{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/81910"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/81910","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"The Effect of Composition on the High-Pressure Behavior of Rare-Earth Phosphate Minerals","abstract":"A comprehensive study on the effect of composition on the structural and elastic properties of MPO4 (M = Ce3+, Gd3+, Tb3+, Y3+, Sc3+) compounds has been completed. CePO4 and GdPO4 are isostructural with monazite (P21/n), and TbPO4, YPO4, and ScPO4, are isostructural with xenotime (I41/amd). Raman spectra are consistent with previous studies and high-pressure spectra showed no phase transitions up to 10 GPa under hydrostatic conditions. The spectra were used to develop Kieffer-type lattice vibrational models to calculate heat capacities of CePO4 and YPO4 and the results lie within 1-3% of experimental values. Equations of state were calculated from high-pressure single-crystal X-ray diffraction data. Bulk moduli (K0) determined from a 3rd-order Birch-Murnaghan equation of state are: 109(3) GPa for CePO4, 128.1(8) GPa for GdPO4, 141(1) GPa for TbPO4 and 166(1) GPa for ScPO4. The inverse relationship observed between K0 and the ionic radius of the RE3+ is shown to be linear. This equation can be used to predict K0 for other rare-earth phosphates. Comparison of these studies, performed under hydrostatic conditions, with previous studies show that MPO4 structures are sensitive to shear stresses created from non-hydrostatic environments. The first structural study of a monazite, GdPO4, is also reported. Compression mechanisms are comprised of \"squishing\" the GdO9 polyhedra and inter-polyhedral movement. This study and the axial compressibility data for Ce-, Tb-, Gd- and ScPO4 suggest that the compression mechanisms favored by MPO4 compounds are those which remain rigid parallel to polyhedral chains.","abstract_html":"A comprehensive study on the effect of composition on the structural and elastic properties of MPO4 (M = Ce3+, Gd3+, Tb3+, Y3+, Sc3+) compounds has been completed. CePO4 and GdPO4 are isostructural with monazite (P21/n), and TbPO4, YPO4, and ScPO4, are isostructural with xenotime (I41/amd). Raman spectra are consistent with previous studies and high-pressure spectra showed no phase transitions up to 10 GPa under hydrostatic conditions. The spectra were used to develop Kieffer-type lattice vibrational models to calculate heat capacities of CePO4 and YPO4 and the results lie within 1-3% of experimental values. Equations of state were calculated from high-pressure single-crystal X-ray diffraction data. Bulk moduli (K0) determined from a 3rd-order Birch-Murnaghan equation of state are: 109(3) GPa for CePO4, 128.1(8) GPa for GdPO4, 141(1) GPa for TbPO4 and 166(1) GPa for ScPO4. The inverse relationship observed between K0 and the ionic radius of the RE3+ is shown to be linear. This equation can be used to predict K0 for other rare-earth phosphates. Comparison of these studies, performed under hydrostatic conditions, with previous studies show that MPO4 structures are sensitive to shear stresses created from non-hydrostatic environments. The first structural study of a monazite, GdPO4, is also reported. Compression mechanisms are comprised of "squishing" the GdO9 polyhedra and inter-polyhedral movement. This study and the axial compressibility data for Ce-, Tb-, Gd- and ScPO4 suggest that the compression mechanisms favored by MPO4 compounds are those which remain rigid parallel to polyhedral chains.","abstract_has_math":false,"creators":["Heffernan, Karina May"],"institution":"Virginia Tech","degree_name":"Master of Science","degree_level":"masters","degree_discipline":"Geosciences","degree_department":"Geosciences","school":null,"contributors":[],"advisors":[],"committee_chairs":["Ross, Nancy L."],"committee_members":["Tracy, Robert J.","Caddick, Mark J.","Slebodnick, Carla","Michel, Frederick Marc"],"year":2016,"date_issued":"2016-08-02","date_published":"2016-08-02","updated_at":"2026-07-22T22:19:54Z","subjects":["Monazite","Xenotime","High-Pressure","Diffraction","Raman"],"languages":[],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["vt_gsexam:8500"],"render_values":[{"text":"vt_gsexam:8500","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10919/81910","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.committeechair","label":"Committee Chair","values":["Ross, Nancy L."]