Dynamic scaling and background relaxation in the ultrasonic spectra of the ethanol–dodecane critical mixture

Mirzaev, S. Z.; Iwanowski, Ireneusz; Kaatze, U.

doi:10.1016/j.cplett.2006.12.070

Cited by 9 publications

(6 citation statements)

References 33 publications

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“…In order to verify or disprove theoretical predictions for the scaling function of sonic attenuation spectra of binary critical mixtures, we thus consider some selected binary systems for which, on the one hand, crossover effects can be properly treated and for which, on the other hand, significant contributions from noncritical elementary reactions unlikely exist in the ultrasonic spectra. Hence we first focus on the more recently investigated systems methanol-n-hexane [59], methanol-cyclohexane [60], ethanoln-dodecane [61], n-pentanol-nitromethane [62], nitroethane-3-methylpentane [63], nitroethane-cyclohexane [64] and perfluoromethylcyclohexane-carbon tetrachloride [65].…”

Section: Experimental Verification Of Theoretical Modelsmentioning

confidence: 99%

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Sound attenuation near the demixing point of binary liquids: interplay of critical dynamics and noncritical kinetics

Bhattacharjee¹,

Kaatze²,

Mirzaev³

2010

Rep. Prog. Phys.

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The nature and origin of sound attenuation due to critical fluctuations near the liquid consolute point are discussed. Starting from basic principles, the background of critical phenomena is reviewed and the conceptions of theoretical approaches to describe the critical contributions to the propagation of sound are analysed. Experimental broadband spectra of suitable binary systems are evaluated jointly with results from quasi-elastic light scattering, shear viscosity and heat capacity measurements to verify or disprove theoretical predictions. It is shown that spectra of systems without or with only small-amplitude ultrasonic contribution from noncritical relaxation processes can be represented by theory with the asymptotic high-frequency sonic attenuation coefficient as a simple adjustable parameter. As a result, sonic spectra of more complex systems, exhibiting significant contributions from noncritical ultrasonic relaxations, are discussed assuming the critical part to be known from theory and auxiliary data. This modus operandi allows for a clear extraction of parameters relevant to the noncritical elementary processes in liquid mixtures, such as conformational changes, protolysis and hydrolysis reactions, monomer exchange from micelles and rotational isomerizations of membrane molecules. The influence of the critical dynamics on the noncritical kinetics is disclosed for some topical examples. Adiabatic couplingconstant 25 4. Mixtures featuring noncritical relaxation phenomena 26 4.1. Elementary reactions 26 4.2. Micelle formation 29 4.3. Membrane domain structure fluctuations and axial diffusion 31 5. Conclusions and perspectives 33 Acknowledgments 34 References 34

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Section: Experimental Verification Of Theoretical Modelsmentioning

confidence: 99%

“…Critical mixture ξ 0 (nm) 0 (10 9 s −1 ) n-pentanol-nitromethane [62] 0.15 187 Nitroethane-cyclohexane [64] 0.16 156 Nitroethane-3-methylpentane [63] 0.23 125 Perfluoromethylcyclohexane-carbon 0.23 48 tetrachloride [58] Methanol-n-hexane [59] 0.33 44 Methanol-cyclohexane [60] 0.33 26 Ethanol-n-dodecane [61] 0.37 6.4…”

Section: Relaxation Rate Of Fluctuationsmentioning

confidence: 99%

Sound attenuation near the demixing point of binary liquids: interplay of critical dynamics and noncritical kinetics

Bhattacharjee¹,

Kaatze²,

Mirzaev³

2010

Rep. Prog. Phys.

