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:
“...Often the accurate answer to a usage question begins, “It depends.” And what it depends on most often is where you are, who you are, who your listeners or readers are, and what your purpose in speaking or writing is.”
—Kenneth G. Wilson (b. 1923)
“Telephone poles were matchsticks, put there to be snapped off at a whim. Dogs trotting across the road were suddenly big trucks. Old ladies turned into moving—vans. Everything was too bright, but very funny and made for my delight. And about half a mile from my long liquid breakfast I turned carefully down a side street and parked, and sat beaming happily through the tannic fog for about an hour, remembering how witty we all had been, how handsome and talented ... [ellipsis in original]”
—M.F.K. Fisher (1908–1992)
“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)
“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)