In this study, the adsorption mechanism of manganese ions onto the 5, 10, 15, 20-Tetrakis(4-tolylphenyl) porphyrin molecule (H₂TTPP) was studied and interpreted. Through the spin coating method, a thin film of H₂TTPP was deposited and so the adsorption isotherms of Mn²⁺ ions on a thin H₂TTPP layer were measured using quartz crystal microbalance technique (QCM). These isotherms were modeled using the statistical physics approach. The mechanism of the adsorption was elucidated by essentially three physicochemical parameters such as: the quantity of attached ion to each receptor site, the number of accessible receptor sites, and the concentration at half saturations. The simulation results provide that H₂TTPP is linked to more than one manganese ion, with an adsorption energy of less than 40kJ/mol  which implies a physical adsorption process. The statistical model is useful to characterize the adsorbent-adsorbate system. Hence, three thermodynamic functions are calculated and interpreted. Then, distributions of the pore size (PSD) and the adsorption energy (AED) were also deduced.

adsorption isotherms, statistical physics, porphyrin, pore size distribution, adsorption energy distribution.

Received: October 6, 2024; Revised: October 22, 2024; Accepted: November 18, 2024; Published: December 10, 2024

How to cite this article: Meshari Alanazi, Salah Knani, Nizar Lefi, Wassim Zahrouni and Bilel Elmotri, Statistical physical modeling to unveil the adsorption mechanism of manganese        ion on modified surface of porphyrin, JP Journal of Biostatistics 25(1) (2025), 95-126. https://doi.org/10.17654/0973514325005

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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