报道了通过建立速率方程描述掺Er3+五磷酸盐的动态布居过程, 计算得到ErP5O14晶体在650 nm激光激发下的所有能级的动力学过程和抽运功率的影响。自发辐射过程、抽运光子的吸收、相应的受激辐射过程、多声子无辐射弛豫过程、所有可能的能量传递过程都包括在速率方程里。研究发现, 在650 nm激光功率达到103～105 W程度时上转换发光就很强且上转换行为很好, 4I15/2的稳态布居几率可以小到0.0617, 4F9/2的稳态布居几率可以快速增加到0.362的高水平然后缓慢地减小到0.0374的稳态值, 它意味着4F9/2的布居已经转换到更高的能级了, 在4S3/2能级可以有高达0.212的布居几率, 它会导致543 nm的强的上转换发光。在4G9/2能级可以有高达0.160的布居几率, 它会导致379 nm的强的上转换发光。

Dynamic population process of ErP5O14 crystal described by rate equations is reported in the present manuscript. All dynamic process and pumping power influence have been calculated out for ErP5O14 crystal when excited by 650nm laser. Established rate equations has included spontaneous emission rates, absorption of pumping photon, relative stimulated emission rates, nonradiative multiphonon relaxation rates, all possible energy transfer rates and back energy transfer rates. It is found that upconversion luminescence intensity is very strong and upconversion luminescence behaviour is very good when 650 nm laser pumping power reaches 103～105 W. The stable population probability of 4I15/2 state can be reduced to 0.0617 small extent. The population probability of 4F9/2 state can be first enhanced to 0.362 fast and then reduced to 0.0374 stable value smoothly. It means that the population of 4F9/2 state has been upconversioned to higher level. The very good results have emerged at that the population probability of 4S3/2 state may be as high as 0.212, which will results in the strong 543 nm upconversion luminescence. It is more significant that the population probability of 4G9/2 state may be as high as 0.160, which will results in the strong 379 nm upconversion luminescence.