Orthorhombic crystal system
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Orthorhombic crystal system
In crystallography, the orthorhombic crystal system is one of the seven lattice point groups. Orthorhombic lattices result from stretching a cubic lattice along two of its orthogonal pairs by two different factors, resulting in a rectangular prism with a rectangular base (a by b) and height (c), such that a, b, and c are distinct. All three bases intersect at 90° angles. The three lattice vectors remain mutually orthogonal.
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Bravais Lattices
There are four orthorhombic Bravais lattices: simple orthorhombic, body-centered orthorhombic, base-centered orthorhombic, and face-centered orthorhombic.
| Primitive | Body-centered | Base-centered | Face-centered |
|---|---|---|---|
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Crystal Classes
The orthorhombic crystal system class names, examples, Schönflies notation, Hermann-Mauguin notation, point groups, International Tables for Crystallography space group number,[1] orbifold, type, and space groups are listed in the table below.
| # | Point group | Example | Type | Space groups | ||||
|---|---|---|---|---|---|---|---|---|
| Name | Schönflies | Intl | Orbifold | Coxeter | ||||
| 16-24 | sphenoidal [2] | D2 | 222 | 222 | [2,2]+ | epsomite | enantiomorphic | P222, P2221, P21212, P212121, C2221, C222, F222, I222, I212121 |
| 25-46 | pyramidal [2] | C2v | mm2 | *22 | [2] | hemimorphite, bertrandite | polar | Pmm2, Pmc21, Pcc2, Pma2, Pca21, Pnc2, Pmn21, Pba2, Pna21, Pnn2, Cmm2, Cmc21, Ccc2, Amm2, Aem2, Ama2,Aea2, Fmm2, Fdd2, Imm2, Iba2, Ima2 |
| 47-74 | bipyramidal [2] | D2h | mmm | *222 | [2,2] | olivine, aragonite, marcasite | centrosymmetric | Pmmm, Pnnn, Pccm, Pban, Pmma, Pnna, Pmna, Pcca, Pbam, Pccn, Pbcm, Pnnm, Pmmn, Pbcn, Pbca, Pnma, Cmcm, Cmce, Cmmm, Cccm, Cmme, Ccce, Fmmm, Fddd, Immm, Ibam, Ibca, Imma |
See also
References
- Hurlbut, Cornelius S.; Klein, Cornelis, 1985, Manual of Mineralogy, 20th ed., pp. 69 – 73, ISBN 0-471-80580-7
- ^ Prince, E., ed. (2006). International Tables for Crystallography. International Union of Crystallography. doi:10.1107/97809553602060000001. ISBN 978-1-4020-4969-9.
- ^ a b c "The 32 crystal classes". http://www.cartage.org.lb/en/themes/sciences/physics/SolidStatePhysics/AtomicBonding/CrystalStructure/32Crystal/32Crystal.htm. Retrieved 2009-07-08.
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