Building up a square lattice

• Consider:

1. a square simulation box whose sides are of length Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \left.L\right.}
2. a number of lattice positions, Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \left.M\right.} given by Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \left.M=m^{2}\right.}  ; with $m$ being a positive integer

• The Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \left.M\right.} positions are those given by:

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left. \delta l = L/m \right. }

Atomic position(s) on a square cell

• Number of atoms per cell: 1
• Coordinates:

Atom 1: Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left( x_1, y_1\right) = \left( 0, 0 \right) }