An investigation by electron paramagnetic resonance of the Jahn-Teller effect in LiNbO₃¿:Cu²+

dc.contributor.advisorEstle, Thomas L.en_US
dc.creatorSetser, George Gordonen_US
dc.date.accessioned2018-12-18T21:17:48Zen_US
dc.date.available2018-12-18T21:17:48Zen_US
dc.date.issued1974en_US
dc.descriptionText includes handwritten formulasen_US
dc.description.abstractEPR 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.en_US
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent211 ppen_US
dc.identifier.callnoThesis Phys. 1974 Setseren_US
dc.identifier.citationSetser, George Gordon. "An investigation by electron paramagnetic resonance of the Jahn-Teller effect in LiNbO₃¿:Cu²+." (1974) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/104133">https://hdl.handle.net/1911/104133</a>.en_US
dc.identifier.digitalRICE1760en_US
dc.identifier.urihttps://hdl.handle.net/1911/104133en_US
dc.language.isoengen_US
dc.rightsCopyright 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.en_US
dc.titleAn investigation by electron paramagnetic resonance of the Jahn-Teller effect in LiNbO₃¿:Cu²+en_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentPhysicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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