AWM's Adsorption page - phi function - model pictures

© A.W.Marczewski 2002

A Practical Guide to Isotherms of ADSORPTION on Heterogeneous Surfaces

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Linear φ-function plots: model pictures.

Linear φ-function isotherm plots:
L,LF plot / RP-plot / Jossens / Jovanovic / φ - log(a) / DR φ - log(c) / DR φ² - log(a)

Linear φ-function - Langmuir and Langmuir-Freundlich isotherm plot.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF) aka. Sips, Toth, 2 different GL (m ≠ n ≠ 1), Fowler-Guggenheim (FG) ad Kiselev (Kis) isotherms.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, and Toth compared with Jovanovic (with heterogeneity: Jovanovic-Freundlich, JF/Jov-m) and experimental Radke-Prausnitz aka. Redlich-Peterson (RP) and Jossens equations.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, and Toth compared with Freundlich (F), Dubinin-Radushkevich (DR) and Dubinin-Astakhov (DA) (here n=3) equations.
Linear φ-function Radke-Prausnitz isotherm plot
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, Toth, 2 different GL (m ≠ n ≠ 1), Fowler-Guggenheim (FG) ad Kiselev (Kis) isotherms.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, and Toth compared with Jovanovic (with heterogeneity: Jovanovic-Freundlich, JF/Jov-m) and experimental Radke-Prausnitz (RP) and Jossens equations.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, and Toth compared with Freundlich (F), Dubinin-Radushkevich (DR) and Dubinin-Astakhov (DA) (here n=3) equations.
Linear φ-function Jossens isotherm plot.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, Toth, 2 different GL (m ≠ n ≠ 1), Fowler-Guggenheim (FG) ad Kiselev (Kis) isotherms.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, and Toth compared with Jovanovic (with heterogeneity: Jovanovic-Freundlich, JF/Jov-m) and experimental Radke-Prausnitz (RP) and Jossens equations.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, and Toth compared with Freundlich (F), Dubinin-Radushkevich (DR) and Dubinin-Astakhov (DA) (here n=3) equations.
Linear experimental φ vs. ln a - plot (approx. GL for a→a_m or DR,DA for moderate adsorptions).
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, Toth, 2 different GL (m ≠ n ≠ 1), Fowler-Guggenheim (FG) ad Kiselev (Kis) isotherms.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, and Toth compared with Jovanovic (with heterogeneity: Jovanovic-Freundlich, JF/Jov-m) and experimental Radke-Prausnitz (RP) and Jossens equations.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, and Toth compared with Freundlich (F), Dubinin-Radushkevich (DR) and Dubinin-Astakhov (DA) (here n=3) equations.
Linear φ-function Jovanovic isotherm plot.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, Toth, 2 different GL (m ≠ n ≠ 1), Fowler-Guggenheim (FG) ad Kiselev (Kis) isotherms.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, and Toth compared with Jovanovic (with heterogeneity: Jovanovic-Freundlich, JF/Jov-m) and experimental Radke-Prausnitz (RP) and Jossens equations.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, and Toth compared with Freundlich (F), Dubinin-Radushkevich (DR) and Dubinin-Astakhov (DA) (here n=3) equations.
Linear φ-function log(c) DR isotherm plot.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, Toth, 2 different GL (m ≠ n ≠ 1), Fowler-Guggenheim (FG) ad Kiselev (Kis) isotherms.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, and Toth compared with Jovanovic (with heterogeneity: Jovanovic-Freundlich, JF/Jov-m) and experimental Radke-Prausnitz (RP) and Jossens equations.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, and Toth compared with Freundlich (F), Dubinin-Radushkevich (DR) and Dubinin-Astakhov (DA) (here n=3) equations.
Linear φ-function log(a) DR isotherm plot.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, Toth, 2 different GL (m ≠ n ≠ 1), Fowler-Guggenheim (FG) ad Kiselev (Kis) isotherms.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, and Toth compared with Jovanovic (with heterogeneity: Jovanovic-Freundlich, JF/Jov-m) and experimental Radke-Prausnitz (RP) and Jossens equations.
- Langmuir (L), Langmuir-Freundlich (LF), Generalized Freundlich (GF)/Sips, and Toth compared with Freundlich (F), Dubinin-Radushkevich (DR) and Dubinin-Astakhov (DA) (here n=3) equations.

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