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 $N$ bonds will look exactly like the the result of $N$ steps of a random walk.

End-to-end vector

The end-to-end vector, ${\vec {R}}$ is given by the sum of the individual bonds, i.e. $\Sigma _{i=1}^{N}{\vec {r_{i}}}$. The average of this vector will be zero.

References

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