Free electron model: Difference between revisions

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Undid revision 1258386440 by SqrtNegativOne (talk) g is choosen here because it is the density per unit volume, compare with Fermi gas
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=== Density of states ===
The 3D [[density of states]] (number of energy states, per energy per volume) of a non-interacting electron gas is given by:<ref group="Ashcroft & Mermin">{{CnHarvnb|dateAshcroft|Mermin|1976|pp=April 2024|p=44}}</ref>
:<math>g(E) = \frac{m_e}{\pi^2\hbar^3}\sqrt{2m_eE} = \frac{3}{2}\frac{n}{E_{\rm F}}\sqrt{\frac{E}{E_{\rm F}}},</math>