### Abstract

Positron annihilation lifetime spectroscopy (PALS) and impedance spectroscopy (IS) have been employed to study the effect of temperature and pressure on the DC conductivity (sigma(DC)) and the mean hole volume (V-h) of a NaPF6 ethylene oxide based polyurethane electrolyte. The DC conductivity of the polymer electrolyte displayed a characteristic non-Arrhenius temperature dependence yielding acceptable values for both the "pseudo-activation energy" (B) and the "zero mobility temperature" (TO) from a VTF fit. V-h(T) showed a linear increase of 0.53 cm(3) (moIK)(-1). When extrapolating V-h(T) to OK a temperature very close to To from the VTF fit was obtained, which suggests a free volume mediated conductivity mechanism. This suggestion is further supported by the linear dependence of ln(sigma(DC)(T)) on V-h(-)(T). Conductivity was measured as a function of pressure (sigma(DC)(P)) with ln(sigma(DC)(P)) showing a characteristic decrease with increasing pressure. The activation volumes (V-A) calculated from these measurements ranged from 45 to 20 cm(3) mol(-1) over a temperature from 304 to 365 K. Critical volumes calculated from two current free-volume models were found to be unrealistic. Combining the extra volume required for ionic motion (VA) with the available free volume (Vh) at the same temperature poses a realistic and 'model-free' figure of 117 cm(3) mol(-1) for the critical volume at 304 K. This equates roughly to the volume of 3-4 EO units. The pressure dependence of free volume (Vh(P)) for a polymer electrolyte has been measured for the first time, and yielded a linear decrease in Vh with increasing pressure. A linear dependence Of sigma(DC)(P) on V-h(-1)(P) was also found. A comparison of the isothermal and isobaric dependence of sigma(DC) on V-h(-1) illustrates the contribution of factors other than free volume have on charge carrier number and mobility. This comparison shows that the variation of Vh with temperature and the variation of Vh with pressure affect the conductivity in very different ways. These results clearly show that free volume cannot be considered the sole factor responsible for conductivity in polymer electrolytes. (c) 2005 Elsevier Ltd. All rights reserved.

Original language | English |
---|---|

Pages (from-to) | 3955-3962 |

Number of pages | 7 |

Journal | Electrochimica Acta |

Volume | 50 |

DOIs | |

Publication status | Published - Feb 2005 |

### Keywords

- polymer electrolyte
- positron annihilation
- pressure
- activation volume
- critical volume
- GLASS-FORMING LIQUIDS
- LOCAL FREE-VOLUME
- TEMPERATURE-DEPENDENCE
- IONIC-CONDUCTIVITY
- TRANSPORT
- SUBSTANCES
- TRANSITION
- MELTS

### Cite this

*Electrochimica Acta*,

*50*, 3955-3962. https://doi.org/10.1016/j.electacta.2005.02.058

**Free volume and conductivity in polymer electrolytes.** / Pas, S. J.; Ingram, Malcolm David; Funke, K.; Hill, A. J.

Research output: Contribution to journal › Article

*Electrochimica Acta*, vol. 50, pp. 3955-3962. https://doi.org/10.1016/j.electacta.2005.02.058

}

TY - JOUR

T1 - Free volume and conductivity in polymer electrolytes

AU - Pas, S. J.

AU - Ingram, Malcolm David

AU - Funke, K.

AU - Hill, A. J.

