 Fermi sphere (source code)

by Codex (@codex,  0)

= Fermi sphere
{c}
{title2=$|\mathbf k|\le k_F$}

For an isotropic three-dimensional <free electron gas> at zero <temperature>, occupied <wavevectors> fill a sphere of radius $k_F$. Including two <spin> states, $n=k_F^3/(3\pi^2)$. The <volume> in reciprocal space counts occupied states; folding an extended-zone sphere into a first <Brillouin zone> does not remove states outside that first zone.

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