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  2. 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 ...

  3. Centrosymmetry - Wikipedia

    en.wikipedia.org/wiki/Centrosymmetry

    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). Such point groups are also said to have inversion symmetry. [2] Point reflection is a similar term used in geometry.

  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. Tetrahedral molecular geometry - Wikipedia

    en.wikipedia.org/wiki/Tetrahedral_molecular_geometry

    In a tetrahedral molecular geometry, a central atom is located at the center with four substituents that are located at the corners of a tetrahedron.The bond angles are arccos(− ⁠ 1 / 3 ⁠) = 109.4712206...° ≈ 109.5° when all four substituents are the same, as in methane (CH 4) [1] [2] as well as its heavier analogues.

  6. 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.

  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. Octahedral molecular geometry - Wikipedia

    en.wikipedia.org/wiki/Octahedral_molecular_geometry

    6, have a lone pair that distorts the symmetry of the molecule from O h to C 3v. [4] [5] The specific geometry is known as a monocapped octahedron, since it is derived from the octahedron by placing the lone pair over the centre of one triangular face of the octahedron as a "cap" (and shifting the positions of the other six atoms to accommodate ...

  9. Gaussian polar coordinates - Wikipedia

    en.wikipedia.org/wiki/Gaussian_polar_coordinates

    In the theory of Lorentzian manifolds, spherically symmetric spacetimes admit a family of nested round spheres.In each of these spheres, every point can be carried to any other by an appropriate rotation about the centre of symmetry.