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Submitted on 1 Jan 1986

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MULTIPLE SCATTERING IN THE EXAFS OF IMIDAZOLE CONTAINING COMPLEXES

R. Strange, S. Hasnain, N. Blackburn, P. Knowles

To cite this version:

R. Strange, S. Hasnain, N. Blackburn, P. Knowles. MULTIPLE SCATTERING IN THE EXAFS OF

IMIDAZOLE CONTAINING COMPLEXES. Journal de Physique Colloques, 1986, 47 (C8), pp.C8-

593-C8-596. �10.1051/jphyscol:19868111�. �jpa-00226008�

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JOURNAL DE PHYSIQUE

Colloque C8, supplement au n° 12, Tome 47, decembre 1986 C8-593

MULTIPLE SC&TTERING IN THE EXAFS OF IMIDAZOLE CONTAINING COMPLEXES

R.W. STRANGE*-**, S.S. HASNAIN*, N.J. BLACKBURN** and P.F. KNOWLES***

* Synchrotron Radiation Source, Daresbury Laboratory, GB-Warrington WR4 4KD, Cheshire, Great-Britain

** Department of Chemistry, UMIST, GB-Manchester M60 1QD, Great-Britain

***Astbury Department of Biophysics, Leeds University, GB-Leeds LS3 9JT, Great-Britain

Atis t r a c t

M u l t i p l e s c a t t e r i n g t r o m the o u t e r s h e l l s of an i m i d a z o l e r i n g c o n t r i b u t e s t r o n g l y in the t'XAFS d a t a o v e r a n e x t e n d e d k - r a n g e a n d it is e s s e n t i a l to i n c o r p o r a t e t h i s for an a c c u r a t e s t r u c t u r e d e t e r m i n a t i o n . W e s h o w that the m u I t ipIe s c a t t e r i n g t or m a I ism is a b l e to p r o d u c e the c o r r e c t

d i s t a n c e s tor all the a t o m s of an i m i d a z o l e r i n g c o o r d i n a t e d to c o p p e r .

Int r o d u c t ion

For m e t a I I o e n z y m e s w h o s e X - r a y a b s o r p t i o n s p e c t r u m is d o m i n a t e d by the p r e s e n c e of h i s t i d i n e l i g a n d s s t r u c t u r a l i n f o r m a t i o n f r o m E X A F S h a s o f t e n b e e n r e s t r i c t e d to the f i r s t a n d s o m e t i m e s s e c o n d s h e l l c o o r d i n a t i o n s p h e r e s e x t e n d i n g c a . 3 . 2 A f r o m the a b s o r b i n g a t o m . A t o m s b e l o n g i n g to i m i d a z o l e r i n g s l y i n g b e y o n d t h i s d i s t a n c e h a v e b e e n f o u n d to g i v e c o r r e c t E X A F S c o n t r i b u t i o n s in the low k r e g i o n o n l y if t h e y a r e a l l o w e d to o c c u p y p o s i t i o n s c a . 0 . 2 - 0 . 3 A s h o r t e r t h a n the e x p e c t e d d i s t a n c e s [ 1 , 2 ] .

T h i s s t u d y p r o v i d e s the f i r s t q u a n t i t a t i v e e x a m i n a t i o n of t h i s p r o b l e m . S i n c e m u l t i p l e s c a t t e r i n g e f f e c t s a r e d e p e n d e n t . u p o n the g e o m e t r y of the l i g a n d s in the m e t a l s i t e , our s t u d y h a s i n i t i a l l y b e e n c o n c e r n e d w i t h an a n a l y s i s of t h e s e e f f e c t s in the E X A F S of c r y s t a I I o g r a p h i c a I Iy w e l l c h a r a c t e r i s e d c o p p e r i m i d a z o l e c o m p o u n d s . T h e s e c o m p o u n d s t h e r e f o r e s e r v e a s a m o d e l for the a c t i v e s i t e s of s e v e r a l c o p p e r c o n t a i n i n g e n z y m e s , s u c h as S u p e r o x i d e D i s m u t a s e a n d D o p a m i n e b - m o n o x y g e n a s e . H e r e w e r e p o r t the d e t a i l e d r e s u l t s o n c o p p e r t e l r a k i s ( i m i d a z o l e ) d i n i t r a t e [ 3 J .

E x p e r irnen t a I

T h e s a m p l e w a s a m e a s u r e d a s a p o w d e r . E X A F S e x p e r i m e n t s w e r e c a r r i e d o u t at l i q u i d n i t r o g e n t e m p e r a t u r e s in t r a n s m i s s i o n m o d e u s i n g b e a m - l i n e 7.1 at the S y n c h r o t r o n R a d i a t i o n S o u r c e at D a r e s b u r y L a b o r a t o r y . T h e S R S w a s o p e r a t e d ai 2 G e v w i t h a m a x i m u m b e a m c u r r e n t of 3 0 0 m A .

Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:19868111

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JOURNAL DE PHYSIQUE

D a t a A n a l y s i s

EXAFS s ~ r n u l a t ~ o n s w e r e c a r r i e d o u t u s i n g t h e OXCClHVE p r o g r a m ( G u r m a n e t a l . , 1 3 8 4 C 4 3 , 798C.;C:;1),, w h i c h 1 s b a s e d u p o n t h e s r n y l e s c a t t e r i n g s p h e r ~ c a l w a v e t h e o r y d e v e l o p e d b y L e e a n d P e n d r y ( 1 Y T 5 C 6 3 ) . M u l t i p l e s c a t t e r i n g c a l c u t a t ~ o r , s w e r e c a r t l e d o u t w i t h r n EXCUHVE b y d e f i n i n g t h e g e o m e t r y o f t h e ~ r n i d a z o l e r ~ n g s f r o m t h e k n o w n c r y s t a l l o g r a p h f c d a t a a n d t h e n s u h m l t i ~ n g a b a c k g r o u n d j o b u s I r ~ g t h e p r o g r a m E X F I T ( B c n s t e d , u n p u b l i s h e d ) .

Multiple S c a t t e r i n g

M u l t i p l e s c a t t e r ~ n g e f f e c t s w e r e f l r s t o b s e r v e d ~ n t h e EXAFS o f c o p p e r f o i l ( L e e a r ~ t l P e n d r y , 1 9 7 5 C d l ) , w h e r e t h e f o t ~ r t t ~ : j h e l I s c a t t e r l n g amplitude w a s f o u n d t o b e l a r g e r t h a n t h a t c a l c u l a t e d b y s l n g l e s c a t t e r i n g t h e o r y .

I n a n . i m ~ d a z o l e r i n g m u [ t i p l e s c a t t e r i n g o c c u r s d u e t o s t r o r r q f o r w a r d s c a t t e r i n g b e t w e e n t h e M I s h e i t a n d t h e r43/C3 a n d (.:2 s h e l l s . 'he m a i n m u l t i p l e s c a t t e r ~ n g p a t h w a y s e > : p e c t e d for l m i d a z o l e a r ~s h o w n i n F i g u r e 1 . M u l t ~ p l e s c a t t e r l n g h a s a s t r o n g a n g u l a r d e p e n d e n c e . T h e s t r o n g e s t f o r w a r d s c a t t e r i n y o c c u r s w h e n t h e a t o m s i n v o l v e d a r e a r r a n g e d c o - 1 { n e a r l y ; f o r a s c a t t e r 11-19 p a t h w a y o f 9 0 ' t h e r n u l t r p l e s c a t t e r i n g I S n e g l ~ g i h l e . F o r C u ( l r n ' 4 ( N C ) 3 ) 2 t h e s c a t t e r l n l a n g l e s a r e 1 6 3 ' ( p a t h w a y C u = N 1 = N 3 / C 3 ) a n d 1 2 5 ' ( p a t h w a y Cu = N 1 = C 2 1 , a s i n d i c a t e d ~ n F ~ g u r e 1 . S l n c e t h e . s c n t t e r ~ r ~ g p a t h w a y . ; a l l l IF! f n t h ? same p l a n e t h i s a n g l e I S sufficient t o d e f l n e t h e g e o m e t r y r e q u i r e d f u r r n u i t r p l e s c a t t e r ~ n r g c a l c i i l a t i o n s . T h e m ~ t l t r p l e s c a t t e r f n : ~ p a r t c . t t h e EXAFS s p e c t r u m I S o b t a ~ n e d b y s u m i ~ n g t h e c o n t r l b u t l o n s f r o m a l l t h e s c a t t e r i n g p a t h w a y s b e t w e e n t h e a b s o r b i t \ g a t o m a n d t h e CZ a r ~ d N 3 / C 3 a t o m s . T h e t o t a l EXAFS of t h e C u a t o m t h e r e f o r e c o n s c s t s o f

t J r r e c t b a c k s c a t t e r i n y cant r i b u t I o n ? f t o m t h e C:2 a n d N 3 / C 3 a t o m s ( s ~ n g l e s c a t t e r ~ n g ) p l u s t h e b a c k s c a t t e i i n g f r o m t h e s e a t o r n s v ~ at h e f I r s t s h e l l n f t r o g a r i ( r r ~ u l t r p l c s c a t t e r ~ n g ) .

