Influence of Temperature and Pressure on the Lattice Constant of SrTiO3 Perovskite by the Statistical Moment Method with Improved Interatomic Potential

Cao Huy Phuong, V. Hùng
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Abstract

Temperature and pressure dependence of lattice constants of a cubic Strontium Titanate (SrTiO3) has been investigated using the statistical moment method. The lattice constants at various temperatures is derived in closed analytic form by including the anharmonic effects of the lattice vibrations explicitly. The potential with the partial charge model and Morse function is used. The numerical lattice constants at high temperatures by the statistical moment method are in good and reasonable agreement with the other theories and the experimental data. Variations of the lattice parameter of SrTiO3 with the temperature are obtained at 1 atm, 8.2 GPa, and 15.2 GPa.  Increasing of the lattice constants with increasing temperature is due to enhancing atomic anharmonic fluctuations in SrTiO3 lattice crystal at higher temperature. A decrease of the lattice constants with increasing pressure can be demonstrated by the reduction of atomic vibrations in SrTiO3 crystal lattice at higher pressures.  
用改进原子间势的统计矩法研究温度和压力对SrTiO3钙钛矿晶格常数的影响
用统计矩法研究了立方钛酸锶(SrTiO3)晶格常数与温度和压力的关系。通过显式地考虑晶格振动的非调和效应,导出了不同温度下晶格常数的封闭解析形式。采用部分电荷模型和莫尔斯函数的电势。用统计矩法计算的高温点阵常数与其他理论和实验数据吻合较好。得到了SrTiO3在1atm、8.2 GPa和15.2 GPa下晶格参数随温度的变化规律。晶格常数随温度升高而增加是由于SrTiO3晶格晶体在较高温度下原子非调和涨落增强所致。在较高的压力下,SrTiO3晶格中的原子振动减少,可以证明晶格常数随压力的增加而降低。
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