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Epitaxy on substrates with hexagonal lattice symmetry
Thesis (DSc)--University of Pretoria, 1987.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2022
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| _version_ | 1867613463086366720 |
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| access_status_str | Open Access |
| author2 | Van der Merwe, J.H. |
| author_browse | Van der Merwe, J.H. |
| author_facet | Van der Merwe, J.H. |
| collection | Thesis |
| dc_rights_str_mv | © 2020 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. |
| description | Thesis (DSc)--University of Pretoria, 1987. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/85437 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:36:32.683Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/85437 Epitaxy on substrates with hexagonal lattice symmetry Van der Merwe, J.H. Braun, Max Willi Hermann UCTD Substrates hexagonal lattice symmetry Thesis (DSc)--University of Pretoria, 1987. A general description of epitaxy between thin films and substrates of any crystal symmetry was developed from a model in which both overgrowth and substrate are initially kept rigid (Chapter 3). The overgrowth-substrate interaction is described by Fourier series, usually truncated, defined on the surface reciprocal lattice vectors of the crystal faces in the interface (Chapter 2). Energy considerations lead directly to a criterion for the existence of epitaxial configurations which occur when a pair of surface reciprocal lattice vectors of the substrate and overgrowth coincide. This criterion is analogous to the von Laue criterion and Bragg equation in diffraction theory, and has a geometrical realization related to the Ewald construction. Generalized, the formulation allows the calculation of misfit strain, (Chapter 4) and the description of interfacial structures in terms of misfit dislocation arrays or verniers (Chapter 5) - the spacing, line sense and Burgers vectors are obtained from the reciprocal lattice for an interface between crystals of the most general and diverse symmetry. The most general structures can be treated with convenient unit cells by using structure factors. Parallel to the predictions from reciprocal space, the homogeneous misfit strain (Chapter 4), the interfacial atom positions after relaxation (Chapter 5) and misfit and strain energies (both chapters) were obtained by direct numerical minimization of the total interfacial energy of a large (1105 atoms) but finite system. Physics DSc Unrestricted 2022-05-17T11:21:16Z 2022-05-17T11:21:16Z 2021/09/15 1987 Thesis * https://repository.up.ac.za/handle/2263/85437 en © 2020 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria |
| spellingShingle | UCTD Substrates hexagonal lattice symmetry Epitaxy on substrates with hexagonal lattice symmetry |
| title | Epitaxy on substrates with hexagonal lattice symmetry |
| title_full | Epitaxy on substrates with hexagonal lattice symmetry |
| title_fullStr | Epitaxy on substrates with hexagonal lattice symmetry |
| title_full_unstemmed | Epitaxy on substrates with hexagonal lattice symmetry |
| title_short | Epitaxy on substrates with hexagonal lattice symmetry |
| title_sort | epitaxy on substrates with hexagonal lattice symmetry |
| topic | UCTD Substrates hexagonal lattice symmetry |
| url | https://repository.up.ac.za/handle/2263/85437 |