${\mathrm{H}}_2^{+}$ in a weak magnetic field

Abstract

The electronic energy of ${\mathrm{H}}_2^{+}$ in magnetic fields of up to $B=0.2B_0$ (or 4.7 $\times 10^4$ Tesla) is investigated. Numerical values of the magnetic susceptibility for both the diamagnetic and paramagnetic contributions are reported for arbitrary orientations of the molecule in the magnetic field. It is shown that both diamagnetic and paramagnetic susceptibilities grow with inclination, while paramagnetic susceptibility is systematically much smaller than the diamagnetic one. Accurate two-dimensional Born-Oppenheimer surfaces are obtained with special trial functions. Using these surfaces, vibrational and rotational states are computed and analysed for the isotopologues ${\mathrm{H}}_2^{+}$ and ${\mathrm{D}}_2^{+}$.

21 pages, 9 figures

References in corpus (4)

• $H_2^{+}$ molecular ion in a strong magnetic field: ground state
• The H${}_2^{+}$ ion in a strong magnetic field. Lowest excited states
• Charged Hydrogenic, Helium and Helium-Hydrogenic Molecular Chains in a Strong Magnetic Field
• The $H_3^{+}$ molecular ion in a magnetic field in linear parallel configuration