Geodesic
Calculation of heat capacity and mean-square deviations on phonon spectra for crystals with BCC and FCC lattices
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 2 (2010), pp. 102-110 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The paper considers the dynamics of monatomic cubic crystal lattices under the influence of the interatomic forces of Van der Waals nature. Using the adiabatic approximation, the authors received and solved a system of equations describing vibrations of monatomic BCC and FCC lattices, realized the longwave principle, which allowed to express the force constants of the dynamical model in terms of elastic constants of a given substance and to calculate phonon spectra and temperature dependences of heat capacity and mean-square deviations for some crystals with BCC and FCC lattices.
Keywords: dynamic model, crystal lattice, elastic constants, phonon spectrum, heat capacity, mean-square deviation.
Mots-clés : dipole 
@article{VYURM_2010_2_a16,
     author = {V. E. Kholodovsky and I. O. Machikhina and E. A. Kulchenkov},
     title = {Calculation of heat capacity and mean-square deviations on phonon spectra for crystals with {BCC} and {FCC} lattices},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {102--110},
     year = {2010},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2010_2_a16/}
}
TY  - JOUR
AU  - V. E. Kholodovsky
AU  - I. O. Machikhina
AU  - E. A. Kulchenkov
TI  - Calculation of heat capacity and mean-square deviations on phonon spectra for crystals with BCC and FCC lattices
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika
PY  - 2010
SP  - 102
EP  - 110
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VYURM_2010_2_a16/
LA  - ru
ID  - VYURM_2010_2_a16
ER  - 
%0 Journal Article
%A V. E. Kholodovsky
%A I. O. Machikhina
%A E. A. Kulchenkov
%T Calculation of heat capacity and mean-square deviations on phonon spectra for crystals with BCC and FCC lattices
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika
%D 2010
%P 102-110
%N 2
%U http://geodesic.mathdoc.fr/item/VYURM_2010_2_a16/
%G ru
%F VYURM_2010_2_a16
V. E. Kholodovsky; I. O. Machikhina; E. A. Kulchenkov. Calculation of heat capacity and mean-square deviations on phonon spectra for crystals with BCC and FCC lattices. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 2 (2010), pp. 102-110. http://geodesic.mathdoc.fr/item/VYURM_2010_2_a16/

[1] V. E. Kholodovskii, I. O. Machikhina, E. A. Kulchenkov, “Dispersionnye sootnosheniya dlya kubicheskikh kristallicheskikh reshetok v modeli dipol-dipolnykh vzaimodeistvii”, Vestnik YuUrGU. Seriya «Matematika, fizika, khimiya», 10(143):12 (2009), 92–99

[2] V. E. Kholodovskii, I. O. Machikhina, “Printsip dlinnykh voln i fononnye spektry kubicheskikh kristallicheskikh reshetok”, Vestnik YuUrGU. Seriya «Matematika. Mekhanika. Fizika», 22(155):1 (2009), 109–116 | MR | Zbl

[3] V. E. Kholodovskii, I. O. Sergeeva, “Potok energii i sila reaktsii na izluchenie podvizhnogo dipolya”, Vestnik BGU. Seriya «Estestvennye i tochnye nauki», 4(273):12 (2005), 266–268

[4] M. Born, K. Khuan, Dinamicheskaya teoriya kristallicheskikh reshetok, IL, M., 1958, 488 pp.

[5] Ch. Kittel, Vvedenie v fiziku tverdogo tela, Nauka, M., 1978, 792 pp.

[6] R. Hultgren, P. Desai, Selected values of the thermodynamic prorerties of the elements, American society for metals, Metals Park, Ohio 44073

[7] G. V. Samsonov (red.), Svoistva elementov, v. 1, Fizicheskie svoistva, Metallurgiya, M., 1976, 600 pp.