{"id":{"repo_id":"rice","oai_identifier":"oai:repository.rice.edu:1911/104133"},"canonical_url":"https://search.dev.ndltd.org/etd/rice/oai:repository.rice.edu:1911/104133","repository":{"repo_id":"rice","name":"Rice University","base_url":"https://repository.rice.edu/server/oai/request"},"display":{"title":"An investigation by electron paramagnetic resonance of the Jahn-Teller effect in LiNbO₃¿:Cu²+","abstract":"EPR spectra for copper doped single crystals of LiNbO have been studied at temperatures from 1.3K to 133K. Copper, a 3d ion configuration, substitutes for one of the cations (site symmetry of C3) as Cu+. As a result of coupling to lattice vibrations, the ground manifold consists of a doubly degenerate vibronic ground state and a nearby singlet. An affective Hamiltonian that Includes the strain, Zeeman, and hyperflne interactions is formulated for ground manifolds of* l) doubly degenerate ground state, 2) doubly degenerate ground state with a singlet nearby, and 3) an accidentally degenerate triplet composed of a doublet and singlet. Further, an effective Hamiltonian (call it Hamiltonian number 4) for defect association is also formulated. The eigenvalue problems for these four effective Hamiltonians are solved using perturbation techniques and their predictions are compared to the EPR spectra. Because of the observed line intensities the spectra appears to fit most closely case 2), the so-called intermediate JahnTeller effect. High frequency EPR spectra must be obtained before Hamiltonians 3) and 4) can be entirely rulled out. Particular attention is given to the theoretical predictions of Hamiltonian 1) (the dynamic Jahn-Teller effective Hamiltonian) in which new spectral possibilities are presented. These new anisotropy features are shown to be a generalization of previous analyses.","abstract_html":"EPR spectra for copper doped single crystals of LiNbO have been studied at temperatures from 1.3K to 133K. Copper, a 3d ion configuration, substitutes for one of the cations (site symmetry of C3) as Cu+. As a result of coupling to lattice vibrations, the ground manifold consists of a doubly degenerate vibronic ground state and a nearby singlet. An affective Hamiltonian that Includes the strain, Zeeman, and hyperflne interactions is formulated for ground manifolds of* l) doubly degenerate ground state, 2) doubly degenerate ground state with a singlet nearby, and 3) an accidentally degenerate triplet composed of a doublet and singlet. Further, an effective Hamiltonian (call it Hamiltonian number 4) for defect association is also formulated. The eigenvalue problems for these four effective Hamiltonians are solved using perturbation techniques and their predictions are compared to the EPR spectra. Because of the observed line intensities the spectra appears to fit most closely case 2), the so-called intermediate JahnTeller effect. High frequency EPR spectra must be obtained before Hamiltonians 3) and 4) can be entirely rulled out. Particular attention is given to the theoretical predictions of Hamiltonian 1) (the dynamic Jahn-Teller effective Hamiltonian) in which new spectral possibilities are presented. These new anisotropy features are shown to be a generalization of previous analyses.","abstract_has_math":false,"creators":["Setser, George Gordon"],"institution":"Rice University","degree_name":"Master of Arts","degree_level":"Masters","degree_discipline":"Natural Sciences","degree_department":null,"school":null,"contributors":[],"advisors":["Estle, Thomas L."],"committee_chairs":[],"committee_members":[],"year":1974,"date_issued":"1974","date_published":"1974","updated_at":"2026-07-24T04:10:15Z","subjects":[],"languages":["eng"],"rights":["Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/1911/104133","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Estle, Thomas L."]},{"key":"dc:creator","label":"Author","values":["Setser, George Gordon"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-12-18T21:17:48Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2018-12-18T21:17:48Z"]},{"key":"dc:date.issued","label":"Date","values":["1974"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Natural Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Arts"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Rice University"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/1911/104133"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Text includes handwritten formulas"]},{"key":"dc:description.abstract","label":"Abstract","values":["EPR spectra for copper doped single crystals of LiNbO have been studied at temperatures from 1.3K to 133K. Copper, a 3d ion configuration, substitutes for one of the cations (site symmetry of C3) as Cu+. As a result of coupling to lattice vibrations, the ground manifold consists of a doubly degenerate vibronic ground state and a nearby singlet. An affective Hamiltonian that Includes the strain, Zeeman, and hyperflne interactions is formulated for ground manifolds of* l) doubly degenerate ground state, 2) doubly degenerate ground state with a singlet nearby, and 3) an accidentally degenerate triplet composed of a doublet and singlet. Further, an effective Hamiltonian (call it Hamiltonian number 4) for defect association is also formulated. The eigenvalue problems for these four effective Hamiltonians are solved using perturbation techniques and their predictions are compared to the EPR spectra. Because of the observed line intensities the spectra appears to fit most closely case 2), the so-called intermediate JahnTeller effect. High frequency EPR spectra must be obtained before Hamiltonians 3) and 4) can be entirely rulled out. Particular attention is given to the theoretical predictions of Hamiltonian 1) (the dynamic Jahn-Teller effective Hamiltonian) in which new spectral possibilities are presented. These new anisotropy features are shown to be a generalization of previous analyses."]},{"key":"dc:title","label":"Title","values":["An investigation by electron paramagnetic resonance of the Jahn-Teller effect in LiNbO₃¿:Cu²+"]}]}],"canonical_facts":{"dc:contributor.advisor":["Estle, Thomas L."],"dc:creator":["Setser, George Gordon"],"dc:date.accessioned":["2018-12-18T21:17:48Z"],"dc:date.available":["2018-12-18T21:17:48Z"],"dc:date.issued":["1974"],"dc:description":["Text includes handwritten formulas"],"dc:description.abstract":["EPR spectra for copper doped single crystals of LiNbO have been studied at temperatures from 1.3K to 133K. Copper, a 3d ion configuration, substitutes for one of the cations (site symmetry of C3) as Cu+. As a result of coupling to lattice vibrations, the ground manifold consists of a doubly degenerate vibronic ground state and a nearby singlet. An affective Hamiltonian that Includes the strain, Zeeman, and hyperflne interactions is formulated for ground manifolds of* l) doubly degenerate ground state, 2) doubly degenerate ground state with a singlet nearby, and 3) an accidentally degenerate triplet composed of a doublet and singlet. Further, an effective Hamiltonian (call it Hamiltonian number 4) for defect association is also formulated. The eigenvalue problems for these four effective Hamiltonians are solved using perturbation techniques and their predictions are compared to the EPR spectra. Because of the observed line intensities the spectra appears to fit most closely case 2), the so-called intermediate JahnTeller effect. High frequency EPR spectra must be obtained before Hamiltonians 3) and 4) can be entirely rulled out. Particular attention is given to the theoretical predictions of Hamiltonian 1) (the dynamic Jahn-Teller effective Hamiltonian) in which new spectral possibilities are presented. These new anisotropy features are shown to be a generalization of previous analyses."],"dc:identifier.uri":["https://hdl.handle.net/1911/104133"],"dc:language.iso":["eng"],"dc:rights":["Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder."],"dc:title":["An investigation by electron paramagnetic resonance of the Jahn-Teller effect in LiNbO₃¿:Cu²+"],"dc:type":["Thesis"],"thesis:degree_discipline":["Natural Sciences"],"thesis:degree_level":["Masters"],"thesis:degree_name":["Master of Arts"],"thesis:institution_name":["Rice University"]},"updated_at":"2026-07-24T04:10:15Z"}