Table 1. Molecular parameters of the a-PS samples under θ-solvent conditions.
| a-PS sample | Mp[MDa] | Mw/Mn | n | LC [μm] | N | lp[nm] |
[nm] |
Rg[nm] | L2 | c* [wt.%] |
|---|---|---|---|---|---|---|---|---|---|---|
| PS7 | 6.9 | 1.09 | 66346 | 16.6 | 6840 | 2.43 | 201 | 82 | 6821 | 0.5 |
| PS16 | 16.2 | 1.07 | 155769 | 38.9 | 16059 | 2.43 | 308 | 126 | 15951 | 0.32 |
The peak molecular weight is Mp and the sample polydispersity is given by Mw/Mn, where Mw and Mn are the weight and number averaged molecular weights, respectively. The number of repeat units is n = Mp/m, where m = 104 Da is the monomer molecular weight. The contour length LC = nlm, where lm = 0.25 nm is the monomer length. The characteristic ratio
, where N is the number of equivalent segments in an ideal chain and lp is the persistence length. The ensemble-averaged equilibrium end-to-end distance of the random coil is
, where Rg is the equilibrium radius of gyration. An extensibility parameter can be defined as
. The characteristic concentration for overlap of polymer chains is found using the formula
, where NA is Avogadro’s constant83.
