{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/20452"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/20452","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Direct determination of interactions at surfaces","abstract":"We have obtained for the first time a fairly complete two dimensional picture of interactions between two adatoms on a surface as a function of both the interatomic distance and orientation. Four different combinations of adatoms, Re-Pd, W-Pd, Ir-Ir, and Re-Re, have been investigated on the (110) surfaces of tungsten. P(R), the probability of finding adatoms at the vector separation R is obtained from repeated observations of two adatoms at equilibrium on W(110), using a field ion microscope. Interactions are derived directly from the measured probabilities utilizing the Boltzmann relationship P(R) = C P$\\sb0$(R) exp (-F(R)/kT), where P$\\sb0$(R) is the probability of finding a non-interacting pair and F(R) the free energy of interaction for two adatoms separated by vector R; C is a normalization constant.","abstract_html":"We have obtained for the first time a fairly complete two dimensional picture of interactions between two adatoms on a surface as a function of both the interatomic distance and orientation. Four different combinations of adatoms, Re-Pd, W-Pd, Ir-Ir, and Re-Re, have been investigated on the (110) surfaces of tungsten. P(R), the probability of finding adatoms at the vector separation R is obtained from repeated observations of two adatoms at equilibrium on W(110), using a field ion microscope. Interactions are derived directly from the measured probabilities utilizing the Boltzmann relationship P(R) = C P$\\sb0$(R) exp (-F(R)/kT), where P$\\sb0$(R) is the probability of finding a non-interacting pair and F(R) the free energy of interaction for two adatoms separated by vector R; C is a normalization constant.","abstract_has_math":true,"creators":["Watanabe, Fumiya"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Materials Engineering","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T12:39:36Z","date_published":"2011-05-07T12:39:36Z","updated_at":"2026-07-22T22:25:16Z","subjects":["Physics, Condensed Matter","Engineering, Materials Science"],"languages":["eng"],"rights":["Copyright 1990 Watanabe, Fumiya"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9114453","(UMI)AAI9114453"],"render_values":[{"text":"AAI9114453","href":null,"code":true},{"text":"(UMI)AAI9114453","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/20452","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Watanabe, Fumiya"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T12:39:36Z","10000-01-01","1990"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Materials 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","Engineering, Materials Science"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1990 Watanabe, Fumiya"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9114453","(UMI)AAI9114453","http://hdl.handle.net/2142/20452"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["We have obtained for the first time a fairly complete two dimensional picture of interactions between two adatoms on a surface as a function of both the interatomic distance and orientation. Four different combinations of adatoms, Re-Pd, W-Pd, Ir-Ir, and Re-Re, have been investigated on the (110) surfaces of tungsten. P(R), the probability of finding adatoms at the vector separation R is obtained from repeated observations of two adatoms at equilibrium on W(110), using a field ion microscope. Interactions are derived directly from the measured probabilities utilizing the Boltzmann relationship P(R) = C P$\\sb0$(R) exp (-F(R)/kT), where P$\\sb0$(R) is the probability of finding a non-interacting pair and F(R) the free energy of interaction for two adatoms separated by vector R; C is a normalization constant.","The pair interactions in two-dimensions have interesting characteristic, such as very long range effects, oscillatory behavior, and a pronounced orientational anisotropy. The magnitudes of adatom interactions derived in this study are smaller compared to binding energies estimated in more simplistic derivations of interactions at surfaces. At the closest separation, the interaction energies vary from fairly strong attraction of $\\approx$85 meV for Ir, and moderate attractions of $\\approx$50 meV for W-Pd and $\\approx$35 meV for Re-Pd, to a repulsion of $\\approx$21 meV for Re. On the contrary, the range of interactions determined