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
Famous quotes containing the words usage, liquid, disordered and/or systems:
“I am using it [the word ‘perceive’] here in such a way that to say of an object that it is perceived does not entail saying that it exists in any sense at all. And this is a perfectly correct and familiar usage of the word.”
—A.J. (Alfred Jules)
“Tomorrow night, when Phoebe doth behold
Her silver visage in the watery glass,
Decking with liquid pearl the bladed grass.”
—William Shakespeare (1564–1616)
“The great question which in all ages has disturbed mankind, and brought on them the greatest part of those mischiefs which have ruined cities, depopulated countries, and disordered the peace of the world, has been, not whether there be power in the world, nor whence it came, but who should have it.”
—John Locke (1632–1704)
“No civilization ... would ever have been possible without a framework of stability, to provide the wherein for the flux of change. Foremost among the stabilizing factors, more enduring than customs, manners and traditions, are the legal systems that regulate our life in the world and our daily affairs with each other.”
—Hannah Arendt (1906–1975)