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  2. Coordination number - Wikipedia

    en.wikipedia.org/wiki/Coordination_number

    α-Aluminium has a regular cubic close packed structure, fcc, where each aluminium atom has 12 nearest neighbors, 6 in the same plane and 3 above and below and the coordination polyhedron is a cuboctahedron. α-Iron has a body centered cubic structure where each iron atom has 8 nearest neighbors situated at the corners of a cube.

  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. Cerium(IV) oxide - Wikipedia

    en.wikipedia.org/wiki/Cerium(IV)_oxide

    The number of oxygen vacancies is frequently measured by using X-ray photoelectron spectroscopy to compare the ratio of Ce 3+ to Ce 4+. The loss of oxygen continues into the molten liquid state where the local Ce-O coordination number drops to predominantly 6-fold, compared to 8-fold in the stoichiometric fluorite structure.

  5. Square antiprismatic molecular geometry - Wikipedia

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

    While local cubic 8-coordination is common in ionic lattices (e.g., Ca 2+ in CaF 2), and some 8-coordinate actinide complexes are approximately cubic, there are no reported examples of rigorously cubic 8-coordinate molecular species. A number of other rare geometries for 8-coordination are also known. [2]

  6. Bond valence method - Wikipedia

    en.wikipedia.org/wiki/Bond_valence_method

    If the structure is not known, the average bond valence, S a can be calculated from the atomic valence, V, if the coordination number, N, of the atom is known using Eq. 3. = / (Eq. 3) If the coordination number is not known, a typical coordination number for the atom can be used instead.

  7. Coordination geometry - Wikipedia

    en.wikipedia.org/wiki/Coordination_geometry

    The coordination geometry of an atom is the geometrical pattern defined by the atoms around the central atom. The term is commonly applied in the field of inorganic chemistry, where diverse structures are observed. The coordination geometry depends on the number, not the type, of ligands bonded to the metal centre as well as their locations.

  8. Cubic crystal system - Wikipedia

    en.wikipedia.org/wiki/Cubic_crystal_system

    Coordination number (CN) is the number of nearest neighbors of a central atom in the structure. [1] Each sphere in a cP lattice has coordination number 6, in a cI lattice 8, and in a cF lattice 12. Atomic packing factor (APF) is the fraction of volume that is occupied by atoms. The cP lattice has an APF of about 0.524, the cI lattice an APF of ...

  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 ...