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PHY.K02UF Molecular and Solid State Physics | ||||
$\vec{k}=u\vec{b}_1+v\vec{b}_2+w\vec{b}_3$ : $(u,v,w)$
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The real space and reciprocal space primitive translation vectors are:
\begin{equation} \large \vec{a}_1=a\hat{x},\quad \vec{a}_2=a\hat{y},\quad\vec{a}_3=a\hat{z},\\ \large \vec{b}_1=\frac{2\pi}{a}\hat{k}_x,\quad \vec{b}_2=\frac{2\pi}{a}\hat{k}_y,\quad\vec{b}_3=\frac{2\pi}{a}\hat{k}_z. \end{equation}Cut-out pattern to make a paper model of the simple cubic Brillouin zone.