Modeling Tracer Diffusion Coefficients of Any Type of Solutes in Polar and Non-Polar Dense Solvents

In this work, a simple two-parameters correlation based on the Rice and Gray, Lennard-Jones, and Stockmayer theories was devised for the calculation of binary diffusion coefficients (<inline-formula><math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><...

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Main Authors: Bruno Zêzere, Inês Portugal, José R. B. Gomes, Carlos M. Silva
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Materials
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Online Access:https://www.mdpi.com/1996-1944/15/18/6416
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author Bruno Zêzere
Inês Portugal
José R. B. Gomes
Carlos M. Silva
author_facet Bruno Zêzere
Inês Portugal
José R. B. Gomes
Carlos M. Silva
author_sort Bruno Zêzere
collection DOAJ
description In this work, a simple two-parameters correlation based on the Rice and Gray, Lennard-Jones, and Stockmayer theories was devised for the calculation of binary diffusion coefficients (<inline-formula><math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>D</mi><mrow><mn>12</mn></mrow></msub></mrow></semantics></math></inline-formula>) of any type of solutes at infinite dilution in polar and non-polar solvents. This equation can be relevant for systems with polar solvents, since most models in the literature fail when strong intermolecular forces predominate in solution. The new correlation embodies the Stockmayer potential without requiring the dipole moments of any component, which significantly enlarges its application. It was validated with the largest <inline-formula><math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>D</mi><mrow><mn>12</mn></mrow></msub></mrow></semantics></math></inline-formula> database of polar and non-polar dense systems, with 8812 data points (NDP) spanning 553 systems, of which 133 have water as solvent (NDP = 1266), 89 contain polar solvents excluding water (NDP = 1405), 177 have supercritical carbon dioxide (SC-CO<sub>2</sub>) as solvent (NDP = 5028), and 154 have non-polar or weakly polar solvents excluding SC-CO<sub>2</sub> (NDP = 1113). Overall, the model achieved an average deviation of only 3.43%, with accurate and unbiased behavior even for polar systems.
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spelling doaj.art-939282ba2bd0423b8c1cc667a1d58c1c2023-11-23T17:33:10ZengMDPI AGMaterials1996-19442022-09-011518641610.3390/ma15186416Modeling Tracer Diffusion Coefficients of Any Type of Solutes in Polar and Non-Polar Dense SolventsBruno Zêzere0Inês Portugal1José R. B. Gomes2Carlos M. Silva3CICECO–Aveiro Institute of Materials, Department of Chemistry, University of Aveiro, 3810-193 Aveiro, PortugalCICECO–Aveiro Institute of Materials, Department of Chemistry, University of Aveiro, 3810-193 Aveiro, PortugalCICECO–Aveiro Institute of Materials, Department of Chemistry, University of Aveiro, 3810-193 Aveiro, PortugalCICECO–Aveiro Institute of Materials, Department of Chemistry, University of Aveiro, 3810-193 Aveiro, PortugalIn this work, a simple two-parameters correlation based on the Rice and Gray, Lennard-Jones, and Stockmayer theories was devised for the calculation of binary diffusion coefficients (<inline-formula><math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>D</mi><mrow><mn>12</mn></mrow></msub></mrow></semantics></math></inline-formula>) of any type of solutes at infinite dilution in polar and non-polar solvents. This equation can be relevant for systems with polar solvents, since most models in the literature fail when strong intermolecular forces predominate in solution. The new correlation embodies the Stockmayer potential without requiring the dipole moments of any component, which significantly enlarges its application. It was validated with the largest <inline-formula><math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>D</mi><mrow><mn>12</mn></mrow></msub></mrow></semantics></math></inline-formula> database of polar and non-polar dense systems, with 8812 data points (NDP) spanning 553 systems, of which 133 have water as solvent (NDP = 1266), 89 contain polar solvents excluding water (NDP = 1405), 177 have supercritical carbon dioxide (SC-CO<sub>2</sub>) as solvent (NDP = 5028), and 154 have non-polar or weakly polar solvents excluding SC-CO<sub>2</sub> (NDP = 1113). Overall, the model achieved an average deviation of only 3.43%, with accurate and unbiased behavior even for polar systems.https://www.mdpi.com/1996-1944/15/18/6416modelingnon-polar solventspolar solventsRice and Graysupercritical carbon dioxidetracer diffusion coefficients
spellingShingle Bruno Zêzere
Inês Portugal
José R. B. Gomes
Carlos M. Silva
Modeling Tracer Diffusion Coefficients of Any Type of Solutes in Polar and Non-Polar Dense Solvents
Materials
modeling
non-polar solvents
polar solvents
Rice and Gray
supercritical carbon dioxide
tracer diffusion coefficients
title Modeling Tracer Diffusion Coefficients of Any Type of Solutes in Polar and Non-Polar Dense Solvents
title_full Modeling Tracer Diffusion Coefficients of Any Type of Solutes in Polar and Non-Polar Dense Solvents
title_fullStr Modeling Tracer Diffusion Coefficients of Any Type of Solutes in Polar and Non-Polar Dense Solvents
title_full_unstemmed Modeling Tracer Diffusion Coefficients of Any Type of Solutes in Polar and Non-Polar Dense Solvents
title_short Modeling Tracer Diffusion Coefficients of Any Type of Solutes in Polar and Non-Polar Dense Solvents
title_sort modeling tracer diffusion coefficients of any type of solutes in polar and non polar dense solvents
topic modeling
non-polar solvents
polar solvents
Rice and Gray
supercritical carbon dioxide
tracer diffusion coefficients
url https://www.mdpi.com/1996-1944/15/18/6416
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