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:
“Pythagoras, Locke, Socrates—but pages
Might be filled up, as vainly as before,
With the sad usage of all sorts of sages,
Who in his life-time, each was deemed a bore!
The loftiest minds outrun their tardy ages.”
—George Gordon Noel Byron (1788–1824)
“What slender Youth bedew’d with liquid odours
Courts thee on Roses in some pleasant Cave,”
—Horace [Quintus Horatius Flaccus] (65–8)
“The original of the picture you inclose, and which I return, was taken from life, and is, I think, a very true one; though my wife, and many others, do not. My impression is that their objection arises from the disordered condition of the hair.”
—Abraham Lincoln (1809–1865)
“What avails it that you are a Christian, if you are not purer than the heathen, if you deny yourself no more, if you are not more religious? I know of many systems of religion esteemed heathenish whose precepts fill the reader with shame, and provoke him to new endeavors, though it be to the performance of rites merely.”
—Henry David Thoreau (1817–1862)