{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/25293"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/25293","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"In situ x-ray investigations of staging and sequencing potassium-graphite intercalation compounds","abstract":"Experimental investigations, us i n9 x-ray diffraction techniques, have been made into the phenomenon of staging in graphite intercalation compounds. These studies have been performed in situ by means of a two-zone, high-temperature, x-ray furnace. The transition from stage 1 to stage 2 is found to be a two-phase process which does not require intermediate steps. For stage n, n > 2, stage mixing is shown to occur in thermodynamic equilibrium. The amount and relative concentration of admixed stages is seen to be a continuous function of the thermodynamic parameters. Hm~ever, the transition between stage n an~ stage n+l still exhibits a discontinuity which can be characterized as a gap in the allowed concentrations for stage admixing. The size of this gap decreases with increasing stage, i.e., the trans i ti on becomes more continuous. Various proposed theories for staging are discussed. It is concluded that the intercalate-intercalate screened coulomb interaction is the stabilizing force for staging. Stage mixing is seen to be a direct consequence of finite domain size and entropy. It is unclear whether the discontinuous nature of the stage transitions is a true miscibility gap resulting from a first-order transition or whether it is an apparent miscibility gap resulting from the particular form of a predicted second-order transition for staging transitions.","abstract_html":"Experimental investigations, us i n9 x-ray diffraction techniques, have been made into the phenomenon of staging in graphite intercalation compounds. These studies have been performed in situ by means of a two-zone, high-temperature, x-ray furnace. The transition from stage 1 to stage 2 is found to be a two-phase process which does not require intermediate steps. For stage n, n > 2, stage mixing is shown to occur in thermodynamic equilibrium. The amount and relative concentration of admixed stages is seen to be a continuous function of the thermodynamic parameters. Hm~ever, the transition between stage n an~ stage n+l still exhibits a discontinuity which can be characterized as a gap in the allowed concentrations for stage admixing. The size of this gap decreases with increasing stage, i.e., the trans i ti on becomes more continuous. Various proposed theories for staging are discussed. It is concluded that the intercalate-intercalate screened coulomb interaction is the stabilizing force for staging. Stage mixing is seen to be a direct consequence of finite domain size and entropy. It is unclear whether the discontinuous nature of the stage transitions is a true miscibility gap resulting from a first-order transition or whether it is an apparent miscibility gap resulting from the particular form of a predicted second-order transition for staging transitions.","abstract_has_math":false,"creators":["Misenheimer, Mark Eugene"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Zabel, Hartmut"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-06-06T16:16:52Z","date_published":"2011-06-06T16:16:52Z","updated_at":"2026-07-22T22:25:24Z","subjects":["in situ x-ray investigations","staging","sequencing","potassium-graphite intercalation compounds"],"languages":["en"],"rights":["1985 Mark Eugene Misenheimer"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["864938"],"render_values":[{"text":"864938","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/25293","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Zabel, Hartmut"]},{"key":"dc:creator","label":"Author","values":["Misenheimer, Mark Eugene"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-06-06T16:16:52Z","10000-01-01","1985"]},{"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":["in situ x-ray investigations","staging","sequencing","potassium-graphite intercalation compounds"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1985 Mark Eugene Misenheimer"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["864938","http://hdl.handle.net/2142/25293"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Experimental investigations, us i n9 x-ray diffraction techniques, have been made into the phenomenon of staging in graphite intercalation compounds. These studies have been performed in situ by means of a two-zone, high-temperature, x-ray furnace. The transition from stage 1 to stage 2 is found to be a two-phase process which does not require intermediate steps. For stage n, n > 2, stage mixing is shown to occur in thermodynamic equilibrium. The amount and relative concentration of admixed stages is seen to be a continuous function of the thermodynamic parameters. Hm~ever, the transition between stage n an~ stage n+l still exhibits a discontinuity which can be characterized as a gap in the allowed concentrations for stage admixing. The size of this gap decreases with increasing stage, i.e., the trans i ti on becomes more continuous. Various proposed theories for staging are discussed. It is concluded that the intercalate-intercalate screened coulomb interaction is the stabilizing force for staging. Stage mixing is seen to be a direct consequence of finite domain size and entropy. It is unclear whether the discontinuous nature of the stage transitions is a true miscibility gap resulting from a first-order transition or whether it is an apparent miscibility gap resulting from the particular form of a predicted second-order transition for staging transitions.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-06T16:16:52Z No. of bitstreams: 1 1985_misenheimer.pdf: 2951205 bytes, checksum: faa8cdb9db61bd05c24302f60ea9a479 (MD5)","Made available in DSpace on 2011-06-06T16:16:52Z (GMT). No. of bitstreams: 1 1985_misenheimer.pdf: 2951205 bytes, checksum: faa8cdb9db61bd05c24302f60ea9a479 (MD5) Previous issue date: 1985","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-06-06T16:16:52Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:14:20-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["In situ x-ray investigations of staging and sequencing potassium-graphite intercalation compounds"]}]}],"canonical_facts":{"dc:contributor":["Zabel, Hartmut"],"dc:creator":["Misenheimer, Mark Eugene"],"dc:date":["2011-06-06T16:16:52Z","10000-01-01","1985"],"dc:description":["Experimental investigations, us i n9 x-ray diffraction techniques, have been made into the phenomenon of staging in graphite intercalation compounds. These studies have been performed in situ by means of a two-zone, high-temperature, x-ray furnace. The transition from stage 1 to stage 2 is found to be a two-phase process which does not require intermediate steps. For stage n, n > 2, stage mixing is shown to occur in thermodynamic equilibrium. The amount and relative concentration of admixed stages is seen to be a continuous function of the thermodynamic parameters. Hm~ever, the transition between stage n an~ stage n+l still exhibits a discontinuity which can be characterized as a gap in the allowed concentrations for stage admixing. The size of this gap decreases with increasing stage, i.e., the trans i ti on becomes more continuous. Various proposed theories for staging are discussed. It is concluded that the intercalate-intercalate screened coulomb interaction is the stabilizing force for staging. Stage mixing is seen to be a direct consequence of finite domain size and entropy. It is unclear whether the discontinuous nature of the stage transitions is a true miscibility gap resulting from a first-order transition or whether it is an apparent miscibility gap resulting from the particular form of a predicted second-order transition for staging transitions.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-06T16:16:52Z No. of bitstreams: 1 1985_misenheimer.pdf: 2951205 bytes, checksum: faa8cdb9db61bd05c24302f60ea9a479 (MD5)","Made available in DSpace on 2011-06-06T16:16:52Z (GMT). No. of bitstreams: 1 1985_misenheimer.pdf: 2951205 bytes, checksum: faa8cdb9db61bd05c24302f60ea9a479 (MD5) Previous issue date: 1985","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-06-06T16:16:52Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:14:20-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"],"dc:identifier":["864938","http://hdl.handle.net/2142/25293"],"dc:language":["en"],"dc:rights":["1985 Mark Eugene Misenheimer"],"dc:subject":["in situ x-ray investigations","staging","sequencing","potassium-graphite intercalation compounds"],"dc:title":["In situ x-ray investigations of staging and sequencing potassium-graphite intercalation compounds"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."]},"updated_at":"2026-07-22T22:25:24Z"}