Radius Of Gyration

#Physics

$\displaystyle {\left\langle{R_{G}^{2}}\right\rangle}\equiv \frac{1}{N}\sum_{i = 1}^{N}{\left\langle{R_{i}-R_{\text{CM}}^{2}}\right\rangle}$

• $\displaystyle R_{\text{CM}}^{2}$ is the position of the center of mass of the polymer
• Is roughly the average distance of a strand's end from the polymer's center of mass

$\displaystyle \sqrt{ {\left\langle{R_{G}^{2}}\right\rangle} }=\sqrt{ \frac{L\xi_{p}}{3} }$