Building up a face centered cubic lattice

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A face centered cubic lattice
  • Consider:
  1. a cubic simulation box whose sides are of length
  2. 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 must be, for instance, an even number.

with

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

  • Number of atoms per cell: 4
  • Coordinates:

Atom 1:

Atom 2:

Atom 3:

Atom 4:

Cell dimensions: