Building up a simple cubic lattice: Difference between revisions

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m (New page: * Using a Cubic Simulation box of length <math>\left. L \right. </math> [EN CONSTRUCCION])
 
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* Using a Cubic Simulation box of length <math>\left. L  \right. </math>
* Consider:
[EN CONSTRUCCION]
# a Cubic Simulation box of length <math>\left. L  \right. </math>
# a numer 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
 
* The <math> \left. M \right. </math> positions are those given by:
 
<math>
\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.
</math>
 
with:
<math>
\left.
\delta l = L/m
\right.
</math>

Revision as of 17:48, 19 March 2007

  • Consider:
  1. a Cubic Simulation box of length 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. L \right. }
  2. a numer of lattice positions, 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. M \right. } given by:
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. M = m^3 \right. }
with being a positive integer
  • The 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. M \right. } positions are those given by:

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\{ \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. }

with: 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. }

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