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ADSORPTION AND SPREAD MONOLAYERS

Area of surface42  $ A$,$ A_s$,$ S$
Specific surface area (= surface area per unit mass)43  $ a$,$ a_s$,$ s$
Thickness of surface layer  $ {\tau}$
Superscript, indicating quantities referring to the surface layer or interfacial layer  $ s$
Volume of interfacial layer  $ V^s$
Subscript, indicating quantities relating to monolayer capacity  $ m$
Surface coverage (= amount of adsorbed substance divided by monolayer capacity)  $ {\theta}$
Area per molecule in complete monolayer of substance $ i$  $ a_m(i)$
Superscript, indicating excess quantities referring to the Gibbs surface  $ {\sigma }$
Surface excess amount, Gibbs adsorption of component $ i$ ( $ = n_i-V^{\alpha}c_{i}^{\alpha} - V^{\beta}c_{i}^{\beta}$)   $ n_{i}^{\sigma}$
Total surface excess amount (of adsorbed substance) $ \left(= \Sigma_i n_i^{\sigma}\right)$   $ n^{\sigma}$
Gibbs surface concentration, surface excess concentration $ \left( = n_i^{\sigma}/A-s\right)$   $ {\Gamma}_i^{\sigma}$
Total Gibbs surface concentration, total surface excess concentration $ \left(=\Sigma_i {\Gamma}_i^{\sigma}\right)$   $ {\Gamma}^{\sigma}$
Surface excess number of molecules (of component $ i$)   $ N_i^{\sigma}$
Surface excess mass (of component $ i$)   $ m_i^{\sigma}$
Relative adsorption of component $ i$ with respect to component 1

$\displaystyle \left[={\Gamma}_i^{\sigma}-{\Gamma}_1^{\sigma}\left(\frac{c_i^{\alpha}-c_i^{\beta}}{c_1^{\alpha}-c_1^{\beta}}\right)\right]$

  $ {\Gamma}_i^{(1)}$, $ {\Gamma}_{i,1}$
Reduced adsorption (of component $ i$)

$\displaystyle \left[={\Gamma}_i^{\sigma}-{\Gamma}^{\sigma}\left(\frac{c_i^{\alpha}-c_i^{\beta}}{c^{\alpha}-c^{\beta}}\right)\right]$

  $ {\Gamma}_i^{(n)}$
Total concentration in phase $ {\alpha}$ $ \left( = \Sigma_i c_i^{\alpha}\right)$   $ c^{\alpha}$
Area per molecule in surface$ ^{37,38}$  $ a_i$,$ a_{i,s}$
Co-area per molecule in surface$ ^{37}$  $ a_i^0$,$ a_{i,s}^0$
Gibbs surface concentration (for solid/liquid systems) of component $ i$, relative to a reference system with the same number of moles (reduced adsorption)   $ {\Gamma}_i^{(n)}$
( $ =A_s^{-1}\left[n_i-n^lx_i^l\right]$)   
Relative adsorption (for solid/liquid systems)   $ {\Gamma}_i^{(1)}$
( $ =A_s^{-1}\left[n_i-n^lx_i^l/x_1^l\right]={\Gamma}_i^{(n)}/x_1^l$ for binary system)   
Gibbs surface concentration (for solid/liquid systems) of component $ i$, relative to a reference system with the same volume of liquid ( $ =A_s^{-1}\left[n_i-c_i^lV^l\right]$)   $ {\Gamma}_i^{(v)}$
Surface excess volume of gas calculated for 273.15 K and 101.325 kPa (0 and 1 atm)   $ V_i^{\sigma}$
Amount of adsorbed component $ i$ (= amount of component $ i$ in the interfacial layer)  $ n_i^s$
Total amount of adsorbed substance $ \left( = \Sigma_i n_i^s\right)$  $ n^s$
Monolayer capacity expressed as amount of substance  $ n_m^s$
Monolayer capacity expressed in volume of gas calculated for 273.15 K and 101.325 kPa  $ V_m$


next up previous contents
Next: MECHANICAL AND THERMODYNAMIC PROPERTIES Up: LIST OF SYMBOLS AND Previous: LIST OF SYMBOLS AND   Contents
2002-09-05