Equilibrium critical phenomena in binary liquid mixtures

Kumar, Anil; Krishnamurthy, H. R.; Gopal, E. S. R.

doi:10.1016/0370-1573(83)90106-0

Cited by 270 publications

(152 citation statements)

References 369 publications

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“…It appears quite clearly from earlier literature that until the late 1970s or even early 1980s the typical accepted experimental values for the critical exponent β describing the order parameter dependence on temperature in binary mixtures was somewhat larger than the expected theoretical value for that exponent ( [9,2,10,11]). In a compilation of experimental data on binary liquid mixtures, Stein and Allen [9] found that the data of the systems they analyzed were all consistent with the critical exponent β = 0.34 ± 0.01.…”

Section: Introductionmentioning

confidence: 80%

“…A different way to perform the analysis of the data and arguably the ultimate verification of the importance of correction terms and of the goodness of the estimate of the measured β is achieved by plotting the data in a manner that separates the contribution of the corrections terms from the rest of the terms in the relation (2). If no correction terms are needed to fit the data and the value of the critical exponent is "correct", a log-log plot of ∆φ H /t β vs t would distribute the data along a horizontal line (we call this a sensitive plot).…”

Section: The Critical Exponent βmentioning

confidence: 99%

“…The modern theory of critical phenomena being as widely accepted and successful as it is, it seemed worthwhile to try some fits to the data by using the theoretical value of β and adding two correction terms in the scaling law (2). It has been suggested that different exponents for the second correction term can be tried when analyzing coexistence curve data [23,2,22].…”

Section: The Critical Exponent βmentioning

confidence: 99%

“…It has been suggested that different exponents for the second correction term can be tried when analyzing coexistence curve data [23,2,22]. Further fits to our coexistence data were then tried with the second correction terms being: B 2 t 2∆ , with ∆ = 0.54, B ′ 2 t 1−α , where α = 0.11 is the specific heat critical exponent, and B ′′ 2 t 2β with β = 0.326.…”

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: Introductionmentioning

confidence: 80%

Section: The Critical Exponent βmentioning

confidence: 99%

Section: The Critical Exponent βmentioning

confidence: 99%

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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“…The temperature stability, the temperature va,iation across the sample, and the unce,'tainty of the temperatu,'e are all about 0.1 K or less. The choice for the proper order parameter is often made by using the criterion of a symmetric coexistence curve [24]. In the case of helium nitrogen our choice for tile volume fraction instead of, for instance, the mole fraction does not only result in a more symmetric coexistence curve, but also in a nearly symmetric FWHM curve, while the fi'equency shift as a function o1" the volume fi'action (at constant T and p) is then ahnost a straight line.…”

Section: Resultsmentioning

confidence: 99%

Broadening of the vibrational linewidth in a mixture due to critical concentration fluctuations

Schouten

Scheerboom

1995

Int J Thermophys

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Disclaimer/Complaints regulationsIf you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: http://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. Download date: 03 May 2019International Journal of Thermophysics. Vol. 16, No. 3. 1995 Broadening of the Vibrational Linewidth in a Mixture Due to Critical Concentration Fluctuations J. A. Schouten 2'3 and M. 1. M. Scheerboom 2Vibrational Raman spectroscopy is a very usful technique Ibr studying the dynamical behavior of a system, in particular in the critical region. In a mixtt, re, composition fluctuations play an important role and on the basis of the results for pure substances one would expect an increase of the linewidth in approaching the critical point. However, in previous experiments such an effect was not detected. The reasons for this failure will be discussed. Recently, we have observed a considerable broadening of the linewidth in approaching the critical point in the system helium-nitrogen under high pressure. However, it is wellknown that broadening may occur through various other mechanisms such as changes in density, composition fluctuations far from the critical point, aggregation, etc. On the basis of the helium-nitrogen data the pitfalls in the experimental determination of critical broadening are discussed. The data analysis takes into account the contribution of noncritical effects. Consequences are drawn for the interpretation of spectroscopic data in terms of concentration of species in supercritical solvents. Moreover, we discuss the possibility of a difference between the local composition and the bulk composition and demonstrate from our line shift data that this is not a critical effect.

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Criticality of Ionic Fluids

Weingärtner

Schröer

2001

Advances in Chemical Physics

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Equilibrium critical phenomena in binary liquid mixtures

Cited by 270 publications

References 369 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

Broadening of the vibrational linewidth in a mixture due to critical concentration fluctuations

Criticality of Ionic Fluids

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