Ideal chain model: Difference between revisions
Carl McBride (talk | contribs) (Started page) |
Carl McBride (talk | contribs) m (a little bit more) |
||
| (2 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
{{stub-general}} | {{stub-general}} | ||
'''Ideal chain model''' | The '''Ideal chain model''' is a polymer that is built up of [[ideal gas]] like monomers forming a chain having a fixed bond length. The monomers have zero [[excluded volume]], so they are free to overlap with impunity. Given that, a snapshot of a configuration of an ideal chain having <math>N</math> bonds will look exactly like the the result of <math>N</math> steps of a [[random walk]]. | ||
==End-to-end vector== | |||
The end-to-end vector, <math>\vec{R}</math> is given by the sum of the individual bonds, i.e. <math>\Sigma_{i=1}^N \vec{r_i}</math>. The average of this vector will be zero. | |||
==References== | ==References== | ||
<references/> | <references/> | ||
Latest revision as of 16:06, 15 November 2017
|
This article is a 'stub' page, it has no, or next to no, content. It is here at the moment to help form part of the structure of SklogWiki. If you add sufficient material to this article then please remove the {{Stub-general}} template from this page. |
The Ideal chain model is a polymer that is built up of ideal gas like monomers forming a chain having a fixed bond length. The monomers have zero excluded volume, so they are free to overlap with impunity. Given that, a snapshot of a configuration of an ideal chain having Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle N} bonds will look exactly like the the result of Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle N} steps of a random walk.
End-to-end vector[edit]
The end-to-end vector, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \vec{R}} is given by the sum of the individual bonds, i.e. Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Sigma_{i=1}^N \vec{r_i}} . The average of this vector will be zero.
References[edit]
- Related reading