${\mathrm{O}}^{=}$ ions exist in solids but not in a free state. Analytic Hartree-Fock solutions have been obtained for the ${}_{}{}^1{}_{}{}^{}S$ state of ${\mathrm{O}}^{=}$ which can be applied to work in solids. The solutions utilize stabilizing potential wells of positive charge and the results are compared with other published work.

• Received 25 April 1958

DOI:https://doi.org/10.1103/PhysRev.111.1108