Building up a body centered cubic lattice

• Consider:

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

$\left.M=2m^{3}\right.$

with $m$ being a positive integer

• The $\left.M\right.$ positions are those given by:

$\left\{{\begin{array}{l}x_{a}=i_{a}\times (\delta l)\\y_{a}=j_{a}\times (\delta l)\\z_{a}=k_{a}\times (\delta l)\end{array}}\right\}$ where the indices of a given valid site $(i_{a},j_{a},k_{a})$ must be all of them either odd or even.

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