New Sorption Isotherms Derived from a Gamma Distribution of Binding Constants

• Main Authors: Debord J., Harel M., Bollinger J.-C., Koopal L., Salvestrini S., Chu K.H.
• Other Authors: 7005677021
• Format: Article
• Published: American Chemical Society 2025
• Subjects: Adsorption isotherms; Probability distributions; Sorption; sorbent; Binding constant; Cooperativity; Energy distributions; Exponential integrals; Freundlich; Gamma distribution; Hills' equations; Langmuir equation; Sorption isotherms; Stieltjes transform; article; association constant; controlled study; hypobaric pressure; isotherm; Binding energy

New sorption isotherms for heterogeneous sorbents are derived by combining a Gamma distribution of binding constants with a local isotherm defined by a Langmuir or Hill equation. The new ?Gamma isotherms? are expressed as Stieltjes transforms of the distribution and involve generalized exponential i...