Addendum: Systematics of moments of dipole oscillator-strength distributions for atoms in the first and second row

The values of $S\left(1\right)\mathrm{}$ and $L\left(1\right)\mathrm{}$, i.e., quantities related to straggling of particles given by Dehmer, Inokuti, and Saxon [Phys. Rev. A 12, 102 (1975)], are inaccurate within the Hartree-Slater model used in that work. Those values are too large by as much as several percent because of an overestimation of contributions from high excitation energies. Revised values of $S\left(1\right)\mathrm{}$ and $L\left(1\right)\mathrm{}$, accurate to about 1%, are presented and discussed in greater detail. They are now in closer agreement with other values of N, O, Ne, and Ar found in the literature. All the other $S\left(\mu \right)$ and $L\left(\mu \right)$ values given by Dehmer, Inokuti, and Saxon remain unchanged.