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We propose a transform theory for calculating a density profile of smallcolloids around a large colloid from a force curve between the two-largecolloids. In the colloid solution, there are many small colloids and two orseveral large colloids. The force curve between the two-large colloids can bemeasured by laser tweezers. In this letter, the transform theory is derived indetail, where a superposition approximation of the radial distributions of thedensity profiles and rigid-body approximation are introduced. In our opinion,if the experimental condition is satisfied, the transform theory can be usednot only for the laser tweezers, but also for surface force apparatus andcolloid probe atomic force microscopy. Furthermore, the transform theory is tocalculate a density profile of micelles around a large spherical surface.

Measurement theory of a density profile of small colloids around a large colloid: Superposition of the radial distribution functions