Building up a face centered cubic lattice: Difference between revisions

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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 < m </math>
* <math> 0 \le i_a < 2m </math>
* <math> 0 \le j_a < m </math>  
* <math> 0 \le j_a < 2m </math>  
* <math> 0 \le k_a < m </math>,
* <math> 0 \le k_a < 2m </math>,
* the sum of <math> \left. i_a + j_a + k_a \right. </math> must be, for instance, an even number.  
* the sum of <math> \left. i_a + j_a + k_a \right. </math> must be, for instance, an even number.  


Revision as of 11:45, 20 March 2007

  • Consider:
  1. a cubic simulation box whose sides are of length
  2. a number of lattice positions, given by ,

with being a positive integer

  • The positions are those given by:

where the indices of a given valid site are integer numbers that must fulfill the following criteria

  • ,
  • the sum of must be, for instance, an even number.

with

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