Coordination Number - Usage in Quasicrystal, Liquid and Other Disordered Systems

Usage in Quasicrystal, Liquid and Other Disordered Systems

The coordination number of systems with disorder cannot be precisely defined.

The first coordination number can be defined using the radial distribution function

where is the rightmost position starting from whereon is approximately zero, is the first minimum. Therefore, it is the area under the first peak of .


The second coordination number is defined similarly:


Alternative definitions for the coordination number can be found in literature, but in essence the main idea is the same. One of those definition are as follows: Denote as the position of the first peak,


The first coordination shell is the spherical shell with radius between to around the central particle under investigation.

Read more about this topic:  Coordination Number

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