{"id":{"repo_id":"ohiolink","oai_identifier":"oai:etd.ohiolink.edu:toledo1356809390"},"canonical_url":"https://search.dev.ndltd.org/etd/ohiolink/oai:etd.ohiolink.edu:toledo1356809390","repository":{"repo_id":"ohiolink","name":"OhioLINK","base_url":"https://etd.ohiolink.edu/acprod/odb_etd/ws/oai/oai"},"display":{"title":"Semi-Empirical Lifetimes for High-Energy Rydberg States of ¹³³Cs Neutral Cesium in a Blackbody Radiation Field","abstract":"Natural and effective lifetimes have been calculated semi-empirically for high-energy excited states of neutral Cesium, using wave functions obtained through direct inward numerical integration of the Schrödinger equation with a central potential modeled by applying a Norcross polarizability correction to the standard Hartree-Slater core potential. A majority of experimental studies of Cesium lifetimes have been carried out at higher temperatures which allow thermal radiation to significantly deplete the lifetime of states with principal quantum number greater than. n≈16 Therefore we have also explicitly included blackbody-induced transitions in our calculations, in order to evaluate the lifetimes at temperatures of 0K, 350K, and 600K. States with principal quantum numbers n = 6-40 and orbital angular momentum quantum numbers l = 0-4 were considered. We find good agreement between our calculations and experimental results across a range of energies, angular momenta, and temperatures, but identify specific areas for continued research. Our results also indicate that at 600K the lifetime is significantly reduced compared to the lifetime at absolute zero.Our discussion includes a stepwise derivation of the unrestricted Hartree-Fock self-consistent field (SCF) method, the radial Schrödinger equation, and the Numerov method of numerical integration. We present a table of select numerical results from this calculation, along with a comprehensive list of experimental data acquired from literature between 1959 and 2011, and theoretical data acquired from the literature from 1981 through 2011.","abstract_html":"Natural and effective lifetimes have been calculated semi-empirically for high-energy excited states of neutral Cesium, using wave functions obtained through direct inward numerical integration of the Schrödinger equation with a central potential modeled by applying a Norcross polarizability correction to the standard Hartree-Slater core potential. A majority of experimental studies of Cesium lifetimes have been carried out at higher temperatures which allow thermal radiation to significantly deplete the lifetime of states with principal quantum number greater than. n≈16 Therefore we have also explicitly included blackbody-induced transitions in our calculations, in order to evaluate the lifetimes at temperatures of 0K, 350K, and 600K. States with principal quantum numbers n = 6-40 and orbital angular momentum quantum numbers l = 0-4 were considered. We find good agreement between our calculations and experimental results across a range of energies, angular momenta, and temperatures, but identify specific areas for continued research. Our results also indicate that at 600K the lifetime is significantly reduced compared to the lifetime at absolute zero.Our discussion includes a stepwise derivation of the unrestricted Hartree-Fock self-consistent field (SCF) method, the radial Schrödinger equation, and the Numerov method of numerical integration. We present a table of select numerical results from this calculation, along with a comprehensive list of experimental data acquired from literature between 1959 and 2011, and theoretical data acquired from the literature from 1981 through 2011.","abstract_has_math":false,"creators":["Truxon, James M."],"institution":"University of Toledo","degree_name":"Master of Science","degree_level":"masters","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Theodosiou, Constantine","Amar, Jacques"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013-08-01","date_published":"2013-08-01","updated_at":"2026-07-24T03:36:23Z","subjects":["Physics","cesium","cs","rydberg states","semi-empirical","atomic lifetimes","black-body radiation"],"languages":["English"],"rights":["unrestricted","This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://rave.ohiolink.edu/etdc/view?acc_num=toledo1356809390","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Theodosiou, Constantine","Amar, Jacques"]},{"key":"dc:creator","label":"Author","values":["Truxon, James M."