Crystal structure

Lattice and basis

Screenshot 2024-09-23 113448.png

📖 Definitions:

🗒️ Note: the main focus will be on $\rm 3D$ lattices

image.png

📖 Definitions:

🗒️ Note: there are many different primitive vectors for one lattice (they all have the same area or volume)

💃 Example: we can re-write the lattice vector as

$$ \vec R=n_1(\vec a_1+ \vec a_2)+ (n_2-n_1) \vec a_2+n_3 \vec a_3 $$

which is a new set of primitive lattice vectors with $\vec a_1 + \vec a_2 ,\vec a_2,\vec a_3$

Bragg Scattering

X-ray scattering from parallel planes

X-ray scattering from parallel planes

Properties:

Unit cells