Coexistence curves at liquid-liquid critical points: Ising exponents and extended scaling

Greer, Sandra C.

doi:10.1103/physreva.14.1770

Cited by 209 publications

(104 citation statements)

References 54 publications

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“…• C), while not as closely matched as those of other compounds [12], are however less mismatched than at least one other mixture that has revealed no influence of gravitational effect on analogous measurements [18]. …”

Section: The Effect Of Earth's Gravitational Fieldmentioning

confidence: 98%

“…It should be emphasized, however, that the asymptotic region is not known a priori, nor do we have a theoretical estimate of it. Moreover, in certain circumstances experiments on binary mixtures have suggested that the actual asymptotic region extends only to t ≃ 10 −3 from the critical temperature [12,18,19]. In view of such findings, in the analysis of the present data a narrower asymptotic region 0 < t < 10 −3 was chosen to find the critical temperature and Table 1: Parameters values for a nonlinear least square best fit of ∆φ = B 0 t β to the volume fraction data of Fig.…”

Section: The Critical Exponent βmentioning

confidence: 99%

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Coexistence curve of then−heptane+nitrobenzenemixture near its consolute point measured by an optical method

Fameli

Balzarini

2007

Phys. Rev. B

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We have measured the coexistence curve of the binary liquid mixture n-heptane+nitrobenzene (C 7 H 16 + C 6 H 5 NO 2 ) near its consolute point using an optical method. In particular, the critical exponent β describing the coexistence curve was measured for this system. Previous experimental values of β for n-heptane+nitrobenzene were higher than the typical theoretically calculated value, an unusual, although not unique, occurrence. In an effort to study this discrepancy, we have used an improved experimental apparatus for our measurements. We have taken special care to minimize temperature gradients and maximize the temperature stability of our thermal control system. We have also exploited features of a known optical method to analyze, thoroughly, sources of systematic errors. We measured an apparent value of β as 0.367 ± 0.006 and by a careful study of the known sources of error we find that they are not able to remove the discrepancy between the measured and the theoretical values of β. We also measured the critical temperature of the system at T C = (291.80 ± 0.02) K (18.65• C).

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Section: The Effect Of Earth's Gravitational Fieldmentioning

confidence: 98%

Section: The Critical Exponent βmentioning

confidence: 99%

Coexistence curve of then−heptane+nitrobenzenemixture near its consolute point measured by an optical method

Fameli

Balzarini

2007

Phys. Rev. B

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“…For the same mixture, Howland, Wong, and Knobler (HWK) [15] measured the critical surface tension Σ β|γ (T ) while Greer [16] measured the densities on the coexistence curve. These two experiments provide what prove to be valuable consistency checks and calibrations for the NWW data as will be seen below.…”

Section: Introductionmentioning

confidence: 99%

Interfacial tensions near critical endpoints: experimental checks of EdGF theory

Zinn¹,

Fisher²

2005

Molecular Physics

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Predictions of the extended de Gennes-Fisher local-functional theory for the universal scaling functions of interfacial tensions near critical endpoints are compared with experimental data. Various observations of the binary mixture isobutyric acid + water are correlated to facilitate an analysis of the experiments of Nagarajan, Webb and Widom who observed the vapor-liquid interfacial tension as a function of both temperature and density. Antonow's rule is confirmed and, with the aid of previously studied universal amplitude ratios, the crucial analytic "background" contribution to the surface tension near the endpoint is estimated. The residual singular behavior thus uncovered is consistent with the theoretical scaling predictions and confirms the expected lack of symmetry in (T − T c ). A searching test of theory, however, demands more precise and extensive experiments; furthermore, the analysis highlights, a previously noted but surprising, three-fold discrepancy in the magnitude of the surface tension of isobutyric acid + water relative to other systems.

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“…methanol + cyclohexane p = 0.326 f 0.003 at 1 .1 < 0.06 (Jacobs et al, 1977); aniline+cyclohexane p = 0.328f 0.007 at I E~ < 0.03 (Balzarini, 1974); isobutyric acid+water p = 0.328 f 0.004 at 1 .1 < 0.06 (Greer, 1976). These values are in good agreement with p calculated for the king model by means of the renormalization group method (Wilson and Kogut, 1974;Raker et al, 1976;Golner and Riedel, 1976;Ma shang-keng, 1976; le Guillou and Zimm-Justin, 1977).…”

Section: 3mentioning

confidence: 99%

Thermodynamics of Systems Containing Flexible-Chain Polymers

Klenin¹,

Frenkelʹ²

1999

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Coexistence curves at liquid-liquid critical points: Ising exponents and extended scaling

Cited by 209 publications

References 54 publications

Coexistence curve of then−heptane+nitrobenzenemixture near its consolute point measured by an optical method

Coexistence curve of then−heptane+nitrobenzenemixture near its consolute point measured by an optical method

Interfacial tensions near critical endpoints: experimental checks of EdGF theory

Thermodynamics of Systems Containing Flexible-Chain Polymers

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