Building up a body centered cubic lattice

• Consider:

1. a Cubic Simulation box of length $L$
2. a number of lattice positions, $M$ given by:

$M=2m^3$

with $m$ being a positive integer

• The $M$ positions are those given by:

$\{\begin{array}{c}{x}_a=i_a\times (\delta l)\\ y_a=j_a\times (\delta l)\\ z_a=k_a\times (\delta l)\end{array}\}$ where the indices of a given valid site $(i_a,j_a,k_a)$ must be all of them either odd or even.

with $\delta l=L/(2m)$