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point symmetry operation

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  • Symmetry operation — In the context of molecular symmetry, a symmetry operation may be defined as a permutation of atoms such that the molecule or crystal is transformed into a state indistinguishable from the starting state. Two basic facts follow from this… …   Wikipedia

  • Symmetry — For other uses, see Symmetry (disambiguation) …   Wikipedia

  • Symmetry element — A symmetry element is a point of reference about which symmetry operations can take place. In particular, symmetry elements can be centers of inversion, axes of rotation and mirror planes.ee also* Symmetry * Group theory * Crystallography *… …   Wikipedia

  • Symmetry group — Not to be confused with Symmetric group. This article is about the abstract algebraic structures. For other meanings, see Symmetry group (disambiguation). A tetrahedron can be placed in 12 distinct positions by rotation alone. These are… …   Wikipedia

  • Symmetry in mathematics — For other uses, see Symmetry (disambiguation) and Bilateral (disambiguation). Symmetry occurs not only in geometry, but also in other branches of mathematics. It is actually the same as invariance: the property that something does not change… …   Wikipedia

  • Molecular symmetry — in chemistry describes the symmetry present in molecules and the classification of molecules according to their symmetry. Molecular symmetry is a fundamental concept in chemistry, as it can predict or explain many of a molecule s chemical… …   Wikipedia

  • List of character tables for chemically important 3D point groups — This lists the character tables for the more common molecular point groups used in the study of molecular symmetry. These tables are based on the group theoretical treatment of the symmetry operations present in common molecules, and are useful… …   Wikipedia

  • Inversion in a point — In Euclidean geometry, the inversion of a point X in respect to a point P is a point X * such that P is the midpoint of the line segment with endpoints X and X *. In other words, the vector from X to P is the same as the vector from P to X *.The… …   Wikipedia

  • Block cipher modes of operation — This article is about cryptography. For method of operating , see modus operandi. In cryptography, modes of operation is the procedure of enabling the repeated and secure use of a block cipher under a single key.[1][2] A block cipher by itself… …   Wikipedia

  • Quantum operation — In quantum mechanics, a quantum operation is a mathematical formalism used to describe a broad class of transformations that a quantum mechanical system can undergo. This formalism describes not only time evolution or symmetry transformations of… …   Wikipedia

  • Screw axis — The screw axis (helical axis or twist axis) of an object is a parameter for describing simultaneous rotation and translation components of that object.The axis is a directed line in space, along which a translation may occur, and about which… …   Wikipedia

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