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Tan and Spinner (1994), developed a more complete model for ionic exchange that includes the limitation of total transference.
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The total ionic transference number is in the range of 0.92 0.96 and the charge transport is predominantly due to ions.
The total ionic transference number was calculated from plots of the polarization current versus time with the equation (3): t ion = 1 − I f I i (3).
The membranes present conductivities around 6 × 10-7 S.cm-1at room temperature and total ionic transference number is higher for membranes based on polymers with high EG unit content.
The total ionic transference number was found to be in the range of 0.94 0.96 and suggests that the charge transport is predominantly due to ions.
Maximum conductivity at room temperature with good mechanical stability and total ionic transference number has been observed for P4-10/Li membrane from the various compositions studied.
The membranes based on polyphosphonate with PEG 200 and 2000 showed conductivity between 6 × 10-8 S.cm-1 and 6 × 10-7 S.cm-1 at room temperature and total ionic transference number between 0.87- 0.96.
Also, the total ionic transference number is higher for membranes based on P4 and confirms the observation regarding the improvement of salt complexation due to the greater amount of EG unit in the P4.
The ionic conductivity value was calculated at room temperature according to Eq. (2), from the intercept of the curve with real axis and the total ionic transference number was calculated from plots of the polarization current versus time with the Eq. (3).
The emphasis lies on new approaches regarding chemical concepts that achieve a higher total conductivity and lithium transference number as well as an increased electrochemical, mechanical and thermal stability.
The coefficients in the above relations (friction coefficients) are expressed through the experimentally measurable macroscopic transport parameters, the total high-frequency conductivity, migration transference numbers, binary diffusion coefficient and differential redox capacitance of the film.
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