Calculation of the Resonant Frequencies in the Vicinity of the Transition in Quartz


Lider M. C. , YURTSEVEN H. H.

INTERNATIONAL JOURNAL OF THERMOPHYSICS, vol.36, no.7, pp.1585-1597, 2015 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 7
  • Publication Date: 2015
  • Doi Number: 10.1007/s10765-015-1884-5
  • Title of Journal : INTERNATIONAL JOURNAL OF THERMOPHYSICS
  • Page Numbers: pp.1585-1597
  • Keywords: alpha - beta Transition, Lattice parameter, Quartz, Resonant frequency, ALPHA-BETA-TRANSITION, STRUCTURAL PHASE-TRANSITION, NEUTRON-SCATTERING, MOLECULAR-DYNAMICS, INCOMMENSURATE PHASE, ELASTIC PROPERTIES, HEAT-CAPACITY, SPECTROSCOPY, INSTABILITY, CHARACTER

Abstract

The transition (847 K) in quartz is investigated using the temperature dependence of the resonant frequency and of the lattice constant which are correlated by means of the mode Gruneisen parameter. By determining the mode Gruneisen parameter, the resonant frequencies are predicted in the vicinity of the transition in quartz. This calculation is extended to low temperatures (down to about , and the resonant frequencies are predicted at low temperatures using the lattice parameter data for quartz. Predictions indicate that the method of calculating the resonant frequencies using the lattice parameter data is satisfactory, and it can be applied to some other crystalline systems.