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In crystallography, the rhombohedral (or trigonal) crystal system is one of the seven lattice point groups, named after the two-dimensional rhombus. A crystal system is described by three basis vectors. In the rhombohedral system, the crystal is described by vectors of equal length, of which all three are not mutually orthogonal. The rhombohedral system can be thought of as the cubic system stretched diagonally along a body. a = b = c; $alpha\; =\; beta\; =\; gamma\; neq\; 90^circ$. In some classification schemes, the rhombohedral system is grouped into a larger hexagonal system.

There exists only one rhombohedral Bravais lattice.

name | international | Schoenflies | examples |

rhombohedral holohedral | $overline\{3\}m$ | D_{3d}
| calcite, corundum, hematite |

rhombohedral hemimorphic | $3m$ | C_{3v}
| tourmaline, alunite |

rhombohedral tetartohedral | $overline\{3\}$ | S_{6}
| dolomite, ilmenite |

trapezohedral | $32$ | D_{3}
| quartz, cinnabar |

rhombohedral tetartohedral | $3$ | C_{3}
| none verified |

- Hurlbut, Cornelius S.; Klein, Cornelis, 1985, Manual of Mineralogy, 20th ed., pp. 78 - 89, ISBN 0-471-80580-7

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Last updated on Wednesday October 08, 2008 at 05:35:03 PDT (GMT -0700)

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This article is licensed under the GNU Free Documentation License.

Last updated on Wednesday October 08, 2008 at 05:35:03 PDT (GMT -0700)

View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation

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