Editing Building up a body centered cubic lattice
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Latest revision | Your text | ||
Line 1: | Line 1: | ||
* Consider: | * Consider: | ||
# a | # 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 \right. </math> | # 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> | |||
\left\{ \begin{array}{l} | \left\{ \begin{array}{l} | ||
x_a = i_a \times (\delta l) \\ | x_a = i_a \times (\delta l) \\ | ||
Line 13: | Line 17: | ||
\right\} | \right\} | ||
</math> | </math> | ||
where the indices of a given valid site <math>(i_a,j_a,k_a) | where the indices of a given valid site <math>(i_a,j_a,k_a)</math> must be all of them either odd or even. | ||
with | |||
<math> | <math> | ||
\left.\delta l = L/(2m) | \left. | ||
\delta l = L/(2m) | |||
\right. | \right. | ||
</math> | </math> | ||