稀土离子Pr^(3+)和Tm^(3+)多重态间电偶极跃迁约化矩阵元的计算

Calculation of the Squared Reduced Matrix Elements Between J-Multiplets of Pr^(3+) and Tm^(3+)

利用M.F.Reid的f壳层经验程序和P.A.Tanner发表的氯冰晶石Cs2NaLnCl6体系中Pr3+和Tm3+离子的能级参数计算出它们的基组态的中间态波函数|4fNαSLJ>(共13个),然后将其代入单位张量算符U(λ)(λ=2,4,6)的约化矩阵元公式中,分别计算出Pr3+和Tm3+离子的各个多重态之间电偶极跃迁的约化矩阵元的值。对该约化矩阵元在分析激发态吸收几率或能量传递几率的应用做了讨论。

The energies and complete 13 SLJ wavefunctions for 4f2(Pr3+) and 4f12(Tm3+) configurations in intermediate coupling were reproduced using the f-shell empirical programs developed by M.F.Reid and the fitted parameters reported by P.A.Tanner.And then the squared reduced matrix elements of the unit tensor operator for all ground state absorption(GSA),excited state absorption(ESA) and spontaneous emission transitions between 13 SLJ multiplets of Pr3+ and Tm3+.Using the calculated values mentioned above,the ESA ...