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Recent atomic force microscopy (AFM) can measure force curves between a probeand a sample surface in several solvents. The force curve is thought as thesolvation structure in some cases, because its shape is generally oscilltiveand pitch of the oscillation is about the same as diameter of the solvent.However, it is not the solvation structure. It is just only a mean forcebetween the probe and sample surface. Since theoretical relation between themean force and the solvation structure had not been clearly known, we haverecently derived a relational expression within a simple liquid. Although wehave derived the relational expression within the simple liquid, the relationalexpressions for a binary solvent and a molecular liquid have still not knownclearly. Hence, we try to obtain the relational expressions in the two types ofthe solvents. In this letter, we briefly derive the relations and explain amethod for comparing the mean force measured by liquid AFM and the solvationstructure (obtained by a simulation, a liquid theory, or a x-ray reflectivity).The derivations of the relational expressions are performed in the basis ofclassical statistical mechanics of liquid.

Relation between a force curve measured on a solvated surface and the  solvation structure: Relational expressions for a binary solvent and a  molecular liquid