TEMPERATURE-DEPENDENCE OF TRANSVERSE AND LONGITUDINAL OPTIC MODES IN ALPHA-PHASES AND BETA-PHASES OF QUARTZ
TEMPERATURE-DEPENDENCE OF TRANSVERSE AND LONGITUDINAL OPTIC MODES IN ALPHA-PHASES AND BETA-PHASES OF QUARTZ
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DOI:
10.1103/physrevb.11.3944
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发表时间:
1975-01-01
影响因子:
3.7
通讯作者:
PIRIOU, B
中科院分区:
文献类型:
--
作者:
GERVAIS, F;PIRIOU, B
The temperature dependence of the infrared reflectivity spectra (A 2− and E-type vibrational modes) of quartz is reported in the α and β phases with emphasis on the vicinity of the α→ β 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 A 2 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 T c= 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.