Modeling ionomer swelling dynamics of a sulfonated polyphenylene,pentablock copolymers,and nafion

The water swelling behavior of Nafion, sulfonated poly(phenylene) (sPP), and polyt‐butyl styrene‐b‐hydrogenated isoprene‐b‐sulfonated styrene‐b‐hydrogenated isoprene‐b‐t‐butyl styrene) was studied in order to understand microscopic molecular interactions. Ionomer swelling was modeled using the Flory‐Rehner relationship to predict solvent‐ionomer interaction parameter (χ ₁₂) and effective number of elastically active chains (n ). Water swollen PBC had a decreasing χ₁₂ from 1.146 to 0.516 when its ion‐exchange capacity (IEC) increased from 1.0 to 2.0. Nafion 117 and sPP χ ₁₂ values were 0.93 and 0.807 at an IEC of 0.91 and 1.8. Polymer water uptake was inversely dependent upon n and IEC or sulfonic acid‐group concentration. The following trend was noted for ionomer type, n , and water uptake: PBC‐2.0 (159 wt % and 7.89e‐4 mol/cm³) > sPP (48.6 wt % and 1.40e‐3 mol/cm³) > Nafion 117 (23 wt % and 1.24e‐3 mol/cm³). The ionomer's Gibb's total free change (ΔG_Tot ) due to water swelling for Nafion 117 was ?15.3 J, sPP was ?28.5 J, and PBC‐2.0 was ?53.2 J. An empirical equation was created to estimate a material's total solubility parameter (δ ); and dispersion (δ_d ), dipolar (δ_p ,), and hydrogen bonding (δ_h ) forces. The δ values for Nafion 117, sPP, and PBC‐2.0 were 19.9 (J/cm³)^1/2, 21.3 (J/cm³)^1/2, and 21.0 (J/cm³)^1/2. Idealized swelling within an ionomer due to solvent. Ion domains are comprised of fixed sulfonated acid groups (? SO₃H) along the polymer's backbone. These functional groups provide interaction sites for molecules to diffusion and swell chains. The total change in free energy ΔG is dominated by ΔG_mix that is attributed to hydrogen bonding and the concentration of elastically active chains n , which directly impacts its chemical potential Δμ . © 2017 Wiley Periodicals, Inc. J. Polym. Sci., Part B: Polym. Phys. 2017 , 55 , 435–443