The effect of lattice periodicity on the electronic configuration near a metal surface

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dc.contributor.advisorWiles, G Gen_ZA
dc.contributor.advisorFrahn, W Een_ZA
dc.contributor.authorAndriotis, Antonios Nen_ZA
dc.date.accessioned2015-01-27T10:06:06Z
dc.date.available2015-01-27T10:06:06Z
dc.date.issued1976en_ZA
dc.descriptionIncludes bibliographical references.en_ZA
dc.description.abstractA method is developed for calculating single electron wave functions in a semi-infinite metal. The effect of the lattice periodicity is explicitly taken into account so that the solution in the far interior is consistent with the band structure of the infinite crystal. The solution is sufficiently general to include surface states. The single electron potentials are reconsidered and some new features are discussed. These include the elimination of the singular zero-order Fourier terms of the ion-electron and Hartree potentials which leads to the surface dipole barrier. Also a simple formula is derived for the exchange potential in the zero-order approximation which allows to calculate the exchange potential for wave vectors which have components of velocity parallel to the surface. The method is finally applied to a semi-infinite sodium crystal with a (001) orientation.en_ZA
dc.identifier.apacitationAndriotis, A. N. (1976). <i>The effect of lattice periodicity on the electronic configuration near a metal surface</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Physics. Retrieved from http://hdl.handle.net/11427/12330en_ZA
dc.identifier.chicagocitationAndriotis, Antonios N. <i>"The effect of lattice periodicity on the electronic configuration near a metal surface."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Physics, 1976. http://hdl.handle.net/11427/12330en_ZA
dc.identifier.citationAndriotis, A. 1976. The effect of lattice periodicity on the electronic configuration near a metal surface. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Andriotis, Antonios N AB - A method is developed for calculating single electron wave functions in a semi-infinite metal. The effect of the lattice periodicity is explicitly taken into account so that the solution in the far interior is consistent with the band structure of the infinite crystal. The solution is sufficiently general to include surface states. The single electron potentials are reconsidered and some new features are discussed. These include the elimination of the singular zero-order Fourier terms of the ion-electron and Hartree potentials which leads to the surface dipole barrier. Also a simple formula is derived for the exchange potential in the zero-order approximation which allows to calculate the exchange potential for wave vectors which have components of velocity parallel to the surface. The method is finally applied to a semi-infinite sodium crystal with a (001) orientation. DA - 1976 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1976 T1 - The effect of lattice periodicity on the electronic configuration near a metal surface TI - The effect of lattice periodicity on the electronic configuration near a metal surface UR - http://hdl.handle.net/11427/12330 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/12330
dc.identifier.vancouvercitationAndriotis AN. The effect of lattice periodicity on the electronic configuration near a metal surface. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Physics, 1976 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/12330en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Physicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherPhysicsen_ZA
dc.titleThe effect of lattice periodicity on the electronic configuration near a metal surfaceen_ZA
dc.typeDoctoral Thesis
dc.type.qualificationlevelDoctoral
dc.type.qualificationnamePhDen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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