EXAFf IEXFERIIIENT) *K**3 ---

1.5 EXAFS (1 HEORY) %K-*3 . - -. . . - -

I

F~~~~~ 2 , EXAFS s ~ m u i a t i o n o f R e p r e s e n t a t i o n o f a n ~ m r d a z o l e r f n g C u ( I m 1 d ) 4 ~ N 0 ' 3 ) 2 .

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R e s u l t s

T h e c r y s t a l s t r u c t u r e p a r a m e t e r s f o r C u ( l m ) 4 ( N 0 3 ) 2 a r e g i v e n ~ n t a b l e 1. S i n g l e s c a t t e r i n g t h e o r y s h o w s t h a t a n a c c e p t a b l e s i m u l a t i o n o f t h e EXAFS o f C u ( l m i d ) 4 ( N 0 3 ) 2 c a n b e o b t a i n e d f o r t h e f i r s t s h e l l n i t r o g e n ( N 1 ) a n d s e c o n d s h e l l c a r b o n ( C 2 ) a t o m s c l o s e t o t h e i r c r y s t a l l o g r a p h i c v a l u e s . H o w e v e r , t h e t h i r d s h e l l c a r b o n ( C 3 ) a n d n i t r o g e n ( N 3 ) a t o m s a r e r e f i n e d some 0 . 3 A s h o r t o f t h e i r k n o w n d i s t a n c e s ( F i g u r e 2 ) . T h i s s h o r t e n i n g o f t h e t h i r d s h e l l d i s t a n c e s h a s f r e q u e n t l y b e e n s e e n i n EXAFS s i m u l a t i o n s o f many s t r u c t u r e s w h e r e h i s t i d i n e l i g a n d a r e p r e s e n t [ 1 , 2 1 . The o r i g i n o f t h i s e f f e c t may b e s e e n b y f ~ l t e r i n g o u t t h e c o n t r i b u t i o n t o t h e EXAFS o f t h e t h ~ r d s h e l l a t o m s i n t h e r a n g e 3 . 5 < k < 4 . 5 A

.

T h i s s p e c t r u m i s s h o w n i n F i g u r e 3 t o g e t h e r w i t h t h e t h e o r e t i c a l EXAFS c a l c u l a t e d f o r t h e c r y s t a l l o g r a p h i c a l l y d e t e r m i n e d t h i r d s h e l l d i s t a n c e s . A l a r g e p h a s e d i f f e r e n c e n e a r l y e q u a l t o n i s a p p a r e n t b e t w e e n t h e t w o w a v e s . I t i s i n o r d e r t o c o m p e n s a t e f o r t h i s p h a s e d i f f e r e n c e t h a t t h e t h i r d s h e l l d i s t a n c e s a r e r e d u c e d b v 0 . 3 A i n t h e L e a s t s q u a r e s r e f i n e m e n t a s i s ' s h o w n i n f i g u r e 3 .

t

-I C I

KIA"

F i g u r e 3 . B a c k t r a n s f o r m e d EXAFS o f F o u r ~ e r f i l t e r e d t h i r d s h e l l s h o w l n g ( a ) t h e p h a s e p r o b l e m f o r s i n g l e s c a t t e r i n g f o r t h e c r y s t a l l o g r . a p h i c a l l y d e t e r m i n e d d i s t a n c e s a n d ( b ) t h e f i t o b t a i n e d t o t h e t h i r d s h e l l c o n t r i b u t i o n when m u l t i p l e s c a t t e r i n g i s i n c l u d e d .

The m u l t i p l e s c a t t e r i n g w a s c a l c u l a t e d i n i t i a l l y u s i n g t h e c r y s t a l s t r u c t u r e p a r a m e t e r s g i v e n i n t a b l e 1. T h e r a d i i o f t h e o u t e r s h e l l a t o m s a n d EO w e r e i t e r a t e d d u r i n g t h e c a l c u l a t i o n a n d t h e s i n g l e s c a t t e r i n g EXAFS w a s a d d e d a s a c o n s t a n t a t e a c h s t e p i n t h e i t e r a t i o n . T h e r e v i s e d p a r a m e t e r s f r o m t h e m u l t i p l e s c a t t e r i n g c a l c u t a t i o n w e r e t h e n u s e d t o r e - c a l c u l a t e t h e s i n g l e s c a t t e r i n g c o n t r i b u t i o n , w h i c h w a s t h e n a d d e d t o t h e m u l t i p l e s c a t t e r i n g EXAFS.

