## Download Coherent inelastic neutron scaterring in lattice dynamics by Dr. Bruno Dorner (auth.) PDF

By Dr. Bruno Dorner (auth.)

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Therefore only t r a n s i t i o n s between d i a m e t r i c a l l y opposite electron states were considered. The positions of the observed anomalies and the absence of some anomalies, expected f o r a spherical Fermi surface, confirm the deviations from s p h e r i c i t y (Fig. 26) as al~eady proposed by VISSCHER and FALICOV (1972), STARK and FALICOV (1967), GAIDUKOV (1970), and references cited by these authors. The l a t t i c e potential strongl y d i s t o r t s the Fermi surface from s p h e r i c i t y by producing an energy gap in the electron states at the parts of the boundary of the second B r i l l o u i n zone which is dashed in Fig.

All unshaded areas in Fig. 25a correspond to f i l l e d electron states below an energy gap along the boundary of the second B r i l l o u i n zone. As Cd has two conduction (perhaps better, valence) electrons per atom and two atoms per u n i t c e l l , there are 4 electrons per u n i t cell in real space. The volume of t h e i r states in reciprocal space is equal to the volume of two B r i l l o u i n zones, because two electrons (one spin up, one spin down) per u n i t cell could j u s t f i l l the f i r s t B r i l l o u i n zone.

996 PREVOT et a l . 062 O. 0740 O. 40 O. 737 - 1. 50 11. 675 I0. 21 24. 205 A~2 B~2 B~2 A~2 B~2 FUJII et al. 52 O. 09 O. 6 31 Comparing the models we conclude that the 9 (or 11) parameter model proposed by FISCHER et a l . (1972), who introduced two quadrupolar terms to account f o r the covalent part of the 4d electron configuration on the Ag ion, is physically more meaningful than the pure shell model with 15 parameters. The Fischer et a l . model gives more microscopic insight into the interactions between the ions in AgBr, but nevertheless derived quantities such as density of states, specific heat, e t c .