Editing Building up a diamond lattice
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Latest revision | Your text | ||
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[EN CONSTRUCCION] | |||
* Consider: | * Consider: | ||
# a cubic simulation box whose sides are of length <math>\left. L \right. </math> | # 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 <math> \left. M = | # a number of lattice positions, <math> \left. M \right. </math> given by <math> \left. M = 4 m^3 \right. </math>, | ||
with <math> m </math> being a positive integer | with <math> m </math> being a positive integer | ||
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where the indices of a given valid site are integer numbers that must fulfill the following criteria | where the indices of a given valid site are integer numbers that must fulfill the following criteria | ||
* <math> 0 \le i_a < | * <math> 0 \le i_a < 2m </math> | ||
* <math> 0 \le j_a < | * <math> 0 \le j_a < 2m </math> | ||
* <math> 0 \le k_a < | * <math> 0 \le k_a < 2m </math>, | ||
* the sum of <math> \left. i_a + j_a + k_a \right. </math> | * the sum of <math> \left. i_a + j_a + k_a \right. </math> must be, for instance, an even number. | ||
with | with | ||
<math> | <math> | ||
\left. | \left. | ||
\delta l = L/( | \delta l = L/(2m) | ||
\right. | \right. | ||
</math> | </math> | ||