T h i s p r o c e d u r e w a s r e p e a t e d t i l l f u r t h e r r e f i n e m e n t o f t h e p o s i t i o n s o f t h e o u t e r s h e l l a t o m s i n t h e s i n g l e o r m u l t i p l e s c a t t e r i n g t h e o r y

r e s u l t e d i n o n l y m i n o r ( < 0 . 0 2 A ) c h a n g e s i n t h e i r v a l u e s .

T h e f i n a l f i t o b t a i n e d b y t h i s p r o c e d u r e i s s h o w n i n f i g u r e 4 . T h i s s h o w s a c l e a r i m p r o v e m e n t i n t h e f i t c o m p a r e d w i t h t h a t o b t a i n e d u s i n g s i n g l e s c a t t e r i n g t h e o r y o n l y ( f i g . 2 ) , a n d t h e f i t p a r a m e t e r s ( t a b l e 1 ) a r e c l o s e t o t h o s e o f t h e c r y s t a l s t r u c t u r e . T h e o v e r a l l s h a p e o f t h e XANES i s a l s o w e l l r e p r o d u c e d b y t h e m u l t i p l e s c a t t e r i n g s u g g e s t i n g t h a t t h e d o m i n a n t m u l t i p l e s c a t t e r i n g c o n t r i b u t i o n i n t h e XANES r e g i o n i s d u e t o t h e i n t e r n a l a t o m s o f t h e i m i d a z o l e r i n g s .

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C8-596 JOURNAL

DE

PHYSIQUE

RIER TRANSFORM (EXP)

-

RIER TRANSFORM (THE1 ---

I

-LI

K/

-1

F i g u r e 4. E X A F S s i m u l a t i o n o f - C u ( l m l d ) 4 ( N 0 3 ) 2 i n c l u d i n g m u l t i p l e

CRYSTAL STRUCTIJKE EXAFS

PARAMETERS SINGLE MULTIPLE SCATTERING SCATTERING

~ ( 1 ) ~ ( 1 )

CIA')

R(E) ~ 1 8 ' )

T a b l e 1

2.00 2.00 0.005 2.00 0.005 P a r a m e t e r s u s e d in E X A F S s r m u l a t ~ o n s

2.98 2-92 0.010 2.92 0.007

4.18 3.87 0.010 4.22 0.010

C o n c l u s i o n s

T h e w o r k p r e s e n t e d h e r e c l e a r l y d e m o n s t r a t e s the importance of m u t t ~ p l e s c a t t e r i n g ~ n t h e E X A F S of s y s t e m s containing l m l d a z o t e

l ~ g a n d s . S l g n ~ f l c a n t m u l t i p l e s c a t t e r i n g c o n t r ~ b u t l o n s a r e p r e s e n t In the E X A F S u p to a b o u t 2 5 0 e V a b o v e t h e a b s o r b t ~ o n e d g e a n d t h e s e c o n t r l b u t ~ o n s a r e n e c e s s a r y tn o r d e r t o f i x t h e t h i r d s h e l l a t o m s of the ~ m i d a z o l e r ~ n g s at t h e ~ r c o r r e c t p o s ~ t l o n s . B y ~ n c l u d ~ n g m u l t l p l e scattering ~ n the E X A F S ~t i s p o s s l b l e to e x t e n d the l o w e n e r g y r e g l o n o f t h e s p e c t r u m to ~ n c l u d e t h e X A N E S , t h e . g e n e r a l s h a p e of t h l s part b e l n g w e l l r e p r o d u c e d .

R e f e r e n c e s

( 1 ) N . J . B l a c k b u r n , S. S . Hasnatn. G. P . D i a k u n , P . F.

K n o w l e s , N. B t n s t e d and C. D . G a r n e r , Blochem. J . , 1983, 2 1 3 , 7 6 5 .

( 2 ) N. J . B l a c k b u r n , S . S. H a s n a ~ n , N. B l n s t e d , G. P . D ~ a k u n . C. D . G a r n e r and P. F . K n o w l e s , Blochem. J., 1984.

2 1 9 , 9 8 5 .

( 3 ) D . L. M c F a d d e n , A. T. M c P h a t l , C. D . Garner. F . E . M a b b s , J. C h e m . S o c . D a l t o n T r a n s . , 1976, 4 7 .

( 4 ) S . J . G u r m a n , N. Btnsted. I . R o s s , J. P h y s . C. S o l l d S t a t e P h y s . , 1984, 17, 143.

( 5 ) S. J. G u r m a n , N. B t n s t e d , I . R o s s , J. P h y s . C. S o l ~ d S t a t e P h y s . , 1986, 19, 1945.

( 6 ) P . A. L e e and J , 6 . P e n d r y , P h y s i c a l R e v i e w B, 1975,

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