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<wikiPageContents>Body_centered_cubic_lattice.xyz</wikiPageContents>
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A body centered cubic lattice
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- a cubic simulation box whose sides are of length
![{\displaystyle \left.L\right.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/42b28a0767ae24baa77b93edbbbadd848967baf7)
- a number of lattice positions,
given by
, with
being a positive integer
- The
positions are those given by:
![{\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\}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/db729ab99aa81ef5ffe255aa6e8f82f61f0d90b1)
where the indices of a given valid site
must fulfill:
must be either all odd or all even.
![{\displaystyle 0\leq i_{a}\leq 2m}](https://wikimedia.org/api/rest_v1/media/math/render/svg/79b20331800a0b8bda466641565222e0e25bde74)
![{\displaystyle 0\leq j_{a}\leq 2m}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0c346d484ae0e7c569c347767f502a45bd0cdfe1)
![{\displaystyle 0\leq k_{a}\leq 2m}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3150c820d1dda4b4a611483cd2e2f293801dc554)
and
Atomic position(s) on a cubic cell[edit]
- Number of atoms per cell: 2
- Coordinates:
Atom 1:
Atom 2:
Cell dimensions:
![{\displaystyle a=b=c=l}](https://wikimedia.org/api/rest_v1/media/math/render/svg/58fdda452bcb38fd967c88beab1a0105ed617e28)
![{\displaystyle \alpha =\beta =\gamma =90^{0}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/fadff4daaa4b05f77fc76d0aad2365f8ad638595)