Structure and thermodynamics of colloids clothed

by end-grafted polymer chains

in high-molecular-weight solvent


M. Yassine, M. Benzouine, M. Benhamou*

Laboratoire de Physique des Polymères et Phénomènes Critiques

Faculté des Sciences Ben M’sik, P.B. 7955, Sidi Othman, Casablanca, Morocco

* Corresponding author. E-mail:

Received: 24 December 2006; revised version accepted: 17 July 2007



     We consider an assembly of colloids clothed each by f end-grafted long polymer chains of common polymerization degree N. We assume that these clothed colloids are immersed in a high-molecular-weight solvent, made of polymer chains of the same polymerization degree . First, we show that the effective potential between two clothed colloids is logarithmic, for distances smaller than their corona radius . For higher distances, that is above , the potential fails exponentially. Second, we investigate the structure and thermodynamics of the clothed colloids, using the integral equation method with the hybridized-mean spherical approximation. The numerical resolution of this integral equation enables us to determine the associated structure factor, as a function of the wave-vector, the particle density and the polymerization degree P. The relation between thermodynamics and structure allows the computation of three physical quantities, which are the isotherm compressibility, pressure and internal energy. Finally, a comparison with the results relative to clothed particles trapped in low-molecular-weight solvents  is made.


Keywords : Colloidal solutions; High-molecular-weight solvents; Structure; Thermodynamics.

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