In crystallography, the tetragonal crystal system is one of the 7 lattice point groups. Tetragonal crystal lattices result from stretching a cubic lattice along one of its lattice vectors, so that the cube becomes a rectangular prism with a square base (a by a) and height (c, which is different from a).
There are two tetragonal Bravais lattices: the simple tetragonal (from stretching the simple-cubic lattice) and the centered tetragonal (from stretching either the face-centered or the body-centered cubic lattice).
 Simple tetragonal |
 Body-centered tetragonal |
The point groups that fall under this crystal system are listed below, followed by their representations in international notation and Schoenflies notation, and mineral examples.[1][2]
| Name | International | Schoenflies | Example |
|---|---|---|---|
| Ditetragonal dipyramidal |  |
D4h | rutile, pyrolusite, zircon |
| Ditetragonal pyramidal | 4mm | C4v | diaboleite |
| Tetragonal dipyramidal |  |
C4h | scheelite, wulfenite, leucite |
| Tetragonal pyramidal | 4 | C4 | pinnoite, richellite |
| Tetragonal scalenohedral |  |
D2d | chalcopyrite, stannite |
| Tetragonal trapezohedral | 422 | D4 | cristobalite, wardite |
| Tetragonal disphenoidal |  |
S4 | cahnite, tugtupite |
See also
References
- ^ http://webmineral.com/crystal/Tetragonal.shtml Webmineral
- ^ Hurlbut, Cornelius S.; Klein, Cornelis, 1985, Manual of Mineralogy, 20th ed., pp. 73 - 78, ISBN 0-471-80580-7
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