Abstract
The theory of hyperfine interactions in a homonuclear diatomic molecule is re-examined for Hund's coupling case (b). Diagonal and off-diagonal matrix elements among $J$, the fine-structure levels, are explicitly given for an arbitrary electronic state and spin. Expressions for the Zeeman interactions at small magnetic fields are derived, when $J$ is no longer a good quantum number. This theory is applied to the $c^{3}\ensuremath{\Pi}_{u}(1s2p)$ state of ${\mathrm{H}}_{2}$, and the previous discrepancy between theoretical and experimental ${g}_{F}$ values is resolved.
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