Summary
An energy wave-number characteristic (e.w.n.c.) is obtained from the experimental phonon frequencies in lead. An inversion procedure, coupled with a smoothness condition which preserves the stable crystal structure of the solid, is used.
Riassunto
Partendo dalle frequenze fononiche sperimentali del piombo si è ottenuta una « energy wave-number characteristic » (e.w.n.c.). I risultati ottenuti mostrano che per il Pb uno schema perturbativo al secondo ordine è fenomenologicamente valido per il calcolo delle proprietà energetiche che dipendono dalla struttura cristallina.
Реэюме
Определяется характеристика знергетических волновых чисел иэ зкспериментальных фононных частот в свинце. Испольэуется процедура инверсии вместе с условней плавности, которое сохраняет устойчивую кристаллическую структуру твердого тела.
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References
J. R. Anderson andA. V. Gold:Phys. Rev.,139, A 1459 (1965).
M. L. Cohen andT. K. Bergstresser:Phys. Rev.,141, 789 (1966).
M. G. Priestley, L. R. Windmiller, J. B. Ketterson andY. Eckstein:Phys. Rev.,154, 671 (1967);P. J. Lin andL. M. Falicov:Phys. Rev.,142, 441 (1966);L. M. Falicov andP. J. Lin:Phys. Rev.,141, 562 (1966).
C. Herring:Phys. Rev.,57, 1169 (1940).
J. C. Phylips andL. Kleinman:Phys. Rev.,116, 287 (1959).
F. Bassani andV. Celli:Journ. Phys. Chem. Solids,20, 64 (1961).
B. J. Austin, V. Heine andL. J. Sham:Phys. Rev.,127, 276 (1962).
V. Heine andI. Abarenkov:Phil. Mag.,9, 451 (1964).
W. A. Harrison:Pseudopotential in the Theory of Metals (New York, 1966).
V. Bortolani: unpublished calculations.
C. H. Hodges:Phil. Mag.,15, 371 (1967).
W. Cochran:Proc. Roy. Soc., A276, 308 (1963).
L. Sham:Proc. Roy. Soc., A283, 33 (1965).
S. H. Vosko, R. Roger andG. H. Keech:Can. Journ. Phys.,43, 1187 (1965).
J. Lindhard:Kgl. Danske Videnskab Selskab., Mat. Fys. Medd.,28, 8 (1954).
E. W. Kellerman:Phil. Trans., A238, 513 (1940).
B. N. Brockhouse, T. Arase, G. Caglioti, K. R. Rao andA. O. B. Woods:Phys. Rev.,128, 1099 (1962).
M. Born andK. Huang:Dynamical Theory of Crystal Lattices (London, 1954).
R. Stedman, L. Almquist, G. Nilson andG. Raunio:Phys. Rev.,163, 567 (1967).
A. O. E. Animalu:Proc. Roy. Soc., A294, 376 (1966).
F. Bonsignori, V. Bortolani andG. Velo:Nuovo Cimento,57 B, 194 (1968).
J. Hubbard:Proc. Roy. Soc., A243, 336 (1959).
A. O. E. Animalu:Phil. Mag.,13, 53 (1966).
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Bortolani, V., Ottaviani, P. Determination of the energy wave-number characteristic of Pb from experimental phonon frequencies. Nuovo Cimento B (1965-1970) 62, 379–389 (1969). https://doi.org/10.1007/BF02710146
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DOI: https://doi.org/10.1007/BF02710146