Abstract
It is shown that the Fr\ohlich bipolaron is feasible in a two-center molecular-orbital approach. The binding energy comes out stronger than the corresponding Heitler-London approach. The critical value ${\mathrm{\ensuremath{\eta}}}_{\mathit{c}}$ of \ensuremath{\eta}=${\mathrm{\ensuremath{\varepsilon}}}_{\mathrm{\ensuremath{\infty}}}$/\ensuremath{\varepsilon}, below which the bipolaron is realizable, is found to be 0.14, which is the best value, otherwise obtained, in the literature.
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