Isotherms
The term isotherm has changed its meaning somewhat over the years. The ‘classical adsorption isotherm’ was the original name given to a graph relating the volume of gas adsorbed on an adsorbent surface to the partial pressure of the gas in contact with it at a constant temperature. The variables used in the adsorption isotherm have changed and, with the introduction of chromatography, has been used to describe relationships involving adsorption from liquid-solid systems as well as gas-solid systems. In chromatography, the adsorption isotherm usually refers to the graph relating the mass of solute adsorbed on the surface against the concentration of the solute in the fluid in contact with the surface. The two most common adsorption isotherms met in chromatography are the Langmuir adsorption isotherm and the Freundlich adsorption isotherm.
Author: RPW Scott
Book:The Mechanism of Chromatographic Retention
Section:Retention Surface-Adsorption Mono-layer
hydrocarbons, aromatic hydrocarbons and weakly polar
solvents such as the alkyl ethers all appeared to give isotherms of the type
shown in figure 18.
The same
process of solvent adsorption occurs with reverse phases only dispersive
substance are held strongly on the surface as opposed to polar materials on
silica gel. The adsorption isotherms are Langmuir in form and a monolayer
coating of the solvent is deposited on the hydrocarbon chains bonded to the
surface. The adsorption isotherms of acetic and propionic acid are shown in
figure 19. It is seen that the acids exhibit the same type of curve as
chloroform on silica gel. It is also apparent that when the solvent mixture
contains about 10 %w/v of acid the reverse phase is covered with carboxyl
groups from the adsorbed acid.
Figure 19.
Adsorption Isotherms of Acetic and Propionic Acid on a Reveres Phase
Retention Surface-Adsorption Mono-layer
Author: RPW Scott
Book:Liquid Chromatography
Section:HPLC HPLC-Mobile-Phases Reversed-Phase-Surface
, the magnitude of solute retention.
The curves
shown in figure 44 only cover a range of 0 to 0.05 g.ml-1. In order
to show the shapes of the adsorption isotherms for the higher alcohols in
proportion to those of the lower alcohols with reasonable clarity, the same
curves are shown in figure 45 for an alcohol concentration range of 0-100%
(which is approximately 0-0.8g/ml).
It should be noted that the mass adsorbed is expressed
as g.cm-2
Figure 44.
The Adsorption Isotherms of a Homologous Series of Aliphatic Alcohols over the Concentration
Range of 0 to 0.0.5 g.ml-1
HPLC HPLC-Mobile-Phases Reversed-Phase-Surface
Author: RPW Scott
Book:Liquid Chromatography
Section:HPLC HPLC-Mobile-Phases Silica-Gel-Surface
The adsorption
isotherms of the more polar solvents, ethyl acetate, isopropanol and
tetrahydrofuran from n-heptane solutions on to the silica gel surface
did not fit the simple mono-layer adsorption equation but did fit the
bi-layer adsorption isotherm which is a simple extension of the monolayer
formation process. The bi-layer adsorption isotherm for ethyl acetate on silica
gel is shown in figure 41. The curve is theoretical and the points
experimental.
The individual
isotherms for the two
HPLC HPLC-Mobile-Phases Silica-Gel-Surface
Author: RPW Scott
Book:Liquid Chromatography
Section:HPLC HPLC-Mobile-Phases Reversed-Phase-Surface
the surface of the reverse phase is being modified over one
third of the methanol concentration range. The reverse phase surface can be
modified in a controlled manner, over the range of 0 to about 40 % methanol,
but between methanol concentrations of 40% and 100 % the nature of the reverse
phase surface remains sensibly constant and it is the solute interactions in
the mobile phase that are progressively modified. Acetonitrile and
tetrahydrofuran behave in a similar manner but there adsorption isotherms are
closer in magnitude to those of ethanol than of methanol.
The types of
interactions that can take place between the solute and the reverse phase are
similar to those that can take place between the solute and the silica gel
surface. Solutes can interact by the sorption process, the displacement process
or a combination of both. The same rules apply; if the solvent interacts more
strongly with the surface than the solute then the solute interacts with the
adsorbed layer of
HPLC HPLC-Mobile-Phases Reversed-Phase-Surface
Author: RPW Scott
Book:Liquid Chromatography
Section:HPLC HPLC-Mobile-Phases Silica-Gel-Surface
stationary phase may well be presented with two, quite different types of
surface with which to interact. The probability that a solute molecule will
interact with one particular type of surface will be statistically controlled
by the proportion of the total surface area that is covered by that particular
solvent.
Dispersive
solvents appear to be adsorbed from a solvent mixture on the surface of silica
gel according to the Langmuir adsorption isotherm (33). Examples of mono-layer
adsorption isotherms obtained for benzene, chloroform and butyl chloride are
shown in figure 40.
Figure 40.
Langmuir Adsorption Isotherms for Benzene, Butyl Chloride and Chloroform
HPLC HPLC-Mobile-Phases Silica-Gel-Surface
Author: RPW Scott
Book:The Mechanism of Chromatographic Retention
Section:Retention Surface-Adsorption Bi-layer
Figure 21.
Individual and Combined Adsorption Isotherms for Ethyl Acetate on Silica Gel
The individual
isotherms for the two adsorbed layers of ethyl acetate are included in figure
(21). The two curves are of the same form but quite different in magnitude. The
first layer is complete when the concentration of ethyl acetate in the mobile phase is only about 1%w/w. As the
concentration of ethyl acetate rises above 1%w/w the second layer is only just
started forming. The second layer of ethyl acetate forms much slower and
obviously the
Retention Surface-Adsorption Bi-layer