O. Bouty et al., EXCHANGE INTERACTION ENERGY BETWEEN 2 ONE-ACTIVE ELECTRON ATOMS AT LARGE DISTANCES, Journal of molecular structure. Theochem, 330, 1995, pp. 97-106
Developed formulas for the exchange interaction energy between two neu
tral one-active electron atoms interacting at large distances R are pr
esented in terms of known basic integrals obtained from an asymptotic
method for the alkali dimers M(2) dissociating to M(ns) + M(ns), M(ns)
+ M(n'l), l = 0,...,3 and M(np) + M(np). Detailed illustrative numeri
cal results are displayed for the molecular states of Na-2 dissociatin
g to the limit Na(3s) + Na(3p). Comparisons with very accurate ab init
io results as well as with some available experimental data show that
accurate potential energy curves for these excited states may be obtai
ned in a very large range of internuclear distances by connecting ab i
nitio curves for small and intermediate values of R with long-range cu
rves obtained as the sum of usual multipolar Coulombic energy and asym
ptotic exchange energy.