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

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