# Crystallograpic Systems

Search Webmineral :

## Crystallographic Systems

### Definitions

See the crystallography section for more details.

 System Class Name Hermann-Maguin  Symbol (Point Group) Hermann-Maguin Symbols  Space Groups in Point Group Decoding Space Groups  Bravais Lattice Triclinic Triclinic - Pedial (1) P1 P = Primitive Lattice. 1 = Symmetry Axis (360/1). 1 = Rotoinversion Axis. Triclinic - Pinacoidal (1) P1 Monoclinic Monoclinic - Domatic (m) Cc, Cm, Pc, and Pm P = Primitive Lattice. C = 1 Face Centered Lattice. 2 = Symmetry Axis (360/2). 2/ = Mirror Plane perpendicular to Axis. 21 =  screw symmetric lattice. Monoclinic - Sphenoidal (2) C2, P2, and P21 Monoclinic - Prismatic (2/m) C2/c, C2/m, P2/c, P2/m, P21/c, and P21/m Orthorhombic Orthorhombic - Pyramidal (mm2) Aba2, Abm2, Ama2, Amm2, Ccc2, Cmc21, Cmm2, Fdd2, Fmm2, Iba2, Ima2, Imm2, Pba2, Pca21, Pcc2, Pma2, Pmc21, Pmm2, Pmn21, Pna21, Pnc2, and Pnn2 P = Primitive Lattice. C = 1 Face Centered Lattice. F = 3 Face Centered Lattice. I = Body Centered Lattice. 21 =  Screw Axis. 2 = Symmetry Axis (360/2). a,b,c = Perpendicular Glide Planes. m,n = Oblique Glide Planes. Orthorhombic - Disphenoidal (2 2 2) C222, C2221, F222, I212121, I222, P21212, P212121, P222, and P2221 Orthorhombic - Dipyramidal (2/m 2/m 2/m) Ccca, Cccm, Cmca, Cmcm, Cmma, Cmmm, Fddd, Fmmm, Ibam, Ibca, Imma, Immm, Pbam, Pban, Pbca, Pbcm, Pbcn, Pcca, Pccm, Pccn, Pmma, Pmmm, Pmmn, Pmna, Pnma, Pnna, Pnnm, and Pnnn Trigonal Trigonal - Pyramidal (3) P3, P31, P32, and R3 P = Primitive Lattice. R = Rhombohedral Lattice. 3 = Rotoinversion Axis. 3, 2, 1 = Symmetry Axis (360/n). c= Perpendicular Glide Planes. m = Oblique Glide Planes. Trigonal - Rhombohedral (3) P3 and R3 Trigonal - Ditrigonal Pyramidal (3m) P31c, P31m, P3c1, P3m1, R3c, and R3m Trigonal - Trapezohedral (3 2) P3112, P312, P3121, P321, P3212, P3221, and R32 Trigonal - Hexagonal Scalenohedral (3 2/m) P31c, P31m, P3c1, P3m1, R3c, and R3m Hexagonal Hexagonal - Trigonal Dipyramidal (6) P6 P = Primitive Lattice. 6 = Rotoinversion Axis. 6,2 = Symmetry Axis (360/n). 61, 2, 3, 4, 5 =  Screw Axis. c = Perpendicular Glide Planes. m = Oblique Glide Planes. Hexagonal - Pyramidal (6) P6, P61, P62, P63, P64, and P65 Hexagonal - Dipyramidal (6/m) P6/m, P6/m, and P63/m Hexagonal - Ditrigonal Dipyramidal (6 m2) P62c, P62c, P62m, P6c2, and P6m2 Hexagonal - Dihexagonal Pyramidal (6mm) P63cm, P63mc, P6cc, and P6mm Hexagonal - Trapezohedral (6 2 2) P622, P6122,  P6222, P6322, P6422, P6522 Hexagonal - Dihexagonal Dipyramidal (6/m 2/m 2/m) P6/mcc, P6/mmm, P63/mcm, and P63/mmc Tetragonal Tetragonal - Disphenoidal (4) I4 and P4 P = Primitive Lattice. I = Body Centered Lattice. 4 = Rotoinversion Axis. 4,2 = Symmetry Axis (360/n). 41,2,3 =  Screw Axis. a,b,c = Perpendicular Glide Planes. m,n = Oblique Glide Planes. Tetragonal - Pyramidal (4) I4, I41, P4, P41, P42, and P43 Tetragonal - Dipyramidal (4/m) I4/m, I41/a, P4/m, P4/n, P42/m, and P42/n Tetragonal - Scalenohedral (4 2m) I42d, I42m, I4c2, I4m2, P421c, P421m, P42c, P42m, P4b2, P4c2, P4m2, and P4n2 Tetragonal - Ditetragonal Pyramidal (4mm) I4/mcm, I4/mmm, I41/acd, I41/amd, P4/mbm, P4/mcc, P4/mmm, P4/mnc, P4/nbm, P4/ncc, P4/nmm, P4/nnc, P42/mbc, P42/mcm, P42/mmc, P42/mnm, P42/nbc, P42/ncm, P42/nmc, and P42/nnm Tetragonal - Trapezohedral (4 2 2) I4122, I422, P41212, P4122, P4212, P422, P42212, P4222, P43212, and P4322 Tetragonal - Ditetragonal Dipyramidal (4/m 2/m 2/m) I41cd, I41md, I4cm, I4mm, P42bc, P42cm, P42mc, P42nm, P4bm, P4cc, P4mm, and P4nc Isometric Isometric - Tetartoidal (2 3) F23, I213, I23, P213, and P23 P = Primitive Lattice. F = 3 Face Centered Lattice. I = Body Centered Lattice. 4 = Rotoinversion Axis. 4,3,2 = Symmetry Axis (360/n). 41,2,3 =  Screw Axis. Isometric - Diploidal (2/m 3) Fd3, Fm3, Ia3, Im3, Pa3, Pm3, and Pn3 Isometric - Hextetrahedral (4 3m) F43c, F43m, I43d, I43m, P43m, and P43n Isometric - Gyroidal (4 3 2) F432, F4132, I432, I4132, P432, P4132, P4232,  and P4332 Isometric - Hexoctahedral (4/m 3 2/m) F432, F4132, I432, I4132, P432, P4132, P4232,  and P4332

### Other References on Crystallographic Systems

International Union of Crystallography (IUCr)
Macromolecular Crystallography Web Site (by Bernhard Rupp)
Crystallography 101
Introduction to Crystallography and Mineral Crystal Systems by Mike and Darcy Howard
U.S. Naval Research Laboratory (Crystal Structures)

#### Search the Mineralogy Database

 Match All Any term in the Database: [ All ] Mineralogy Database

Example Subject Searches

Example: Isometric Gyroidal finds all minerals that are Isometric Gyroidal.

#### Search the Web

 Web webmineral.com