Integral reflection conditions

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Conditions de réflexion intégrales (Fr). Integrale Auslöschungen (Ge). Ausencias integrales (Sp).


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

  • Chapter of International Tables for Crystallography, Volume A, 6th edition