Building up a simple cubic lattice: Difference between revisions

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* Consider:
* Consider:
# a Cubic Simulation box of length <math>\left. L  \right. </math>
# a cubic simulation box whose sides are of length <math>\left. L  \right. </math>
# a numer of lattice positions, <math> \left. M \right. </math> given by:
# a number of lattice positions, <math> \left. M \right. </math> given by <math> \left. M = m^3    \right. </math> with <math> m </math> being a positive integer


: <math> \left. M = m^3    \right. </math>
* The <math> \left. M \right. </math> positions are those given by:  
 
:<math>
: with <math> m </math> being a positive integer
 
* The <math> \left. M \right. </math> positions are those given by:
 
<math>
\left\{ \begin{array}{ll}
\left\{ \begin{array}{ll}
x = i \times (\delta l) &; i=0,1,\cdots, m-1 \\
x = i \times (\delta l) &; i=0,1,\cdots, m-1 \\
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</math>
</math>


with:
where
<math>
<math>
\left.
\left.

Revision as of 19:32, 19 March 2007

  • Consider:
  1. a cubic simulation box whose sides are of length
  2. a number of lattice positions, given by Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \left.M=m^{3}\right.} with being a positive integer
  • The 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\\z=k\times (\delta l)&;k=0,1,\cdots ,m-1\end{array}}\right.}

where

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