© A.W.Marczewski 2002

A Practical Guide to Isotherms of ADSORPTION on Heterogeneous Surfaces

Reload Adsorption Guide

Adsorption isotherms - eq. list

• Langmuir (L) (text):
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• Langmuir isotherm + lateral interactions: FG and Kiselev eqns. (text):
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• Langmuir (L) - local isotherm (text1 and text2):
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• General Integral Equation of Adsorption on heterogeneous solids (text and text):
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• Energy distribution, energy dispersion, average adsorption energy (text):
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• Generalized Langmuir (GL) etc. (L, LF, GF, Tóth) isotherms (text1, text2):
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• Sq (continuous distr.) aka UNILAN and Tiemkin isotherms (text):
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• Radke-Prauznitz (RP), Jossens isotherms (text):
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• GL isotherm + BET multilayer (text):
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• GL isotherm + lateral interactions: GL+FG and GL+Kiselev eqns. (text):
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• Jovanovic, Jovanovic-Freundlich (JF/Jov-m) isotherms (text):
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• Volmer and Hill-deBoer isotherms (mobile adsorbate) (text):
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• Mutlilayer: BET, n-layer BET, Hüttig, Sircar, LGD etc. isotherms (text):
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• Adsorption in binary liquids: Everett isotherm (text):
  • Everett isotherm:
  • Everett linear plot:
• Isotherms for microporous solids (DA, DR, F, Stoeckli) (text):
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• Adsorption in mesopores (Kelvin eq.: general and for cyl/spherical/slit-shaped mesopores) (text):
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• Adsorbed layer (liquid film): Harkins-Jura (HJ), Frenkel-Halsey-Hill (FHH, aka. Halsey), BJH scheme (text):
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• Micropores and Mesopores (t-plot,t/F-plot, α_s-method):
  • t-plot
  • t/F-plot
  • α_s
• φ-function-method (text):
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• Global heterogeneity H (text):
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• Adsorption kinetics (text):
  • FOE/PFOE (1st order, pseudo-2nd order)(text):
    , ,
    ,
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  • SOE/PSOE (2nd order, pseudo-2nd order)(text):
    ,
    where
    ,
  • Multi-exponential (m-exp) (text):
    
    m-exp rate:
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  • Mixed 1,2-order (MOE)(text):
    
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  • Langmuir rate equation (text):
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    Solute uptake in batch experiment:
    Adsorption progress (fractional attainment of equilibrium):
    Langmuir batch equilibrium factor:
    Langmuir isotherm: , where
    Integrated Kinetic Langmuir equation (IKL):
    ,
    ,

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