Dispersion of Gyromagnetic Ratios in Complex Spectra

It is pointed out that the random-matrix hypothesis, which was previously used to explain the "repulsion" of energy levels in complex atomic and nuclear spectra, leads to a dispersion in the values of the gyromagnetic ratios which depends on the relative strengths of central and spin-dependent interactions and the number of states which interact with one another in the $\mathrm{LS}$ coupling scheme. The dispersion based on experimentally known atomic $g$ factors is computed in three regions of the periodic table, and the empirical trends are found to be in qualitative agreement with the theoretical analysis.