Building up a body centered cubic lattice: Difference between revisions
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m (New page: * Consider: # a Cubic Simulation box of length <math>\left. L \right. </math> # a number of lattice positions, <math> \left. M \right. </math> given by: : <math> \left. M = 2 m^3 \ri...) |
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| Line 1: | Line 1: | ||
* Consider: | * Consider: | ||
# a | # a cubic simulation box whose sides are of length <math>\left. L \right. </math> | ||
# a number 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 = 2 m^3 \right. </math>, with <math> m </math> being a positive integer | ||
* The <math> \left. M \right. </math> positions are those given by: | * The <math> \left. M \right. </math> positions are those given by: | ||
:<math> | |||
<math> | |||
\left\{ \begin{array}{l} | \left\{ \begin{array}{l} | ||
x_a = i_a \times (\delta l) \\ | x_a = i_a \times (\delta l) \\ | ||
| Line 17: | Line 12: | ||
\right\} | \right\} | ||
</math> | </math> | ||
where the indices of a given valid site <math>(i_a,j_a,k_a)</math> must be all | where the indices of a given valid site <math>(i_a,j_a,k_a)</math> must be either all odd or all even. | ||
<math> | <math> | ||
\left. | \left. | ||
Revision as of 18:36, 19 March 2007
- Consider:
- a cubic simulation box whose sides are 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. }
- a number 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 = 2 m^3 \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 m } 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}{l} x_a = i_a \times (\delta l) \\ y_a = j_a \times (\delta l) \\ z_a = k_a \times (\delta l) \end{array} \right\} }
where the indices of a given valid site 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 (i_a,j_a,k_a)} must be either all odd or all even. 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/(2m) \right. }