The magnetic hyperfine and $g_F$ constants were calculated for the $c{}_{}{}^3{}_{}{}^{}\Pi _u^{}{}_{}{}^{}(1s, 2p)$ metastable state of ${\mathrm{H}}_2$ using wave functions determined from the optimal-double-configuration model. The hyperfine constants differ by as much as 24% from previous values obtained using a single-configuration electronic wave function. The hyperfine constants are $a=21.98\mathrm{}$ MHz, $b=471.14\mathrm{}$ MHz, $c=59.37\mathrm{}$ MHz, $d=-12.87\mathrm{}$ MHz, where $a$ and $b$ are the orbital interaction of the electron with the nucleus and the Fermi contact interaction, respectively, and $c$ and $d$ arise from the dipolar interaction of electron and nucleus. With these values for the hyperfine constants, along with the experimental fine-structure splittings and a matrix-diagonalization procedure, the $g_F$ values were calculated and found to be in better agreement with experiment than the earlier theoretical values.

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