Integral reflection conditions

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

Definition

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.

Reflection condition	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)
h − k + l = 3n	rhombohedrally centred, reverse setting
h − k = 3n	hexagonally centred	H

See also

• Chapter 2.1.3.13 of International Tables for Crystallography, Volume A, 6th edition