in our studies is much greater than assumed in previous studies. The range varies from more than 8 A for Re-Pd and W-Pd to $\\approx$14 A for Ir-Ir and Re-Re. These are quite large distances for planes with a nearest-neighbor distance of 2.74 A. In fact, the limits of 8 A and 14 A correspond to the 10-th and the 25-th nearest-neighbor sites on W(110).","We have also investigated the extent to which pair interactions play a role in cohesion of clusters. Qualitatively at least, predictions of trimer properties based on pair interactions are moderately effective for Ir, but not at all for Re. For both, many-atom effects are important however. The quantitative estimates of such contributions are $\\sim$100 meV and Ir and $\\sim$360 meV for Re. That many-atom effects contribute $\\sim$1/3 of the cohesion for Ir and all of it for Re.","Made available in DSpace on 2011-05-07T12:39:36Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9114453.pdf: 3202040 bytes, checksum: 9fe0c2b1a898e0d157199c878bd079e4 (MD5) Previous issue date: 1990","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:43:59Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:19:19-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"key":"dc:title","label":"Title","values":["Direct determination of interactions at surfaces"]}]}],"canonical_facts":{"dc:creator":["Watanabe, Fumiya"],"dc:date":["2011-05-07T12:39:36Z","10000-01-01","1990"],"dc:description":["We have obtained for the first time a fairly complete two dimensional picture of interactions between two adatoms on a surface as a function of both the interatomic distance and orientation. Four different combinations of adatoms, Re-Pd, W-Pd, Ir-Ir, and Re-Re, have been investigated on the (110) surfaces of tungsten. P(R), the probability of finding adatoms at the vector separation R is obtained from repeated observations of two adatoms at equilibrium on W(110), using a field ion microscope. Interactions are derived directly from the measured probabilities utilizing the Boltzmann relationship P(R) = C P$\\sb0$(R) exp (-F(R)/kT), where P$\\sb0$(R) is the probability of finding a non-interacting pair and F(R) the free energy of interaction for two adatoms separated by vector R; C is a normalization constant.","The pair interactions in two-dimensions have interesting characteristic, such as very long range effects, oscillatory behavior, and a pronounced orientational anisotropy. The magnitudes of adatom interactions derived in this study are smaller compared to binding energies estimated in more simplistic derivations of interactions at surfaces. At the closest separation, the interaction energies vary from fairly strong attraction of $\\approx$85 meV for Ir, and moderate attractions of $\\approx$50 meV for W-Pd and $\\approx$35 meV for Re-Pd, to a repulsion of $\\approx$21 meV for Re. On the contrary, the range of interactions determined in our studies is much greater than assumed in previous studies. The range varies from more than 8 A for Re-Pd and W-Pd to $\\approx$14 A for Ir-Ir and Re-Re. These are quite large distances for planes with a nearest-neighbor distance of 2.74 A. In fact, the limits of 8 A and 14 A correspond to the 10-th and the 25-th nearest-neighbor sites on W(110).","We have also investigated the extent to which pair interactions play a role in cohesion of clusters. Qualitatively at least, predictions of trimer properties based on pair interactions are moderately effective for Ir, but not at all for Re. For both, many-atom effects are important however. The quantitative estimates of such contributions are $\\sim$100 meV and Ir and $\\sim$360 meV for Re. That many-atom effects contribute $\\sim$1/3 of the cohesion for Ir and all of it for Re.","Made available in DSpace on 2011-05-07T12:39:36Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9114453.pdf: 3202040 bytes, checksum: 9fe0c2b1a898e0d157199c878bd079e4 (MD5) Previous issue date: 1990","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:43:59Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:19:19-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"],"dc:identifier":["AAI9114453","(UMI)AAI9114453","http://hdl.handle.net/2142/20452"],"dc:language":["eng"],"dc:rights":["Copyright 1990 Watanabe, Fumiya"],"dc:subject":["Physics, Condensed Matter","Engineering, Materials Science"],"dc:title":["Direct determination of interactions at surfaces"],"dc:type":["text"],"thesis:degree_discipline":["Materials Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:16Z"}