Ideal chain model: Difference between revisions
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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]]. | 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== | ==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
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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 bonds will look exactly like the the result of steps of a random walk.
End-to-end vector[edit]
The end-to-end vector, is given by the sum of the individual bonds, i.e. . The average of this vector will be zero.
References[edit]
- Related reading