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  2. Centrosymmetry - Wikipedia

    en.wikipedia.org/wiki/Centrosymmetry

    Benzene is a centrosymmetric molecule having a centre of symmetry at the centre. In crystallography, a centrosymmetric point group contains an inversion center as one of its symmetry elements. [1] In such a point group, for every point (x, y, z) in the unit cell there is an indistinguishable point (-x, -y, -z).

  3. Rule of mutual exclusion - Wikipedia

    en.wikipedia.org/wiki/Rule_of_mutual_exclusion

    This does not mean that a vibrational mode which is not Raman active must be IR active: in fact, it is still possible that a mode of a particular symmetry is neither Raman nor IR active. Such spectroscopically "silent" or "inactive" modes exist in molecules such as ethylene (C 2 H 4), benzene (C 6 H 6) and the tetrachloroplatinate ion (PtCl 4 2 ...

  4. 1,3,5-Trichlorobenzene - Wikipedia

    en.wikipedia.org/wiki/1,3,5-Trichlorobenzene

    1,3,5-Trichlorobenzene is an organochlorine compound.It is one of the three isomers of trichlorobenzene.Being more symmetrical than the other isomers, it exists as colourless crystals whereas the other isomers are liquids at room temperature.

  5. Molecular symmetry - Wikipedia

    en.wikipedia.org/wiki/Molecular_symmetry

    In a symmetry group, the group elements are the symmetry operations (not the symmetry elements), and the binary combination consists of applying first one symmetry operation and then the other. An example is the sequence of a C 4 rotation about the z-axis and a reflection in the xy-plane, denoted σ(xy) C 4 .

  6. Parity (physics) - Wikipedia

    en.wikipedia.org/wiki/Parity_(physics)

    Centrosymmetric molecules at equilibrium have a centre of symmetry at their midpoint (the nuclear center of mass). This includes all homonuclear diatomic molecules as well as certain symmetric molecules such as ethylene, benzene, xenon tetrafluoride and sulphur hexafluoride.

  7. Laporte rule - Wikipedia

    en.wikipedia.org/wiki/Laporte_rule

    The Laporte rule is powerful because it applies to complexes that deviate from idealized O h symmetry. For example, the d-d transitions for [Cr(NH 3) 5 Cl] 2+ are weak (ε < 100) even though the complex is only of C 4v symmetry. [5] The Laporte rule helps explain the intense colors often observed for the tetrahedral complexes.

  8. Fixed points of isometry groups in Euclidean space - Wikipedia

    en.wikipedia.org/wiki/Fixed_points_of_isometry...

    The centroid and centre of mass, if defined, are this point. Another meaning of "centre of symmetry" is a point with respect to which inversion symmetry applies. Such a point needs not be unique; if it is not, there is translational symmetry, hence there are infinitely many of such points. On the other hand, in the cases of e.g. C 3h and D 2 ...

  9. X-ray crystallography - Wikipedia

    en.wikipedia.org/wiki/X-ray_crystallography

    Kathleen Lonsdale's 1928 structure of hexamethylbenzene [49] established the hexagonal symmetry of benzene and showed a clear difference in bond length between the aliphatic C–C bonds and aromatic C–C bonds; this finding led to the idea of resonance between chemical bonds, which had profound consequences for the development of chemistry. [50]