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Difference between revisions of "Arithmetic crystal class"

From Online Dictionary of Crystallography

 
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== Definition ==
 
== Definition ==
  
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<table border cellspacing=0 cellpadding=5 align=center>
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<caption align=top> '''Three-dimensional arithmetic crystal classes.''' </caption>
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<tr align=center>
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    <th rowspan=3> Crystal systems</th>
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    <th colspan=3> Crystal class</th>
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</tr>
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<tr align=center>
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    <th rowspan=1 > Geometric</th>
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    <th colspan=2> Arithmetic</th>
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</tr>
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<tr align=center>
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    <th> </th>
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    <th> Number </th>
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    <th> Symbol </th>
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  </tr>
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<tr align=center>
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  <td rowspan=2>Triclinic</td>
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  <td><math> 1 </math></td>
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  <td> 1 </td>
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  <td><math> 1P </math></td>
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  </tr>
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<tr align=center>
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    <td><math> {\bar 1} </math></td>
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  <td> 2 </td>
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  <td><math> {\bar 1}P </math></td>
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</tr>
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<tr align=center>
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  <td rowspan=6>Monoclinic</td>
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  <td><math> 2 </math></td>
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  <td> 3 </td>
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  <td><math> 2P </math></td>
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  </tr>
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<tr align=center>
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    <td><math> m </math></td>
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  <td> 4 </td>
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  <td><math> 2C </math></td>
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</tr>
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<tr align=center>
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    <td><math> m </math></td>
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  <td> 5 </td>
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  <td><math> mP </math></td>
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</tr>
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<tr align=center>
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    <td><math> 2/m </math></td>
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  <td> 6 </td>
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  <td><math> mC </math></td>
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</tr>
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<tr align=center>
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    <td><math> 2/m </math></td>
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  <td> 7 </td>
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  <td><math> 2/m P </math></td>
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</tr>
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<tr align=center>
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    <td><math> 2/m </math></td>
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  <td> 8 </td>
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  <td><math> 2/m C </math></td>
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</tr>
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</table>
  
 
=== See also ===
 
=== See also ===

Revision as of 10:54, 28 January 2006

Symmorphic

Other languages

Classes arithmétiques (Fr).


Definition

Three-dimensional arithmetic crystal classes.
Crystal systems Crystal class
Geometric Arithmetic
Number Symbol
Triclinic [math] 1 [/math] 1 [math] 1P [/math]
[math] {\bar 1} [/math] 2 [math] {\bar 1}P [/math]
Monoclinic [math] 2 [/math] 3 [math] 2P [/math]
[math] m [/math] 4 [math] 2C [/math]
[math] m [/math] 5 [math] mP [/math]
[math] 2/m [/math] 6 [math] mC [/math]
[math] 2/m [/math] 7 [math] 2/m P [/math]
[math] 2/m [/math] 8 [math] 2/m C [/math]

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