The cluster expansion theory of Mayer is rearranged to obtain expressions for the potential of average force and the internal potential energy of the electron gas through order n3/2 in the density n. The order n result for the potential of average force is applied to ionic solutions, and gives an expression for the activity coefficient through order n; the electron-gas result also enables us to extend the Fuoss-Onsager theory of the conductivity of ionic solutions to the case of asymmetric solutes. Some mathematical corrections are made to the Fuoss-Onsager theory, so that results for symmetric solutes are obtained which differ from those of Fuoss and Onsager.
","abstract_html":"<p>The cluster expansion theory of Mayer is rearranged to obtain expressions for the potential of average force and the internal potential energy of the electron gas through order n<sup>3/2</sup> in the density n. The order n result for the potential of average force is applied to ionic solutions, and gives an expression for the activity coefficient through order n; the electron-gas result also enables us to extend the Fuoss-Onsager theory of the conductivity of ionic solutions to the case of asymmetric solutes. Some mathematical corrections are made to the Fuoss-Onsager theory, so that results for symmetric solutes are obtained which differ from those of Fuoss and Onsager.</p>","abstract_has_math":false,"creators":["Murphy, Thomas James"],"institution":null,"degree_name":"Doctor of Philosophy (PhD)","degree_level":"Thesis","degree_discipline":null,"degree_department":null,"school":null,"contributors":["E.G.D. Cohen"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1968,"date_issued":"1968-01-01T08:00:00Z","date_published":"1968-01-01T08:00:00Z","updated_at":"2026-07-24T04:11:21Z","subjects":["cluster expansion","Mayer theory","thermodynamics","electron gas","ionic solutions","statistical mechanics","Physical Sciences and Mathematics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.rockefeller.edu/student_theses_and_dissertations/574","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["E.G.D. Cohen"]},{"key":"dc:creator","label":"Author","values":["Murphy, Thomas James"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy (PhD)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["cluster expansion","Mayer theory","thermodynamics","electron gas","ionic solutions","statistical mechanics","Physical Sciences and Mathematics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.rockefeller.edu/student_theses_and_dissertations/574"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The cluster expansion theory of Mayer is rearranged to obtain expressions for the potential of average force and the internal potential energy of the electron gas through order n3/2 in the density n. The order n result for the potential of average force is applied to ionic solutions, and gives an expression for the activity coefficient through order n; the electron-gas result also enables us to extend the Fuoss-Onsager theory of the conductivity of ionic solutions to the case of asymmetric solutes. Some mathematical corrections are made to the Fuoss-Onsager theory, so that results for symmetric solutes are obtained which differ from those of Fuoss and Onsager.
"]},{"key":"dc:title","label":"Title","values":["Corrections to the Debye-Hückel Theory"]}]}],"canonical_facts":{"dc:contributor":["E.G.D. Cohen"],"dc:creator":["Murphy, Thomas James"],"dc:description.abstract":["The cluster expansion theory of Mayer is rearranged to obtain expressions for the potential of average force and the internal potential energy of the electron gas through order n3/2 in the density n. The order n result for the potential of average force is applied to ionic solutions, and gives an expression for the activity coefficient through order n; the electron-gas result also enables us to extend the Fuoss-Onsager theory of the conductivity of ionic solutions to the case of asymmetric solutes. Some mathematical corrections are made to the Fuoss-Onsager theory, so that results for symmetric solutes are obtained which differ from those of Fuoss and Onsager.
"],"dc:identifier":["https://digitalcommons.rockefeller.edu/student_theses_and_dissertations/574"],"dc:subject":["cluster expansion","Mayer theory","thermodynamics","electron gas","ionic solutions","statistical mechanics","Physical Sciences and Mathematics"],"dc:title":["Corrections to the Debye-Hückel Theory"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["Doctor of Philosophy (PhD)"]},"updated_at":"2026-07-24T04:11:21Z"}