PY - 2005/2

Y1 - 2005/2

N2 - Positron annihilation lifetime spectroscopy (PALS) and impedance spectroscopy (IS) have been employed to study the effect of temperature and pressure on the DC conductivity (sigma(DC)) and the mean hole volume (V-h) of a NaPF6 ethylene oxide based polyurethane electrolyte. The DC conductivity of the polymer electrolyte displayed a characteristic non-Arrhenius temperature dependence yielding acceptable values for both the "pseudo-activation energy" (B) and the "zero mobility temperature" (TO) from a VTF fit. V-h(T) showed a linear increase of 0.53 cm(3) (moIK)(-1). When extrapolating V-h(T) to OK a temperature very close to To from the VTF fit was obtained, which suggests a free volume mediated conductivity mechanism. This suggestion is further supported by the linear dependence of ln(sigma(DC)(T)) on V-h(-)(T). Conductivity was measured as a function of pressure (sigma(DC)(P)) with ln(sigma(DC)(P)) showing a characteristic decrease with increasing pressure. The activation volumes (V-A) calculated from these measurements ranged from 45 to 20 cm(3) mol(-1) over a temperature from 304 to 365 K. Critical volumes calculated from two current free-volume models were found to be unrealistic. Combining the extra volume required for ionic motion (VA) with the available free volume (Vh) at the same temperature poses a realistic and 'model-free' figure of 117 cm(3) mol(-1) for the critical volume at 304 K. This equates roughly to the volume of 3-4 EO units. The pressure dependence of free volume (Vh(P)) for a polymer electrolyte has been measured for the first time, and yielded a linear decrease in Vh with increasing pressure. A linear dependence Of sigma(DC)(P) on V-h(-1)(P) was also found. A comparison of the isothermal and isobaric dependence of sigma(DC) on V-h(-1) illustrates the contribution of factors other than free volume have on charge carrier number and mobility. This comparison shows that the variation of Vh with temperature and the variation of Vh with pressure affect the conductivity in very different ways. These results clearly show that free volume cannot be considered the sole factor responsible for conductivity in polymer electrolytes. (c) 2005 Elsevier Ltd. All rights reserved.

AB - Positron annihilation lifetime spectroscopy (PALS) and impedance spectroscopy (IS) have been employed to study the effect of temperature and pressure on the DC conductivity (sigma(DC)) and the mean hole volume (V-h) of a NaPF6 ethylene oxide based polyurethane electrolyte. The DC conductivity of the polymer electrolyte displayed a characteristic non-Arrhenius temperature dependence yielding acceptable values for both the "pseudo-activation energy" (B) and the "zero mobility temperature" (TO) from a VTF fit. V-h(T) showed a linear increase of 0.53 cm(3) (moIK)(-1). When extrapolating V-h(T) to OK a temperature very close to To from the VTF fit was obtained, which suggests a free volume mediated conductivity mechanism. This suggestion is further supported by the linear dependence of ln(sigma(DC)(T)) on V-h(-)(T). Conductivity was measured as a function of pressure (sigma(DC)(P)) with ln(sigma(DC)(P)) showing a characteristic decrease with increasing pressure. The activation volumes (V-A) calculated from these measurements ranged from 45 to 20 cm(3) mol(-1) over a temperature from 304 to 365 K. Critical volumes calculated from two current free-volume models were found to be unrealistic. Combining the extra volume required for ionic motion (VA) with the available free volume (Vh) at the same temperature poses a realistic and 'model-free' figure of 117 cm(3) mol(-1) for the critical volume at 304 K. This equates roughly to the volume of 3-4 EO units. The pressure dependence of free volume (Vh(P)) for a polymer electrolyte has been measured for the first time, and yielded a linear decrease in Vh with increasing pressure. A linear dependence Of sigma(DC)(P) on V-h(-1)(P) was also found. A comparison of the isothermal and isobaric dependence of sigma(DC) on V-h(-1) illustrates the contribution of factors other than free volume have on charge carrier number and mobility. This comparison shows that the variation of Vh with temperature and the variation of Vh with pressure affect the conductivity in very different ways. These results clearly show that free volume cannot be considered the sole factor responsible for conductivity in polymer electrolytes. (c) 2005 Elsevier Ltd. All rights reserved.

KW - polymer electrolyte

KW - positron annihilation

KW - pressure

KW - activation volume

KW - critical volume

KW - GLASS-FORMING LIQUIDS

KW - LOCAL FREE-VOLUME

KW - TEMPERATURE-DEPENDENCE

KW - IONIC-CONDUCTIVITY

KW - TRANSPORT

KW - SUBSTANCES

KW - TRANSITION

KW - MELTS

U2 - 10.1016/j.electacta.2005.02.058

DO - 10.1016/j.electacta.2005.02.058

M3 - Article

VL - 50

SP - 3955

EP - 3962

JO - Electrochimica Acta

JF - Electrochimica Acta

SN - 0013-4686

ER -