{"id":"https://openalex.org/W2063764010","doi":"https://doi.org/10.1103/physrevb.5.3101","title":"Frequency- and Wave-Vector-Dependent Dielectric Function for Silicon","display_name":"Frequency- and Wave-Vector-Dependent Dielectric Function for Silicon","publication_year":1972,"publication_date":"1972-04-15","ids":{"openalex":"https://openalex.org/W2063764010","doi":"https://doi.org/10.1103/physrevb.5.3101","mag":"2063764010"},"language":"en","primary_location":{"id":"doi:10.1103/physrevb.5.3101","doi":"https://doi.org/10.1103/physrevb.5.3101","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.5.3101","pdf_url":null,"source":{"id":"https://openalex.org/S4210208989","display_name":"Physical review. B, Solid state","issn_l":"0556-2805","issn":["0556-2805"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://escholarship.org/content/qt7x9254w5/qt7x9254w5.pdf?t=p2au0g","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019236302","display_name":"John P. Walter","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John P. Walter","raw_affiliation_strings":["Department of Physics, University of California and Inorganic Materials Research Division, Lawrence Radiation Laboratory, Berkeley, California 94720"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, University of California and Inorganic Materials Research Division, Lawrence Radiation Laboratory, Berkeley, California 94720","institution_ids":["https://openalex.org/I148283060","https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068578690","display_name":"Marvin L. Cohen","orcid":"https://orcid.org/0000-0002-1489-9227","observed_orcids":["https://orcid.org/0000-0002-1489-9227"]},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marvin L. Cohen","raw_affiliation_strings":["Department of Physics, University of California and Inorganic Materials Research Division, Lawrence Radiation Laboratory, Berkeley, California 94720"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, University of California and Inorganic Materials Research Division, Lawrence Radiation Laboratory, Berkeley, California 94720","institution_ids":["https://openalex.org/I148283060","https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.752,"has_fulltext":true,"cited_by_count":157,"citation_normalized_percentile":{"value":0.98970075,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":100},"biblio":{"volume":"5","issue":"8","first_page":"3101","last_page":"3110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14311","display_name":"Electrical and Electromagnetic Research","score":0.2556000053882599,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T14311","display_name":"Electrical and Electromagnetic Research","score":0.2556000053882599,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10295","display_name":"Plasmonic and Surface Plasmon Research","score":0.08810000121593475,"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/T11853","display_name":"Semiconductor materials and interfaces","score":0.08219999819993973,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dielectric-function","display_name":"dielectric function","score":0.7910000085830688},{"id":"https://openalex.org/keywords/silicon","display_name":"silicon","score":0.9800000190734863},{"id":"https://openalex.org/keywords/frequency-dependent-dielectric-function","display_name":"frequency-dependent dielectric function","score":0.7450000047683716},{"id":"https://openalex.org/keywords/band-structure","display_name":"electronic band structure","score":0.5049999952316284},{"id":"https://openalex.org/keywords/empirical-pseudopotential-method","display_name":"empirical pseudopotential method","score":0.8610000014305115},{"id":"https://openalex.org/keywords/random-phase-approximation","display_name":"random phase approximation","score":0.703000009059906},{"id":"https://openalex.org/keywords/free-electron-gas","display_name":"free electron gas","score":0.9070000052452087},{"id":"https://openalex.org/keywords/optical-properties","display_name":"optical properties","score":0.43700000643730164}],"concepts":[{"id":"https://openalex.org/C132378524","wikidata":"https://www.wikidata.org/wiki/Q769463","display_name":"Pseudopotential","level":2,"score":0.8476848602294922},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.8128784894943237},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7083485126495361},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.6490022540092468},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5593869090080261},{"id":"https://openalex.org/C138309006","wikidata":"https://www.wikidata.org/wiki/Q901387","display_name":"Random phase approximation","level":2,"score":0.5490506291389465},{"id":"https://openalex.org/C109496249","wikidata":"https://www.wikidata.org/wiki/Q657009","display_name":"Wave vector","level":2,"score":0.5272663831710815},{"id":"https://openalex.org/C544956773","wikidata":"https://www.wikidata.org/wiki/Q670","display_name":"Silicon","level":2,"score":0.5068357586860657},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.4499897360801697},{"id":"https://openalex.org/C133386390","wikidata":"https://www.wikidata.org/wiki/Q184996","display_name":"Dielectric","level":2,"score":0.4437127113342285},{"id":"https://openalex.org/C2988029435","wikidata":"https://www.wikidata.org/wiki/Q211569","display_name":"Dielectric function","level":3,"score":0.436065673828125},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.4133141040802002},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.406344473361969},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.37159082293510437},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1103/physrevb.5.3101","doi":"https://doi.org/10.1103/physrevb.5.3101","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.5.3101","pdf_url":null,"source":{"id":"https://openalex.org/S4210208989","display_name":"Physical review. B, Solid state","issn_l":"0556-2805","issn":["0556-2805"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"pmh:oai:escholarship.org/ark:/13030/qt7x9254w5","doi":null,"is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/7x9254w5","pdf_url":"https://escholarship.org/content/qt7x9254w5/qt7x9254w5.pdf?t=p2au0g","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:escholarship.org/ark:/13030/qt7x9254w5","doi":null,"is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/7x9254w5","pdf_url":"https://escholarship.org/content/qt7x9254w5/qt7x9254w5.pdf?t=p2au0g","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2063764010.pdf","grobid_xml":"https://content.openalex.org/works/W2063764010.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1560312716","https://openalex.org/W2000815874","https://openalex.org/W2007771123","https://openalex.org/W2025969085","https://openalex.org/W2038997542","https://openalex.org/W2069351540","https://openalex.org/W2073855168"],"related_works":["https://openalex.org/W2000815874","https://openalex.org/W2001381425","https://openalex.org/W2548024300","https://openalex.org/W2042000416","https://openalex.org/W2065142355","https://openalex.org/W3011618081","https://openalex.org/W2005940434","https://openalex.org/W2040325487","https://openalex.org/W2790913091","https://openalex.org/W2039178798"],"abstract_inverted_index":{"The":[0,12],"frequency-":[1],"and":[2,15,44,55],"wave-vector-dependent":[3],"complex":[4],"dielectric":[5],"function":[6],"$\\ensuremath{\\epsilon}(\\stackrel{\\ensuremath{\\rightarrow}}{\\mathrm{q}},\\ensuremath{\\omega})$":[7],"is":[8,49],"calculated":[9],"for":[10,63],"silicon.":[11],"energy":[13],"eigenvalues":[14],"eigenvectors":[16],"which":[17],"are":[18,34],"used":[19],"have":[20],"been":[21],"obtained":[22],"from":[23],"energy-band":[24],"calculations":[25],"based":[26],"on":[27],"the":[28,37,41,52,56,68],"empirical":[29],"pseudopotential":[30],"method.":[31],"Explicit":[32],"results":[33,54,57],"given":[35],"in":[36,40,67],"[100]":[38],"direction":[39],"range":[42],"$0\\ensuremath{\\le}q\\ensuremath{\\le}(\\frac{2\\ensuremath{\\pi}}{a})$":[43],"$0\\ensuremath{\\le}\\ensuremath{\\hbar}\\ensuremath{\\omega}\\ensuremath{\\le}24$":[45],"eV.":[46],"A":[47],"comparison":[48],"made":[50],"between":[51],"present":[53],"of":[58,61],"a":[59,64],"calculation":[60],"$\\ensuremath{\\epsilon}(q,\\ensuremath{\\omega})$":[62],"free-electron":[65],"gas":[66],"random-phase":[69],"approximation.":[70]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":27},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}