The scaling behaviour of the zero shear rate viscosity of semidilute unentangled DNA solutions, in the double crossover regime driven by temperature and concentration, is mapped out by systematic experiments. The viscosity is shown to have a power law dependence on the scaled concentration c/c * , with an effective exponent that depends on the solvent quality parameter z. The determination of the form of this universal crossover scaling function requires the estimation of the θ temperature of dilute DNA solutions in the presence of excess salt, and the determination of the solvent quality parameter at any given molecular weight and temperature. The θ temperature is determined to be T θ ≈ 15 • C using static light scattering, and the solvent quality parameter has been determined by dynamic light scattering. Typeset by REVT E Xand AIP 15 • C 20 • C 25 • C 30 • C 35 • C z 0 0.11 0.22 0.32 0.43 2.9 kbp c * 0.371 0.313 0.278 0.253 0.234 z 0 0.16 0.31 0.46 0.60 5.9 kbp c * 0.251 0.201 0.173 0.155 0.142 z 0 0.19 0.37 0.54 0.71 8.3 kbp c * 0.214 0.165 0.141 0.125 0.114 z 0 0.22 0.43 0.63 0.83 11.1 kbp c * 0.184 0.139 0.117 0.103 0.093 z 0 0.33 0.64 0.95 1.24 25 kbp c * 0.123 0.084 0.068 0.059 0.052 z 0 0.44 0.86 1.27 1.66 45 kbp c * 0.092 0.058 0.045 0.039 0.034 z 0 0.69 1.37 2.03 2.66 114.8 kbp c * 0.057 0.031 0.023 0.019 0.017 z 0 1.11 2.18 3.22 4.22 289 kbp c * 0.036 0.016 0.012 0.010 0.008 minutes at their maximum concentrations. This was done to prevent aggregation of long DNA chains [Heo and Larson, 2005]. The shear rate range of the instrument, under the applied geometry, is from 0.01 to 100 s −1 . At each shear rate, a delay of 30 seconds was employed so that the DNA chains have sufficient time to relax to their equilibrium state. Some typical relaxation times observed in dilute and semidilute solutions are given in Table I. At each temperature, a 30 minutes incubation time was employed for sample equilibration.
III. SOLVENT QUALITY CROSSOVER OF THE ZERO SHEAR RATE VISCOSITY
A. Zero shear rate viscosity of semidilute solutionsThe scaling behaviour of the zero shear rate viscosity of semidilute polymer solutions can be determined by measuring the viscosity as a function of concentration and temperature for a range of molecular weights, and then representing this behaviour in terms of the crossover variables z and c/c * . In order to do so, however, as discussed earlier in section I, it is first necessary to