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:
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?
Transcribed Image Text:Let nf denote the topmost filled energy level, where we start filling the
1) and continue filling higher levels with elec-
trons until all N electrons are accommodated. It is convenient to suppose
the value of for
levels from the bottom (n
that
N is an even number. The condition 2n p
N determines nF,
the uppermost filled level.
The Fermi energy er 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
dimension:
h2 (NT
2m \ 2L
Ef
(4)
2m
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