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WordNet
- (physical chemistry) a sample of matter in which substances in different phases are in equilibrium; "in a static system oil cannot be replaced by water on a surface"; "a system generating hydrogen peroxide"
- instrumentality that combines interrelated interacting artifacts designed to work as a coherent entity; "he bought a new stereo system"; "the system consists of a motor and a small computer"
- a group of independent but interrelated elements comprising a unified whole; "a vast system of production and distribution and consumption keep the country going" (同)scheme
- a complex of methods or rules governing behavior; "they have to operate under a system they oppose"; "that language has a complex system for indicating gender" (同)system of rules
- a group of physiologically or anatomically related organs or parts; "the body has a system of organs for digestion"
- a procedure or process for obtaining an objective; "they had to devise a system that did not depend on cooperation"
- the living body considered as made up of interdependent components forming a unified whole; "exercise helped him get the alcohol out of his system"
- of or relating to or shaped like a quadrilateral
PrepTutorEJDIC
- 〈C〉(関連した部分から成る)『体系』,系統,組織[網],装置 / 〈C〉(教育・政治などの)『制度』,機構;《the~》体制 / 〈C〉(思想・学問などの)『体系』,学説 / 〈C〉(…の)『方法』,方式,やり方《+of doing》 / 〈U〉正しい方針(筋道,順序) / 〈U〉《the~》(身体の)組織,系統 / 〈U〉《the~,one's~》身体,全身
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An example of the tetragonal crystals, wulfenite
In crystallography, the tetragonal crystal system is one of the 7 crystal systems. 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).
Contents
- 1 Bravais lattices
- 1.1 Two-dimensional
- 1.2 Three-dimensional
- 2 Crystal classes
- 3 See also
- 4 References
Bravais lattices
Further information: Bravais lattice
Two-dimensional
Main article: Square lattice
There is only one tetragonal Bravais lattice in two dimensions: the square lattice.
Three-dimensional
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). One might suppose stretching face-centered cubic would result in face-centered tetragonal, but face-centered tetragonal is equivalent to body-centered tetragonal, BCT (with a smaller lattice spacing). BCT is considered more fundamental, so that is the standard terminology.[1]
Bravais lattice |
Primitive
tetragonal |
Body-centered
tetragonal |
Pearson symbol |
tP |
tI |
Unit cell |
|
|
Crystal classes
The point groups that fall under this crystal system are listed below, followed by their representations in international notation, Schoenflies notation, orbifold notation, Coxeter notation and mineral examples.[2][3]
# |
Point group |
Example |
Space groups |
Class |
Intl |
Schoen. |
Orb. |
Cox. |
75–80 |
Tetragonal pyramidal |
4 |
C4 |
44 |
[4]+ |
pinnoite,
piypite |
P4, P41, P42, P43
I4, I41 |
81–82 |
Tetragonal disphenoidal |
4 |
S4 |
2× |
[2+,4+] |
cahnite, tugtupite |
P4
I4 |
83–88 |
Tetragonal dipyramidal |
4/m |
C4h |
4* |
[2,4+] |
scheelite, wulfenite, leucite |
P4/m, P42/m, P4/n, P42/n
I4/m, I41/a |
89–98 |
Tetragonal trapezohedral |
422 |
D4 |
224 |
[2,4]+ |
cristobalite, wardite |
P422, P4212, P4122, P41212, P4222, P42212, P4322, P43212
I422, I4122 |
99–110 |
Ditetragonal pyramidal |
4mm |
C4v |
*44 |
[4] |
diaboleite |
P4mm, P4bm, P42cm, P42nm, P4cc, P4nc, P42mc, P42bc
I4mm, I4cm, I41md, I41cd |
111–122 |
Tetragonal scalenohedral |
42m |
D2d |
2*2 |
[2+,4] |
chalcopyrite, stannite |
P42m, P42c, P421m, P421c, P4m2, P4c2, P4b2, P4n2
I4m2, I4c2, I42m, I42d |
123–142 |
Ditetragonal dipyramidal |
4/mmm |
D4h |
*224 |
[2,4] |
rutile, pyrolusite, zircon |
P4/mmm, P4/mcc, P4/nbm, P4/nnc, P4/mbm, P4/mnc, P4/nmm, P4/ncc, P42/mmc, P42/mcm, P42/nbc, P42/nnm, P42/mbc, P42/mnm, P42/nmc, P42/ncm
I4/mmm, I4/mcm, I41/amd, I41/acd |
See also
- Crystal structure
- point groups
- Bravais lattices
References
- ^ Cubic-to-Tetragonal Transition
- ^ Webmineral data
- ^ Hurlbut, Cornelius S.; Klein, Cornelis, 1985, Manual of Mineralogy, 20th ed., pp. 73–78, ISBN 0-471-80580-7
The 7 crystal systems
|
- triclinic (anorthic)
- monoclinic
- orthorhombic
- tetragonal
- trigonal & hexagonal
- cubic (isometric)
|
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Related Links
- 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 ...
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