Related Experiment Video
Updated: Jun 5, 2026

Synthesis and Characterization of Supramolecular Colloids
Published on: April 22, 2016
The renormalized Jellium model of colloidal suspensions with multivalent counterions
1Instituto de Física, Universidade Federal do Rio Grande do Sul, CP 15051, 91501-970 Porto Alegre, RS, Brazil. colla@if.ufrgs.br
Abstract:
An extension of the renormalized Jellium model which allows to study colloidal suspensions containing trivalent counterions is proposed. The theory is based on a modified Poisson-Boltzmann equation which incorporates the effects of counterion correlations near the colloidal surfaces using a new boundary condition. The renormalized charges, the counterion density profiles, and osmotic pressures can be easily calculated using the modified renormalized Jellium model. The results are compared with the ones obtained using the traditional Wigner-Seitz (WS) cell approximation also with a new boundary condition. We find that while the thermodynamic functions obtained within the renormalized Jellium model are in a good agreement with their WS counterpart, the effective charges predicted by the two theories can be significantly different.
Related Concept Videos
Colloids and Suspensions
Colloidal precipitates
The Colloidal State
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model
Coagulation
Colloids

