Building up a simple cubic lattice: Difference between revisions

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(Added a Jmol fo rthe lattice + category.)
 
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{{Jmol_general|Simple_cubic_lattice.xyz|A simple cubic lattice}}
* 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 = m^3    \right. </math> with <math> m </math> being a positive integer
# a number of lattice positions, <math> \left. M \right. </math> given by <math> \left. M = 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:  
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*<math> \alpha = \beta = \gamma = 90^0 </math>
*<math> \alpha = \beta = \gamma = 90^0 </math>
[[category: computer simulation techniques]]
[[category: Contains Jmol]]

Latest revision as of 13:01, 22 July 2009


<jmol>

 <jmolApplet>
 <script>set spin X 10; spin on</script>
 <size>200</size>
 <color>lightgrey</color>
   <wikiPageContents>Simple_cubic_lattice.xyz</wikiPageContents>
</jmolApplet>
</jmol>
A simple cubic lattice
  • 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

Atomic position(s) on a cubic cell[edit]

  • Number of atoms per cell: 1
  • Coordinates:

Atom 1:


Cell dimensions: