{"id":"https://openalex.org/W1990704681","doi":"https://doi.org/10.1103/physrevb.46.2821","title":"Enhanced Raman scattering by fractal clusters: Scale-invariant theory","display_name":"Enhanced Raman scattering by fractal clusters: Scale-invariant theory","publication_year":1992,"publication_date":"1992-08-01","ids":{"openalex":"https://openalex.org/W1990704681","doi":"https://doi.org/10.1103/physrevb.46.2821","mag":"1990704681","pmid":"https://pubmed.ncbi.nlm.nih.gov/10003971"},"language":"en","primary_location":{"id":"doi:10.1103/physrevb.46.2821","doi":"https://doi.org/10.1103/physrevb.46.2821","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.46.2821","pdf_url":null,"source":{"id":"https://openalex.org/S4210174675","display_name":"Physical review. B, Condensed matter","issn_l":"0163-1829","issn":["0163-1829","1095-3795"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","ki-jl-2"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074931384","display_name":"Mark I. Stockman","orcid":"https://orcid.org/0000-0002-6996-0806","observed_orcids":["https://orcid.org/0000-0002-6996-0806"]},"institutions":[{"id":"https://openalex.org/I72951846","display_name":"Washington State University","ror":"https://ror.org/05dk0ce17","country_code":"US","type":"education","lineage":["https://openalex.org/I72951846"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mark I. Stockman","raw_affiliation_strings":["Departments of Physics and Chemistry, Washington State University, Pullman, Washington 99164"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departments of Physics and Chemistry, Washington State University, Pullman, Washington 99164","institution_ids":["https://openalex.org/I72951846"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007779336","display_name":"Vladimir M. Shalaev","orcid":"https://orcid.org/0000-0001-8976-1102","observed_orcids":["https://orcid.org/0000-0001-8976-1102"]},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]},{"id":"https://openalex.org/I72951846","display_name":"Washington State University","ror":"https://ror.org/05dk0ce17","country_code":"US","type":"education","lineage":["https://openalex.org/I72951846"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"Vladimir M. Shalaev","raw_affiliation_strings":["Departments of Physics and Chemistry, Washington State University, Pullman, Washington 99164","Department of Chemistry, University of Toronto, and Ontario Laser Lightwave Research Center, Toronto, Ontario, Canada M5S 1A1"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departments of Physics and Chemistry, Washington State University, Pullman, Washington 99164","institution_ids":["https://openalex.org/I72951846"]},{"raw_affiliation_string":"Department of Chemistry, University of Toronto, and Ontario Laser Lightwave Research Center, Toronto, Ontario, Canada M5S 1A1","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000880229","display_name":"Martin Moskovits","orcid":"https://orcid.org/0000-0002-0212-108X","observed_orcids":["https://orcid.org/0000-0002-0212-108X"]},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]},{"id":"https://openalex.org/I72951846","display_name":"Washington State University","ror":"https://ror.org/05dk0ce17","country_code":"US","type":"education","lineage":["https://openalex.org/I72951846"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"Martin Moskovits","raw_affiliation_strings":["Departments of Physics and Chemistry, Washington State University, Pullman, Washington 99164","Department of Chemistry, University of Toronto, and Ontario Laser Lightwave Research Center, Toronto, Ontario, Canada M5S 1A1"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departments of Physics and Chemistry, Washington State University, Pullman, Washington 99164","institution_ids":["https://openalex.org/I72951846"]},{"raw_affiliation_string":"Department of Chemistry, University of Toronto, and Ontario Laser Lightwave Research Center, Toronto, Ontario, Canada M5S 1A1","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068439751","display_name":"Robert S. Botet","orcid":"https://orcid.org/0000-0002-8515-111X","observed_orcids":["https://orcid.org/0000-0002-8515-111X"]},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I2799857465","display_name":"Laboratoire de physique des Solides","ror":"https://ror.org/02dyaew97","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I2799857465"]},{"id":"https://openalex.org/I72951846","display_name":"Washington State University","ror":"https://ror.org/05dk0ce17","country_code":"US","type":"education","lineage":["https://openalex.org/I72951846"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Robert Botet","raw_affiliation_strings":["Departments of Physics and Chemistry, Washington State University, Pullman, Washington 99164","Laboratoire de Physique des Solides, Universit\u00e9 Paris-Sud, Centre d\u2019Orsay, 91405 Orsay, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departments of Physics and Chemistry, Washington State University, Pullman, Washington 99164","institution_ids":["https://openalex.org/I72951846"]},{"raw_affiliation_string":"Laboratoire de Physique des Solides, Universit\u00e9 Paris-Sud, Centre d\u2019Orsay, 91405 Orsay, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I2799857465"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010111608","display_name":"Thomas F. George","orcid":"https://orcid.org/0000-0003-1225-6778","observed_orcids":["https://orcid.org/0000-0003-1225-6778"]},"institutions":[{"id":"https://openalex.org/I72951846","display_name":"Washington State University","ror":"https://ror.org/05dk0ce17","country_code":"US","type":"education","lineage":["https://openalex.org/I72951846"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas F. George","raw_affiliation_strings":["Departments of Physics and Chemistry, Washington State University, Pullman, Washington 99164"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departments of Physics and Chemistry, Washington State University, Pullman, Washington 99164","institution_ids":["https://openalex.org/I72951846"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.0195,"has_fulltext":false,"cited_by_count":273,"citation_normalized_percentile":{"value":0.96126242,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":100},"biblio":{"volume":"46","issue":"5","first_page":"2821","last_page":"2830"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10131","display_name":"Gold and Silver Nanoparticles Synthesis and Applications","score":0.8047000169754028,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10131","display_name":"Gold and Silver Nanoparticles Synthesis and Applications","score":0.8047000169754028,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10295","display_name":"Plasmonic and Surface Plasmon Research","score":0.09549999982118607,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12466","display_name":"Near-Field Optical Microscopy","score":0.011800000444054604,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/raman-scattering-enhancement","display_name":"Raman scattering enhancement","score":0.859000027179718},{"id":"https://openalex.org/keywords/fractal-clusters","display_name":"fractal clusters","score":0.9760000109672546},{"id":"https://openalex.org/keywords/scale-invariance","display_name":"scale invariance","score":0.8889999985694885},{"id":"https://openalex.org/keywords/surface-enhanced-raman-scattering","display_name":"surface-enhanced Raman scattering","score":0.9190000295639038},{"id":"https://openalex.org/keywords/critical-indices","display_name":"critical indices","score":0.699999988079071}],"concepts":[{"id":"https://openalex.org/C169573571","wikidata":"https://www.wikidata.org/wiki/Q466824","display_name":"Raman scattering","level":3,"score":0.743144690990448},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.7225090265274048},{"id":"https://openalex.org/C135593079","wikidata":"https://www.wikidata.org/wiki/Q1750766","display_name":"Scale invariance","level":2,"score":0.7074757218360901},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.6728436946868896},{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.6604767441749573},{"id":"https://openalex.org/C40003534","wikidata":"https://www.wikidata.org/wiki/Q862228","display_name":"Raman spectroscopy","level":2,"score":0.49720194935798645},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4544641375541687},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.44466084241867065},{"id":"https://openalex.org/C67105901","wikidata":"https://www.wikidata.org/wiki/Q903737","display_name":"Scattering theory","level":3,"score":0.4368317723274231},{"id":"https://openalex.org/C176952179","wikidata":"https://www.wikidata.org/wiki/Q12073245","display_name":"X-ray scattering techniques","level":5,"score":0.4316723942756653},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.4221314489841461},{"id":"https://openalex.org/C76308580","wikidata":"https://www.wikidata.org/wiki/Q8041568","display_name":"X-ray Raman scattering","level":4,"score":0.4195706248283386},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.3775704801082611},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3598598539829254},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33845987915992737},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3111676275730133},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2612912058830261},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.16848063468933105}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/physrevb.46.2821","doi":"https://doi.org/10.1103/physrevb.46.2821","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.46.2821","pdf_url":null,"source":{"id":"https://openalex.org/S4210174675","display_name":"Physical review. B, Condensed matter","issn_l":"0163-1829","issn":["0163-1829","1095-3795"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","ki-jl-2"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},{"id":"pmid:10003971","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/10003971","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical review. B, Condensed matter","raw_type":"Journal Article"},{"id":"pmh:ADA248463","doi":null,"is_oa":false,"landing_page_url":"http://oai.dtic.mil/oai/oai?&amp;verb=getRecord&amp;metadataPrefix=html&amp;identifier=ADA248463","pdf_url":null,"source":{"id":"https://openalex.org/S4406923043","display_name":"Defense Technical Information Center (DTIC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"DTIC AND NTIS","raw_type":"Text"},{"id":"pmh:oai:HAL:hal-04899065v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-04899065","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Physical Review B: Condensed Matter (1978-1997), 1992, 46 (5), pp.2821-2830. &#x27E8;10.1103/PhysRevB.46.2821&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1970078569","https://openalex.org/W1988335285","https://openalex.org/W1990394864","https://openalex.org/W2002052849","https://openalex.org/W2004833610","https://openalex.org/W2011548090","https://openalex.org/W2013389962","https://openalex.org/W2040669092","https://openalex.org/W2045071479","https://openalex.org/W2051974318","https://openalex.org/W2052787265","https://openalex.org/W2053850335","https://openalex.org/W2066120998","https://openalex.org/W2080938048","https://openalex.org/W2083926174","https://openalex.org/W2085768835","https://openalex.org/W2086971829","https://openalex.org/W2412062725"],"related_works":["https://openalex.org/W2015292678","https://openalex.org/W3212210979","https://openalex.org/W2013389962","https://openalex.org/W2053850335","https://openalex.org/W3049127009","https://openalex.org/W2159357373","https://openalex.org/W1582263960","https://openalex.org/W1992098621","https://openalex.org/W2084004049","https://openalex.org/W3080654990"],"abstract_inverted_index":{"A":[0],"scale-invariant":[1],"theory":[2],"of":[3,6,17,26,36,50],"Raman":[4,18,82],"scattering":[5,19,83],"light":[7],"by":[8,45],"fractal":[9],"clusters":[10],"is":[11,20,55],"developed.":[12],"The":[13,33,66],"enhancement":[14,38],"factor":[15,39],"${\\mathit{G}}^{\\mathrm{RS}}$":[16],"shown":[21,59],"to":[22,42,60],"scale":[23],"in":[24],"terms":[25],"a":[27,85],"properly":[28],"chosen":[29],"spectral":[30,48,87],"variable":[31],"X.":[32],"critical":[34],"indices":[35],"the":[37,46,51,62],"are":[40],"found":[41],"be":[43],"determined":[44],"optical":[47],"dimension":[49],"fractal.":[52],"Numerical":[53],"modeling":[54],"carried":[56],"out":[57],"and":[58],"support":[61],"analytical":[63],"results":[64],"obtained.":[65],"theory,":[67],"which":[68],"does":[69],"not":[70],"contain":[71],"any":[72],"adjustable":[73],"parameters,":[74],"agrees":[75],"well":[76],"with":[77],"experimental":[78],"data":[79],"on":[80],"surface-enhanced":[81],"over":[84],"wide":[86],"range.":[88]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":15},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":13}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}
