dc.contributor.author |
Abou Khalil, Ali Mohammad, |
dc.date |
2013 |
dc.date.accessioned |
2015-02-03T10:46:47Z |
dc.date.available |
2015-02-03T10:46:47Z |
dc.date.issued |
2013 |
dc.date.submitted |
2013 |
dc.identifier.other |
b17917323 |
dc.identifier.uri |
http://hdl.handle.net/10938/9893 |
dc.description |
Thesis (M.S.)-- American University of Beirut, Department of Physics, 2013. |
dc.description |
Advisor : Dr. Michael Kazan, Assistant Professor, Physics ; Committee Members : Dr. Malek Tabbal, Professor, Physics ; Dr. Leonid Klushin, Professor, Physics. |
dc.description |
Includes bibliographical references (leaves 60-62) |
dc.description.abstract |
In this thesis, we developed a model for the lattice thermal conductivity (κ). For the calculation of κ for a single crystal over a full temperature range, the model uses the full Callaway's solution to Boltzmann equation that discriminates between the physical nature of the various phonon mechanisms. However, it uses temperature-dependent lattice vibration parameters, phonon group velocity calculated from a dynamical matrix, and intrinsic phonon relaxation time calculated from Fermi's golden rule. With these modifications, the developed model accounts for the dependence of κ on the crystallographic direction over a wide temperature range. For the calculation of the effect of phonon boundary scattering, the model uses the relationship established by Casimir. This relation considers a diffuse scattering, i.e., it ignores the dependence of the wave vector on the phonon-boundary scattering. The model considers the localized mass fluctuation as a perturbation Hamiltonian to account for the effect of point defect on κ. The developed model is applied to calculate the effects of crystallographic orientation and isotope composition on κ of Ge. A satisfactory agreement is obtained between theory and experiment. |
dc.format.extent |
viii, 62 leaves : illustrations ; 30 cm |
dc.language.iso |
eng |
dc.relation.ispartof |
Theses, Dissertations, and Projects |
dc.subject.classification |
T:005938 AUBNO |
dc.subject.lcsh |
Interpolation. |
dc.subject.lcsh |
Lattice dynamics. |
dc.subject.lcsh |
Heat -- Conduction. |
dc.subject.lcsh |
Semiconductors -- Thermal properties. |
dc.subject.lcsh |
Thermal conductivity. |
dc.subject.lcsh |
Phonons. |
dc.subject.lcsh |
Vibration. |
dc.title |
Interpolation between linearized and atomistic models for accurate calculation of the lattice thermal conductivity in the full temperature range - |
dc.type |
Thesis |
dc.contributor.department |
American University of Beirut. Faculty of Arts and Sciences. Department of Physics. |