o g e n con- l,6xlo1' 2 x 1 0 2 ~ 2 . 2 ~ 1 0 ~ ' 1 . 7 ~ 1 0 ~ ~ 9 . 1 ~ 1 0 ~ ~ ( c M - ~ ) c c t n t r a t i o n .
NMR Measurements.- R e c e n t l y , J e f f r e y and Lowry ( 4 ) c o m p l e t e d NMR m e a s u r e m e n t s on a s e r i e s of s a m p l e s w h i c h had o n l y Si-H b o n d i n g a s d e f i n e d by t h e l a c k of a n y b e n d i n g modes n e a r 840 and 890 cm. They found t h a t t h e f a s t F o u r i e r t r a n s f o r m o f t h e M R f r e e i n d u c t i o n d e c a y c u r v e s c o u l d be r e s o l v e d i n t o t h e sum of a L o r e n t z i a n a n d a G a u s s i a n ( F i g . 2 ) c o r r e s p o n d i n g t o two d i f f e r e n t Si-H d i s t r i b u t i o n s . The n a r r o w L o r e n t z i a n i m p l i e s a g r o u p o f n o n i n t e r a c t i n g d i p o l e s o r d i s t r i b u t e d Si-H b o n d s w h i l e t h e G a u s s i a n i m p l i e s t i g h t c l u s t e r s of Si-H b o n d s . The r e l a t i v e c o n c e n t r a t i o n s o f h y d r o g e n i n e a c h p h a s e v a r i e d w i t h h y d r o g e n c o n c e n t r a t i o n . M e a s u r e m e n t s o f a s a m p l e a s a f u n c t i o n o f t e m p e r a t u r e showed no d i f f e r e n c e i n l i n e s h a p e s o t h a t m o t i o n a l n a r r o w i n g c o u l d be c o n s i d e r e d u n i m p o r t a n t .
1 1 1 1 1 1 1 1 ~ 1 1
700-
-
COO-
5oo-
-
4 0 0 -
-
300-
2 -
a
roo--
f
loo-000 -
F i g . 2 : F o u r i e r t r a n s f o r m o f t h e NMR f r e e i n d u c t i o n d e c a y c u r v e s f o r s a m p l e s w i t h 4% a n d 1 9 % h y d r o g e n . The s o l i d c u r v e s r e p r e s e n t c o m p u t e r o p t i m i z e d f i t s o f t h e sum o f a G a u s s i a n a n d a L o r e n t z i a n a n d t h e i r c o m p o n e n t s .
700
-
6 0 0 -
boo-
-
400-
-
-
O M 800 I600 2400 YO0 M.00
The c o n c e n t r a t i o n of Si-H bonds i n t h e d i s t r i b u t e d p h a s e i n c r e a s e d w i t h i n c r e a s i n g h y d r o g e n c o n c e n t r a t i o n up t o a b o u t 1 2 % w h e r e i t s a t u r a t e d . The
c o n c e n t r a t i o n i n t h e c l u s t e r e d p h a s e c o n t i n u e d t o i n c r e a s e w i t h i n c r e a s i n g h y d r o g e n c o n t e n t ( F i g . 3 ) .
We would l i k e t o p r o p o s e t h a t t h e d i s t r i b u t e d p h a s e c o n s i s t s of i s o l a t e d Si-H b o n d s w h i c h h a v e a n i n f r a r e d a b s o r p t i o n band a t 2000 cm-l. The c l u s t e r e d p h a s e c o n s i s t s of a t i g h t g r o u p o f Si-I1 b o n d s , s i m i l a r p e r h a p s t o a s i l i c o n v a c a n c y w i t h
JOURNAL DE PHYSIQUE
1
7- NMR
6
g ,-
Clustered phase--a-- Distr i buted phose
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8
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.-
C-
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- -
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-
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?
2 4 6 8 10
Total H Demity (1021 cm-3 )
F i g . 3 : The v a r i a t i o n i n t h e c o n c e n t r a t i o n s o f t h e c l u s t e r e d and d i s t r i b u t e d p h a s e s a s a f u n c t i o n o f h y d r o g e n c o n c c n t r a - t i o n . None o f t h e s e s a m p l e s show any d i h y d r i d e bond- i n g a s i n d i c a t e d by t h e l a c k o f a n y b e n d i n g modes n e a r 840 and 890 cm-1.
t h e r e s u l t i n g f o u r d a n g l i n g bonds s a t i s f i e d by f o u r h y d r o g e n a t o m s ( F i g . 4 ) . The f a c t t h a t t h e G a u s s i a n l i n e w i d t h i s i n d e p e n d e n t o f t h e h y d r o g e n c o n c e n t r a t i o n i m p l i e s t h a t t h e c l u s t e r s i z e i s f i x e d , o n l y t h e number of c l u s t e r s c h a n g e . We i d e n t i f y t h e s e c l u s t e r s w i t h t h e Si-H s t r e t c h i n g mode n e a r 2100 cm-l.
