Let nf denote the topmost filled energy level, where we start filling the levels from the bottom (n = 1) and continue filling higher levels with elec- trons until all N electrons are accommodated. It is convenient to suppose that N is an even number. The condition 2nr the uppermost filled level. The Fermi energy ep is defined as the energy of the topmost filled level in the ground state of the N electron system. By (3) with n = nf We have in one N determines nF, the value of n for dimension:
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Why are we choosing N as an even number?
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