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HAL Id: jpa-00220366

https://hal.archives-ouvertes.fr/jpa-00220366

Submitted on 1 Jan 1980

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TESTS OF CRITERIA FOR THE EXISTENCE OF

COLLECTIVE EXCITATIONS IN LIQUID METALS

O. Söderström, J. Copley, J.-B. Suck, B. Dorner

To cite this version:

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JOURNAL DE PHYSIQUE Colloque C8, suppZdment au n o 8 , Tone 41, aoiit 1980, page

Cg-230

TESTS OF C R I T E R I A FOR THE EXISTENCE OF COLLECTIVE EXCITATIONS I N L I Q U I D METALS

Y X Y X Y

0 . SBderstrSm. J.R.D. Copley

.

J . - 6 . S u c k and 8. Dorner

Department of Reactor Physics, The Royal I n s t i t u t e of Technology, Fack, 5-10044 S t o c k h o b , Sweden

x Department o f Physics, McMaster U n i v e r s i t y , Hamilton, OntcuYio L8S 4M1, Canada

x x I n s t i t u t Laue-Langevin, 156 X Centre de R.i, 38042 Crenoble Cedes, France

A b s t r a c t . - C o l l e c t i v e d e n s i t y f l u c t u a t i o n s have been observed i n l i q u i d lead by thermal neutron s c a t t e r i n g experiments. Comparisons a r e made w i t h observations i n o t h e r l i q u i d s and some c r i t e r i a a r e t e s t e d . The i n f l u e n c e of t h e e f f e c t i v e p a i r p o t e n t i a l i s a l s o discussed. 1 . I n t r o d u c t i o n E x p e r i m e n t a l e v i d e n c e c u r r e n t l y a v a i l a b l e s u g g e s t s t h a t , f o r l i q u i d a l k a l i m e t a l s , r a t h e r l o n g - l i v e d c o l l e c t i v e e x c i t a t i o n s e x i s t w i t h w a v e l e n g t h s o f t h e same o r d e r o f m a g n i t u d e 2s t h e d i s t a n c e b e t w e e n t h e a t o m s . S u c h e x c i t a t i o n s a r e o b s e r v e d i n c o n d e n s e d r a r e g a s e s o n l y f o r much l o n g e r w a v e l e n g t h s . The e v i d e n c e d e r i v e s f r o m n e u t r o n i n e l a s t i c s c a t t e r i n g ( N I S I m e a s u r e m e n t s on f l u i d neon ( 1 1 a n d l i q u i d r u b i d i u m ( 2 ) a s w e l l a s mo- l e c u l a r d y n a m i c s ( M D ) s t u d i e s o f a L e n n a r d - J c n o s (L.2) s y s t c ~ n ( 3 1 a n d a s y s t z n i r . p r e - s e n t i n g l i q u i d r u b i d i ~ m ( 4 ) . A p o s s i b l e e x p l a n a t i o n i s t h a t t h e e f f e c t i v e p a i r p o - t e n t i a l b e t w e e n a t o m s ( t o g e t h e r w i t h t h e p o s i t i o n o f t h e s y s t e m i n i t s own p h a s e d i a g r a m ] i s r e s p o n s i b l e f o r t h i s d i f f e r e n - c e , b u t t h e r e l a t i v e i m p o r t a n c e o f d i f f e - r e n t f e a t u r e s o f t h e p o t e n t i a l i s n o t com- p l e t e l y c l e a r . Though t h e h a r d n e s s o f t h e r e p u l s i v e c o m p o n e n t i s a m a j o r f a c t o r , t h e i n f l u e n c e o f t h e s h a p e o f t h e p o t e n t i a l m i - nimum i s much h a r d e r t o a s s e s s . I n o r d e r t o g a i n f u r t h e r i n s i g h t i n t o t h i s p r o b l e m

