Building up a square lattice: Difference between revisions
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m (New page: * Consider: # 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 = m...) |
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* Consider: | * Consider: | ||
# a | # a square 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 = m^{ | # a number of lattice positions, <math> \left. M \right. </math> given by <math> \left. M = m^{2} \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: | ||
| Line 8: | Line 8: | ||
x = i \times (\delta l) &; i=0,1,\cdots, m-1 \\ | x = i \times (\delta l) &; i=0,1,\cdots, m-1 \\ | ||
y = j \times (\delta l) &; j=0,1,\cdots, m-1 \\ | y = j \times (\delta l) &; j=0,1,\cdots, m-1 \\ | ||
\end{array} | \end{array} | ||
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</math> | </math> | ||
== Atomic position(s) on a | == Atomic position(s) on a square cell == | ||
* Number of atoms per cell: 1 | * Number of atoms per cell: 1 | ||
* Coordinates: | * Coordinates: | ||
Atom 1: <math> \left( x_1, y_1 | Atom 1: <math> \left( x_1, y_1\right) = \left( 0, 0 \right) </math> | ||
Revision as of 14:16, 20 March 2007
- Consider:
- a square simulation box whose sides are of length
- a number of lattice positions, given by ; with being a positive integer
- The positions are those given by:
where
Atomic position(s) on a square cell
- Number of atoms per cell: 1
- Coordinates:
Atom 1:
