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Title: Structural properties of amorphous materials
Author: Harrop, J. D.
Awarding Body: University of Cambridge
Current Institution: University of Cambridge
Date of Award: 2004
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The traditionally distinct fields of the structure of amorphous materials and time-frequency analysis are reviewed before time-frequency analysis is applied to the study of the diffraction data of amorphous materials for the first time. Several, general-purpose development in the field of wavelet-based time-frequency analysis, including new wavelets, are presented which were found to be necessary for the application of these methods to the study of diffraction data. A new representation of the diffraction data of amorphous materials is formulated in terms of the new method of time-frequency analysis. Additional new methods for the structural analysis of amorphous materials are also presented. These methods of analysis are applied to both experimentally-measured and computationally-simulated diffraction data for four different types of amorphous structure.  A detailed discussion is presented which examines various features found in the results of these analyses. In particular, the new representation of diffraction data is shown to be able to decompose the data over the real-reciprocal space plane. This is used to elucidate the existence of extended-range order in the amorphous structures, which is found to reproduce a simple functional form accurately in all cases. Additionally, different type of amorphous structure are shown to exhibit characteristic numbers of superimposed sets of these extended-range oscillations, which form the observed damped-density fluctuations. The relevance of existing mean-field theories is examined as a possible explanation for the functional form which we have observed empirically. Finally, conclusions are drawn based upon these results and suggestions are made for further work.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available