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Triclinic crystal system

In crystallography, the triclinic (or anorthic) crystal system is one of the 7 crystal systems. A crystal system is described by three basis vectors. In the triclinic system, the crystal is described by vectors of unequal length, as in the orthorhombic system. In addition, the angles between these vectors must all be different and may not include 90°.

Microcline, an example of the triclinic crystal system
Triclinic (a ≠ b ≠ c and α ≠ β ≠ γ )

The triclinic lattice is the least symmetric of the 14 three-dimensional Bravais lattices. It has (itself) the minimum symmetry all lattices have: points of inversion at each lattice point and at 7 more points for each lattice point: at the midpoints of the edges and the faces, and at the center points. It is the only lattice type that itself has no mirror planes.

Crystal classes edit

The triclinic 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. There are a total of 2 space groups.

# Point group Type Example Space group
Name[2] Schönflies Intl orbifold Coxeter
1 Pedial C1 1 11 [ ]+ enantiomorphic polar Tantite P1
2 Pinacoidal Ci (S2) 1 [2+,2+] centrosymmetric Wollastonite P1

With each only one space group is associated. Pinacoidal is also known as triclinic normal. Pedial is also triclinic hemihedral.

Mineral examples include plagioclase, microcline, rhodonite, turquoise, wollastonite and amblygonite, all in triclinic normal (1).

See also edit

References edit

  1. ^ Prince, E., ed. (2006). International Tables for Crystallography. International Union of Crystallography. doi:10.1107/97809553602060000001. ISBN 978-1-4020-4969-9. S2CID 146060934.
  2. ^ "The 32 crystal classes". Retrieved 2018-06-19.
  • Hurlbut, Cornelius S.; Klein, Cornelis, 1985, Manual of Mineralogy, 20th ed., pp. 64 – 65, ISBN 0-471-80580-7

External links edit

  •   Media related to Triclinic crystal system at Wikimedia Commons

triclinic, crystal, system, crystallography, triclinic, anorthic, crystal, system, crystal, systems, crystal, system, described, three, basis, vectors, triclinic, system, crystal, described, vectors, unequal, length, orthorhombic, system, addition, angles, bet. In crystallography the triclinic or anorthic crystal system is one of the 7 crystal systems A crystal system is described by three basis vectors In the triclinic system the crystal is described by vectors of unequal length as in the orthorhombic system In addition the angles between these vectors must all be different and may not include 90 Microcline an example of the triclinic crystal system Triclinic a b c and a b g The triclinic lattice is the least symmetric of the 14 three dimensional Bravais lattices It has itself the minimum symmetry all lattices have points of inversion at each lattice point and at 7 more points for each lattice point at the midpoints of the edges and the faces and at the center points It is the only lattice type that itself has no mirror planes Contents 1 Crystal classes 2 See also 3 References 4 External linksCrystal classes editFurther information Crystallographic point group The triclinic crystal system class names examples Schonflies 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 There are a total of 2 space groups Point group Type Example Space group Name 2 Schonflies Intl orbifold Coxeter 1 Pedial C1 1 11 enantiomorphic polar Tantite P1 2 Pinacoidal Ci S2 1 1 2 2 centrosymmetric Wollastonite P1 With each only one space group is associated Pinacoidal is also known as triclinic normal Pedial is also triclinic hemihedral Mineral examples include plagioclase microcline rhodonite turquoise wollastonite and amblygonite all in triclinic normal 1 See also editCrystal structure Crystal systemReferences edit Prince E ed 2006 International Tables for Crystallography International Union of Crystallography doi 10 1107 97809553602060000001 ISBN 978 1 4020 4969 9 S2CID 146060934 The 32 crystal classes Retrieved 2018 06 19 Hurlbut Cornelius S Klein Cornelis 1985 Manual of Mineralogy 20th ed pp 64 65 ISBN 0 471 80580 7External links edit nbsp Media related to Triclinic crystal system at Wikimedia Commons Retrieved from https en wikipedia org w index php title Triclinic crystal system amp oldid 1223085778, wikipedia, wiki, book, books, library,

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