Proton conductivity through perfluorosulfonate acid (PFSA) polymer electrolyte membranes was investigated using a nanoporous network model, which was developed for the purpose of quantitatively describing transport of charged species through typical PFSA fuel cell membranes. The membrane was modeled as a collection of random fractal nanopores with the anionic groups (i.e.,-SO 3-) assumed to be fixed along the pore wall according to a distribution determined by the equivalent weight and dry membrane density. The transport of the hydronium ions inside the pore was expressed using a simplified Nernst-Einstein equation. Continuum percolation theory and a fractal structural transport model were used to modify the diffusion coefficient and illustrate the transport mechanism. The conductivity of the membrane was deduced in terms of the following quantities: water content, equivalent weight, temperature, and the architecture of the PFSA polymer side chain. Theoretical predictions of the model for varying water content and temperature were compared against experimental data of conductivity for four membranes: Nafion 117 (EW = 1100, a long side chain with a pendant CF 3 group), Membrane C (EW = 900, same side chain as Nafion, but with a shorter backbone repeat unit), a 3M membrane (EW = 1000, long side chain without a pendant CF 3 group), and Dow's XUS 13204.10 (EW = 800, same as the 3M membrane, but with shorter backbone unit and side chain). The theoretical predictions of the model matched the experimental data with reasonable quantitative accuracy in most cases. One of the most efficient alternative clean energy conversion devices for long-term use is the polymer electrolyte membrane fuel cell (PEM-FC). The essential but performance-limiting component of a PEM-FC is the proton exchange membrane. Perfluorosulfonic acid (PFSA) polymer membranes are the most widely adopted in PEM-FC technology; for examples, DuPont's Nafion, Membrane C of Chlorine Engineers Corp., Dow's XUS 13204.10, Aciplex of Asahi Kasei Corp., and membranes developed by 3M Corp., all of which are currently commercially available. 1 Hydrogen gas is commonly used as an energy source in a PEM-FC by splitting the H 2 molecules into pairs of protons and electrons. The hydrated protons move through the membrane, while the electrons pass through an external circuit. The efficiency of the PEM-FC depends strongly on the rate of transport of protons, which is directly related to the morphology of the membrane. The chemical structure of a PFSA polymer combines a hy-drophobic backbone with short hydrophilic side chains terminated with sulfonic acid groups. The chain backbone provides the structural support of the membrane, while the sulfonic acid groups donate protons to water clusters within the hydrated pores of the membrane. During the last two decades, numerous physical and chemical property data of PFSA polymer membranes were accumulated under different operational conditions; however, their morphological characteristics are still subject to debate. Various membrane structural models have been proposed based on their monomeric chemical properties as well as data from neutron and small angle X-ray scattering. In hydrated membranes, the PFSA molecules are generally classified as assuming various types of model morphologies, such as spherical clusters, 2,3 the reverse micelle-channel model, 4 polymer bundles, 5,6 channel networks, 7 layered structures, 8 and parallel cylindrical pores. 9 Of course, the exact nature of the nanoporous morphology is likely highly dependent on the water content. 10 Several of these typical morphologies were compared by Schmidt-Rohr and Chen based upon experimental data from small-angle X-ray scattering data of Nafion, which was compared to simulated structures of the hydrated PFSA environment. 9 These simulations suggested that a Nafion morphology based on a parallel cylindrical pore channel array gave a better match to the X-ray scattering data than the spherical * Electrochemical Society Student Member. z E-mail: bje@utk.edu water cluster model, channel network model, or the polymer-bundle model. The hypothesis of cylindrical conduction channels within PFSA membranes has been used previously to study the transport properties and proton conductivity within these materials. Din and Michaelides performed molecular dynamics simulations to study the movement of proton and water within pores of radii 9.36 and 12.24 Å. 11 They found that the proton and water distributions depended on the water content and wall surface-charge density. Paddison et al. derived a statistical model for a similar system in order to investigate the wall surface-charge density dependence. 12,13 This model was extended to incorporate species transport equations within the pores by Kumar et al.; 14 these researchers were able to predict conductivities of Nafion membranes as functions of pore radii, surface-charge distribution, water content, etc. Although fundamental, these transport equations require the specification of several structural parameters (such as pore radius, charge distribution, pore length, pore geometry, etc.) that cannot easily be obtained directly from experiments. In this work, we exploit some key architectural characteristics of the PFSA macro-molecules, coupled with percolation theory, to calculate the diffusion coefficient that dictates the strength of the conduction effect of the Nernst-Einstein equation under different environmental conditions of water content and temperature. In the model used for conductivity and dry membrane density calculations , we assumed that the PFSA polymer membrane was composed of a nanoporous network of indeterminate morphology. The sulfonic acid groups at the terminal position of the side chains were assumed to be distributed randomly on the inside walls of the pores. For a given PFSA polymer membrane, the free volume of the dry membrane was calculated and assumed to equate to the total dry-channel volume of the nanoporous network. Under exposure to humidified air, water enters into the nanopores and hydrates the protons of the sulfonic acids groups. These pores were assumed to be deformable. The expression of membrane conductivity was based on the Nernst-Einstein equation, which depends directly on the diffusion coefficient of hydronium ions. This coefficient was developed using continuum percolation theory, which also aided the theoretical understanding of the proton transport mechanism. Predictions of this model were compared against experimental data for four different types of PFSA membranes: Nafion 117 (denoted in the following as N), Dow XUS 13204.10 (D), Membrane C (denoted as C, produced by Chlorine Engineers, Japan), and a 3M membrane (3M).) unless CC License in place (see abstract). ecsdl.org/site/terms_use address. Redistribution subject to ECS terms of use (see 160.36.33.249 Downloaded on 2015-07-09 to IP