Integral reflection conditions

From Online Dictionary of Crystallography

Revision as of 13:43, 23 August 2018 by MassimoNespolo (talk | contribs) (more precise formulation)

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


The integral reflections are the general reflection conditions appearing when a multiple (non-primitive) cell is used to describe the Bravais lattice of a crystal. 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