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Commit 9e3ca644 authored by T. van der Sar's avatar T. van der Sar
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Update 4_sommerfeld_model.md - fix cont'd

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......@@ -220,7 +220,7 @@ ax.set_xlabel(r"$\varepsilon$")
draw_classic_axes(ax, xlabeloffset=.2)
```
Electrons in the top triangle are being excited to the bottom triangle due to temperature increase. Number of excited electrons $\approx\frac{1}{4}g(\varepsilon_{\rm F})k_{\rm B}T=n_{\rm exc}$. Total extra energy $E(T)-E(0)=n_{\rm exc}k_{\rm B}T=\frac{1}{2}g(\varepsilon_{\rm F})k_{\rm B}^2T^2$.
Electrons in the top triangle are being excited to the bottom triangle due to temperature increase. Number of excited electrons $\approx\frac{1}{4}g(\varepsilon_{\rm F})k_{\rm B}T=n_{\rm exc}$. Total extra energy $E(T)-E(0)=n_{\rm exc}k_{\rm B}T=\frac{1}{4}g(\varepsilon_{\rm F})k_{\rm B}^2T^2$.
$$
C_{V,e}=\frac{ {\rm d}E}{ {\rm d}T}=\frac{1}{2}g(\varepsilon_{\rm F})k_{\rm B}^2T=\ ...\ =\frac{3}{4}Nk_{\rm B}\frac{T}{T_{\rm F}}\propto T
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