Difference between revisions of "D centred cell"
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| − | The '''D centred cell''' is | + | <font color="blue">Maille centrée D</font> (''Fr''). <font color="red">D-zentrierte Zelle</font> (''Ge''). <font color="black">Cella centrata D</font> (''It''). <font color="purple">D 複合単位胞</font> (''Ja''). <font color="green">Celda (o red) centrada D </font> (''Sp''). |
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| + | The '''D centred cell''' is used for the rhombohedral description of the hexagonal lattice. Six right-handed ''D'' cells with basis vectors of equal length are obtained from the ''hP'' cell by means of one of the following transformation matrices: | ||
''D''<sub>1</sub>: 10-1/01-1/111 ''D''<sub>2</sub>: -101/0-11/111 | ''D''<sub>1</sub>: 10-1/01-1/111 ''D''<sub>2</sub>: -101/0-11/111 | ||
| − | + | The other four ''D'' cells are obtained by cyclic permutation of the basis vectors. | |
| − | The resulting ''hD'' cell has centring nodes at 1/3,1/3,1/3 and 2/3,2/3,2/3 | + | The resulting ''hD'' cell has centring nodes at 1/3,1/3,1/3 and 2/3,2/3,2/3. |
== See also == | == See also == | ||
| + | *[[Centred lattice]] | ||
*[[H centred cell]] | *[[H centred cell]] | ||
| − | * | + | *Chapter 1.5.3.1 of ''International Tables for Crystallography, Volume A,'' 6th edition |
| − | |||
[[Category:Fundamental crystallography]] | [[Category:Fundamental crystallography]] | ||
Latest revision as of 13:38, 29 November 2017
Maille centrée D (Fr). D-zentrierte Zelle (Ge). Cella centrata D (It). D 複合単位胞 (Ja). Celda (o red) centrada D (Sp).
The D centred cell is used for the rhombohedral description of the hexagonal lattice. Six right-handed D cells with basis vectors of equal length are obtained from the hP cell by means of one of the following transformation matrices:
D1: 10-1/01-1/111 D2: -101/0-11/111
The other four D cells are obtained by cyclic permutation of the basis vectors.
The resulting hD cell has centring nodes at 1/3,1/3,1/3 and 2/3,2/3,2/3.
See also
- Centred lattice
- H centred cell
- Chapter 1.5.3.1 of International Tables for Crystallography, Volume A, 6th edition