Building up a simple cubic lattice

• Consider:

1. a cubic simulation box whose sides are of length $L$
2. a number of lattice positions, $M$ given by $M=m^3$ with $m$ being a positive integer

• The $M$ positions are those given by:

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

where $\delta l=L/m$