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Estimation of the Debye temperature forcrystals with polyatomic unit cell

Published online by Cambridge University Press:  24 July 2002

I. D. Feranchuk ,
A. A. Minkevich  and
A. P. Ulyanenkov
I. D. Feranchuk
Affiliation:
Byelorussian State University, F. Skariny Av. 4, 220050 Minsk, Republic of Belarus
A. A. Minkevich
Affiliation:
Byelorussian State University, F. Skariny Av. 4, 220050 Minsk, Republic of Belarus
A. P. Ulyanenkov*
Affiliation:
Bruker AXS, Östl. Rheinbrückenstr. 50, 76187 Karlsruhe, Germany
*
Alex.ulyanenkov@bruker-axs.de
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Abstract

Simple formula for microscopical estimation of the Debye temperature for polyatomic crystals is reported.It is based on the calculation of the force constants for arbitrary pair of interacting atoms by means of the phenomenological spectroscopy data for oscillation frequencies of homonuclear molecules.For that purporse a special combinative rule is suggested.The table of necessary parameters for calculation of Debye temperatures ofarbitrary crystals and solid solutions is included.

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Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 19 , Issue 2 , August 2002 , pp. 95 - 101
Copyright
© EDP Sciences, 2002

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References

Debye, P., Ann. Phys. 30, 789 (1912) CrossRef
International Tables for Crystallography, edited by Th. Hahn (Kluwer Academic Publishers, 1987), Vol. A
A. Authier, X-ray and Neutron Diffraction (NATO ASI Series, 1996)
Lugovskaya, O.M., Stepanov, S.A., Kristallografiya (USSR) 36, 856 (1991), in Russian; translated in: Sov. Phys. Crystallogr. (USA) 36, 478 (1991)
D. Brüesch, Phonons: Theory and Experiments (Berlin: Springer-Verlag, 1987), Vol. 2
Gao, H.X., Peng, L.-M., Acta Cryst. A55, 926 (1999) CrossRef
N.W. Ashcroft, N.D. Mermin, Solid State Physics (Holt, Rinehart and Winston, NY, 1976), Vol. 2
Vegard, L., Z. Phys. 5, 17 (1921) CrossRef
K.P. Huber, G. Gerzberg, Molecular Spectra and Molecular Structure. IV. Constants of Diatomic Molecules (Van Nostrand Reinhold Company, NY, 1979)
L.A. Gribov, S.P. Mushtakova, Quantum Chemistry (Moscow, Gardariki, 1999)
R. Balescu, Equilibrium and Nonequilibrium Statistical Mechanics (John Wiley and Sons, New York-London-Sydney-Toronto, 1975), Vol. 2
L.D. Landau, E.M. Lifshitz Quantum Mechanics: Non-Relativistic Theory, 3rd edn. (Pergamon, 1997), Vol. 3
Biersack, J.P., Ziegler, J.F., Nucl. Instrum. Methods 194, 93 (1982) CrossRef
G.B. Bokii, Crystallochemistry (Moscow, Nauka, 1971)