Analytical Expression in Frequency-Domain Soret Forced Rayleigh Scattering for the Determination of Soret Coefficients in Ternary Liquid Systems

松浦, 弘明; 白樫, 了

doi:10.51094/jxiv.4201

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松浦, 弘明東京大学生産技術研究所 https://researchmap.jp/akimatsuura
白樫, 了東京大学生産技術研究所

DOI:

https://doi.org/10.51094/jxiv.4201

キーワード:

Ternary liquid mixtures、 Grating excitation techniques、 Transport properties、 Soret coefficient、 Thermodiffuison coefficient、 Mass diffusion、 Optical technique、 Soret forced Rayleigh Scattering

抄録

In this study, we extend the principle of frequency-domain Soret forced Rayleigh scattering (SFRS) to ternary mixtures for the determination of ternary Soret coefficients. We derived an analytical expression for the frequency-dependent phase lag in ternary systems, revealing the mathematical relationship between the measured phase lag and the coupled transport coefficients. Similar to time-domain SFRS, theoretical analysis demonstrates that the use of two-wavelength probe lasers enables the simultaneous determination of independent Soret and thermodiffusion coefficients. To validate the proposed theory, pre-liminary experiments were conducted on a ternary benchmark mixture composed of n-dodecane, isobutylbenzene, and 1,2,3,4-tetrahydronaphthalene using an existing single-wavelength probing setup. The measured frequency response was well-described by the derived analytical expression. This work provides a new foundation for characterizing mass transport in complex multicomponent mixtures that have remained challenging to investigate, by virtue of lock-in detection scheme offering minimal system disturbances and high robustness against scattered light.

利益相反に関する開示

The authors declare no competing interests.

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