Discussion
The term representing electron-nucleus interaction in Hamiltonian operator for many electron atom is proportional to :
Answer: B
The electron-nucleus term is \(-\sum_{i} Ze^{2}/r_{i}\).
Each electron i is attracted by the nucleus of charge +Ze at distance ri. The potential energy of that attraction is -Ze2/ri (times 1/4πε0 in SI units), and the Hamiltonian sums it over all electrons. The minus sign shows attraction.
Terms in e2/rij are the electron-electron repulsions, summed over pairs, and are positive. Ze/ri lacks one factor of the charge and has the wrong sign, so it is not an energy of interaction.
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