ABSTRACT

Furthermore, we may assume that the ∆Ωmic of a surfactant aggregate of a certain size and shape can be calculated by relying on a curvature expansion of Helfrich type in terms of ωs:

(204)

where ωs0 refers to a cylindrical aggregate surface of mean curvature equal to H0. Such a calculation can aim at deriving the equilibrium size upon assuming a certain micellar shape and invoking the proper packing constraints, while making use of the Ou-YangHelfrich equation in a form entirely analogous to Eq. (53), that is,

(205)

Progressing along such a route, however, comparatively large values of the bending constants are obtained on the order of 100kT for kc as the size changes contemplated will then necessarily imply that the surfactant chemical potential in the micelle varies a great deal.