By using the binary anionic/cationic surfactants system CH 3 (CH 2 ) n OSO − 3 /CH 3 (CH 2 ) n N + (CH 3 ) 3 as an example, the molecular exchanging energy (ε) of adsorption on the surface monolayer of aqueous solution has been studied. ε can be obtained with two methods. One is from the relationship between ε and the molecule interaction parameter (β). This relationship is founded by considering that the adsorption of mixed surfactants on the surface monolayer of solution satisfies the dimensional crystal model condition under which β can be obtained by testing the surface tension of solution. The other is directly from the molecular structure of surfactants with the Lennard-Jones formula. The results for the studied system show that these two methods coincide well.
surfactant, molecule exchanging energy, dimensional crystal modelBecause of the existence of molecular interaction, mixed surfactants are often superior to a single one to reduce the surface energy of solution. This phenomenon is called synergism of mixed surfactants [1] . Synergism is very useful in many fields such as mining engineering, oil extraction, pharmaceutical production, cosmetic industry, and so on. However, since there are many kinds of interactions in solution such as the van der Waals force, the Coulomb force and hydrogen bond among surfactants and solvent molecules, the study of the molecular interaction in mixed surfactants solution is very difficult. To our knowledge, only the investigations by Rubingh [2,3] , Rosen [4,5] and their co-workers have been reported so far. In their work, they used a nonideal parameter β, which is also called molecular interaction parameter and was deduced from the regular solution theory, to describe the synergism of mixed surfactants.i.e., The bigger of the absolute value of β when β < 0, the stronger the synergism. β can be determined with the surface tension vs. the logarithm of mixed surfactants concentration curves γ ~lgc, but how to explain the essences of β and synergism quantitatively from the molecular structure, it remains to be further investigated.In fact the synergism can be described with molecular exchanging energy at the molecular structure level. The present work is divided into three parts: Firstly, based on the supposition that the mixed surfactants solution is also a regular solution just as Rubingh and Rosen supposed and with the helps of a two-dimensional crystal model and the Flory-Huggins lattice theory, a method of determining ε from β is developed. Secondly, another method of evaluating ε directly from the molecular structure of mixed surfactants with the Lennard-Jones formula is introduced. Finally, by using a common ani-