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“…in figures 1 and 3. In addition to classical relaxation phenomena, addressing fast chemical reactions in solutions [70][71][72][73][74][75][76][77][78][79][80], the critical dynamics of binary and ternary mixtures near the demixing point-highlighting conceptions of universality, scaling and power laws [142,207,[210][211][212][213]-is being investigated by sonic spectrometry. Also of great interest are the frequencydependent thermo-elastic and visco-inertial boundary effects, associated with scattering of ultrasound from the mesoscopic structure of suspensions and dispersions; this is useful for sample characterization in many scientific and industrial applications, especially for particle sizing [4,[214][215][216].…”

Section: Measurement Applicationsmentioning

confidence: 99%

Ultrasonic velocity measurements in liquids with high resolution—techniques, selected applications and perspectives

Kaatze

Eggers

Lautscham

2008

Meas. Sci. Technol.

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This review gives a short introduction into the principles of sound velocity measurements. The fundamentals of acoustical methods using continuous waves, pulse modulated signals and sharp pulses are summarized. Methods employing optical wave interactions with continuous ultrasonic waves are also described briefly. Recent advances in the different methods are presented, and the technical status of the currently preferred techniques is discussed in view of their merits and limitations, too. Particular emphasis is given to the sensitivity and accuracy of the methods. Selected examples of measurement applications indicate the extended usability spectrum in basic research as well as in materials' characterization, manufacturing processes and control routines.

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“…8,11,60 Since it is largely masked by the large critical contributions to the present spectra an assignment of the term to a molecular process is impossible. 8,11,60 Since it is largely masked by the large critical contributions to the present spectra an assignment of the term to a molecular process is impossible.…”

Section: B Scaling Functionmentioning

confidence: 97%

“…[8][9][10][11] It was particulary found that the fluctuation correlation length and the relaxation rate ⌫ of order parameter fluctuations follow power laws, [8][9][10][11] It was particulary found that the fluctuation correlation length and the relaxation rate ⌫ of order parameter fluctuations follow power laws,…”

Section: Introductionmentioning

confidence: 99%

Relaxation rate and scaling function of the critical system 3-methylpentane-nitroethane-cyclohexane

Iwanowski

Mirzaev

Kaatze

2008

The Journal of Chemical Physics

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The critical system 3-methylpentane-nitroethane-cyclohexane (3-MP-NE-CH) has been investigated and compared to the limiting binary systems 3-MP-NE as well as NE-CH in order to study the degree of renormalization in the critical exponents of the ternary system. The solubility curves of the 3-MP-NE-CH system have been determined at various molar ratios of the nonpolar constituents in order to obtain the plait points as a function of mixture composition. At the col point (the mixture with the lowest transition temperature) and two further plait point compositions shear viscosity, dynamic light scattering, and frequency-dependent ultrasonic attenuation coefficient measurements have been performed as a function of temperature near the critical temperatures. The fluctuation correlation length and the relaxation rate of fluctuations display power law behavior as a function of reduced temperature, with universal critical exponents nu = 0.63 and nuZ(0) = 1.928, respectively, as characteristic for binary critical mixtures. In conformity with the 3-MP-NE and NE-CH critical mixtures the scaling function in the ultrasonic spectra nicely agrees with the empirical scaling function of the Bhattacharjee-Ferrell dynamic scaling theory. Hence with respect to power laws and scaling the 3-MP-NE-CH system behaves like a quasibinary mixture. The individual amplitudes of the relaxation rate show a minimum at the col point composition, corresponding with a maximum in the background viscosity of the liquids. The amount of the adiabatic coupling constant g, derived from the amplitudes in the ultrasonic spectra, increases monotonously when going from NE-CH (/g/ = 0.1) to 3-MP-NE (/g/ = 0.26).

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Dynamic scaling and background relaxation in the ultrasonic spectra of the ethanol–dodecane critical mixture

Cited by 9 publications

References 33 publications

Sound attenuation near the demixing point of binary liquids: interplay of critical dynamics and noncritical kinetics

Sound attenuation near the demixing point of binary liquids: interplay of critical dynamics and noncritical kinetics

Ultrasonic velocity measurements in liquids with high resolution—techniques, selected applications and perspectives

Relaxation rate and scaling function of the critical system 3-methylpentane-nitroethane-cyclohexane

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