Building up a square lattice

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  • Consider:
  1. a square simulation box whose sides are of length \left. L \right.
  2. a number of lattice positions, \left. M \right. given by \left. M = m^{2} \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 \\ \end{array} \right.

where \left. \delta l = L/m \right.

[edit] Atomic position(s) on a square cell

  • Number of atoms per cell: 1
  • Coordinates:

Atom 1: \left( x_1, y_1\right) = \left( 0, 0 \right)

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