- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- UBC Theses and Dissertations /
- A generalization of Bottcher's theory of the dielectric...
Open Collections
UBC Theses and Dissertations
UBC Theses and Dissertations
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
|
| Creator | |
| Publisher |
University of British Columbia
|
| Date Issued |
1951
|
| 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.
|
| Genre | |
| Type | |
| Language |
eng
|
| Date Available |
2012-03-01
|
| Provider |
Vancouver : University of British Columbia Library
|
| 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.
|
| DOI |
10.14288/1.0103787
|
| URI | |
| Degree (Theses) | |
| Program (Theses) | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
|
| Campus | |
| Scholarly Level |
Graduate
|
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
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.