{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/23979"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/23979","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Spin-lattice relaxation of tetravalent protactinium in a cubic crystal","abstract":"Restriction data tranferred 2014-07-01T11:12:54-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","abstract_html":"Restriction data tranferred 2014-07-01T11:12:54-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","abstract_has_math":false,"creators":["Raubenheimer, Louis Johannes"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Stapleton, H.J."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-20T15:06:46Z","date_published":"2011-05-20T15:06:46Z","updated_at":"2026-07-22T22:25:23Z","subjects":["spin-lattice relaxation","tetravalent protactinium","cubic crystal","electrostatic crystal potential","actinide ion"],"languages":["en"],"rights":["1965 Louis Johannes Raubenheimer"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["6187309"],"render_values":[{"text":"6187309","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/23979","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Stapleton, H.J."]},{"key":"dc:creator","label":"Author","values":["Raubenheimer, Louis Johannes"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-20T15:06:46Z","10000-01-01","1965"]},{"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":["spin-lattice relaxation","tetravalent protactinium","cubic crystal","electrostatic crystal potential","actinide ion"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1965 Louis Johannes Raubenheimer"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["6187309","http://hdl.handle.net/2142/23979"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Restriction data tranferred 2014-07-01T11:12:54-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only","\"The paramagnetic relaxation time is investtigated for Pa 4+ in the cubic matrix Cs2 (Zr\"\"Pa)C16 between 1.4°K and 4\"\".2°K, using the pulse saturation method. A theory, developed for materials in which the electrostatic crystal potential is described by a few crystal field parameters, has been used quite successfully in predicting the relaxation behavior of salts containing rare earth ions. It is the purpose of this study to determine whether, the same theory can be extended to an actinide ion, where the effects of the spin-orbit interaction are comparable to the effects' of the crystal field interaction. Experimental data fit the expression llTl = ADT + CDT9 , with AD = 3.5 + 0.7 sec -1 deg -1 and C~ = (5.1 + 1.5) x 10 -5 sec -1d eg -9 For the purpose of calculating llTl theoretically, static . 0 4> o( 6> crystal fl.eld parameters A4 < rand A6 r are used to predict the corresponding dynamic parameters a: < r 4 > and a~<r6>. Second degree coupling coefficients a~<r2>are treated in terms of a single parameter a~~r2~ which is consid~red unknown in the calculati6rts, as is the phonon velocity, v. A comparison of the resulting theoretical expressions for AD and C' withithe corresponding experimental values rE:!sults in two non-linear equations in a~ <r2) and v. Thes.e equations are found to be consistent with a measured phonon velocity of 4.5 x 10 5 cm/sec and a value of a0 2> -1 2 <r == 24,000 cm , calculated from a dynamic point chargEl model consistent with the values of a4o 4> 0 < 6 > < rand a6 r . In Appendix A the relaxation behavior of the rare earth ion, Ho' 3+ , in yttrium ethyl sulphate ~\"\"s treated. Experimental results show a dependence of l/Tl on the concentration of holmium ions. This may be explained by assuming the relaxation to be phonon-limited.\"","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-05-20T15:06:46Z No. of bitstreams: 1 1965_raubenheimer.pdf: 3563531 bytes, checksum: 92e0bde2c4d7a517dfa10feb30a02b3b (MD5)","Made available in DSpace on 2011-05-20T15:06:46Z (GMT). No. of bitstreams: 1 1965_raubenheimer.pdf: 3563531 bytes, checksum: 92e0bde2c4d7a517dfa10feb30a02b3b (MD5) Previous issue date: 1965","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-05-20T15:06:46Z Item is restricted indefinitely."]},{"key":"dc:title","label":"Title","values":["Spin-lattice relaxation of tetravalent protactinium in a cubic crystal"]}]}],"canonical_facts":{"dc:contributor":["Stapleton, H.J."],"dc:creator":["Raubenheimer, Louis Johannes"],"dc:date":["2011-05-20T15:06:46Z","10000-01-01","1965"],"dc:description":["Restriction data tranferred 2014-07-01T11:12:54-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only","\"The paramagnetic relaxation time is investtigated for Pa 4+ in the cubic matrix Cs2 (Zr\"\"Pa)C16 between 1.4°K and 4\"\".2°K, using the pulse saturation method. A theory, developed for materials in which the electrostatic crystal potential is described by a few crystal field parameters, has been used quite successfully in predicting the relaxation behavior of salts containing rare earth ions. It is the purpose of this study to determine whether, the same theory can be extended to an actinide ion, where the effects of the spin-orbit interaction are comparable to the effects' of the crystal field interaction. Experimental data fit the expression llTl = ADT + CDT9 , with AD = 3.5 + 0.7 sec -1 deg -1 and C~ = (5.1 + 1.5) x 10 -5 sec -1d eg -9 For the purpose of calculating llTl theoretically, static . 0 4> o( 6> crystal fl.eld parameters A4 < rand A6 r are used to predict the corresponding dynamic parameters a: < r 4 > and a~<r6>. Second degree coupling coefficients a~<r2>are treated in terms of a single parameter a~~r2~ which is consid~red unknown in the calculati6rts, as is the phonon velocity, v. A comparison of the resulting theoretical expressions for AD and C' withithe corresponding experimental values rE:!sults in two non-linear equations in a~ <r2) and v. Thes.e equations are found to be consistent with a measured phonon velocity of 4.5 x 10 5 cm/sec and a value of a0 2> -1 2 <r == 24,000 cm , calculated from a dynamic point chargEl model consistent with the values of a4o 4> 0 < 6 > < rand a6 r . In Appendix A the relaxation behavior of the rare earth ion, Ho' 3+ , in yttrium ethyl sulphate ~\"\"s treated. Experimental results show a dependence of l/Tl on the concentration of holmium ions. This may be explained by assuming the relaxation to be phonon-limited.\"","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-05-20T15:06:46Z No. of bitstreams: 1 1965_raubenheimer.pdf: 3563531 bytes, checksum: 92e0bde2c4d7a517dfa10feb30a02b3b (MD5)","Made available in DSpace on 2011-05-20T15:06:46Z (GMT). No. of bitstreams: 1 1965_raubenheimer.pdf: 3563531 bytes, checksum: 92e0bde2c4d7a517dfa10feb30a02b3b (MD5) Previous issue date: 1965","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-05-20T15:06:46Z Item is restricted indefinitely."],"dc:identifier":["6187309","http://hdl.handle.net/2142/23979"],"dc:language":["en"],"dc:rights":["1965 Louis Johannes Raubenheimer"],"dc:subject":["spin-lattice relaxation","tetravalent protactinium","cubic crystal","electrostatic crystal potential","actinide ion"],"dc:title":["Spin-lattice relaxation of tetravalent protactinium in a cubic crystal"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."]},"updated_at":"2026-07-22T22:25:23Z"}