f^n组态在jj偶合下亲态比系数的计算

含f 轨道元素的原子或离子的电子结构和光谱性质,在考虑强的旋—轨偶合—jj偶合时,各组态的亲态比系数对于简化各类对称算符矩阵元的计算有着十分重要作用。本文中利用置换群外积偶合系数以及外积等标量因子(ISF),结合纯组态的亲态比系数和9 j符号(或 Racah系数)来计算混合组态的亲态比系数,计算了f~n 组态(n=3,4)的混合组态亲态比系数,并给出双电子混合态的jj偶合与LS 偶合的变换系数。

Calculation of the Coefficients of Fractional Parentage for f~n Configurations in the jj-coupling

Thee eictronic structure and spectric properties of atoms or ions with the f-orbitals, based upon the conskler of strong spinorbit coupling -jj coupling. The coefficients of fractional parentage of various configurations proved to play quite important role for simplifies the calculation of symmetric operators matrix elements. This paper applying Outer-product coupling coefficients of permutation group and its Outer-product Isocalar factor (ISF) ,to combine the coefficients of fractional parentage for pure configuration and the 9 j-symbols or Racah coefficients, to calculate the coefficients of fractional parentage of maxid configuration. We have been calculated the coefficients of fractional parentage for maxid configuration of f# configuration (n= 3 and 4)by listed in Appendix tables,and given the jj-Ls transformation coefficients of two-electron maxid configuration.