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courses:lecture:pplec:pplecperiodicdim 2011/07/29 14:07 courses:lecture:pplec:pplecperiodicdim 2011/08/26 10:17 current
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=====Periodic Systems in Different Dimensions (5 minutes)===== =====Periodic Systems in Different Dimensions (5 minutes)=====
  * Periodic systems can take form in all three spatial dimensions:   * Periodic systems can take form in all three spatial dimensions:
-    * //3-D periodic system example:// Unit cells of NaCl+ 
-   * //2-D periodic system example:// Hexagonal units in graphene+    * // 3-D periodic system example: // The naturally occuring photonic crystal Opal
-    * //1-D periodic system example:// String of beads connected by springs.+ 
 +{{courses:lecture:pplec:pplecperiodicdimfig1.jpg|}} 
 + 
 +Below we can also see a cartoon interpretation of the unit cells in Opal.  A 2-D periodic system can be acquired by taking only a single cross-section of unit cells in the pyramid. 
 + 
 +{{courses:lecture:pplec:pplecperiodicdimfig2.jpg|}} 
 + 
 +\textbf{Image Sources: The Wikipedia article about opal crystals.} 
 + 
 +    * // 1-D periodic system example: // a string of atoms in single-molecule conduction. 
 + 
 +{{courses:lecture:pplec:pplecperiodicdimfig3.png|}} 
  * In real physical cases, the systems always physically exist 3-Dimensionally; however, the dimensionality of the periodicity is all that concerns us now.   * In real physical cases, the systems always physically exist 3-Dimensionally; however, the dimensionality of the periodicity is all that concerns us now.
 +  * Visit [[http://departments.kings.edu/chemlab/animation/nbo.html|here]] for some unit cell animations. Cesium Chloride is a good example.
 +
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