Adiabatic potential-energy surfaces for higher excited states of the ${\mathrm{H}}_2^{+}$ ion in a strong magnetic field

We investigate the topology of the adiabatic potential-energy surfaces of the $4_{\mathit{g}\mathrm{}\left(\mathit{u}\right)}$,$5_{\mathit{g}\mathrm{}\left(\mathit{u}\right)}$,$6_{\mathit{g}\mathrm{}\left(\mathit{u}\right)}$ electronic states of the hydrogen molecular ion in a strong magnetic field. The increasing complexity of the surfaces with increasing degree of electronic excitation is demonstrated. Stable local as well as global molecular equilibrium configurations are found for the parallel, perpendicular, as well as intermediate configurations. © 1996 The American Physical Society.