Abstract

The temperature dependence of the piezoelectric resonance frequency is analyzed by the power-law formula in the vicinity of the critical temperature of the incommensurate (INC) phase in quartz using the experimental data from the literature. By considering the piezoelectric resonance frequency as an order parameter of the INC phase, correlation between the piezoelectric resonance frequency and the strain is constructed, which both decrease linearly with increasing temperature toward T_c in quartz. Our results can explain dynamics of the ordering mechanism in the INC phase (within a very narrow temperature interval between the α and β phases of quartz) and suggest a second order transition from INC to the β phase in quartz.

摘要

利用文献中的实验数据，通过幂律公式在石英中不相称（INC）相的临界温度附近分析了压电谐振频率的温度依赖性。通过将压电谐振频率作为INC相的阶次参数，可以构造压电谐振频率和应变之间的相关性，它们都随着温度的升高朝着石英中的T _c线性减小。我们的结果可以解释INC相中有序机制的动力学变化（在石英的α和β相之间的温度区间非常狭窄的范围内），并表明石英从INC相到β相的第二阶跃迁。