Oscilaciones de la red de nitruros cúbicos
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oscilaciones de la red
constantes de fuerza
relaciones de dispersión
cadena lineal lattice oscillations
force constants
dispersion relations
linear chain

How to Cite

Santiago-Pérez, D. G. (2014). Oscilaciones de la red de nitruros cúbicos. Nova Scientia, 1(2), 54–63. https://doi.org/10.21640/ns.v1i2.232


We study the lattice dynamics of the zincblende phase of bulk group-III nitrides using the linear chains models. It is shown that the 3D oscillation problem reduces to uncoupled linear chain equations for high symmetry directions. The relation between the 3D and 1D force constants has been investigated. Our study helps to understand better the richness of the linear chain models. We also show how to fit the 3D bulk force constants (and consequently the whole dynamical matrix) from a few points, either experimental or theoretical. Results for GaN and AlN are reported.
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Bechstedt, F., Grossner, O. and Furthmuller, J. (2000-II). Dynamics and polarization of group-III nitride lattice: A firstprinciples study, Phys. Rev. B 62:8 pp 5028-5035.

Born, M. and Huang, K. (1954). Dynamical theory of crystal lattices. Oxford: ClarendonPress.

Davydov, V.Yu., Kitaev, Yu.E., Goncharuk, I.N., Smirnov, A.N., Graul, J., Sernchinova, O., Uffmann, D., Smirnov, M.B., Mirgorodsky, A.P. and Evarestov, R.A. (1998). Phonon dispersion and Raman scattering in hexagonal GaN and AlN. Phys. Rev. B 58:19 pp 12899-12907.

Fasolino, A., Molinari, E., and Kunc, K. (1990). Planar force-constant method for lattice dynamics of structures. Phys. Rev. B 41:12 pp 8302-8312.

Jusserand, B. and Cardona, M. (1989). Light Scattering in Solids V. Heidelberg: Springer-Verlag.

Karch K. and Behstedt F. (1997-II). Ab initio lattice dynamics of BN and AlN: Covalent versus ionic forces. Phys. Rev. B 56:12, pp 7404-7415.

Karch, K., Wagner, J.M., and Behstedt, F. (1998). Ab initio study of structural, dielectric, and dynamical properties of GaN. Phys. Rev. B 57 pp 7043-7049.

Koster, G. F. (1957). Solid State Physics V. New York: Academic Press.

Nakamura, S. and Fasol, G. (1997). The Blue Laser Diode. Berlin: Springer.

Parlinski, K. and Kawazoe, Y. (1999-I). Ab initio study of phonons in hexagonal GaN”, Phys. Rev. B 60:23 pp 15511-15514.

Santiago-Pérez, D.G., de León-Pérez, F., and Pérez-Álvarez, R. (2006). Force constants and dispersion relations for the zincblende and diamond structures revisited. Rev. Mex. Fis. 52:2 pp 163-171.

T t nc , H.M. and Srivastava, G. B. (2000). Phonons in zinc-blende and wurtzite phases of GaN, AlN, and BN with the adiabatic bond-charge model. Phys. Rev. B 62:8 pp 5028-5035.

Xi, J., Wan, X., Wei, G., Zhan, K., and Xie, X. (1996). Lattice dynamics of zinc-blende GaN and AlN: I. Bulk phonons. J.Phys.: Condens Matter 8:35 pp 6323-6328.

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