Equation-of-state for noninteracting disconnected particles in

Flory s theory starts with consideration of noninteracting, disconnected particles in 1-D. The results obtained are then generalized to 3-D and the interactions and connectivity introduced in a subtle, yet elegant, fashion. 

Consider the n unconnected particles shown in Fig. 3.9. Let the length of the system be L and I be the core particle length (diameter). The average space in 

1-D available per particle is simply /=L/n ( / ). The totality of configurational space available to the system Q in the jc-direction is 

The reader can easily check the validity of the integration for small values of n. The inverse of Sterling s approximation for In n gives, after some elementary algebra, a second rendition of Q  

---