Resonant frequency shifts related to the elastic constants near the alpha-beta transition in quartz

Abstract

The resonant frequency shifts of vibrational modes are related to the elastic constants at various temperatures for the alpha-beta transition in quartz (T-c = 573.0 degrees C for alpha-quartz and 574.3 degrees C for beta-quartz). This correlation is constructed on the basis of the spectroscopic modifications of the Pippard relations near the alpha-beta transition in quartz by using the observed data from the literature.

Our results indicate that the elastic properties can be described from the spectroscopic parameters (frequency shifts) as we have studied here for the alpha-beta transition in quartz. Using those relations, elastic constants can also be obtained from the frequency shifts near the phase transitions of various crystalline systems. (C) 2018 Elsevier B.V. All rights reserved.