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A generalization of Bottcher's theory of the dielectric constant of liquids Frood, David Gordon
Abstract
A theory of the dielectric constant of polar liquids has been developed by Bottcher on the basis of a simple molecular model. A molecule is represented by a sphere bearing a polarizable mathematical (point) dipole at its centre, the surroundings being treated as a homogeneous substance with the macroscopic dielectric constant. Notwithstanding its simplicity, this model gives a remarkably satisfactory description of the experimental data. In the thesis it is shown that Bottcher’s final formula still holds when the molecules are represented by a sphere with a finite dipole of arbitrary position and direction, thus contributing to the understanding as to why Bottcher’s theory is as satisfactory as it is. Finally, the energy of a molecule containing a finite arbitrarily located dipole is calculated and it is found that even for small eccentricities, the energy is considerably different from that calculated by Onsager for a point dipole at the centre of a sphere. It is indicated that this generalization helps to explain the difference between the observed and predicted results on certain polar molecules.
Item Metadata
Title |
A generalization of Bottcher's theory of the dielectric constant of liquids
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1951
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Description |
A theory of the dielectric constant of polar liquids has been developed by Bottcher on the basis of a simple molecular model. A molecule is represented by a sphere bearing a polarizable mathematical (point) dipole at its centre, the surroundings being treated as a homogeneous substance with the macroscopic dielectric constant. Notwithstanding its simplicity, this model gives a remarkably satisfactory description of the experimental data. In the thesis it is shown that Bottcher’s final formula still holds when the molecules are represented by a sphere with a finite dipole of arbitrary position and direction, thus contributing to the understanding as to why Bottcher’s theory is as satisfactory as it is.
Finally, the energy of a molecule containing a finite arbitrarily located dipole is calculated and it is found that even for small eccentricities, the energy is considerably different from that calculated by Onsager for a point dipole at the centre of a sphere. It is indicated that this generalization helps to explain the difference between the observed and predicted results on certain polar molecules.
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Genre | |
Type | |
Language |
eng
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Date Available |
2012-03-01
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0103787
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URI | |
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Affiliation | |
Degree Grantor |
University of British Columbia
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.