{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/82828"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/82828","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Atomic-Scale Characterization of Nanometer-Sized Graphene","abstract":"We have developed a method for depositing atomically clean, nanometer-sized graphene monolayers with 2-30 nm lateral dimensions and we probe the local electronic properties of the graphene using the ultrahigh-vacuum scanning tunneling microscope (UHV-STM). By using tunneling spectroscopy, we measure a size-dependent energy gap for graphene quantum dots (QDs) (aspect ratio ≈1) and determine the energy gap (Eg)---size ( L) relation. Our Eg (eV) = 1.53 +/- 0.41 eV·nm/L1.01 +/- 0.23 least-squares fit quantitatively agrees with the simple model Eg (eV) = 1.68 eV·nm/L resulting from quantum confinement and the linear dispersion of graphene. Predominantly zigzag-edge QDs with 7-8 nm average dimensions are metallic and diverge from the Eg-L scaling law due to the presence of zigzag edge states which spatially decay into the graphene interior with a 1.0-1.2 nm decay length. In addition to graphene QDs, we study the electronic structure of graphene nanoribbons (GNRs) with 2-3 nm widths and 20-30 nm lengths. GNRs with a higher fraction of zigzag edges exhibit a smaller energy gap than a predominantly armchair-edge ribbon of similar width and the magnitude of the measured GNR energy gaps agree with recent theoretical calculations.","abstract_html":"We have developed a method for depositing atomically clean, nanometer-sized graphene monolayers with 2-30 nm lateral dimensions and we probe the local electronic properties of the graphene using the ultrahigh-vacuum scanning tunneling microscope (UHV-STM). By using tunneling spectroscopy, we measure a size-dependent energy gap for graphene quantum dots (QDs) (aspect ratio ≈1) and determine the energy gap (Eg)---size ( L) relation. Our Eg (eV) = 1.53 +/- 0.41 eV·nm/L1.01 +/- 0.23 least-squares fit quantitatively agrees with the simple model Eg (eV) = 1.68 eV·nm/L resulting from quantum confinement and the linear dispersion of graphene. Predominantly zigzag-edge QDs with 7-8 nm average dimensions are metallic and diverge from the Eg-L scaling law due to the presence of zigzag edge states which spatially decay into the graphene interior with a 1.0-1.2 nm decay length. In addition to graphene QDs, we study the electronic structure of graphene nanoribbons (GNRs) with 2-3 nm widths and 20-30 nm lengths. GNRs with a higher fraction of zigzag edges exhibit a smaller energy gap than a predominantly armchair-edge ribbon of similar width and the magnitude of the measured GNR energy gaps agree with recent theoretical calculations.","abstract_has_math":false,"creators":["Ritter, Kyle"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Materials Science and Engineering","degree_department":null,"school":null,"contributors":["Lyding, Joseph W."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:53:11Z","date_published":"2015-09-25T20:53:11Z","updated_at":"2026-07-22T22:26:20Z","subjects":["Physics, Condensed Matter"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3337896"],"render_values":[{"text":"(MiAaPQ)AAI3337896","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/82828","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Lyding, Joseph W."]},{"key":"dc:creator","label":"Author","values":["Ritter, Kyle"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:53:11Z","10000-01-01","2008"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Materials Science and Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Physics, Condensed Matter"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/82828","(MiAaPQ)AAI3337896"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["We have developed a method for depositing atomically clean, nanometer-sized graphene monolayers with 2-30 nm lateral dimensions and we probe the local electronic properties of the graphene using the ultrahigh-vacuum scanning tunneling microscope (UHV-STM). By using tunneling spectroscopy, we measure a size-dependent energy gap for graphene quantum dots (QDs) (aspect ratio ≈1) and determine the energy gap (Eg)---size ( L) relation. Our Eg (eV) = 1.53 +/- 0.41 eV·nm/L1.01 +/- 0.23 least-squares fit quantitatively agrees with the simple model Eg (eV) = 1.68 eV·nm/L resulting from quantum confinement and the linear dispersion of graphene. Predominantly zigzag-edge QDs with 7-8 nm average dimensions are metallic and diverge from the Eg-L scaling law due to the presence of zigzag edge states which spatially decay into the graphene interior with a 1.0-1.2 nm decay length. In addition to graphene QDs, we study the electronic structure of graphene nanoribbons (GNRs) with 2-3 nm widths and 20-30 nm lengths. GNRs with a higher fraction of zigzag edges exhibit a smaller energy gap than a predominantly armchair-edge ribbon of similar width and the magnitude of the measured GNR energy gaps agree with recent theoretical calculations.","Made available in DSpace on 2015-09-25T20:53:11Z (GMT). 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By using tunneling spectroscopy, we measure a size-dependent energy gap for graphene quantum dots (QDs) (aspect ratio ≈1) and determine the energy gap (Eg)---size ( L) relation. Our Eg (eV) = 1.53 +/- 0.41 eV·nm/L1.01 +/- 0.23 least-squares fit quantitatively agrees with the simple model Eg (eV) = 1.68 eV·nm/L resulting from quantum confinement and the linear dispersion of graphene. Predominantly zigzag-edge QDs with 7-8 nm average dimensions are metallic and diverge from the Eg-L scaling law due to the presence of zigzag edge states which spatially decay into the graphene interior with a 1.0-1.2 nm decay length. In addition to graphene QDs, we study the electronic structure of graphene nanoribbons (GNRs) with 2-3 nm widths and 20-30 nm lengths. GNRs with a higher fraction of zigzag edges exhibit a smaller energy gap than a predominantly armchair-edge ribbon of similar width and the magnitude of the measured GNR energy gaps agree with recent theoretical calculations.","Made available in DSpace on 2015-09-25T20:53:11Z (GMT). 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