Born Cross Sections for Inelastic Scattering of Electrons by Hydrogen Atoms. III. $5s$, $5p$, $5d$, $5f$, $5g$ States

Born total cross sections are computed for the strong optically allowed transitions from $n=5\mathrm{}$ to $n^{\prime }=6\mathrm{}$, at incident energies between 0.2 ev and 1361 ev. Thirty energy values are considered for the $5s$ to $6p$ and $5g$ to $6h$ cases, and nine for the other transitions. The cross sections obtained are larger than those of comparable transitions for lower $n$. The Bethe (dipole) approximation is also used, and is found to give good agreement with the Born results down to relatively low energies (≈3 ev).