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D centred cell

From Online Dictionary of Crystallography

Revision as of 13:02, 30 November 2016 by MassimoNespolo (talk | contribs) (typo)

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
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