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2013-08-01"]},{"key":"dc:publisher","label":"Institution","values":["University of Toledo / OhioLINK"]},{"key":"dc:type","label":"Dc Type","values":["Electronic Thesis or Dissertation"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Toledo"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Physics","cesium","cs","rydberg states","semi-empirical","atomic lifetimes","black-body radiation"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]},{"key":"dc:rights","label":"Dc Rights","values":["unrestricted","This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://rave.ohiolink.edu/etdc/view?acc_num=toledo1356809390"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Natural and effective lifetimes have been calculated semi-empirically for high-energy excited states of neutral Cesium, using wave functions obtained through direct inward numerical integration of the Schrödinger equation with a central potential modeled by applying a Norcross polarizability correction to the standard Hartree-Slater core potential. A majority of experimental studies of Cesium lifetimes have been carried out at higher temperatures which allow thermal radiation to significantly deplete the lifetime of states with principal quantum number greater than. n≈16 Therefore we have also explicitly included blackbody-induced transitions in our calculations, in order to evaluate the lifetimes at temperatures of 0K, 350K, and 600K. States with principal quantum numbers n = 6-40 and orbital angular momentum quantum numbers l = 0-4 were considered. We find good agreement between our calculations and experimental results across a range of energies, angular momenta, and temperatures, but identify specific areas for continued research. Our results also indicate that at 600K the lifetime is significantly reduced compared to the lifetime at absolute zero.Our discussion includes a stepwise derivation of the unrestricted Hartree-Fock self-consistent field (SCF) method, the radial Schrödinger equation, and the Numerov method of numerical integration. We present a table of select numerical results from this calculation, along with a comprehensive list of experimental data acquired from literature between 1959 and 2011, and theoretical data acquired from the literature from 1981 through 2011."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf","p.86","1.87 MB"]},{"key":"dc:title","label":"Title","values":["Semi-Empirical Lifetimes for High-Energy Rydberg States of ¹³³Cs Neutral Cesium in a Blackbody Radiation Field"]}]}],"canonical_facts":{"dc:contributor":["Theodosiou, Constantine","Amar, Jacques"],"dc:creator":["Truxon, James M."],"dc:date":["2013-08-01"],"dc:description":["Natural and effective lifetimes have been calculated semi-empirically for high-energy excited states of neutral Cesium, using wave functions obtained through direct inward numerical integration of the Schrödinger equation with a central potential modeled by applying a Norcross polarizability correction to the standard Hartree-Slater core potential. A majority of experimental studies of Cesium lifetimes have been carried out at higher temperatures which allow thermal radiation to significantly deplete the lifetime of states with principal quantum number greater than. n≈16 Therefore we have also explicitly included blackbody-induced transitions in our calculations, in order to evaluate the lifetimes at temperatures of 0K, 350K, and 600K. States with principal quantum numbers n = 6-40 and orbital angular momentum quantum numbers l = 0-4 were considered. We find good agreement between our calculations and experimental results across a range of energies, angular momenta, and temperatures, but identify specific areas for continued research. Our results also indicate that at 600K the lifetime is significantly reduced compared to the lifetime at absolute zero.Our discussion includes a stepwise derivation of the unrestricted Hartree-Fock self-consistent field (SCF) method, the radial Schrödinger equation, and the Numerov method of numerical integration. We present a table of select numerical results from this calculation, along with a comprehensive list of experimental data acquired from literature between 1959 and 2011, and theoretical data acquired from the literature from 1981 through 2011."],"dc:format":["application/pdf","p.86","1.87 MB"],"dc:identifier":["http://rave.ohiolink.edu/etdc/view?acc_num=toledo1356809390"],"dc:language":["English"],"dc:publisher":["University of Toledo / OhioLINK"],"dc:rights":["unrestricted","This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws."],"dc:subject":["Physics","cesium","cs","rydberg states","semi-empirical","atomic lifetimes","black-body radiation"],"dc:title":["Semi-Empirical Lifetimes for High-Energy Rydberg States of ¹³³Cs Neutral Cesium in a Blackbody Radiation Field"],"dc:type":["Electronic Thesis or Dissertation"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["masters"],"thesis:degree_name":["Master of Science"],"thesis:institution_name":["University of Toledo"]},"updated_at":"2026-07-24T03:36:23Z"}