{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/25571"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/25571","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Studies in the electronic structure of matter","abstract":"CHAPTER ONE: KLL Auger transition rates for helium are computed using simple atomic orbital wavefunctions which take into account the difference in average electron-electron repulsion of initial and final states. The results are consistent with transition rates computed by other authors using a variety of many-electron techniques. It is suggested that wavefunctions determined in the manner described provide a useful representation of the autoionizing state within the first Bohr radius. CHAPTER TWO: A method for extracting atomic pseudo-potentials from photoelectron angular distributions is described and applied photoionization of the outermost p shells of Ar, Kr, and Xe and to the 4d shell of Xe. The pseudopotentials obtained reproduce the data, and also predict accurate cross sections and phase shifts for photoelectron energies up to 100 eV. It .is suggested that the pseudopotentials aptly mimic the effects of intrashell electron-electron correlations in the photoionization process. CHAPTER THREE: The extended Huckel theory is applied to the nitrogen trap in GaAs and GaP. Perfect crystal band structures are computed and are shown to be in reasonable agreement with those computed with empirical pseudopotentials. Nitrogen impurity levels in GaAs and GaP are computed using an extended Huckel cluster model. In each case the model pre-diets two states within the band gap, in contrast to experiment which detects one impurity state in GaP and none in GaAs. It is suggested that the choice of cluster used unrealistically concentrates states near the conduction band edge on the central atom.","abstract_html":"CHAPTER ONE: KLL Auger transition rates for helium are computed using simple atomic orbital wavefunctions which take into account the difference in average electron-electron repulsion of initial and final states. The results are consistent with transition rates computed by other authors using a variety of many-electron techniques. It is suggested that wavefunctions determined in the manner described provide a useful representation of the autoionizing state within the first Bohr radius. CHAPTER TWO: A method for extracting atomic pseudo-potentials from photoelectron angular distributions is described and applied photoionization of the outermost p shells of Ar, Kr, and Xe and to the 4d shell of Xe. The pseudopotentials obtained reproduce the data, and also predict accurate cross sections and phase shifts for photoelectron energies up to 100 eV. It .is suggested that the pseudopotentials aptly mimic the effects of intrashell electron-electron correlations in the photoionization process. CHAPTER THREE: The extended Huckel theory is applied to the nitrogen trap in GaAs and GaP. Perfect crystal band structures are computed and are shown to be in reasonable agreement with those computed with empirical pseudopotentials. Nitrogen impurity levels in GaAs and GaP are computed using an extended Huckel cluster model. In each case the model pre-diets two states within the band gap, in contrast to experiment which detects one impurity state in GaP and none in GaAs. It is suggested that the choice of cluster used unrealistically concentrates states near the conduction band edge on the central atom.","abstract_has_math":false,"creators":["Miller, Donald Lynn"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Dow, J.D."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-06-29T15:53:28Z","date_published":"2011-06-29T15:53:28Z","updated_at":"2026-07-22T22:25:24Z","subjects":["KLL Auger transition","atomic pseudopotentials","Huckel theory","electronic structure of matter"],"languages":["en"],"rights":["1979 Donald Lynn Miller"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["358272"],"render_values":[{"text":"358272","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/25571","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Dow, J.D."]