title: Analysis of Gibbs adsorption equation and thermodynamic relation between Gibbs standard energies of adsorption and micellization through a surface equation of state.
abstract: The calculation of surface molecular areas through Gibbs adsorption equation has been questioned in some early works on the belief that these areas have been obtained from the apparently constant slope of the surface tension vs. logarithm of concentration curve along the entire region at which surface tension declines rapidly as the concentration increases. This premise leads to consider that Gibbs equation predicts that surface saturation is reached at the beginning of this region. However, through an analysis of the forementioned curve in accordance to Gibbs equation, it can be easily shown that surface saturation is attained at the end of the region. On the other hand, based on a thermodynamic model, it is also shown that the adsorption process, and thus, surface saturation, proceeds before micellization.
authors.affiliation: Facultad de Química, Departamento de Fisicoquímica, Universidad Nacional Autónoma de México, México, DF 04510, Mexico.
authors.forename: Carolina
authors.initials: C
authors.lastname: Bermúdez-Salguero
authors.forename: Jesús
authors.initials: J
authors.lastname: Gracia-Fadrique