@@ -626,10 +626,11 @@ Bragg's law allows us to obtain atomic distances in the crystal $d_{hkl}$ throug
## Exercises
### Warm up exercises
1. Why is the amplitude of a scattered wave zero if $\mathbf{k'}-\mathbf{k} \neq \mathbf{G}$?
2. Calculate the structure factor of the triangular lattice using the reciprocal lattice vectors found in the lecture.
Do any intensity peaks dissapear?
3. Calculate $\mathbf{a}_1 \cdot \mathbf{b}_1$ and $\mathbf{a}_2 \cdot \mathbf{b}_1$ using the definitions of the reciprocal lattice vectors given in the lecture. Is the result what you expected?
1. Calculate $\mathbf{a}_1 \cdot \mathbf{b}_1$ and $\mathbf{a}_2 \cdot \mathbf{b}_1$ using the definitions of the reciprocal lattice vectors given in the lecture. Is the result what you expected?
2. Why is the amplitude of a scattered wave zero if $\mathbf{k'}-\mathbf{k} \neq \mathbf{G}$?
3. Suppose we have a unit cell with a single atom in it.
Can any peak intensity peaks dissapear as a result of the structure factor?
4. Can the structure factor change when we increase the real-space unit cell?
### Exercise 1: Equivalence of direct and reciprocal lattice
