Crystal Lattice Structures:

Index by Space Group

Last modified 25 September 2001

Space groups are listed in the order they appear in the Crystallographic Tables.

Where it conflicts with the Crystallographic Tables we use the notation in Pearson's Handbook.

Space Group generators, Wyckoff positions, etc., are available online via the very useful Bilbao Crystallographic Server, and at the National Research Council of Canada's Generation of standard and alternate settings of the 230 Space Groups page. The easiest way to find information about a given space group is to use the Table of Space Group Symbols.

We also have more information on how space groups are presented here.

Monoclinic Structures	Orthorhombic Structures	Tetragonal Structures	Trigonal Structures	Hexagonal Structures	Cubic Structures
(#3-#15)	(#16-#74)	(#75-#142)	(#143-#167)	(#168-#194)	(#195-#230)

Structures in the Monoclinic Crystal System

C2/m (#12)

C34 (AuTe₂) Structure

B2/b or C2/c (#15)

B26 (CuO) Structure

B₂Pd₅ Structure

Structures in the Orthorhombic Crystal System

Pmmm (#47)

[YBa₂Cu₃O_7-x] Structure

Pmma (#51)

B19 (AuCd) Structure

Pnnm (#58)

Fe₂C Structure

Pmmn (#59)

CuTe Structure

Pbca (#61)

Brookite (C21) Structure

Pnma (#62)

A_c (alpha Np) Structure	B16 (GeS) Structure	B27 (FeB) Structure
D0₁₁ (Fe₃C, cementite) Structure	D0₁₁ (Fe₃C, cementite) Structure	D10₁ (C₃Cr₇) Structure
CaTiO₃ Pnma distorted Perovskite		MgB₄ structure

Cmcm (#63)

A20 (alpha Uranium) Structure

B33 (CrB) Structure

C49 (ZrSi₂) Structure

Cmca (#64)

A11 (alpha Ga) Structure

A14 (I₂) Structure

A17 (black Phosphorus) Structure

Cmmm (#65)

Ga₃Pt₅ Structure

Fddd (#70)

alpha-Sulfur (A16) Structure

C54 (TiSi₂) Structure

Ibam (#72)

S₂Si (C42) Structure

Structures in the Tetragonal Crystal System

I(-4) (#82)

Al₂CdS₄ (E3)

P4₁2₁2 (#92)

alpha Cristobalite (SiO₂) Structure

P4₃2₁2 (#96)

`ST12' Silicon Structure

I(-4)2m (#121)

Stannite (H2₆)

I(-4)2d (#122)

E1₁ Chalcopyrite

P4/mmm (#123)

L1₀ (AuCu) Structure

L6₀ (CuTi₃) Structure

P4/nmm (#129)

A_d (beta-Np) Structure

B10 (PbS) Structure

B11 (gamma CuTi) Structure

P4₂/nnm (#134)

T-50 Boron structure

P4₂/mnm (#136)

C4 (Rutile) Structure

I4/mmm (#139)

A_a (alpha Pa) Structure	A6 (Indium) Structure	C11_b (MoSi₂) Structure
BCT5 Structure	D0₂₂ (Al₃Ti) Structure	D0₂₃ (Al₃Zn) Structure
[(La,Ba)₂CuO₄] Structure		Tetrahedrally Bonded Carbon with 4 Member Rings

I4₁/amd (#141)

A5 (beta Sn) Structure

NbP ("40") Structure

Ga₂Hf Structure

Structures in the Trigonal Crystal System

R(-3) (#148)

PdAl Structure

P3₁21 (#152)

A8 (gamma Selenium) Structure

P3₂21 (#154)

B9 (Cinnabar) Structure

alpha (low) Quartz (SiO₂) Structure

R3m (#160)

Moissanite-9R (CSi) Structure

P(-3)m1 (#164)

Trigonal omega Structure

D5₁₉ (Al₃Ni₂) Structure

R(-3)m (#166)

A_i (beta Po) Structure	A7 (Arsenic) Structure	A10 (alpha Hg) Structure
C19 (alpha Sm) Structure	Caswellsilverite (F5₁)	L1₁ (CuPt) Structure
	alpha Boron structure

R(-3)c (#167)

D5₁ (Corundum) Structure

CaCO₃ (Calcite) Structure

P6₂22 (#180)

beta (high) Quartz (SiO₂) Structure

P6₃22 (#182)

Bainite (Fe₃C) Structure

Structures in the Hexagonal Crystal System

P6₃mc (#186)

B4 (Wurtzite) Structure	B8₁ (NiAs) Structure
Moissanite-6H (CSi)	Moissanite-4H (CSi) Structure

P(-6)m2 (#187)

B_h (WC) Structure

BaPtSb Structure

P6/mmm (#191)

A_f (Simple Hexagonal) Lattice	Cu₂Te (C_h)
C32 (ideal omega) Structure	D2_d (CaCu₅) Structure

P6₃/mmc (#194)

A3 (hexagonal close packed) Structure	A3' (alpha La) Structure	A9 (graphite) Structure
C10 (beta Tridymite, SiO₂) Structure	C14 (Hexagonal Laves) Structure	C36 (Hexagonal Laves) Structure
D0₁₈ (Na₃As) Structure	D0₁₉ (Ni₃Sn) Structure	Lonsdaleite (Hexagonal Diamond)
AlCCr₂ Structure	AlN₃Ti₄ Structure	CMo Structure
	Tetrahedrally Bonded Carbon with 3 Member Rings

Structures in the Cubic Crystal System

P2₁3 (#198)

B20 (FeSi) Structure

B21 (CO) Structure

Im(-3) (#204)

Skutterudite (D0₂) Structure

Pa(-3) (#205)

C2 (Pyrite) Structure

SC16 Structure

Ia(-3) (#206)

`BC8' Silicon Structure

P4₁32 (#213)

A13 (beta Mn) Structure

P(-4)3m (#215)

Fe₄C	H2₄ (Sulvanite)

F(-4)3m (#216)

B3 (Zincblende) Structure

C1_b (MgAgAs) Structure

I(-4)3m (#217)

A12 (alpha Mn) Structure

Pm(-3)m (#221)

A_h (simple cubic) Structure	B2 (CsCl) Structure	D0₉ (alpha-ReO₃) Structure
D2₁ (B₆Ca) Structure	E2₁ (Perovskite) Structure	L1₂ (Cu₃Au) Structure
	NbO Structure

Pm(-3)n (#223)

A15 (Cr₃Si) Structure

Si₄₆ Clathrate

Pn(-3)m (#224)

C3 (Ag₂O) Structure

Fm(-3)m (#225)

A1 (fcc) Structure	B1 (NaCl) Structure	C1 (Fluorite) Structure
D0₃ (AlFe₃) Structure		L2₁ (Heusler) Structure

Fd(-3)m (#227)

A4 (diamond) Structure	B32 (NaTl) Structure	Ideal beta-Cristobalite (SiO₂, C9) Structure
C15 (Cu₂Mg) Structure	H1₁ (spinel) Structure	Si₃₄ Clathrate

Im(-3)m (#229)

A2 (bcc) Structure

Pt₃O₄ Structure

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