Charged micelles in salt-free dilute solutions

C. Huang, M. Olvera De La Cruz*, M. Delsanti, P. Guenoun

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


We study micelles in salt-free dilute aqueous solutions of diblock copolymers made of long charged A chains and short Hydrophobie B chains. The number density of aggregates with p chains (np) and the number of condensed counterions in a p-aggregated chain (Nc(p)) are obtained equating the chemical potentials of the p-aggregated chains (p = 2, 3, ...) with those of the free chains (p = 1) and equating the chemical potentials of the condensed counterions in the aggregates (p = 1,2, ...) with those of the free counterions. The critical micelle concentration (cmc) and the degree of polydispersity are large in charged diblock copolymer solutions. Since Nc(p) increases as p increases, micelles with p ≫1 are nearly neutral. The most populated micelles in experimetally accessible systems, however, have a small number of chains and their effective charge is not strongly reduced. As the concentration of copolymer increases above the cmc, the concentration of free chains decreases.

Original languageEnglish (US)
Pages (from-to)8019-8026
Number of pages8
Issue number25
StatePublished - Dec 15 1997

ASJC Scopus subject areas

  • Organic Chemistry
  • Polymers and Plastics
  • Inorganic Chemistry
  • Materials Chemistry


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