D centred cell

From Online Dictionary of Crystallography

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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:

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

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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Fundamental crystallography