The interaction free energy (in units of kBT) between two nanoprisms within a lamellar superlattice in a solution of 0.05 M CTAB taking into account the various interparticle interactions. EvdW, Eel, and Edep are van der Waals, electrostatic, and depletion interaction energies, respectively. Whereas Eel + Edep (red) and EvdW + Eel + Edep (green) possess a minimum, EvdW + Eel (blue) does not.