Magnetic Properties of the Hydrogen Molecules

The diamagnetic susceptibility $\chi$, the rotational magnetic moment ${\mu }_r$, the magnetic shielding constant $\sigma$, and the spin-rotational magnetic interaction constant $H_r$ of the hydrogen molecule are calculated theoretically. The energy of the rotating molecule, under an external magnetic field, is calculated by means of the variational method using 7+2 term wave function. By expanding the energy in powers of the appropriate parameters, $\chi$, ${\mu }_r$, $\sigma$, and $H_r$ are determined and the relations between these quantities are obtained. Comparison with Ramsey's experiments is also made.