晶体中离子质量差异与激活离子光谱线热加宽和热位移

证明了基质晶体离子的质量差异对其中的激活离子光谱线的热加宽和热位移有贡献，对于单声子吸收或发射机制产生的热加宽和热位移而言，其贡献可以用一个乘积因子D^2表示，对于喇曼散射机制引起的热加宽，其贡献可以用乘积因子D^4表示，文中分别给出两种离子组成的晶体和三种离子组成的晶体的D的表示式。

Effect of Mass Difference between Host Ions on the Thermal Shift and Broadening of the Spectral Lines of the Active Ions in Crystals

It is shown in this paper that the mass difiference between ions of the host crystal has an effect on the thermal broadening and shift of spectral lines of active ions in the crystals. The effect is expressed as a multiplied factor D2 for the thermal broadening and shift caused by one-phonon absorption and emission mechanism, and a multiplied factor D4 for the thermal broadening caused by Raman scattering process. The expressions of D-factor are given for crystals constituted of two and three kinds of ions, respectively. Obviously, the factor of D equals to 1 when all of the ions in a crystal have the same mass, and it increases with the mass difference between different kinds of ions in the crystal. Therefore, when the other conditions are invariable, the thermal broadening and shift of the lines increase with the mass difference between ions. The values of D are given for two examples.