Excess Permittivity for Mixtures at Various Concentrations

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In order to predict the permittivity and excess permittivity data of binary systems containing cyclic ketones (cyclohexanone and cyclopentanone) and 1,4-butanediols, various mixing rules were used [1,2]. The permittivity increment, , was also evaluated in this research using the predicted data. x1 and x2 are the mole fractions of the components 1 and 2, and are the permittivities of the pure components. As shown in Fig. 1, the experimental permittivity values for three systems containing 1,4-butanediol (1,4BD) and two cyclic ketones were estimated by several mixing rules. Typically, for cyclohexanone and 1,4-butanediol mixtures, the predicted excess permittivity data were compared and shown in Fig. 2. As it can be seen from Table 1, the Lichteneker-Rother model shows the lower root mean square deviation (rmsd) value, which indicates that the Lichteneker-Rother model presents the best result between the predictive models.


1985 ◽  
Vol 31 (108) ◽  
pp. 163-170 ◽  
Author(s):  
Ari Sihvola ◽  
Ebbe Nyfors ◽  
Martti Tiuri

AbstractThis paper discusses dielectric properties of snow according to various dielectric models and compares them with experimental results. The complex permittivity of wet snow is assumed to consist of two parts, being the sum of the permittivity of dry snow (a mixture of ice and air) and the excess permittivity due to liquid water (resulting from the dielectric mixture of water and air). In particular the effect of liquid water is considered. Exponential models and structure-dependent models based on mixture theories by Taylor and Tinga and others are applied. It is shown that the assumption that water inclusions have the form of either randomly oriented discs or needles, or of spheres do, not get empirical confirmation but the inclusions are preferably prolate ellipsoids (ellipticity 0.16) or oblate ellipsoids (ellipticity 0.12), dry snow being a dielectric mixture of randomly oriented disc-shaped ice particles and air.


2018 ◽  
Vol 57 (12) ◽  
pp. 2997 ◽  
Author(s):  
Boniphace Kanyathare ◽  
Kai-Erik Peiponen

2008 ◽  
Vol 40 (9) ◽  
pp. 1475-1476 ◽  
Author(s):  
T.P. Iglesias ◽  
João Carlos R. Reis ◽  
L. Fariña-Busto

2005 ◽  
Vol 103 (19) ◽  
pp. 2639-2646 ◽  
Author(s):  
T. P. Iglesias * ◽  
J. M. Forniés-Marquina ◽  
B. De Cominges

1985 ◽  
Vol 31 (108) ◽  
pp. 163-170 ◽  
Author(s):  
Ari Sihvola ◽  
Ebbe Nyfors ◽  
Martti Tiuri

Abstract This paper discusses dielectric properties of snow according to various dielectric models and compares them with experimental results. The complex permittivity of wet snow is assumed to consist of two parts, being the sum of the permittivity of dry snow (a mixture of ice and air) and the excess permittivity due to liquid water (resulting from the dielectric mixture of water and air). In particular the effect of liquid water is considered. Exponential models and structure-dependent models based on mixture theories by Taylor and Tinga and others are applied. It is shown that the assumption that water inclusions have the form of either randomly oriented discs or needles, or of spheres do, not get empirical confirmation but the inclusions are preferably prolate ellipsoids (ellipticity 0.16) or oblate ellipsoids (ellipticity 0.12), dry snow being a dielectric mixture of randomly oriented disc-shaped ice particles and air.


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