The Hanford site, near Richland, WA, in the U.S.A., has more than 55 million gallons of high-level nuclear waste, much of which is high-ionic strength sodium and potassium containing electrolyte solutions. Spherical-resorcinol formaldehyde ion exchange resin is being developed to remove radioactive cesium from the waste. This study develops a model in the Rothmund-Kornfeld framework to predict Cs+-K+-Na+ selectivity on the resin. The model is found to fit the available data well, with an R (2) of greater than 0.985. The Rothmund-Kornfeld model is thus recommended for use in modelling ternary ion-exchange in Hanford waste.