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Illustration Graph: Density of states of a free 1d electron gas

<span>Graph: Density of states of a free 1d electron gas</span>
Graph: Density of states of a free 1d electron gas
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The density of states \(D(W)\) (states per energy \(W\)) of a free one-dimensional electron gas (or other 1d Fermi gas). For a one-dimensional electron gas, there are more states at lower energies \(W\), with the density of states decreasing with the reciprocal square root of the energy.