YAG：N<sub>d</sub><sup>3＋</sup>单晶的二阶和三阶弹性常数

YAG：N_d^3＋单晶的二阶和三阶弹性常数

摘要: 我们采用超声“脉冲回波重合法”技术[1],测定了立方晶体钇铝柘榴石(YAG:)的二阶弹性常数,以及它们在静水压和单轴应力条件下,随压力变化,获得了三阶弹性常数.它们分别是:C₁₁=334.78GPa,C₁₂=109.95GPa,C₄₄=115.25GPa,和C₁₁₁=-3377.66GPa,C₁₁₂=-841.16Gpa,C₁₂₃=-32.86Gpa,C₁₄₄=-37.66Gpa,C₁₆₆=-579.38Gpa,C₄₅₆=-114.60Gpa.根据这些数据,我们还计算了YAG:Nd³⁺晶体的德拜温度以及Gruneisen参数,以及YAG:Nd³⁺的状态方程.

Abstract: Under normal condition,and hydrostatic pressure and uniaxial stress conditions,the different modes of longitudinal and shear wave velocities of YAG:single crystal hadbeen measured by ultrasonic pulse echo overlape technique. Based on those data,the secondorder and third-order elastic constants were derived,which are:C₁₁=-334. 78 GPa,C₁₂=109. 95 GPa,C₄₄=115. 25 GPa and C₁₁₁=-3377. 66 GPa,C₁₁₂=-841. 16 GPa, C₁₂₃=-32. 86 GPa, C₁₄₄=-37. 66 GPa, C₁₆₆=-579. 38 GPa, C₄₅₄₆=-114. 60 GPa.From those SOEC and TOEC, the Debye temperature,Grruneisen constant γ,and equation of state of YAG:YAG:N_d^3＋ are obtained