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  2. Coordination number - Wikipedia

    en.wikipedia.org/wiki/Coordination_number

    In chemistry, coordination number, defined originally in 1893 by Alfred Werner, is the total number of neighbors of a central atom in a molecule or ion. [1] [3] ...

  3. Pauling's rules - Wikipedia

    en.wikipedia.org/wiki/Pauling's_rules

    For typical ionic solids, the cations are smaller than the anions, and each cation is surrounded by coordinated anions which form a polyhedron.The sum of the ionic radii determines the cation-anion distance, while the cation-anion radius ratio + / (or /) determines the coordination number (C.N.) of the cation, as well as the shape of the coordinated polyhedron of anions.

  4. Coordination geometry - Wikipedia

    en.wikipedia.org/wiki/Coordination_geometry

    The coordination geometry depends on the number, not the type, of ligands bonded to the metal centre as well as their locations. The number of atoms bonded is the coordination number. The geometrical pattern can be described as a polyhedron where the vertices of the polyhedron are the centres of the coordinating atoms in the ligands. [1]

  5. Geometry index - Wikipedia

    en.wikipedia.org/wiki/Geometry_index

    In coordination chemistry and crystallography, the geometry index or structural parameter (τ) is a number ranging from 0 to 1 that indicates what the geometry of the coordination center is. The first such parameter for 5-coordinate compounds was developed in 1984. [1]

  6. Cation-anion radius ratio - Wikipedia

    en.wikipedia.org/wiki/Cation-anion_radius_ratio

    This diagram is for octahedral interstices (coordination number six): 4 anions in the plane shown, 1 above the plane and 1 below. The stability limit is at r C /r A = 0.414. The radius ratio rule defines a critical radius ratio for different crystal structures, based on their coordination geometry. [1]

  7. Bond valence method - Wikipedia

    en.wikipedia.org/wiki/Bond_valence_method

    The coordination number depends on the surface area of the atom, and so is proportional to r 2. If V E is the charge on the atomic core (which is the same as the valence of the atom when all the electrons in the valence shell are bonding), and N E is the corresponding average coordination number, V E /N E is proportional to the electric field ...

  8. Close-packing of equal spheres - Wikipedia

    en.wikipedia.org/wiki/Close-packing_of_equal_spheres

    The coordination number of HCP and FCC is 12 and their atomic packing factors (APFs) are equal to the number mentioned above, 0.74. Comparison between HCP and FCC Figure 1 – The HCP lattice (left) and the FCC lattice (right).

  9. Flory–Huggins solution theory - Wikipedia

    en.wikipedia.org/wiki/Flory–Huggins_solution...

    where is the coordination number, the number of nearest neighbors for a lattice site, each one occupied either by one chain segment or a solvent molecule. That is, x N 2 {\displaystyle xN_{2}} is the total number of polymer segments (monomers) in the solution, so x N 2 z {\displaystyle xN_{2}z} is the number of nearest-neighbor sites to all the ...