Building up a simple cubic lattice

• Consider:

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

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

with $m$ being a positive integer

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

$\left\{{\begin{array}{ll}x=i\times (\delta l)&;i=0,1,\cdots ,m-1\\y=j\times (\delta l)&;j=0,1,\cdots ,m-1\\z=k\times (\delta l)&;k=0,1,\cdots ,m-1\end{array}}\right.$

with: $\left.\delta l=L/m\right.$