Repeat unit of the reported perfluorinated acid membrane.
Ionic conductivity of the PFSA membrane. The circle represents the experimental data of Sone et al. (Ref. 25) at 353.15 K and the solid line represents our LCT model.
Ionic conductivity for the repeat unit structure in Fig. 1, where varies from 5 to 11 by increments of 2. The solid line describes at 5, while the dashed line, dotted line, and dashed and dotted line describe at 7, 9, and 11, respectively.
The cluster network model.
Ionic conductivity for the repeat unit structure in Fig. 1, where varies between 0 and 1. The solid line represents at 1 and the dotted line shows at 0.
Ionic conductivity for the repeat unit structure in Fig. 1, where is 0, 1, or 2 in Fig. 1. The solid line represents at 1, the dashed line is at 2, and the dotted line is at 3.
Two types of PFSA membrane repeat units. Type A has the parameters of , , and . Type B describes a membrane repeat unit of , , and .
Comparison of the experimental data and theoretical data. The open square represents cell voltage data obtained at and the open triangle denotes data obtained at by Squadrito et al. (Ref. 23).
Schematic representation of linear type polymers (polyethylene). Each dot represents a group and the chain between two dots represents a single bond.
Schematic representation of the PFSA membrane and the repeat unit structure.
Schematic figure of a newly generated bond and an example of the generation of three bonds.
Parameters of ionic conductivity.
Scaling factor for the LCT energy parameter.
Parameters of the total cell voltage model.
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