Temperature, concentration, and frequency dependence of the dielectric constant near the critical point of the binary liquid mixture nitrobenzene-tetradecane

Abstract

Detailed results are reported for the dielectric constant epsilon as a function of temperature, concentration, and frequency near the upper critical point of the binary liquid mixture nitrobenzene-tetradecane. The data have been analyzed in the context of the recently developed concept of complete scaling. It is shown that the amplitude of the low frequency critical Maxwell-Wagner relaxation (with a relaxation frequency around 10 kHz) along the critical isopleth is consistent with the predictions of a droplet model for the critical fluctuations. The temperature dependence of epsilon in the homogeneous phase can be well described with a combination of a (1-alpha) power law term (with alpha the heat capacity critical exponent) and a linear term in reduced temperature with the Ising value for alpha. For the proper description of the temperature dependence of the difference Deltaepsilon between the two coexisting phases below the critical temperature, it turned out that good fits with the Ising value for the order parameter exponent beta required the addition of a corrections-to-scaling contribution or a linear term in reduced temperature. Good fits to the dielectric diameter epsilon(d) require a (1-alpha) power law term, a 2beta power law term (in the past considered as spurious), and a linear term in reduced temperature, consistent with complete scaling.