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A method for measuring the pair interaction potential between colloidalparticles by extrapolation measurement of collective structure to infinitedilution is presented and explored using simulation and experiment. The methodis particularly well suited to systems in which the colloid is fluorescent andrefractive index matched with the solvent. The method involves characterizingthe potential of mean force between colloidal particles in suspension bymeasurement of the radial distribution function using 3D direct visualization.The potentials of mean force are extrapolated to infinite dilution to yield anestimate of the pair interaction potential, $U(r)$. We use Monte Carlo (MC)simulation to test and establish our methodology as well as to explore theeffects of polydispersity on the accuracy. We use poly-12-hydroxystearicacid-stabilized poly(methyl methacrylate) (PHSA-PMMA) particles dispersed inthe solvent dioctyl phthalate (DOP) to test the method and assess its accuracyfor three different repulsive systems for which the range has been manipulatedby addition of electrolyte.

Pair Interaction Potentials of Colloids by Extrapolation of Confocal Microscopy Measurements of Collective Structure