SEC chromatogram 2026-10-14
A SEC chromatogram plots a detector signal against elapsed time or elution volume. At constant volumetric flow rate , the volume delivered after injection is ; subtraction of extra-column transport volume is needed for a column-only . Real peak widths include injection volume, column dispersion, and tubing/detector spreading. Peak position, width, and area answer different questions.
SEC molar mass calibration measures standards under the same column, solvent, and temperature conditions as the unknown. Over a suitable fractionation interval, a common empirical approximation is
where specifies the molar mass unit and has inverse-volume units. Interpolation is conditional on the standards' size–molar mass relationship. SEC measures access associated with hydrodynamic size, so a branched polymer, an extended chain, and a compact protein need not share that relationship.
Figure 1.
Theoretical SEC chromatogram peaks and a stipulated size-to-molar mass calibration
. Original model, not measured data: , , , and standard-family . Equal-area Gaussian distribution peaks have a chosen width and equal detector response factors. The lower curve includes model exclusion and full-access plateaus; its secondary mass scale applies only to the stipulated standards. Details.
In this model the , , and standards have hydrodynamic radii , , and and elute at , , and . An unknown at would be assigned by this calibration. But a species that expands from to elutes at and is assigned without gaining any mass. The numbers demonstrate ambiguity, rather than predict a real unfolding transition.
Changes in conformational isomerism, protein folding, protein denaturation, and protein aggregation can therefore shift peaks. Association usually increases size; compaction can reduce size at unchanged molar mass. Adsorption creates a different ambiguity: delayed elution need not indicate a smaller species. A different solvent can change both polymer coil dimensions and interactions with the packing. The SEC protein conformation experiment tests these alternatives with additional detectors.
SEC partition coefficient 2026-10-14
For ideal SEC, define the SEC partition coefficient by
Here averages solute concentration over all pore liquid, including inaccessible regions. is column elution volume. Pure steric exclusion gives ; the endpoints mean exclusion and full access.[ref]
A storage argument explains the relation. Assume a dilute stable solute, unchanged packing and solvent, constant volumetric flow rate , rapid local chemical equilibrium between pore liquid and interparticle liquid, negligible binding, and negligible transport through the pores by bulk flow. At interparticle concentration , the column holds an amount of substance . Its exit transports per unit time. The ratio is the mean residence time in this equilibrium transport model; multiplying by gives . For a narrow symmetric SEC chromatogram peak, the peak maximum approximates that mean; a strongly asymmetric peak needs an explicitly stated location convention.
The handbook also uses an operational normalization
This denominator includes solid matrix, so full access gives when . It differs from the pore-liquid SEC partition coefficient. Read each source's volume convention before comparing coefficients.[ref]
For an original numerical example, take , , and . Then and . Elution at gives but . Even a fully included tracer gives , not . These are stipulated volumes, not experimental measurements.