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- Centrosymmetry abstract "In crystallography, a point group which contains an inversion center as one of its symmetry elements is centrosymmetric. In such a point group, for every point (x, y, z) in the unit cell there is an indistinguishable point (-x, -y, -z). Such point groups are also said to have inversion . Point reflection is a similar term used in geometry.Crystals with an inversion center cannot display certain properties, such as the piezoelectric effect.The following space groups have inversion symmetry: the triclinic space group 2, the monoclinic 10-15, the orthorhombic 47-74, the tetragonal 83-88 and 123-142, the trigonal 147, 148 and 162-167, the hexagonal 175, 176 and 191-194, the cubic 200-206 and 221-230.Point groups lacking an inversion center (non-centrosymmetric) are further divided into polar and chiral types. A chiral point group is one without any rotoinversion symmetry elements. Rotoinversion (also called an 'inversion axis') is rotation followed by inversion; for example, a mirror reflection corresponds to a twofold rotoinversion. Chiral point groups must therefore only contain (purely) rotational symmetry. These arise from the crystal point groups 1, 2, 3, 4, 6, 222, 422, 622, 32, 23, and 432. Chiral molecules such as proteins crystallize in chiral point groups.The term polar is often used for those point groups which are neither centrosymmetric nor chiral. However, the term is more correctly used for any point group containing a unique anisotropic axis. These occur in crystal point groups 1, 2, 3, 4, 6, m, mm2, 3m, 4mm, and 6mm. Thus some chiral space groups are also polar.".
- Centrosymmetry thumbnail Centrosymmetry-_Benzene.png?width=300.
- Centrosymmetry wikiPageID "3510274".
- Centrosymmetry wikiPageLength "3470".
- Centrosymmetry wikiPageOutDegree "23".
- Centrosymmetry wikiPageRevisionID "682434770".
- Centrosymmetry wikiPageWikiLink Category:Symmetry.
- Centrosymmetry wikiPageWikiLink Centrosymmetric_matrix.
- Centrosymmetry wikiPageWikiLink Chirality_(chemistry).
- Centrosymmetry wikiPageWikiLink Chirality_(mathematics).
- Centrosymmetry wikiPageWikiLink Crystal_structure.
- Centrosymmetry wikiPageWikiLink Crystallography.
- Centrosymmetry wikiPageWikiLink Piezoelectric_effect.
- Centrosymmetry wikiPageWikiLink Piezoelectricity.
- Centrosymmetry wikiPageWikiLink Point_group.
- Centrosymmetry wikiPageWikiLink Point_reflection.
- Centrosymmetry wikiPageWikiLink Polar_point_group.
- Centrosymmetry wikiPageWikiLink Protein.
- Centrosymmetry wikiPageWikiLink Proteins.
- Centrosymmetry wikiPageWikiLink Space_group.
- Centrosymmetry wikiPageWikiLink Symmetry.
- Centrosymmetry wikiPageWikiLink Unit_cell.
- Centrosymmetry wikiPageWikiLink File:Centrosymmetry-_Benzene.png.
- Centrosymmetry wikiPageWikiLinkText "Centrosymmetry".
- Centrosymmetry wikiPageWikiLinkText "center of inversion".
- Centrosymmetry wikiPageWikiLinkText "center of symmetry".
- Centrosymmetry wikiPageWikiLinkText "centrally symmetric".
- Centrosymmetry wikiPageWikiLinkText "centrosymmetric molecules".
- Centrosymmetry wikiPageWikiLinkText "centrosymmetric point group".
- Centrosymmetry wikiPageWikiLinkText "centrosymmetric".
- Centrosymmetry wikiPageWikiLinkText "centrosymmetry".
- Centrosymmetry wikiPageWikiLinkText "inversion center".
- Centrosymmetry wikiPageWikiLinkText "inversion symmetry".
- Centrosymmetry wikiPageWikiLinkText "non-centrosymmetric structure".
- Centrosymmetry wikiPageWikiLinkText "non-centrosymmetric".
- Centrosymmetry wikiPageWikiLinkText "noncentrosymmetric".
- Centrosymmetry hasPhotoCollection Centrosymmetry.
- Centrosymmetry wikiPageUsesTemplate Template:Refimprove.
- Centrosymmetry wikiPageUsesTemplate Template:Reflist.
- Centrosymmetry subject Category:Symmetry.
- Centrosymmetry type Article.
- Centrosymmetry type Article.
- Centrosymmetry type Physic.
- Centrosymmetry type Technique.
- Centrosymmetry comment "In crystallography, a point group which contains an inversion center as one of its symmetry elements is centrosymmetric. In such a point group, for every point (x, y, z) in the unit cell there is an indistinguishable point (-x, -y, -z). Such point groups are also said to have inversion .".
- Centrosymmetry label "Centrosymmetry".
- Centrosymmetry sameAs تناظر_مركزي.
- Centrosymmetry sameAs Centrosymétrie.
- Centrosymmetry sameAs Centrosimmetrico.
- Centrosymmetry sameAs m.09hggx.
- Centrosymmetry sameAs Centralna_simetrija.
- Centrosymmetry sameAs Q6960366.
- Centrosymmetry sameAs Q6960366.
- Centrosymmetry sameAs 中心对称图形.
- Centrosymmetry wasDerivedFrom Centrosymmetry?oldid=682434770.
- Centrosymmetry depiction Centrosymmetry-_Benzene.png.
- Centrosymmetry isPrimaryTopicOf Centrosymmetry.
