What does centrosymmetry mean?
Definitions for centrosymmetry
cen·trosym·me·t·ry
This dictionary definitions page includes all the possible meanings, example usage and translations of the word centrosymmetry.
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Wiktionary
centrosymmetrynoun
the property of having a centre of symmetry
Wikipedia
Centrosymmetry
In crystallography, a centrosymmetric point group contains an inversion center as one of its symmetry elements. 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 symmetry. 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) can be polar, chiral, both, or neither. A polar point group is one whose symmetry operations leave more than one common point unmoved. A polar point group has no unique origin because each of those unmoved points can be chosen as one. One or more unique polar axes could be made through two such collinear unmoved points. Polar crystallographic point groups include 1, 2, 3, 4, 6, m, mm2, 3m, 4mm, and 6mm. A chiral (often also called enantiomorphic) point group is one containing only proper (often called "pure") rotation symmetry. No inversion, reflection, roto-inversion or roto-reflection (i.e., improper rotation) symmetry exists in such point group. Chiral crystallographic point groups include 1, 2, 3, 4, 6, 222, 422, 622, 32, 23, and 432. Chiral molecules such as proteins crystallize in chiral point groups. The remaining non-centrosymmetric crystallographic point groups 4, 42m, 6, 6m2, 43m are neither polar nor chiral.
Wikidata
Centrosymmetry
The term centrosymmetric, as generally used in crystallography, refers to a point group which contains an inversion center as one of its symmetry elements. In such a point group, for every point in the unit cell there is an indistinguishable point. Crystals with an inversion center cannot display certain properties, such as the piezoelectric effect. Point groups lacking an inversion center are further divided into polar and chiral types. A chiral point group is one without any rotoinversion symmetry elements. Rotoinversion is rotation followed by inversion; for example, a mirror reflection corresponds to a twofold rotoinversion. Chiral point groups must therefore only contain 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.
Numerology
Chaldean Numerology
The numerical value of centrosymmetry in Chaldean Numerology is: 5
Pythagorean Numerology
The numerical value of centrosymmetry in Pythagorean Numerology is: 6
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"centrosymmetry." Definitions.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.definitions.net/definition/centrosymmetry>.
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