Ion transport through perfluorosulfonic acid ionomers such as Nafion(R) is
controlled by both the microstructure of the polymer and the charge and wat
er distribution in the hydrated polymer. We present here the results of the
oretical calculations on the side chain of Nafion(R), establishing microsco
pic information for the modeling of water and proton transport in the membr
ane. Optimized geometries for the trifluoromethane sulfonic acid fragment (
CF3SO3H), the di-trifluoromethane ether fragment (CF3OCF3), and the side ch
ain (CF3-OCF2CF(CF3)OCF2CF2SO3H) were determined by means of both ab initio
Hartree Fock theory with second order Moller-Plesset electron correlation
corrections, and density functional theory with Becke's three parameter hyb
rid method. Several rotational potential energy surfaces were calculated to
assess chain flexibility and proton accessibility. A probe water molecule
was added to each of the fragments to characterize hydrophilic sites. These
calculations confirmed that the sulfonic acid group is hydrophilic and the
ethers are hydrophobic. Molecular dynamics simulations were then performed
on the side chain to check the conditions required to stretch the pendant
chain. Thermal averages of several structural parameters assessing the flex
ibility and stretch of the chain were computed from selected conformations
produced in the simulation and these results indicate that although the sul
fonate group is free to rotate, the chain stretches little. The constructio
n of a potential energy surface for rotation about the second ether group s
uggests that the side chain exists in a folded or curled up conformation. A
physical continuum dielectric solvent model was used to obtain free energi
es of electrostatic interaction of the fragments and the full chain with th
e solvent. (C) 1998 Elsevier Science B.V. All rights reserved.