Line Strengths for Transitions dⁿ→dⁿ⁻¹p and dⁿ→dⁿ⁻¹f, and Probabilities of Photo-Ionization and Recombination dⁿ\ ightleftarrowsdⁿ⁻¹

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General formulas for the line strengths of transition as well as the probabilities of photo-ionization and recombination are obtained. They are expressed in simple forms by Racah’s coefficients of fractional parentages. Auxiliary tables useful for their computation for the case l=2 are given.