513.001 Molecular and Solid State Physics

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Physical
Constants

Periodic System
of Elements

      

Density of states

The energy-wavevector dispersion relation for free electrons is,

\[ \begin{equation} \large E=\frac{\hbar^2k^2}{2m}. \end{equation} \]

From this calculate the energy density of states $D(E)$ for 1-, 2-, and 3-dimensions.