Adsorption Created 2026-10-14 Updated 2026-10-18
Adsorption is accumulation of a substance at an interface. Binding a solute to a packing surface can delay its passage through a chromatography column. Ideal size-exclusion chromatography separates through SEC pore access without such binding; extra retention from adsorption requires a different interpretation.
For a gas contacting a solid, adsorption concentrates molecules at the boundary; absorption takes material into the bulk. A porous solid can have a large internal surface area: binding on pore walls is still adsorption, even though those walls lie inside the particle. Both processes can occur together. Desorption returns adsorbed material to the surrounding phase. The useful question is therefore not just how much material disappeared from the gas, but where it went and whether it returns when the pressure falls.
An adsorption site model turns this spatial distinction into counting. With twelve identical adsorption sites and three bound molecules, the surface coverage is . Filling six gives ; filling twelve gives a complete monolayer. These are configurations illustrating the count, rather than measured arrangements or claims that all real surfaces have twelve sites.
Figure 1.
Adsorption sites: count occupied positions to obtain surface coverage
. Original schematic with , , and occupied positions out of adsorption sites. Each position holds at most one intact molecule in the Langmuir adsorption model. The lower sketch distinguishes interfacial adsorption from bulk absorption; positions are schematic, not a crystal structure or microscopy image. Details.
For a dilute solute distributed between two liquid regions at local chemical equilibrium, define the chromatographic partition coefficient as
Here are concentrations expressed in the same units, specify accessible volume in the chromatographic mobile phase and immobilized liquid chromatographic stationary phase, respectively, is total solute amount of substance, and is the fraction of that amount of substance in the chromatographic mobile phase. Assume a constant chromatographic partition coefficient, rapid exchange, unchanged phases and temperature, and no chemical reaction. A chemical equilibrium population still exchanges molecules; it is not permanently divided into two sets.
The amount of substance balance proves the expression for . Increasing either or reduces the mobile fraction, illustrating why a concentration ratio alone cannot determine retention. For surface adsorption, specify an adsorption storage law instead of assigning an arbitrary liquid volume to the solid.
An original discrete model makes the separation visible. In each identical cell, first establish local chemical equilibrium, then advance only the mobile fraction by one cell; let the stationary fraction wait. Repeat twelve times, without any additional spreading. With , stipulated chromatographic partition coefficients and give and . Each cycle contributes mean displacement cells, so the mean positions after twelve cycles are nine cells and three cells. Redistribution itself broadens each band: the cell positions have a binomial distribution with parameters . These dimensionless chosen values illustrate transport, not measurements of any particular substances.
Figure 1.
Reversible phase exchange turns different storage fractions into separated bands
. Original local chemical equilibrium model: the same accessible volume in each phase, constant chromatographic partition coefficients, and twelve discrete transport cycles. Both bands start at cell zero. The plotted fractions sum to one for each component; dashed lines mark mean positions. This is a partition model, not a depiction of SEC pore access or an actual column measurement. Details.
Chromatographic stationary phase Created 2026-10-14 Updated 2026-10-18
The chromatographic stationary phase remains in place during separation. A porous packing in size-exclusion chromatography supplies internal liquid regions with size-dependent accessibility; ideal separation requires no adsorption of the solute to the packing.
A chromatographic stationary phase may instead expose a solid surface for adsorption, or retain an immobilized liquid into which solutes partition. In ordinary silica gel thin-layer chromatography, interactions with the surface delay migration. This mechanism differs from ideal SEC pore access.
Hydrodynamic size 2026-10-14
Hydrodynamic size describes the effective dimensions of a dissolved molecule moving with its surrounding solvent. It depends on molecular geometry, internal shape, and solvent conditions, rather than just molar mass. SEC pore access probes size-dependent accessibility of the packing.
SEC fractionation range 2026-10-14
The SEC fractionation range has differential SEC pore access. Larger excluded species share ; fully included species share . Neither group can be size-ranked by elution. A broader pore distribution can trade separation per size increment for range.[ref]
SEC pore access Created 2026-10-14 Updated 2026-10-20
In ideal SEC pore access, geometric exclusion changes the fraction of pore liquid a solute can occupy. Diffusion permits entry into and exit from accessible pores; the through-flow chiefly transports the sample between packing particles. A hydrodynamic radius is a useful size descriptor, but actual pore entry also depends on shape and pore geometry. A flexible polymer coil is not a rigid ball with a perfectly sharp entry diameter.
Figure 1.
SEC pore access: excluded species leave before species that explore pore liquid
. Original schematic of a porous packing and representative excursions. Colored routes distinguish exclusion, partial access, and extensive access; they are not measured trajectories or a calculation of travel times. The circles represent effective hydrodynamic sizes, not actual molecular geometry. There is no adsorption in this illustration. Details.
The extra delay is best understood as extra accessible storage, rather than a prescribed longer streamline. Pore visits are reversible and random. An entirely excluded species samples the SEC void volume; a sufficiently small nonbinding species samples the SEC total accessible liquid volume. Intermediate species lie between these limits. Larger hydrodynamic size generally means earlier elution within the column's SEC fractionation range.