Arithmetic crystal class

Arithmetic crystal classes

Other languages

Classes arithmétiques (Fr).

Definition

Three-dimensional arithmetic crystal classes.

Crystal systems	Crystal class
	Geometric	Arithmetic
		Number	Symbol
Triclinic	$1$	1	$1P$
	${\bar 1}$	2	${\bar 1}P$
Monoclinic	$2$	3	$2P$
	$m$	4	$2C$
		5	$mP$
	$2/m$	6	$mC$
		7	$2/m P$
		8	$2/m C$
Orthorhombic	$222$	9	$222 P$
		10	$222 C$
		11	$222 F$
		12	$222 I$
	$mm$	13	$mm2 P$
		14	$mm2 C$
		15	$2mmC$
			$(Amm2)$
		16	$mm2F$
		17	$mm2I$
	$mmm$	18	$mmmP$
		19	$mmmC$
		20	$mmmF$
		21	$mmmI$

See also

Section 8.2.3 of International Tables of Crystallography, Volume A
Sections 1.3.4 and 1.5.3 of International Tables of Crystallography, Volume B
Section 1.4 of International Tables of Crystallography, Volume C