Chapter 14, Problem 14D.8BE

Interpretation Introduction

Interpretation:

The percentage by which the root mean square separation of the ends of a one-dimensional polymer chain changes if the persistence length changes from $l$ to $2.5\%$ of the contour length has to be stated. The percentage change in the coil volume has to be stated.

Concept introduction:

The bond angle is a type of arbitrary angle for a random coil which is free.  For the $N$ number unit in the polymer, the root mean square separation, $R_{\text{r}\text{.m}\text{.s}}$, for the $3-\text{D}$ random coil with bond length $l$ can be expressed as follows.

    $R_{\text{r}\text{.m}\text{.s}}={\left(N\right)}^{1/2}l$