The Evaluation of Two And Three Center Intergrals Arising in Calculations On Mol
The Evaluation of Two And Three Center Intergrals Arising in Calculations On Mol
C Donald Labudde
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kl M X T^ (cos e^)P/ ( X^A2 ^ ^ V^'^'"a2'^C^V^'°'V%^^°^V 2 15 X if(co8 e^)p (cos e^)p^"5 (^^3 e^)p "6 ^^^^ ^^j 15 o X p^(co8 e^)pJ^(co8 e^)8in G^sm e^ de^ de^ ^ai"^a2- As before, M = 0, 1, or 2 only. Then J « 0, 1, 2, 5, or k only. Similarly, we expand P'J (cos a) = 8in~''a( sin*' a P^ (cos a)) as a linear comibination ig ^2 of Legendre polynomials vith the G's as coefficients (see Appendix (3)) By the expansions in the same appendix, P£ (cos 0^) T£ -^ (cos e^)ly(cos 0^) may be written as a lin...ear combination of Legendre polyncmilals with the G's as coefficients.
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