Effect of a superposition of configurations on the generalized oscillator strengths and elastic and inelastic total cross sections for the3pto4s,4p, andnd(n≤7) transitions in aluminum

Generalized oscillator strengths $f(K)$ and total cross sections $\ensuremath{\sigma}$ are calculated within the first Born approximation for elastic scattering and for spin-allowed electronic transitions from the $3{s}^{2}3p$ ground state to the $3{s}^{2}\mathrm{nd}$ ($n=3, \dots{}, 7$), $3{s}^{2}4s$, and $3{s}^{2}4p$ Rydberg states. Exchange effects are included in the cross sections via the Bonham-Ochkur-Rudge approximations. Hartree-Fock and superposition-of-configurations (SOC) wave functions are utilized to examine their effect on $f(K)$ and $\ensuremath{\sigma}$. $f(K)'s$ obtained from SOC wave functions to varying accuracy are plotted and compared, and $\ensuremath{\sigma}'\mathrm{s}$ calculated with HF and SOC wave functions are presented. Results calculated with a one-electron model using scaled hydrogenic orbitals to generate the $f(K)$ are compared with those obtained with Hartree-Fock and SOC wave functions.