# Building up a diamond lattice

- Consider:

- a cubic simulation box whose sides are of length
- a number of lattice positions, given by ,

with being a positive integer

- The positions are those given by:

where the indices of a given valid site are integer numbers that must fulfill the following criteria

- ,
- the sum of can have only the values: 0, 3, 4, 7, 8, 10, ...

i.e, ; OR; , with being any integer number

- the indices must be either all even or all odd.

with

## Atomic position(s) on a cubic cell[edit]

- Number of atoms per cell: 8
- Coordinates:

Atom 1:

Atom 2:

Atom 3:

Atom 4:

Atom 5:

Atom 6:

Atom 7:

Atom 8:

Cell dimensions: