Building up a simple cubic lattice

• Consider:

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

$M=m^3$

with $m$ being a positive integer

• The $M$ positions are those given by:

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

with: $\delta l=L/m$