Difference between revisions of "Chiral space group"
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| − | <font color="blue">Groupe d'espace chiral </font> (''Fr'') | + | <font color="blue">Groupe d'espace chiral </font> (''Fr''). <font color="black">Gruppo spaziale chirale</font> (''It''). <font color="purple">キラル空間群</font> (''Ja''). |
| − | A '''chiral space group''' is a space group whose group structure is [[chirality|chiral]]: its Euclidean [[normalizer]] contains only operations of the first kind. Every chiral type of [[space group]] occurs in two enantiomorphic variants. In E<sup>3</sup> there are thus 22 types of chiral space groups, forming 11 enantiomorphic pairs. | + | A '''chiral space group''' is a space group whose group structure is [[chirality|chiral]]: its Euclidean [[normalizer]] contains only operations of the first kind. Every chiral type of [[space group]] occurs in two enantiomorphic variants. In ''E''<sup>3</sup> there are thus 22 types of chiral space groups, forming 11 enantiomorphic pairs. |
| − | * | + | *''P''4<sub>1</sub>-''P''4<sub>3</sub> |
| − | * | + | *''P''4<sub>1</sub>22-''P''4<sub>3</sub>22 |
| − | * | + | *''P''4<sub>1</sub>2<sub>1</sub>2-''P''4<sub>3</sub>2<sub>1</sub>2 |
| − | * | + | *''P''3<sub>1</sub>-''P''3<sub>2</sub> |
| − | * | + | *''P''3<sub>1</sub>21-''P''3<sub>2</sub>21 |
| − | * | + | *''P''3<sub>1</sub>12-''P''3<sub>2</sub>12 |
| − | * | + | *''P''6<sub>1</sub>-''P''6<sub>5</sub> |
| − | * | + | *''P''6<sub>1</sub>22-''P''6<sub>5</sub>22 |
| − | * | + | *''P''6<sub>2</sub>-''P''6<sub>4</sub> |
| − | * | + | *''P''6<sub>2</sub>22-''P''6<sub>4</sub>22 |
| − | * | + | *''P''4<sub>1</sub>32-''P''4<sub>3</sub>32 |
A chiral [[crystal pattern|crystal structure]] can occur not only in the 22 chiral space-group types but in any of the 65 [[Sohncke groups]]. | A chiral [[crystal pattern|crystal structure]] can occur not only in the 22 chiral space-group types but in any of the 65 [[Sohncke groups]]. | ||
| + | |||
== See also == | == See also == | ||
| − | * | + | *Chapter 3.5.1.2 of ''International Tables for Crystallography, Volume A'', 6th edition |
[[Category:Fundamental crystallography]] | [[Category:Fundamental crystallography]] | ||
[[Category:Crystal chemistry]] | [[Category:Crystal chemistry]] | ||
Revision as of 10:38, 19 May 2017
Groupe d'espace chiral (Fr). Gruppo spaziale chirale (It). キラル空間群 (Ja).
A chiral space group is a space group whose group structure is chiral: its Euclidean normalizer contains only operations of the first kind. Every chiral type of space group occurs in two enantiomorphic variants. In E3 there are thus 22 types of chiral space groups, forming 11 enantiomorphic pairs.
- P41-P43
- P4122-P4322
- P41212-P43212
- P31-P32
- P3121-P3221
- P3112-P3212
- P61-P65
- P6122-P6522
- P62-P64
- P6222-P6422
- P4132-P4332
A chiral crystal structure can occur not only in the 22 chiral space-group types but in any of the 65 Sohncke groups.
See also
- Chapter 3.5.1.2 of International Tables for Crystallography, Volume A, 6th edition