By ALISTAIR K. MACPHERSON (Eds.)

ISBN-10: 0444883746

ISBN-13: 9780444883742

This quantity brings jointly a few of the shortly on hand theoretical recommendations as a way to be necessary within the layout of solid-state fabrics. at the present, it truly is most unlikely to specify the atomic composition of a fabric and its macroscopic actual homes. besides the fact that, the long run percentages for this sort of technology are being laid at the present time. this can be coming approximately because of the improvement of speedy, affordable desktops so as to have the ability to adopt the calculations that are helpful. when you consider that this box of technological know-how in all fairness new, it isn't but fairly transparent which path of research will finally end up to be the main profitable. during this admire the writer has incorporated the main suitable promising topic parts, in keeping with seven years of study event within the box. an intensive literature already exists for many of the components coated the following, hence while extra distinct research are available in different places, the assumptions made are mentioned, and in basic terms an summary of the tactic concerned is gifted. accomplished indexes are supplied to help the reader in additional reviews

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T h e Lattice Specific Heat Sect. 4] 27 n e x t level of m o d e l l i n g is t h e D e b y e t h e o r y . T h i s c o n s i s t s of t r e a t i n g t h e solid a s b e i n g c o m p o s e d of c o u p l e d h a r m o n i c o s c i l l a t o r s w i t h different f r e q u e n c i e s . H o w e v e r , a s d e s c r i b e d b e l o w , it is n e c e s s a r y t o c o n s i d e r o n l y a l i m i t e d set of f r e q u e n c i e s in o r d e r t o m a k e t h e c a l c u l a t i o n t r a c t a b l e .

Schroder, Calculations of dispersion curves and specific heat for LiF and NaCl using the breathing shell model, Phys. Status Solidi 21 (1967), 309-314. , Principles of the Theory of Solids (Cambridge Univ. Press, Cambridge, 1964). , Contributions to the theory of the specific heat of crystals I - lattice theory and continuum theory, Proc. R. Soc. London A 148 (1935), 365-383. , Contributions to the theory of the specific heat of crystals II - on the existence of p s e u d o - T regions in the specific heat curve of a crystal, Proc.

Maradudin, (North Holland, Amsterdam, 1974). 1 Introduction T h e successful a p p l i c a t i o n of t h e v a r i o u s t e c h n i q u e s d e s c r i b e d in t h e p r e s e n t v o l u m e d e p e n d s u p o n t h e d e r i v a t i o n of a n a p p r o p r i a t e i n t e r a t o m i c p o t e n t i a l t o d e s c r i b e t h e i n t e r a t o m i c forces. I n its m o s t e l e m e n t a r y f o r m , o n l y t h e C o u l o m b i c force l a w is r e q u i r e d . 4. H o w e v e r , t h e n u m b e r of m a c r o s c o p i c p r o p e r t i e s w h i c h c a n b e o b t a i n e d f r o m s u c h a first p r i n c i p l e ' s level is s m a l l .

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