Coordination number

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Section from the NaCl crystal structure with the coordination number 6 for Na and Cl

The coordination number (KZ) denotes the number of the closest neighbors of a structural unit ( atom , ion , molecule ) in a crystal (e.g. ion crystal , metal lattice ) or the number of atoms directly bound to a central atom in a complex . A crystal structure is defined by specifying the position of its building blocks; H. by their coordination in the unit cell .

The coordination numbers 4 and 6 occur most frequently, with 2, 3, 8 and 12 also occurring, and sometimes other values ​​in complexes. The coordination number depends , among other things, on the radius ratio of the ions (in the ion crystal ) or on the binding properties (in complexes ). The coordination number in crystals usually increases with pressure, e.g. B. the transition from graphite (KZ: 3) to diamond (KZ: 4).

The coordination number in crystal lattices is given in square brackets. Table salt is an example : Na [6] Cl [6], which corresponds to a rectangular lattice structure. Every sodium ion has 6 neighboring chloride ions and every chloride ion has 6 neighboring sodium ions; the coordination polyhedron in both cases is an octahedron .

In certain crystal structures , the same structural unit can also occur in positions with different coordination numbers.

Examples

The following table shows the coordination numbers for some types of grids.

Lattice structure Coordination number
simple cubic ( sc ) 6th
face-centered cubic ( fcc ) 12
body-centered cubic ( bcc ) 8th
hexagonal close packing of spheres ( hcp ) 12
Diamond structure 4th

literature

Individual evidence

  1. ^ Harald Ibach, Hans Lüth: Solid State Physics . 7th edition. Springer Verlag, Berlin 2009, ISBN 978-3-540-85794-5 , pp. 31-35 .