Difference between revisions of "Lattice:Hexagonal"

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(Reciprocal-Space Peaks)
Line 4: Line 4:
 
* Allowed reflections:
 
* Allowed reflections:
 
* Peak positions:
 
* Peak positions:
*: <math>q_{hkl}=2\pi\left( \frac{(h^2 + hk + k^2)^2}{a^2} + \frac{l^2}{c^2} \right)</math>
+
*: <math>q_{hkl}=2\pi\left( \frac{(h^2 + hk + k^2)^2}{a^2} + \frac{l^2}{c^2} \right)^{1/2}</math>
 
*: For ''a'' = ''b'' = 1.0, ''c'' = 1.0:
 
*: For ''a'' = ''b'' = 1.0, ''c'' = 1.0:
 
<pre>
 
<pre>

Revision as of 16:51, 10 November 2014

Hexagonal is a general class of lattice symmetries (i.e. how unit cells can be arranged in space).

Reciprocal-Space Peaks

  • Allowed reflections:
  • Peak positions:
    For a = b = 1.0, c = 1.0:
peak    q value         h,k,l   m       f       intensity       intensity_scaled
1:      0.126933036509  1,0,0   2       1       2       0.192150
2:      0.146569645595  1,0,0   6       1       6       0.499222
3:      0.193893415997  1,1,0   12      1       12      0.754752
4:      0.253866073017  2,1,0   8       1       8       0.384301
5:      0.283830898224  2,1,1   12      1       12      0.515594
6:      0.293139291189  2,0,0   18      1       18      0.748832
7:      0.319441136669  2,1,0   12      1       12      0.458117
8:      0.359020843488  2,2,1   12      1       12      0.407613
9:      0.380799109526  3,0,0   2       1       2       0.064050
10:     0.387786831994  3,1,0   24      1       24      0.754752

Lattice peaks-Hexagonal.png

See Also