Multiplet generalized oscillator strengths and inelastic scattering cross sections calculated including the electron correlation effects: Transitions of neutral atoms: Be, B, C, N, and O

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Abstract
The generalized oscillator strengths as a function of momentum transfer q and the integrated inelastic cross section as a function of incident electron kinetic energy E are calculated with accurate inclusion of all of the nonclosed shell type correlations in both initial and final states using the new atomic structure theory for excited states of Sinanoğlu for BeI 2s2 1S → 2s2p 1P0, BI 2s22p 2P0 → 2s2p2 2D, BI 2s22p 2P0 → 2s2p2 2P, CI 2s22p2 3P → 2s2p3 3D0, CI 2s22p2 3P → 2s2p3 3P0, CI 2s22p2 3P → 2s2p3 3S0, NI 2s22p3 4S0 → 2s2p4 4P, and OI 2s22p4 3P → 2s2p5 3P0. Some difficult variational problems in these neutral atom states, some of which are not the lowest of their symmetry, have to be and are properly dealt with here. The results show large effects of correlation as compared with Hartree–Fock calculations on both the magnitudes and the shapes of the curves. Similar effects will occur in the electron impact spectra of molecules.