{"id":{"repo_id":"lethbridge","oai_identifier":"oai:opus.uleth.ca:10133/5296"},"canonical_url":"https://search.dev.ndltd.org/etd/lethbridge/oai:opus.uleth.ca:10133/5296","repository":{"repo_id":"lethbridge","name":"University of Lethbridge","base_url":"https://opus.uleth.ca/server/oai/request"},"display":{"title":"Design of a micro-machined cantilever apparatus suitable for testing Modified Newtonian Dynamics","abstract":"Micro-cantilevers have been used for Atomic Force Microscopy to obtain topographic images of surfaces. The resolution of these images allows for individual atoms to be resolved. In this work micro-cantilevers were studied to determine their noise spectrum. A theoretical model was derived using the Euler-Bernoulli beam equation, hydrodynamics and thermodynamics to ascertain the expected power spectral density of a micro-cantilever in a fluid due to thermal energy. Experimental data was collected with a lock-in amplifier to measure noise vs frequency to compare with the theoretical model. The data was used to determine the expected uncertainty of measurements due to noise to determine if measurements can be made in the MOND regime. These results will be used to determine the viability of using a micro-cantilever for an Earth based experiment to test MOND.","abstract_html":"Micro-cantilevers have been used for Atomic Force Microscopy to obtain topographic images of surfaces. The resolution of these images allows for individual atoms to be resolved. In this work micro-cantilevers were studied to determine their noise spectrum. A theoretical model was derived using the Euler-Bernoulli beam equation, hydrodynamics and thermodynamics to ascertain the expected power spectral density of a micro-cantilever in a fluid due to thermal energy. Experimental data was collected with a lock-in amplifier to measure noise vs frequency to compare with the theoretical model. The data was used to determine the expected uncertainty of measurements due to noise to determine if measurements can be made in the MOND regime. These results will be used to determine the viability of using a micro-cantilever for an Earth based experiment to test MOND.","abstract_has_math":false,"creators":["Wiens, Braden T.","University of Lethbridge. Faculty of Arts and Science"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2018,"date_issued":"2018","date_published":"2018","updated_at":"2026-07-27T20:02:35Z","subjects":["Atomic force microscopy -- Equipment and supplies -- Design and construction","Cantilevers -- Design and construction","Surfaces (Physics)","Dark matter (Astronomy) -- Research","AFM","micro-cantilever","Modified Newtonian Dynamics","MOND","Dissertations, Academic"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["hdl:10133/5296"],"render_values":[{"text":"hdl:10133/5296","href":null,"code":true}]}]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2018"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Atomic force microscopy -- Equipment and supplies -- Design and construction","Cantilevers -- Design and construction","Surfaces (Physics)","Dark matter (Astronomy) -- Research","AFM","micro-cantilever","Modified Newtonian Dynamics","MOND","Dissertations, Academic"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["hdl:10133/5296"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.other","label":"Dc Description Other","values":["Micro-cantilevers have been used for Atomic Force Microscopy to obtain topographic images of surfaces. The resolution of these images allows for individual atoms to be resolved. In this work micro-cantilevers were studied to determine their noise spectrum. A theoretical model was derived using the Euler-Bernoulli beam equation, hydrodynamics and thermodynamics to ascertain the expected power spectral density of a micro-cantilever in a fluid due to thermal energy. Experimental data was collected with a lock-in amplifier to measure noise vs frequency to compare with the theoretical model. The data was used to determine the expected uncertainty of measurements due to noise to determine if measurements can be made in the MOND regime. These results will be used to determine the viability of using a micro-cantilever for an Earth based experiment to test MOND."]},{"key":"dc:title","label":"Title","values":["Design of a micro-machined cantilever apparatus suitable for testing Modified Newtonian Dynamics"]}]}],"canonical_facts":{"dc:date.issued":["2018"],"dc:description.other":["Micro-cantilevers have been used for Atomic Force Microscopy to obtain topographic images of surfaces. The resolution of these images allows for individual atoms to be resolved. In this work micro-cantilevers were studied to determine their noise spectrum. A theoretical model was derived using the Euler-Bernoulli beam equation, hydrodynamics and thermodynamics to ascertain the expected power spectral density of a micro-cantilever in a fluid due to thermal energy. Experimental data was collected with a lock-in amplifier to measure noise vs frequency to compare with the theoretical model. The data was used to determine the expected uncertainty of measurements due to noise to determine if measurements can be made in the MOND regime. These results will be used to determine the viability of using a micro-cantilever for an Earth based experiment to test MOND."],"dc:identifier":["hdl:10133/5296"],"dc:subject":["Atomic force microscopy -- Equipment and supplies -- Design and construction","Cantilevers -- Design and construction","Surfaces (Physics)","Dark matter (Astronomy) -- Research","AFM","micro-cantilever","Modified Newtonian Dynamics","MOND","Dissertations, Academic"],"dc:title":["Design of a micro-machined cantilever apparatus suitable for testing Modified Newtonian Dynamics"],"dc:type":["Thesis"]},"updated_at":"2026-07-27T20:02:35Z"}