},{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Tracy, Robert J.","Caddick, Mark J.","Slebodnick, Carla","Michel, Frederick Marc"]},{"key":"dc:contributor.department","label":"Department","values":["Geosciences"]},{"key":"dc:creator","label":"Author","values":["Heffernan, Karina May"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-01-25T07:00:33Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2018-01-25T07:00:33Z"]},{"key":"dc:date.issued","label":"Date","values":["2016-08-02"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Tech"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Geosciences"]},{"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":["Virginia Polytechnic Institute and State University"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Monazite","Xenotime","High-Pressure","Diffraction","Raman"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["In Copyright"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["vt_gsexam:8500"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/81910"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["A comprehensive study on the effect of composition on the structural and elastic properties of MPO4 (M = Ce3+, Gd3+, Tb3+, Y3+, Sc3+) compounds has been completed. CePO4 and GdPO4 are isostructural with monazite (P21/n), and TbPO4, YPO4, and ScPO4, are isostructural with xenotime (I41/amd). Raman spectra are consistent with previous studies and high-pressure spectra showed no phase transitions up to 10 GPa under hydrostatic conditions. The spectra were used to develop Kieffer-type lattice vibrational models to calculate heat capacities of CePO4 and YPO4 and the results lie within 1-3% of experimental values. Equations of state were calculated from high-pressure single-crystal X-ray diffraction data. Bulk moduli (K0) determined from a 3rd-order Birch-Murnaghan equation of state are: 109(3) GPa for CePO4, 128.1(8) GPa for GdPO4, 141(1) GPa for TbPO4 and 166(1) GPa for ScPO4. The inverse relationship observed between K0 and the ionic radius of the RE3+ is shown to be linear. This equation can be used to predict K0 for other rare-earth phosphates. Comparison of these studies, performed under hydrostatic conditions, with previous studies show that MPO4 structures are sensitive to shear stresses created from non-hydrostatic environments. The first structural study of a monazite, GdPO4, is also reported. Compression mechanisms are comprised of \"squishing\" the GdO9 polyhedra and inter-polyhedral movement. This study and the axial compressibility data for Ce-, Tb-, Gd- and ScPO4 suggest that the compression mechanisms favored by MPO4 compounds are those which remain rigid parallel to polyhedral chains."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Master of Science"]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["ETD"]},{"key":"dc:title","label":"Title","values":["The Effect of Composition on the High-Pressure Behavior of Rare-Earth Phosphate Minerals"]}]}],"canonical_facts":{"dc:contributor.committeechair":["Ross, Nancy L."],"dc:contributor.committeemember":["Tracy, Robert J.","Caddick, Mark J.","Slebodnick, Carla","Michel, Frederick Marc"],"dc:contributor.department":["Geosciences"],"dc:creator":["Heffernan, Karina May"],"dc:date.accessioned":["2018-01-25T07:00:33Z"],"dc:date.available":["2018-01-25T07:00:33Z"],"dc:date.issued":["2016-08-02"],"dc:description.abstract":["A comprehensive study on the effect of composition on the structural and elastic properties of MPO4 (M = Ce3+, Gd3+, Tb3+, Y3+, Sc3+) compounds has been completed. CePO4 and GdPO4 are isostructural with monazite (P21/n), and TbPO4, YPO4, and ScPO4, are isostructural with xenotime (I41/amd). Raman spectra are consistent with previous studies and high-pressure spectra showed no phase transitions up to 10 GPa under hydrostatic conditions. The spectra were used to develop Kieffer-type lattice vibrational models to calculate heat capacities of CePO4 and YPO4 and the results lie within 1-3% of experimental values. Equations of state were calculated from high-pressure single-crystal X-ray diffraction data. Bulk moduli (K0) determined from a 3rd-order Birch-Murnaghan equation of state are: 109(3) GPa for CePO4, 128.1(8) GPa for GdPO4, 141(1) GPa for TbPO4 and 166(1) GPa for ScPO4. The inverse relationship observed between K0 and the ionic radius of the RE3+ is shown to be linear. This equation can be used to predict K0 for other rare-earth phosphates. Comparison of these studies, performed under hydrostatic conditions, with previous studies show that MPO4 structures are sensitive to shear stresses created from non-hydrostatic environments. The first structural study of a monazite, GdPO4, is also reported. Compression mechanisms are comprised of \"squishing\" the GdO9 polyhedra and inter-polyhedral movement. This study and the axial compressibility data for Ce-, Tb-, Gd- and ScPO4 suggest that the compression mechanisms favored by MPO4 compounds are those which remain rigid parallel to polyhedral chains."],"dc:description.degree":["Master of Science"],"dc:format.medium":["ETD"],"dc:identifier.other":["vt_gsexam:8500"],"dc:identifier.uri":["http://hdl.handle.net/10919/81910"],"dc:publisher":["Virginia Tech"],"dc:rights":["In Copyright"],"dc:rights.uri":["http://rightsstatements.org/vocab/InC/1.0/"],"dc:subject":["Monazite","Xenotime","High-Pressure","Diffraction","Raman"],"dc:title":["The Effect of Composition on the High-Pressure Behavior of Rare-Earth Phosphate Minerals"],"dc:type":["Thesis"],"thesis:degree_discipline":["Geosciences"],"thesis:degree_level":["masters"],"thesis:degree_name":["Master of Science"],"thesis:institution_name":["Virginia Polytechnic Institute and State University"]},"updated_at":"2026-07-22T22:19:54Z"}