{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/40913"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/40913","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"Solving the system of atomic rate equations during recombination","abstract":"The recombination of hydrogen at z ~ 800 - 1800 induces distortions to the Cosmic Microwave Background (CMB) spectrum. We present a careful calculation and analysis of all of the main transitions occurring during this period in order to find the electron density throughout recombination and its dependence on each process. Our original motivation was to analyze the effects that Thomson scattering and resonance scattering will have on recombination. However, while working on the project, we found that first we had to thoroughly account for all of the atomic transitions. We present a new method for solving the system of equations throughout the period of recombination. This method allows us to show the effect of individual processes on the total ionization fraction.","abstract_html":"The recombination of hydrogen at z ~ 800 - 1800 induces distortions to the Cosmic Microwave Background (CMB) spectrum. We present a careful calculation and analysis of all of the main transitions occurring during this period in order to find the electron density throughout recombination and its dependence on each process. Our original motivation was to analyze the effects that Thomson scattering and resonance scattering will have on recombination. However, while working on the project, we found that first we had to thoroughly account for all of the atomic transitions. We present a new method for solving the system of equations throughout the period of recombination. This method allows us to show the effect of individual processes on the total ionization fraction.","abstract_has_math":false,"creators":["Scolnic, Daniel (Daniel M.)"],"institution":"Massachusetts Institute of Technology","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Massachusetts Institute of Technology. Dept. of Physics.","school":null,"contributors":[],"advisors":["Edmund Bertschinger."],"committee_chairs":[],"committee_members":[],"year":2007,"date_issued":"2007","date_published":"2007","updated_at":"2026-07-22T22:21:44Z","subjects":["Physics."],"languages":["eng"],"rights":["M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission."],"rights_urls":["http://dspace.mit.edu/handle/1721.1/7582"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/1721.1/40913","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Edmund Bertschinger."]},{"key":"dc:contributor.department","label":"Department","values":["Massachusetts Institute of Technology. Dept. of Physics."]},{"key":"dc:contributor.other","label":"Dc Contributor Other","values":["Massachusetts Institute of Technology. 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They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission."]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://dspace.mit.edu/handle/1721.1/7582"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/1721.1/40913"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2007.","Includes bibliographical references (leaves 59-60)."]},{"key":"dc:description.abstract","label":"Abstract","values":["The recombination of hydrogen at z ~ 800 - 1800 induces distortions to the Cosmic Microwave Background (CMB) spectrum. We present a careful calculation and analysis of all of the main transitions occurring during this period in order to find the electron density throughout recombination and its dependence on each process. Our original motivation was to analyze the effects that Thomson scattering and resonance scattering will have on recombination. However, while working on the project, we found that first we had to thoroughly account for all of the atomic transitions. We present a new method for solving the system of equations throughout the period of recombination. This method allows us to show the effect of individual processes on the total ionization fraction."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["S.B."]},{"key":"dc:title","label":"Title","values":["Solving the system of atomic rate equations during recombination"]}]}],"canonical_facts":{"dc:contributor.advisor":["Edmund Bertschinger."],"dc:contributor.department":["Massachusetts Institute of Technology. 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However, while working on the project, we found that first we had to thoroughly account for all of the atomic transitions. We present a new method for solving the system of equations throughout the period of recombination. This method allows us to show the effect of individual processes on the total ionization fraction."],"dc:description.degree":["S.B."],"dc:identifier.uri":["http://hdl.handle.net/1721.1/40913"],"dc:language.iso":["eng"],"dc:publisher":["Massachusetts Institute of Technology"],"dc:rights":["M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission."],"dc:rights.uri":["http://dspace.mit.edu/handle/1721.1/7582"],"dc:subject":["Physics."],"dc:title":["Solving the system of atomic rate equations during recombination"],"dc:type":["Thesis"]},"updated_at":"2026-07-22T22:21:44Z"}