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Modeling self-diffusion coefficients of ionic liquids using ePC-SAFT and FVT combined with Einstein relation
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Energy Science. State Key Laboratory of Materials-Oriented Chemical Engineering, Nanjing Tech University, Nanjing, China.ORCID iD: 0000-0002-5633-4312
State Key Laboratory of Materials-Oriented Chemical Engineering, Nanjing Tech University, Nanjing, China; Suzhou Laboratory, Suzhou, China.ORCID iD: 0000-0001-9244-6808
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Energy Science.ORCID iD: 0000-0002-0200-9960
2024 (English)In: AIChE Journal, ISSN 0001-1541, E-ISSN 1547-5905, Vol. 70, no 8, article id e18468Article in journal (Refereed) Published
Abstract [en]

The electrolyte perturbed-chain statistical associating fluids theory (ePC-SAFT) coupled with free volume theory (FVT) was combined with Einstein relation, that is, ePC-SAFT-FVT-E, to describe self-diffusion coefficients (SDCs) of ionic liquids (ILs). In modeling, ePC-SAFT was used to calculate density, while FVT parameters, determined from viscosity data, were utilized to calculate the summation of ionic SDCs through the Einstein relation with one parameter. Two strategies were employed to determine this parameter: fitting experimental data for each IL or estimating a universal parameter from van der Waals volume. Comparative analysis reveals good agreement with experimental data, with average absolute relative deviations (ARDs) of 8.14% (strategy 1) and 10.29% (strategy 2). Subsequently, cationic and anionic SDCs were reliably determined from the summation of ionic SDCs, with average ARDs of 10.80% and 10.21%, respectively. This study indicates the ePC-SAFT-FVT-E model, employing viscosity-derived parameters and three universal parameters, reliably predicts SDCs of ILs in wide temperature and pressure ranges.

Place, publisher, year, edition, pages
John Wiley & Sons, 2024. Vol. 70, no 8, article id e18468
Keywords [en]
Einstein relation, ePC-SAFT, free volume theory, ionic liquids, self-diffusion coefficient
National Category
Energy Engineering
Research subject
Energy Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-105446DOI: 10.1002/aic.18468ISI: 001214985700001Scopus ID: 2-s2.0-85192226681OAI: oai:DiVA.org:ltu-105446DiVA, id: diva2:1857438
Funder
EU, Horizon Europe, 101070976Swedish Research Council, 2020-03899The Swedish Foundation for International Cooperation in Research and Higher Education (STINT), CH2019-8287
Note

Validerad;2024;Nivå 2;2024-08-01 (signyg);

Funder: National Natural Science Foundation of China (22011530112); State Key Laboratory of Material-Oriented Chemical Engineering in China;

Full text license: CC BY

Available from: 2024-05-13 Created: 2024-05-13 Last updated: 2025-10-21Bibliographically approved
In thesis
1. Modeling Transport Properties of Ionic Liquids based on ePC-SAFT
Open this publication in new window or tab >>Modeling Transport Properties of Ionic Liquids based on ePC-SAFT
2025 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

Ionic liquids (ILs) are promising fluidic materials due to their unique physicochemical properties, driving extensive research for diverse applications. Key properties, including thermodynamic properties (e.g., density and solubility) and transport properties (e.g., viscosity and self-diffusion coefficient (SDC)), play a crucial role in developing IL-based technologies. These properties are typically characterized through experiments and theoretical modeling. However, given the time-consuming and costly nature of experiments, developing accurate theoretical models is essential for optimizing IL-based applications.

Thermodynamic models for various fluids, including ILs, are well-established, with the ion-specific electrolyte perturbed-chain statistical associating fluid theory (ePC-SAFT) effectively modeling the thermodynamic properties of ILs. In contrast, transport property models depend largely on experimental data, leading to separate modeling of viscosity and SDC. For viscosity, ePC-SAFT has coupled with free volume theory (ePC-SAFT-FVT), but inconsistencies arise between ion- and molecular-based frameworks in the two models. Meanwhile, theoretical SDC models are scarce and have yet to be applied to ILs. Traditionally, thermodynamic and transport property models use distinct molecular parameters, though, in principle, these parameters should be independent of specific properties. This suggests the feasibility of a universal approach to determining transport properties based on molecular parameters of thermodynamic models. Additionally, as both viscosity and SDC characterize molecular motion, it remains unclear whether they can be simultaneously modeled for ILs.

This thesis aimed to propose a universal approach to modeling thermodynamic and transport properties of ILs, where a predictive SDC model and an ion-specific ePC-SAFT-FVT for viscosity were developed, and the Einstein relation was employed to explore the simultaneous modeling of viscosity and SDC.

  • In the first part, the SDC model for LJ fluids was extended to chain-like fluids using a correction function, with viscosity calculated via the Stokes-Einstein equation. By fitting SDC and viscosity data for 19 n-alkanes using molecular parameters from ePC-SAFT, a universal parameter set was obtained, achieving AARDs of 8.4% for SDC and 7.2% for viscosity. These parameters were used to predict the SDC and viscosity of long n-alkanes, branched alkanes, and cyclic compounds, with higher deviations for the latter two. The model was then extended to ILs, yielding AARDs of 39.4% for SDC and 30.1% for viscosity, with the performance considered acceptable due to using only three universal parameters.
  • In the second part, an ion-specific ePC-SAFT-FVT model was developed to describe the viscosities of 72 ILs. The ion-based approach achieves an AARD of 8.7%, comparable to the molecular-based approach (AARD = 6.1%), while significantly reducing the number of adjustable parameters from 216 to 81. This enhances flexibility by enabling cation-anion parameter combinations for predictions. The model was extended to 19 IL mixtures, yielding an AARD of 9.1%, outperforming the molecular-based approach (AARD = 12.7%). These results show the ion-specific ePC-SAFT-FVT model effectively represents the viscosity of pure ILs and their mixtures.
  • In the third part, the Einstein relation was combined with the ePC-SAFT-FVT model to describe the SDCs of ILs. Viscosity-derived FVT parameters were used to calculate the sum of ionic SDCs, requiring only one adjustable parameter. This parameter was either fitted for each IL (AARD = 8.1%) or predicted from the van der Waals volume (AARD = 10.3%). The predictive approach was also applied to calculate cationic and anionic SDCs using the total SDC and cationic transference number, yielding AARDs of 10.8% and 10.2%, respectively. These results show that, by utilizing viscosity-derived parameters, the ePC-SAFT-FVT model combined with Einstein relation effectively predicts the SDCs of ILs.
Place, publisher, year, edition, pages
Luleå: Luleå University of Technology, 2025
Series
Licentiate thesis / Luleå University of Technology, ISSN 1402-1757
Keywords
Ionic liquid, thermodynamics, viscosity, self-diffusion coefficient, ePC-SAFT
National Category
Energy Engineering
Research subject
Energy Engineering
Identifiers
urn:nbn:se:ltu:diva-111878 (URN)978-91-8048-779-5 (ISBN)978-91-8048-780-1 (ISBN)
Presentation
2025-04-28, E231, Luleå University of Technology, Luleå, 10:00 (English)
Opponent
Supervisors
Available from: 2025-03-06 Created: 2025-03-06 Last updated: 2025-10-21Bibliographically approved

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