Sponsor
Portland State University. Department of Physics
Date of Publication
1975
Document Type
Thesis
Degree Name
Master of Science (M.S.) in Physics
Department
Physics
Language
English
Subjects
Crystals -- Defects
DOI
10.15760/etd.2187
Physical Description
1 online resource (91 p.)
Abstract
We examine the problem of the dynamics of a hexagonal close packed crystal with a single substitutional impurity. The effects of the mass and the force constant changes due to the introduction of the impurity atom are taken into account assuming nearest neighbor interactions under the harmonic approximation. Using Green’s function and group theoretical methods, the equations of motion for the perturbed normal modes are obtained in an exact form. The calculations are performed by allowing for very general force constant changes which can have noncentral as well as central contributions. The analytical expressions obtained expressions obtained by Mannheim and Cohen for cubic systems.
Rights
In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/ This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
Persistent Identifier
http://archives.pdx.edu/ds/psu/14565
Recommended Citation
Karulkar, Pramod C., "The Dynamics of an HCP Crystal with a Substitutional Defect" (1975). Dissertations and Theses. Paper 2190.
https://doi.org/10.15760/etd.2187
Comments
A thesis submitted in partial fulfillment of the requirements for the degree of Mater of Science in Physics