<P> An entropically governed polymer chain (i.e. in so called theta conditions) follows a random walk in three dimensions . The radius of gyration for this case is given by </P> <Dl> <Dd> R g = 1 6 N a (\ displaystyle R_ (\ mathrm (g)) = (\ frac (1) ((\ sqrt (6)) \)) \ (\ sqrt (N)) \ a) </Dd> </Dl> <Dd> R g = 1 6 N a (\ displaystyle R_ (\ mathrm (g)) = (\ frac (1) ((\ sqrt (6)) \)) \ (\ sqrt (N)) \ a) </Dd> <P> Note that although a N (\ displaystyle aN) represents the contour length of the polymer, a (\ displaystyle a) is strongly dependent of polymer stiffness and can vary over orders of magnitude . N (\ displaystyle N) is reduced accordingly . </P>

What is the significance of radius of gyration