Relative permittivities and dielectric virial coefficients of nitrogen at T = 283.401 K and T = 303.409 K determined using a cylindrical microwave cavity resonator

  • Ewing M
  • Royal D
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Abstract

A very small and highly stable cylindrical microwave cavity resonator was used to measure the relative permittivities ε of nitrogen at T = 283.401 K and T = 303.409 K, for pressures up to 4.015 MPa. The total fractional uncertainties in ε at the 0.95 probability level were ±2.2·10-6to ±4.2·10-6for the cylinder's TM010 mode, ±3.0·10-6to ±4.8·10-6for the TM011 mode, and ±9.0·10-6to ±9.9·10-6for the TM110 mode. The ε measurements were combined with recently published values of the second and third (p, Vm, T) virial coefficients to determine the first dielectric virial coefficients Aε(283.401 K) = (4.3921 ± 0.0018)cm3·mol-1and Aε(303.409K) = (4.3911 ± 0.0016) cm3·mol-1, and the second dielectric virial coefficients Bε(283.401 K) = (2.7 ± 1.8)cm6·mol-2and Bε(303.409 K) = (2.5 ± 1.6)cm6·mol-2, where the uncertainties are at the 0.95 probability level. The second dielectric virial coefficients were used to determine an estimate of the quadrupole moment of nitrogen, θ = (5.1 ± 2.9)·10-40C·m2, in agreement with published results obtained using a variety of techniques. © 2002 Published by Elsevier Science Ltd.

Author-supplied keywords

  • Dielectric
  • Nitrogen
  • Permittivities
  • Quadrupole
  • Resonator

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Authors

  • M. B. Ewing

  • D. D. Royal

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