Relationship between the volumetric strain and the pH in ionic polymeric gels

Mohsen Shahinpoor

doi:10.1117/12.148498

23 July 1993 Relationship between the volumetric strain and the pH in ionic polymeric gels

Mohsen Shahinpoor

Proceedings Volume 1916, Smart Structures and Materials 1993: Smart Materials; (1993) https://doi.org/10.1117/12.148498
Event: 1993 North American Conference on Smart Structures and Materials, 1993, Albuquerque, NM, United States

Abstract

A theoretical model is presented for the derivation of a mathematical relationship between the volumetric strain of an ionic polymeric gel and its pH. The model presented also applies to polyelectrolytes in aqueous solutions. The derivation uses an expression for the total electrostatic free energy per single polyelectrolyte molecule which involves a quasi-Debye curvature, the local absolute temperature, the geometric features of polyelectrolyte molecule, the dielectric constant of the gel as well as the local ionic concentrations for the fixed and the mobile charges. The gradient of the free energy with respect to the number of fixed ions is then related to the pH, i.e., the local concentration of hydrogen ions H⁺, the absolute temperature T and the degree of ionization (alpha) which is defined as the ratio of the number of moles of H⁺ to the number of moles of the ionizable groups fixed to the ionic gel network. Subsequently, the gradient of the free energy is related to the volumetric strain of the ionic gel network.

Citation Download Citation

Mohsen Shahinpoor "Relationship between the volumetric strain and the pH in ionic polymeric gels", Proc. SPIE 1916, Smart Structures and Materials 1993: Smart Materials, (23 July 1993); https://doi.org/10.1117/12.148498

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