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Difference between revisions of "Arithmetic crystal class"

From Online Dictionary of Crystallography

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   <td> 21 </td>
 
   <td> 21 </td>
 
   <td><math> mmmI </math></td>
 
   <td><math> mmmI </math></td>
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  </tr>
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<tr align=center>
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  <td rowspan=16>Tetragonal</td>
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  <td rowspan=2><math> 4 </math></td>
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  <td> 22 </td>
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  <td><math> 4P </math></td>
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  </tr>
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<tr align=center>
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  <td> 23 </td>
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  <td><math> 4I </math></td>
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  </tr>
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<tr align=center>
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  <td rowspan=2><math> {\bar 4} </math></td>
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  <td> 24 </td>
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  <td><math> {\bar 4}P </math></td>
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  </tr>
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<tr align=center>
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  <td> 25 </td>
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  <td><math> {\bar 4}I </math></td>
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  </tr>
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<tr align=center>
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  <td rowspan=2><math> 4/m </math></td>
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  <td> 26 </td>
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  <td><math> 4/mP </math></td>
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  </tr>
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<tr align=center>
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  <td> 27 </td>
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  <td><math> 4/mI </math></td>
 +
  </tr>
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<tr align=center>
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  <td rowspan=2><math> 422 </math></td>
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  <td> 28 </td>
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  <td><math> 422P </math></td>
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  </tr>
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<tr align=center>
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  <td> 29 </td>
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  <td><math> 422I </math></td>
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  </tr>
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<tr align=center>
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  <td rowspan=2><math> 4mm </math></td>
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  <td> 30 </td>
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  <td><math> 4mmP </math></td>
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  </tr>
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<tr align=center>
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  <td> 31 </td>
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  <td><math> 4mmI </math></td>
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  </tr>
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<tr align=center>
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  <td rowspan=4><math> {\bar 4}m </math></td>
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  <td> 32 </td>
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  <td><math> {\bar 4}2mP </math></td>
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  </tr>
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<tr align=center>
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  <td> 33 </td>
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  <td><math> {\bar 4}m2P </math></td>
 +
  </tr>
 +
<tr align=center>
 +
  <td> 34 </td>
 +
  <td><math> {\bar 4}m2I </math></td>
 +
  </tr>
 +
<tr align=center>
 +
  <td> 35 </td>
 +
  <td><math> {\bar 4}2mI </math></td>
 +
  </tr>
 +
<tr align=center>
 +
  <td rowspan=2><math> 4/mmm </math></td>
 +
  <td> 36 </td>
 +
  <td><math> 4/mmmP </math></td>
 +
  </tr>
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<tr align=center>
 +
  <td> 37 </td>
 +
  <td><math> 4/mmmI </math></td>
 
   </tr>
 
   </tr>
  

Revision as of 15:20, 28 January 2006

Arithmetic crystal classes

Other languages

Classes arithmétiques (Fr).


Definition

Three-dimensional arithmetic crystal classes.
Crystal systems Crystal class
Geometric Arithmetic
Number Symbol
Triclinic 1 1 1P
{\bar 1} 2 {\bar 1}P
Monoclinic 2 3 2P
m 4 2C
5 mP
2/m 6 mC
7 2/m P
8 2/m C
Orthorhombic 222 9 222 P
10 222 C
11 222 F
12 222 I
mm 13 mm2 P
14 mm2 C
15 2mmC
(Amm2)
16 mm2F
17 mm2I
mmm 18 mmmP
19 mmmC
20 mmmF
21 mmmI
Tetragonal 4 22 4P
23 4I
{\bar 4} 24 {\bar 4}P
25 {\bar 4}I
4/m 26 4/mP
27 4/mI
422 28 422P
29 422I
4mm 30 4mmP
31 4mmI
{\bar 4}m 32 {\bar 4}2mP
33 {\bar 4}m2P
34 {\bar 4}m2I
35 {\bar 4}2mI
4/mmm 36 4/mmmP
37 4/mmmI

See also

Section 8.2.3 of International Tables of Crystallography, Volume A
Sections 1.3.4 and 1.5.3 of International Tables of Crystallography, Volume B
Section 1.4 of International Tables of Crystallography, Volume C