Flory–Fox assumption

https://doi.org/10.1351/goldbook.12264
Assumption that the Kirkwood–Riseman theory can be applied to linear isolated macromolecules in solution, independent of whether they are in the theta state.
Note: The Kirkwood–Riseman relationships between \(r_{D}\) and \(r_{\eta}\) and the root-mean-square radius of gyration, \(\lt\!s^{2}\!\gt\), are then \[r_{D} = 0.675 \lt\!s^{2}\!\gt^{1/2} = 0.675 \lt\!s_{\circ}^{2}\!\gt^{1/2} \alpha_{D}\] and \[r_{\eta} = 0.256 \lt\!s^{2}\!\gt^{1/2} = 0.256 \lt\!s_{\circ}^{2}\!\gt^{1/2} \alpha_{\eta}\] where \(r_{D}\) and \(r_{\eta}\) are the equivalent hydrodynamic radii in translational diffusive flow and viscous flow, and \(\alpha_{D}\) and \(\alpha_{\eta}\) are the corresponding expansion factors.
Source:
PAC, 2015, 87, 71. (Definitions of terms relating to individual macromolecules, macromolecular assemblies, polymer solutions, and amorphous bulk polymers (IUPAC Recommendations 2014)) on page 104 [Terms] [Paper]