i t

i s n e c e s s a r y t o s t u d y s e v e r a l l i q u i d m e t a l s w i t h d i f f e r e n t p h y s i c a l p r o - p e r t i e s a n d p a i r p o t e n t i a l s . A s u b s t a n t i a l h e l p i n c l a r i f y i n g t h e r o l e o f t h e i n t e r - a t o m i c p o t e n t i a l f o r t h e p e r s i s t e n c e o f c o l l e c t i v e e x c i t a t i o n s i s . g i v e n by MD calcu- lations [4,5), H o w e v e r , t h e i r r e s u l t s d e p e n d s t r o n g l y on t h e p a i r i n t e r a c t i o n c h o s e n , w h i c h c a n b e d o n e r e l i a b l y f o r s i m p l e me- t a l s o n l y . L e a d i s n o t a s i m p l e m e t a l i n t h i s s e n s e , b u t i t i s q u i t e d i f f e r e n t f r o m r u b i d i u m a n d

i t

i s c o n v g p i e n t f o r N I S e x - p e r i m e n t s . We h a v e t h e r = ' f o r e c h o s e n l e a d f o r t h i s e x o e r i m e n t . I n t h i s p a p e r we b r i e f l y d e s c r i b e o u r NIS r e s u l t s f o r l i q u i d l e a d a t s m a l l

Q

v a l u e s (momentum t r a n s f e r s ) a n d c o m p a r e t h e m w i t h t h e e a r l i e r NIS r e s u l t s f o r r u b i d i u m . We a l s o e x a m i n e t h e p r e s e n t e x p e r i m e n t a l s i - t u a t i o n i n t h e l i g h t o f c r i t e r i a f o r t h e e x i s t e n c e of p r o p a g a t i n g c o l l e c t i v e e x c i t a - t i o n s i n l i q u i d s . 2 . E x p e r i m e n t s a n d r e s u l t s T h e d y n a m i c s c a t t e r i n g f u n c t i o n o f l i q u i d - 1 l e a d w a s m e a s u r e d f o r 0 . 4 6 4 6 1 . 6 , u s i n g t h e t l ~ r e e a x i s s p e c t r o n l e t e r IN8 a t i n s t i t u t ~aue-Langevin ( 6 ) . A s p e c i a l d e s i g n o f s a m p l e c o n t a i n e r w a s a d o p t e d , i n o r d e r t o r e d u c e t h e m u l t i p l e s c a t t e r i n g t o a n a c c e p t a b l e l e v e l a n d a t t h e s a m e t i m e m a i n t a i n a r e a - s o n a b l e c o u n t - r a t e o f s i n g l y s c a t t e r e d n e u t r o n s . F u r t h e r d e t a i l s o f t h e e x p e r i m e n t a n d d a t a r e d u c t i o n a r e d e s c r i b e d i n o u r e a r - l i e r p u b l i c a t i o n ( 6 ) . O u r r e s u l t s f o r l e a d , t o g e t h e r w i t h t h o s e o f C o p l e y a n d Rowe f o r r u b i d i u m ( 2 1 , a r e shown i n f i g u r e 1 . R e s u l t s f r o m a n i n d e p e n - d e n t t i m e - o f - f l i g h t m e a s u r e m e n t o n l e a d ( 7 1 a r e a l s o shown i n t h e f i g u r e , b u t t h e e r r o r b a r s a r e c o n s i d e r a b l e d u e t o a low c o u n - t i n g r a t e a n d a h i g h m u l t i p l e s c a t t e r i n g c o r r e c t i o n i n t h i s r e g i o n . The p o s i t i o n s o f t h e i n e l a s t i c p e a k s i n t h e s c a t t e r i n g f u n c t i o n a r e p l o t t e d a g a i n s t

Q/QO

i n r e - d u c e d u n i t s , s u c h t h a t t h e s o u n d v e l o c i t y ( c ) ( o b t a i n e d f r o m u l t r a s o n i c m e a s u r e m e n t s ] h a s a s l o p e o f u n i t y . Though t h e s e t s of d a t a f o r l e a d a n d r u b i d i u m a r e i n many w a y s s i m i l a r t h e r e i s a s y s t e m a t i c d i f f e - r e n c e b e t w e e n t h e two c u r v e s .

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