On the Shift and Intensity of the Mössbauer Line in Metals

Abstract

o f t h e Mdtjssbauer e f f e c t a r e known t o depend on the impurity nucleus (1, 2). The i n t e n s i t y and t h e r e l a t i v e s h i f t of t h e Mtlssbauer l i n e i s defined by t h e phonon s t a t e of t h e c r y s t a l ( 3 , 4). The presence of conduction e l e c t r o n s i n metals and t h e i r i n t e r a c t i o n w i t h t h e l a t t i c e v i b r a t i o n s influence t h e phonon s t a t e of t h e c r y s t a l . I n t h e present note t h e i n t e n s i t y and t h e r e l a t i v e s h i f t of t h e Mtissbauer spectrum i n metals i s c a l c u l a t e d t a k i n g i n t o account electron-phonon i n t e r a c t i o n . It is found that t h e electron-phonon i n t e r a c t i o n can lead t o a measurable influence on t h e r e l a t i v e s h i f t . i n metals we used Frtihlich's Hamiltonian I n t h e c a l c u l a t i o n of t h e i n t e n s i t y and t h e r e l a t i v e s h i f t and confined t o t h e case of a non-degenerate v i b r a t i o n spectrum. Then i n accordance with ( 4 ) t h e following expressions were obt ained : f = exp(-2~) ,where and

The Oscillations of the Mössbauer Line Shift

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In the present note the oscillations of the shift of the Mossbauer line in metals connected with the electron-phonon interaction are calculated.The relative shift of the Mossbauer line in a metal considering the interaction * + of conduction electrons with the lattice vibrations is proportional to g ( 6 , k , k )/ /(w (k j) -Q ( 6 , "p -5 ) ) (1). If the renormalized energy of the phonon hG(kj) comes near to the energy change of the electron hQ(G, $ -z), a fast increase of the shift of the Wossbauer line arises.

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“…Let us consider high temperatures when 6 < T. Then in equation(1) coth can 2 be expanded and cos(6 L) substitutes f o r <cos(c )> = 7c /16 in the isotropic model.…”