Actions

Difference between revisions of "D centred cell"

From Online Dictionary of Crystallography

m (languages)
m (typo)
Line 2: Line 2:
  
  
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:
+
The '''D centred cell''' is 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:
  
 
''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

Revision as of 13:02, 30 November 2016

Maille centrée D (Fr); Cella centrata D (It); D 複合単位胞 (Ja).


The D centred cell is 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:

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 lattices
  • H centred cell
  • Section 4.3.5.3 in the International Tables for Crystallography, Volume A
  • Chapter 5 in the International Tables for Crystallography, Volume A