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  2. Crystallographic point group - Wikipedia

    en.wikipedia.org/wiki/Crystallographic_point_group

    In crystallography, a crystallographic point group is a three dimensional point group whose symmetry operations are compatible with a three dimensional crystallographic lattice. According to the crystallographic restriction it may only contain one-, two-, three-, four- and sixfold rotations or rotoinversions. This reduces the number of ...

  3. Point group - Wikipedia

    en.wikipedia.org/wiki/Point_group

    Each point group can be represented as sets of orthogonal matrices M that transform point x into point y according to y = Mx. Each element of a point group is either a rotation (determinant of M = 1), or it is a reflection or improper rotation (determinant of M = −1). The geometric symmetries of crystals are described by space groups, which ...

  4. Square pyramidal molecular geometry - Wikipedia

    en.wikipedia.org/wiki/Square_pyramidal_molecular...

    The point group symmetry involved is of type C 4v. The geometry is common for certain main group compounds that have a stereochemically-active lone pair, as described by VSEPR theory. Certain compounds crystallize in both the trigonal bipyramidal and the square pyramidal structures, notably [Ni(CN) 5] 3−. [1]

  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. Inorganic chemistry - Wikipedia

    en.wikipedia.org/wiki/Inorganic_chemistry

    A construct in chemistry is molecular symmetry, as embodied in Group theory. Inorganic compounds display a particularly diverse symmetries, so it is logical that Group Theory is intimately associated with inorganic chemistry. [14] Group theory provides the language to describe the shapes of molecules according to their point group symmetry ...

  7. Square antiprismatic molecular geometry - Wikipedia

    en.wikipedia.org/wiki/Square_antiprismatic...

    Square prismatic geometry (D 4h) is much less common compared to the square antiprism.An example of a molecular species with square prismatic geometry (a slightly flattened cube) is octafluoroprotactinate(V), [PaF 8] 3–, as found in its sodium salt, Na 3 PaF 8. [6]

  8. Trigonal prismatic molecular geometry - Wikipedia

    en.wikipedia.org/wiki/Trigonal_prismatic...

    In chemistry, the trigonal prismatic molecular geometry describes the shape of compounds where six atoms, groups of atoms, or ligands are arranged around a central atom, defining the vertices of a triangular prism. The structure commonly occurs for d 0, d 1 and d 2 transition metal complexes with covalently-bound ligands and small charge ...

  9. Pentagonal bipyramidal molecular geometry - Wikipedia

    en.wikipedia.org/wiki/Pentagonal_bipyramidal...

    In chemistry, a pentagonal bipyramid is a molecular geometry with one atom at the centre with seven ligands at the corners of a pentagonal bipyramid. A perfect pentagonal bipyramid belongs to the molecular point group D 5h.