Abstract The regression analysis of the temperature dependences of the components of the elastic compliance tensor in the tetragonal phase and the inverse permittivity coefficients in the cubic and tetragonal phases is performed in single crystal BaTiO3. Two modified logarithmic functions having a critical temperature are proposed that approximate well the experimental results of in two phases and in a tetragonal phase. It is found that the dielectric constant has a maximum in the region of Tc, and the maximum of is shifted to the region of higher temperatures. There is a large correlation (0.99) between the changes the elastic compliance coefficient and the dielectric constant It is concluded that the anomalies in the elastic and dielectric properties are due to softening of the lattice when approaching a first-order phase transition.

中文翻译：

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BaTiO3单晶弹性柔量和介电常数张量分量的温度依赖性比较分析

摘要 在BaTiO3单晶中进行了四方相中弹性柔量张量分量和立方相和四方相中介电常数反比系数的回归分析。提出了两个具有临界温度的修正对数函数，它们很好地近似了两相和四方相的实验结果。发现介电常数在 Tc 区域具有最大值，并且最大值向较高温度区域移动。弹性柔量系数和介电常数的变化之间存在很大的相关性 (0.99) 得出的结论是，弹性和介电特性的异常是由于接近一阶相变时晶格的软化造成的。