Difference between revisions of "Integral reflection conditions"

From Online Dictionary of Crystallography

(The selection rules for Obverse and Reverse setting for the Rhombehedrally centered cell were the wrong way round. Email from Alex Hubert; confirmed by Mois Aroyo.)
m (See also: 6th edition of ITA)
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==See also ==
==See also ==
*Section of ''International Tables of Crystallography, Volume A'', 6<sup>th</sup> edition
Section of ''International Tables of Crystallography, Volume A''

Revision as of 15:56, 10 April 2017

Conditions de réflexion intégrales (Fr).


The integral reflections are the general reflection conditions due to the centring of cells. They are given in the table below:

Integral reflection conditions for centred lattices.
Centring type of cell Centring symbol
None Primitive P
R (rhombohedral axes)
h + k = 2n C-face centred C
k + l = 2n A-face centred A
l + h = 2n B-face centred B
h + k + l = 2n body centred I
h + k, h + l and

k + l = 2n or:
h, k, l all odd or all

even (‘unmixed’)
all-face centred F
h + k + l = 3n rhombohedrally

centred, obverse

setting (standard)
R (hexagonal axes)
hk + l = 3n rhombohedrally

centred, reverse

hk = 3n hexagonally centred H

See also

  • Section of International Tables of Crystallography, Volume A, 6th edition