Monte Carlo Simulation To Determine The Average Energy Of The Electrolytes Lithium Hexafluorophosphate, Ethylene Carbonate, and Vinylene Carbonate
DOI:
https://doi.org/10.25077/jif.18.2.184-198.2026Keywords:
Average energy, Ethylene Carbonate, Lithium Hexafluorophosphate, Monte Carlo simulation, Vinylene CarbonateAbstract
This study aims to determine the average energy at thermodynamic equilibrium of lithium hexafluorophosphate, ethylene carbonate, and vinylene carbonate using Monte Carlo (MC) simulation. The first simulation involved 200 particles, a box size of 60 Å, and 10,000 steps. Increasing the box size reduced the average energy to 5240.59 kJ/mol, indicating that the system remained at a local minimum. The second simulation used 400 particles, with 100 particles of each component, a box size of 200 Å, and 10,000 steps. The average energy decreased to 0.25 kJ/mol, and the system remained at a local minimum. The positive energy indicated repulsive interactions, causing atoms or molecules to move apart. The third simulation used 400 particles, a box size of 200 Å, and 100,000 steps, producing an average energy of - 0.53 kJ/mol. The negative energy indicated attractive London forces, resulting in a stable structure and suggesting that the system reached a global minimum and thermodynamic equilibrium. Cumulative average and standard deviation analyses confirmed convergence, particularly for the 100,000-step simulation, validating the average energy result.
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Anniés, S., Panosetti, C., Voronenko, M., Mauth, D., Rahe, C., & Scheurer, C. (2021). Accessing structural, electronic, transport and mesoscale properties of li-GICs via a complete DFTB model with machine-learned repulsion potential. Materials, 14(21), 6633.
Barbers, E., Hust, F. E., Hildenbrand, F. E. A., Frie, F., Quade, K. L., Bihn, S., Sauer, D. U., & Dechent, P. (2024). Exploring the effects of cell-to-cell variability on battery aging through stochastic simulation techniques. Journal of Energy Storage, 84, 110851.
Callegari, D., Conte, G., Claudio, I., Lorenzi, R., Simari, C., Bonis, M. De, Leonardi, S., Jusys, Z., Julio, C., Bresser, D., Mustarelli, P., & Ruffo, R. (2025). Electrochimica Acta Use of DMSO as a co-solvent for aqueous lithium-ion batteries. 537(June). https://doi.org/10.1016/j.electacta.2025.146903
Chliyah, S., Rabii, S., Lahmidi, A., Chtita, S., El Kouali, M., & Errougui, A. (2026). Temperature influence on the solvation, transport, and dielectric properties of the {NaPF₆–dimethyl sulfoxide} electrolyte system used in sodium-ion battery technology: A molecular dynamics approach and DFT study. Chemical Thermodynamics and Thermal Analysis, 100271.
Galvez-Aranda, D. E., Ponce, V., & Seminario, J. M. (2017). Molecular dynamics simulations of the first charge of a Li-ion—Si-anode nanobattery. Journal of Molecular Modeling, 23(4), 120.
Gao, T., & Lu, W. (2019). Mechanism and effect of thermal degradation on electrolyte ionic diffusivity in Li-ion batteries: A molecular dynamics study. Electrochimica Acta, 323, 134791.
Gavilán-Arriazu, E. M., Mercer, M. P., Barraco, D. E., Hoster, H. E., & Leiva, E. P. M. (2021). Kinetic Monte Carlo simulations applied to Li-ion and post Li-ion batteries: a key link in the multi-scale chain. Progress in Energy, 3(4), 042001.
Greiner, W., Neise, L., & Stöcker, H. (2012). Thermodynamics and statistical mechanics. Springer Science & Business Media.
Hanson, R. M., & Green, S. M. E. (2008). Introduction to molecular thermodynamics. University Science Books.
Ivan T Dimov. (2008). Monte Carlo Methods for Applied Scientist (W. Scientific, Ed.). World Scientific Publishing.
Jorn, R., Kumar, R., Abraham, D. P., & Voth, G. A. (2013). Atomistic modeling of the electrode–electrolyte interface in Li-ion energy storage systems: electrolyte structuring. The Journal of Physical Chemistry C, 117(8), 3747–3761.
Lahmidi, A., Rabii, S., Chliyah, S., Chtita, S., Kouali, M. El, & Errougui, A. (2025). Molecular simulations and FTIR spectroscopic studies on the hydration , dynamics , and dielectric properties of the aqueous potassium carbonate system at various temperatures from 278 . 15 K to 373 . 15 K. Chemical Thermodynamics and Thermal Analysis, 19, 100195.
Mynam, M., Kumari, S., Ravikumar, B., & Rai, B. (2021). Effect of temperature on concentrated electrolytes for advanced lithium ion batteries. The Journal of Chemical Physics, 154(21).
Ntioudis, S., Ewen, J. P., Dini, D., & Turner, C. H. (2023). A hybrid off-lattice kinetic Monte Carlo/molecular dynamics method for amorphous thin film growth. Computational Materials Science, 229, 112421.
Perez-Beltran, S., Kuai, D., & Balbuena, P. B. (2024). SEI formation and lithium-ion electrodeposition dynamics in lithium metal batteries via first-principles kinetic Monte Carlo modeling. ACS Energy Letters, 9(11), 5268.
Spotte-Smith, E. W. C., Kam, R. L., Barter, D., Xie, X., Hou, T., Dwaraknath, S., Blau, S. M., & Persson, K. A. (2022). Toward a mechanistic model of solid–electrolyte interphase formation and evolution in lithium-ion batteries. ACS Energy Letters, 7(4), 1446–1453.
Tian, J., Hu, T., Xu, S., & Wen, R. (2023). Molecular dynamics simulations of the Li-ion diffusion in the amorphous solid electrolyte interphase. Chinese Chemical Letters, 34(11), 108242.
Turgeman, M., Wineman-Fisher, V., Malchik, F., Saha, A., Bergman, G., Gavriel, B., Penki, T. R., Nimkar, A., Baranauskaite, V., & Aviv, H. (2022). A cost-effective water-in-salt electrolyte enables highly stable operation of a 2.15-V aqueous lithium-ion battery. Cell Reports Physical Science, 3(1).
Wagner-Henke, J., Kuai, D., Balbuena, P. B., & Krewer, U. (2025). Understanding the effect of vinylene carbonate on SEI formation, morphology and stability on lithium metal anodes. Energy Storage Materials, 81, 104434.
Xu, G., Jiang, M., Li, J., Xuan, X., Li, J., Lu, T., & Pan, L. (2024). Machine learning-accelerated discovery and design of electrode materials and electrolytes for lithium ion batteries. Energy Storage Materials, 72, 103710.
Yu, H., Zhang, L., Wang, W., Yang, K., Zhang, Z., Liang, X., Chen, S., Yang, S., Li, J., & Liu, X. (2023). Lithium-ion battery multi-scale modeling coupled with simplified electrochemical model and kinetic Monte Carlo model. IScience, 26(9).
Zelič, K., Esmaeilpour, M., Jana, S., Mele, I., Wenzel, W., & Katrašnik, T. (2025). Physicochemically-informed continuum level model of a solid electrolyte interphase growth in Li-ion batteries. Journal of Power Sources, 627, 235814.
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