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**: