On the ionic conductivity of polymer electrolytes in terms of hole fraction

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

On the non‐newtonian viscous behavior of polymer melts in terms of temperature and pressure‐dependent hole fraction

“…viscoelasticity, physical aging etc. The hole fraction has been also utilized to express a variety of equilibrium and kinetic process such as viscosity, ionic conductivity etc.…”

Viscous behavior of PS, PP, and ABS in terms of temperature and pressure‐dependent hole fraction

“…viscoelasticity, physical aging, etc. The hole fraction16 has been also utilized to express a variety of equilibrium and kinetic processes such as viscosity,1, 3, 5–10 ionic conductivity,17 etc.…”

Relaxation time of polypropylene glycol and polypropylene glycol dimethylether-like polymers in terms of fluid-phase temperature and pressure dependent hole fraction

“…The activation energy (E a ) in Eq. (7), linearly proportional to the sublimation energy and inversely proportional to the number of neighboring holes (or to the hole fraction), can be stated as [21,25,26,29] E a ¼ 1 2…”

“…Here ht and U are slowly varying functions of temperature and pressure [21,25,26,29,30], they are kept hence in the coefficients. Here the quantity, Y h , in Eq.…”

“…The Eyring jump frequency of a molecule to a hole with activation energy, E a , can be expressed as [21,[25][26][27][28] …”