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Commit c6945c82 authored by Kostas Vilkelis's avatar Kostas Vilkelis :flamingo:
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fix typo in Bragg's law

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......@@ -441,7 +441,7 @@ $$
\left|\mathbf{k'}-\mathbf{k} \right|^2=\left|\mathbf{G_{hkl}}\right|^2 \\
2k^2-2\mathbf{k'} \cdot \mathbf{k} = G_{hkl}^2 \\
2k^2-2 \left(\mathbf{k}+\mathbf{G_{hkl}}\right) \cdot \mathbf{k} = G_{hkl}^2 \\
2 k \cos(\phi) = G_{hkl}^2
2 k \cos(\phi) = G_{hkl}
$$
Where we use $|\mathbf{k'}| = |\mathbf{k}|$ in the second line and insert the Laue condition in the third line. In the exercises this week, you will see that Miller planes $(hkl)$ are normal to $G_{hkl}$ vectors and that the distance between planes is given by $d_{hkl} = \frac{2 \pi}{G_{hkl}}$. With this, one can finally derive **Bragg's Law**:
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