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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. Molecular symmetry - Wikipedia

    en.wikipedia.org/wiki/Molecular_symmetry

    In chemistry, molecular symmetry describes the symmetry present in molecules and the classification of these molecules according to their symmetry. Molecular symmetry is a fundamental concept in chemistry, as it can be used to predict or explain many of a molecule's chemical properties , such as whether or not it has a dipole moment , as well ...

  4. Law of symmetry (crystallography) - Wikipedia

    en.wikipedia.org/wiki/Law_of_symmetry...

    Centre of symmetry. If every face of a crystal has another identical face at an equal distance from a central point, then this point is called the centre of symmetry symbolised as i. A crystal can only have one centre of symmetry. A centre of symmetry is also known as point reflection, inversion symmetry, or centrosymmetry.

  5. List of character tables for chemically important 3D point groups

    en.wikipedia.org/wiki/List_of_character_tables...

    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 in molecular spectroscopy and quantum chemistry. Information regarding the use of the tables, as well ...

  6. Crystal structure - Wikipedia

    en.wikipedia.org/wiki/Crystal_structure

    The defining property of a crystal is its inherent symmetry. Performing certain symmetry operations on the crystal lattice leaves it unchanged. All crystals have translational symmetry in three directions, but some have other symmetry elements as well. For example, rotating the crystal 180° about a certain axis may result in an atomic ...

  7. Symmetry of diatomic molecules - Wikipedia

    en.wikipedia.org/wiki/Symmetry_of_diatomic_molecules

    Molecular symmetry in physics and chemistry describes the symmetry present in molecules and the classification of molecules according to their symmetry. Molecular symmetry is a fundamental concept in the application of quantum mechanics in physics and chemistry, for example, it can be used to predict or explain many of a molecule's properties, such as its dipole moment and its allowed ...

  8. Laporte rule - Wikipedia

    en.wikipedia.org/wiki/Laporte_rule

    The Laporte rule is a rule that explains the intensities of absorption spectra for chemical species. It is a selection rule that rigorously applies to atoms, and to molecules that are centrosymmetric, i.e. with an inversion centre. It states that electronic transitions that conserve parity are forbidden. Thus transitions between two states that ...

  9. Symmetry element - Wikipedia

    en.wikipedia.org/wiki/Symmetry_element

    In chemistry and crystallography, a symmetry element is a point, line, or plane about which symmetry operations can take place. In particular, a symmetry element can be a mirror plane , an axis of rotation (either proper and improper), or a center of inversion .