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Difference between revisions of "D centred cell"

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The '''D centred cell''' is the used for the rhombohedral description of the hexagonal lattice. Six right-handed ''D'' cell with basis vectors of equal length are obtained from the ''hP'' cell by means of one of the following transformation matrices:
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<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.
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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
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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 lattices]]
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*[[Centred lattice]]
 
*[[H centred cell]]
 
*[[H centred cell]]
*Section 4.3.5.3 in the ''International Tables for Crystallography'', Volume A
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*Chapter 1.5.3.1 of ''International Tables for Crystallography, Volume A,'' 6th edition
*Chapter 5 in the ''International Tables for Crystallography'', Volume A
 
  
 
[[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