The damping coefficients and a non-expanded multipole analysis of the exact second-order induction energy in H2+

An exact analytical formula for the coefficients damping each individual multipole in the second-order induction for H2+ is presented and the first three damping coefficients explicitly evaluated in closed form. Numerical calculation shows that the damped Rsup(-n) series expansion of the induction energy always converges, the first four terms in the expansion accounting for no less than 97 per cent of the exact value over the whole range of internuclear separations. (author)