For three identical spherical atoms in their ground electronic states, it i
s shown that a knowledge of the partial wave components of the additive non
-expanded second-order induction energy allows the non-additive non-expande
d second-order Coulomb energy to be calculated for certain interatomic geom
etries. The results of new partial wave calculations of the nonexpanded sec
ond-order Coulomb energy are presented for H-2 and H-3, and are used to dis
cuss the rate of convergence of the appropriate partial wave series. Compar
ison is made with relevant literature results.