Dilute Solution Viscometry Analysis

Dilute Solution Viscometry is one of the oldest but most informative techniques of polymer characterization. Solution viscometry reveals invaluable information on molecular density, conformation and structure (i.e. branching, chain length, chain flexibility and aggregation) of macromolecules in solution. Solution viscosity can also be used to determine the molecular weights of polymers. Intrinsic Viscosity, [η], a solution viscosity parameter, relates directly to the molecular mass of macromolecules in solution by the Mark-Houwink-Sakurada (M-H-S) equation:

[n] = KMa

Using Einstein’s viscosity equation, solution viscometry can also determine the hydrodynamic size of macromolecules in solutions:

E = E0(1+2.5V)

Intrinsic viscosity is inversely proportional to molecular density; therefore lower [η] values are indicative of higher molecular densities. For examples, two polymers, A and B, having linear and branched-chain structures, respectively, can have the same hydrodynamic size (Rh) however the molecular density will be lower for the linear polymer than the branched polymer as indicated by higher [η] for polymer A. Contrariwise, the molecular weight (M) of the branched polymer, B, will be higher than the linear polymer, A.