Temperature dependence of transverse and longitudinal optic modes in the α and β phases of quartz

F. Gervais and B. Piriou
Phys. Rev. B 11, 3944 – Published 15 May 1975
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Abstract

The temperature dependence of the infrared reflectivity spectra (A2 and E-type vibrational modes) of quartz is reported in the α and β phases with emphasis on the vicinity of the αβ phase transition. Spectra have been fitted with a four-parameter dispersion model based on the factorized form of the dielectric function that allows the temperature dependence of the TO and LO frequencies and damping to be determined. Two A2 and three E modes (among the six E modes studied here) are forbidden in the β phase, and they critically lose their polar character at the approach of the phase transition. The frequencies of a number of modes critically soften or harden in the α phase, in the vicinity of Tc=846 K. A comparison with thermal lattice expansion indicates that this critical behavior might be understood in term of pure volume effect. In the α phase, mode dampings diverge in the vicinity of the transition whereas in the range 300-700 K and in the β phase, phonon lifetimes appear limited by anharmonic three-phonon coupling.

  • Received 7 December 1974

DOI:https://doi.org/10.1103/PhysRevB.11.3944

©1975 American Physical Society

Authors & Affiliations

F. Gervais and B. Piriou

  • Centre de Recherches sur la Physique des Hautes Températures, Centre National de la Recherche Scientifique, 45045 Orléans Cedex, France

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Issue

Vol. 11, Iss. 10 — 15 May 1975

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