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)
“Shopping malls are liquid TVs for the end of the twentieth century. A whole micro-circuitry of desire, ideology and expenditure for processed bodies drifting through the cyber-space of ultracapitalism.”
—Arthur Kroker (b. 1945)
“Our acceptance of an ontology is, I think, similar in principle to our acceptance of a scientific theory, say a system of physics; we adopt, at least insofar as we are reasonable, the simplest conceptual scheme into which the disordered fragments of raw experience can be fitted and arranged.”
—Willard Van Orman Quine (b. 1908)
“Not out of those, on whom systems of education have exhausted their culture, comes the helpful giant to destroy the old or to build the new, but out of unhandselled savage nature, out of terrible Druids and Berserkirs, come at last Alfred and Shakespeare.”
—Ralph Waldo Emerson (1803–1882)