Abstract
In the multi-electron atom, as shown previously by Mande and Damle (1966), the interelectronic interaction can be accounted for in the orbital energies by introducing a single screening parameter. It has been shown in this paper that, using the effective Z values for the energies, the effective Z values for wave functions of hydrogen-like orbitals can be determined. The hydrogen-like wave functions thus obtained are found to be close to the wave functions given by Jerman and Skillman (1963), specially for the 1s, 2s and 2p orbitals. The present wave functions can be employed to calculate the shake-off probability in the K shell following the beta decay process. The calculated value of the shake-off probability for yttrium is found to agree fairly well with the experimental and theoretical results obtained earlier by other workers.
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