Difference between revisions of "Lattice:AlB2"

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(Atomic)
(Canonical AlB2)
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==Canonical AlB<sub>2</sub>==
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AlB<sub>2</sub> is a [[Lattice:Hexagonal|hexagonal]] [[lattice]], with two distinct kinds of particles.
 +
 
 
===Symmetry===
 
===Symmetry===
 
* Crystal Family: Hexagonal
 
* Crystal Family: Hexagonal
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* <math> 2 \, \mathrm{inner} \, \times \, 1 = 2</math>
 
* <math> 2 \, \mathrm{inner} \, \times \, 1 = 2</math>
 
** <math>\left(\frac{1}{3},\frac{1}{3},\frac{1}{2} \right), \, \left(\frac{2}{3},\frac{2}{3},\frac{1}{2} \right),</math>
 
** <math>\left(\frac{1}{3},\frac{1}{3},\frac{1}{2} \right), \, \left(\frac{2}{3},\frac{2}{3},\frac{1}{2} \right),</math>
 
  
 
===Particle Positions (Cartesian coordinates)===
 
===Particle Positions (Cartesian coordinates)===

Revision as of 10:27, 14 October 2014

AlB2 is a hexagonal lattice, with two distinct kinds of particles.

Symmetry

  • Crystal Family: Hexagonal
  • Space Group: P6/mmm, No. 191
  • Particles per unit cell:
    • 'inner' particles:
    • 'corner' particles:
  • Dimensionality:

Particle Positions (basis vectors)

There are 10 positions, with 3 particles in the unit cell

Particle A: corners

These are the corners of the hexagonal frame. There are 8 corner positions, which contributes a total of 1 particle.

Particle B: inner

These are the two inner particles.

Particle Positions (Cartesian coordinates)

Particle A: corners

Particle B: inner

Examples

Elemental

None

Atomic

Nano