A program to compute exact hydrogenic radial integrals, oscillator strengths, and Einstein coefficients, for principal quantum numbers up to n ≈ 1000

Abstract An exact expression for the dipole radial integral of hydrogen has been given by Gordon [Ann. Phys. 2 (1929) 1031]. It contains two hypergeometric functions F ( a , b ; c ; x ) , which are difficult to calculate directly, when the (negative) integers a, b are large, as in the case of high Rydberg states of hydrogenic ions. We have derived a simple method [D. Hoang-Binh, Astron. Astrophys. 238 (1990) 449], using a recurrence relation to calculate exactly F, starting from two initial values, wh... Title of program: ba5 Catalogue Id: ADUU_v1_0 Nature of problem Exact calculation of atomic data. Versions of this program held in the CPC repository in Mendeley Data ADUU_v1_0; ba5; 10.1016/j.cpc.2004.11.005 ADUU_v2_0; ba5.2; 10.1016/j.cpc.2009.06.003 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)摘要 戈登（Gordon）于《Ann. Phys.》2卷（1929年）第1031页的研究中，给出了氢原子偶极径向积分的精确表达式。该表达式包含两个超几何函数F(a,b;c;x)，当其中的负整数参数a、b取值较大时（如类氢离子高里德伯态场景），该类函数难以直接进行计算。我们曾提出一种简便方法[D. Hoang-Binh，《Astron. Astrophys.》238卷（1990年）第449页]，通过递推关系从两个初始值出发，即可精确计算该F函数，相关内容详见…… 程序名称：ba5 目录编号：ADUU_v1_0 问题本质：原子数据的精确计算。 该程序在Mendeley数据的CPC库中的版本如下： ADUU_v1_0; ba5; 10.1016/j.cpc.2004.11.005 ADUU_v2_0; ba5.2; 10.1016/j.cpc.2009.06.003 本程序源自贝尔法斯特女王大学维护的CPC程序库（1969-2018年）