},{"key":"dc:creator","label":"Author","values":["Miller, Donald Lynn"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-06-29T15:53:28Z","10000-01-01","1979"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation / Thesis","text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["KLL Auger transition","atomic pseudopotentials","Huckel theory","electronic structure of matter"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1979 Donald Lynn Miller"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["358272","http://hdl.handle.net/2142/25571"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["CHAPTER ONE: KLL Auger transition rates for helium are computed using simple atomic orbital wavefunctions which take into account the difference in average electron-electron repulsion of initial and final states. The results are consistent with transition rates computed by other authors using a variety of many-electron techniques. It is suggested that wavefunctions determined in the manner described provide a useful representation of the autoionizing state within the first Bohr radius. CHAPTER TWO: A method for extracting atomic pseudo-potentials from photoelectron angular distributions is described and applied photoionization of the outermost p shells of Ar, Kr, and Xe and to the 4d shell of Xe. The pseudopotentials obtained reproduce the data, and also predict accurate cross sections and phase shifts for photoelectron energies up to 100 eV. It .is suggested that the pseudopotentials aptly mimic the effects of intrashell electron-electron correlations in the photoionization process. CHAPTER THREE: The extended Huckel theory is applied to the nitrogen trap in GaAs and GaP. Perfect crystal band structures are computed and are shown to be in reasonable agreement with those computed with empirical pseudopotentials. Nitrogen impurity levels in GaAs and GaP are computed using an extended Huckel cluster model. In each case the model pre-diets two states within the band gap, in contrast to experiment which detects one impurity state in GaP and none in GaAs. It is suggested that the choice of cluster used unrealistically concentrates states near the conduction band edge on the central atom.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-29T15:53:28Z No. of bitstreams: 1 1979_miller.pdf: 5636689 bytes, checksum: 10bdbaac7d43f0470aa5fab7dc0ab651 (MD5)","Made available in DSpace on 2011-06-29T15:53:28Z (GMT). No. of bitstreams: 1 1979_miller.pdf: 5636689 bytes, checksum: 10bdbaac7d43f0470aa5fab7dc0ab651 (MD5) Previous issue date: 1979","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-06-29T15:53:28Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:19:27-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["Studies in the electronic structure of matter"]}]}],"canonical_facts":{"dc:contributor":["Dow, J.D."],"dc:creator":["Miller, Donald Lynn"],"dc:date":["2011-06-29T15:53:28Z","10000-01-01","1979"],"dc:description":["CHAPTER ONE: KLL Auger transition rates for helium are computed using simple atomic orbital wavefunctions which take into account the difference in average electron-electron repulsion of initial and final states. The results are consistent with transition rates computed by other authors using a variety of many-electron techniques. It is suggested that wavefunctions determined in the manner described provide a useful representation of the autoionizing state within the first Bohr radius. CHAPTER TWO: A method for extracting atomic pseudo-potentials from photoelectron angular distributions is described and applied photoionization of the outermost p shells of Ar, Kr, and Xe and to the 4d shell of Xe. The pseudopotentials obtained reproduce the data, and also predict accurate cross sections and phase shifts for photoelectron energies up to 100 eV. It .is suggested that the pseudopotentials aptly mimic the effects of intrashell electron-electron correlations in the photoionization process. CHAPTER THREE: The extended Huckel theory is applied to the nitrogen trap in GaAs and GaP. Perfect crystal band structures are computed and are shown to be in reasonable agreement with those computed with empirical pseudopotentials. Nitrogen impurity levels in GaAs and GaP are computed using an extended Huckel cluster model. In each case the model pre-diets two states within the band gap, in contrast to experiment which detects one impurity state in GaP and none in GaAs. It is suggested that the choice of cluster used unrealistically concentrates states near the conduction band edge on the central atom.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-29T15:53:28Z No. of bitstreams: 1 1979_miller.pdf: 5636689 bytes, checksum: 10bdbaac7d43f0470aa5fab7dc0ab651 (MD5)","Made available in DSpace on 2011-06-29T15:53:28Z (GMT). No. of bitstreams: 1 1979_miller.pdf: 5636689 bytes, checksum: 10bdbaac7d43f0470aa5fab7dc0ab651 (MD5) Previous issue date: 1979","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-06-29T15:53:28Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:19:27-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"],"dc:identifier":["358272","http://hdl.handle.net/2142/25571"],"dc:language":["en"],"dc:rights":["1979 Donald Lynn Miller"],"dc:subject":["KLL Auger transition","atomic pseudopotentials","Huckel theory","electronic structure of matter"],"dc:title":["Studies in the electronic structure of matter"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."]},"updated_at":"2026-07-22T22:25:24Z"}