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On the ionic conductivity of polymer electrolytes in terms of hole fraction
Authors:Ugur Yahsi  Kemal Ulutas  Cumali Tav  Deniz Deger
Affiliation:1. Physics Department, The Faculty of Arts and Science, Marmara University, 34722 Goztepe, Istanbul, Turkey;2. Physics Department, The Faculty of Science, Istanbul University, 34118 Beyazit, Istanbul, Turkey
Abstract:A theoretical model to interpret the conductivity of ions through polymer electrolytes is established in terms of the temperature and pressure‐dependent hole fraction computed from Simha‐Somcynsky hole theory. The model successfully linearizes the logarithm of PPG and PEG conductivity data with NaCF3SO3 in a 20:1 ratio for a broad range of temperature and pressure. The conductivity parameter and transmission coefficient with an additive hole fraction constant are discussed and compared for both species. The derivative of the logarithm of conductivity with respect to the hole fraction decreases inversely with the hole fraction and saturates at about 0.08 and 0.12 hole fractions for PPG and PEG, respectively. © 2008 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 46: 2249–2254, 2008
Keywords:free volume  hole fraction  ionic conductivity  modeling  PEG  polymer electrolytes  PPG  Simha‐Somcynsky theory  statistical thermodynamics  voids
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