C l u s t e r e d Phase
D i s t r i b u t e d
Phase
F i g . 4 : The c l u s - t e r e d and d i s t r i b u t - e d f o r m s o f Si-ll bonds c o n t r i b u t i n g t o t h e G a u s s i a n and L o r e n t z i a n r e s p c c - t i v e l y .D i s c u s s i o n . - The v a l u e s f o r t h e p r o p o r t i o n a l i t y c o n s t a n t , A , l i s t e d i n T a b l e 1 w e r e u s e d t o c a l c u l a t e t h e h y d r o g e n c o n c e n t r a t i o n i n e a c h p h a s e f o r a s e r i e s o f s a m p l e s e x h i b i t i n g n o Si-H b o n d i n g . Assuming t h a t t h e t o t a l h y d r o g e n c o n c e n t r a t i o n o b t a i n e d f r o m t h e 640 cm-l a b s o r p t i o n band was t h e same a s t h e t o t a l h y d r o g e n c o n c e n t r a t i o n o b t a i n e d f r o m t h e NMR m e a s u r e m e n t s , we were a b l e t o f o l l o w t h e c o n c e n t r a t i o n i n e a c h
p h a s e j u s t a s was done f o r t h e NMR d a t a i n F i g . 3. F i g . 5 shows t h e combined i n f r a r e d a b s o r p t i o n a n d NMR r e s u l t s . The t r e n d s w i t h t o t a l h y d r o g e n c o n c e n t r a t i o n a r e v e r y s i m i l a r a l t h o u g h t h e r a t i o s i n t h e two p h a s e s a r e d i f f e r e n t f o r t h e two s e t s of s a m p l e s .
F i g . 5 : Combined r e s u l t s from i n f r a r e d a b s o r p t i o n a n d NMR mea- s u r e m e n t s f o r t h e c l u s t e r e d a n d d i s t r i b u t e d p h a s e s .
TOTAL H DENSITY (to2' cm-3 1
Major d i f f e r e n c e s i n t h e m e t h o d s u s e d t o p r e p a r e t h e two set of s a m p l e s c a n a c c o u n t f o r t h e d i f f e r e n t c o n c e n t r a t i o n r a t i o s . The NMR s a m p l e s were p r e p a r e d on aluminum f o i l c o v e r e d g l a s s s u b s t r a t e s , i n o r d e r t o o b t a i n t h e l a r g e q u a n t i t i e s of s a m p l e r e q u i r e d . The f i l m s f o r i n f r a r e d a b s o r p t i o n were d e p o s i t e d on 1 cm2
c r y s t a l l i n e s i l i c o n s u b s t r a t e s i n a s t a i n l e s s s t e e l h o l d e r . The s e l f b i a s i n g on t h e s u b s t r a t e s was c l e a r l y d i f f e r e n t f o r t h e two sets o f f i l m s . We h a v e f o u n d t h a t c h a n g i n g t h e b i a s on t h e s u b s t r a t e a l l o w s one t o c o n t r o l t h e r a t i o of t h e two p h a s e s o b t a i n e d . F u r t h e r c h a n g e s a r e o b t a i n e d when Si-H2 bonds a r e a l s o formed.
D i s t r i b u t e d a n d c l u s t e r e d Si-H bonds h a v e b e e n i d e n t i f i e d i n h y d r o g e n a t e d amorphous s i l i c o n f i l m s f r o m b o t h i n f r a r e d a b s o r p t i o n and NMR m e a s u r e m e n t s . Q u a n t i f i c a t i o n o f t h e amount of e a c h f o r m i n a f i l m s h o u l d a l l o w one t o d e t e r m i n e t h e i r r e l a t i v e i n f l u e n c e on e l e c t r o n i c p r o p e r t i e s .
* O p e r a t e d f o r t h e U.S. D e p a r t m e n t o f E n e r g y by Iowa S t a t e U n i v e r s i t y u n d e r c o n t r a c t No. W-7405-Eng-82. T h i s r e s e a r c h was s u p p o r t e d by t h e D i r e c t o r o f E n e r g y R e s e a r c h , Off i c e o f B a s i c E n e r g y S c i e n c e s .
R e f e r e n c e s
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1. BRODSKY M. H., CARDONA M. a n d CUOMO J. J . , Phys. Rev. B
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