Commit a7a138d7 authored by Anton Akhmerov's avatar Anton Akhmerov
Browse files

more list formatting fixes

parent bfa47c42
......@@ -14,36 +14,36 @@ In this lecture we will:
- **_Lattice_**
- periodic pattern of *lattice points*, which all have an identical view
- lattice points are not necessarily the same as atom positions
- there can be multiple atoms per lattice point
- freedom of translation
- multiple lattices with different point densities possible
+ periodic pattern of *lattice points*, which all have an identical view
+ lattice points are not necessarily the same as atom positions
+ there can be multiple atoms per lattice point
+ freedom of translation
+ multiple lattices with different point densities possible
- **_Lattice vectors_**
- from lattice point to lattice point
- $N$ vectors for $N$ dimensions
- multiple combinations possible
- not all combinations provide full coverage
+ from lattice point to lattice point
+ $N$ vectors for $N$ dimensions
+ multiple combinations possible
+ not all combinations provide full coverage
- **_Unit cell_**
- spanned by lattice vectors
- has 4 corners in 2D, 8 corners in 3D
- check if copying unit cell along lattice vectors gives full lattice
+ spanned by lattice vectors
+ has 4 corners in 2D, 8 corners in 3D
+ check if copying unit cell along lattice vectors gives full lattice
- **_Primitive unit cell_**
- smallest possible $\rightarrow$ no identical points skipped
- not always most practical choice
+ smallest possible $\rightarrow$ no identical points skipped
+ not always most practical choice
- **_Basis_**
- only now we care about the contents (i.e. atoms)
- gives element and position of atoms
- properly count partial atoms $\rightarrow$ choose which belongs to unit cell
- positions in terms of lattice vectors, *not* Cartesian coordinates!
+ only now we care about the contents (i.e. atoms)
+ gives element and position of atoms
+ properly count partial atoms $\rightarrow$ choose which belongs to unit cell
+ positions in terms of lattice vectors, *not* Cartesian coordinates!
### Example: graphite
......
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