Coexistence curve, compressibility, and the equation of state of xenon near the critical point
- 1 November 1975
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 12 (5), 2118-2136
- https://doi.org/10.1103/physreva.12.2118
Abstract
Optical interferometric measurements which determine the equation of state of xenon in the neighborhood of the critical point are described. Analysis of Fraunhofer interference patterns from a thin slab of fluid yields data pairs: optical phase and isothermal compressibility , along isotherms in the temperature range , where . Experimental data are analyzed in terms of a new parametric transformation of thermodynamic variables, based on the static scaling hypothesis of Widom, which requires that , where . On the critical isotherm, , we expect that . This accords with observation and yields a sharp determination of which is decoupled from other parameters. The data are well represented by the bilinear form where on the critical isochore and on the coexistence boundary. This is integrated to yield the parametric equation of state , where . A six-parameter fit to 1200 data points yields , , , , , and . This implies , which differs significantly from the value implied by a five-parameter transformation suggested by Ho and Litster. The coexistence curve is measured in the range , and fitted by the power law , with the result and . Systematic deviations indicate that increases for large . A fit with the form yields significant improvement, with , , , and . The disagreement between this and the obtained from fitting the Fraunhofer data will be discussed in the text. The coefficient of isothermal compressibility on the critical isochore is measured in the range , and fitted by the equation . Over the measured range, the data indicate and . There is evidence that depends on the range of fit, and we find for , which agrees well with the determined from the near-critical Fraunhofer data.
Keywords
This publication has 33 references indexed in Scilit:
- ON THE PHENOMENOLOGY OF PHASE TRANSITIONSLe Journal de Physique Colloques, 1971
- Faraday Rotation near the Ferromagnetic Critical Temperature of CrPhysical Review B, 1970
- Equation of state near the critical pointJournal of Physics C: Solid State Physics, 1969
- Parametric Representation of the Equation of State Near A Critical PointPhysical Review Letters, 1969
- Interferometric Determination of Near-Critical Isotherms of Xenon in the Earth's FieldThe Journal of Chemical Physics, 1968
- Thermodynamic Functions for Fluids and Ferromagnets near the Critical PointPhysical Review B, 1967
- Static Phenomena Near Critical Points: Theory and ExperimentReviews of Modern Physics, 1967
- Equation of State in the Neighborhood of the Critical PointThe Journal of Chemical Physics, 1965
- Equipment and Experimental Methods for Interference Diffusion StudiesReview of Scientific Instruments, 1949
- The Theory of an Interference Method for the Study of DiffusionJournal of the American Chemical Society, 1947