Tseng S.Jiang J.-M.Hsu J.-P.2019-05-202019-05-20200515206106https://scholars.lib.ntu.edu.tw/handle/123456789/409344The electrical potential inside a lipid structure, which is described by a modified Poisson-Boltzmann equation in the literature (Borukhov et al. Electrochim. Acta 2000, 46, 221), is solved, taking into account the effects of ionic sizes. Here, a micelle comprises an ionic surfactant layer and an aqueous core; the dissociation of the former yields a charged surface. The governing equation, which was solved numerically in a previous study for spherical geometry (Hsu et al. J. Phys. Chem. B 2003, 107, 14429), is solved analytically in this study for planar, cylindrical, and spherical geometries. The analytical results obtained are readily applicable for the evaluation of the spatial distributions of counterions inside a lipid structure. We show that if the linear size of a reverse micelle is fixed, the degree of dissociation of the surfactant layer follows the order planar > cylindrical > spherical. ? 2005 American Chemical Society.journal article10.1021/jp044238b2-s2.0-18444402466https://www.scopus.com/inward/record.uri?eid=2-s2.0-18444402466&doi=10.1021%2fjp044238b&partnerID=40&md5=47010b8663b5025fe3daa7dca12dee07