{"id":"https://openalex.org/W2198307641","doi":"https://doi.org/10.3139/124.110086","title":"The albedo problem for pure-quadratic anisotropic scattering with \u0130n\u00f6n\u00fc scattering: Dedicated to Prof. Dr. Erdal \u0130n\u00f6n\u00fc (1926\u20132007)","display_name":"The albedo problem for pure-quadratic anisotropic scattering with \u0130n\u00f6n\u00fc scattering: Dedicated to Prof. Dr. Erdal \u0130n\u00f6n\u00fc (1926\u20132007)","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2198307641","doi":"https://doi.org/10.3139/124.110086","mag":"2198307641"},"language":"en","primary_location":{"id":"doi:10.3139/124.110086","doi":"https://doi.org/10.3139/124.110086","is_oa":false,"landing_page_url":"https://doi.org/10.3139/124.110086","pdf_url":null,"source":{"id":"https://openalex.org/S191522244","display_name":"Kerntechnik","issn_l":"0932-3902","issn":["0932-3902","2195-8580"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-4"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kerntechnik","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"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/A5068891904","display_name":"R. G\u00f6khan T\u00fcreci","orcid":"https://orcid.org/0000-0001-6309-6300","observed_orcids":["https://orcid.org/0000-0001-6309-6300"]},"institutions":[{"id":"https://openalex.org/I45642913","display_name":"K\u0131r\u0131kkale University","ror":"https://ror.org/01zhwwf82","country_code":"TR","type":"education","lineage":["https://openalex.org/I45642913"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"R. G. T\u00fcreci","raw_affiliation_strings":["K\u0131r\u0131kkale University, Arts & Science Faculty, Department of Physics, 71450 K\u0131r\u0131kkale, Turkey. E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"K\u0131r\u0131kkale University, Arts & Science Faculty, Department of Physics, 71450 K\u0131r\u0131kkale, Turkey. E-mail:","institution_ids":["https://openalex.org/I45642913"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5068891904"],"corresponding_institution_ids":["https://openalex.org/I45642913"],"apc_list":{"value":2400,"currency":"EUR","value_usd":2712},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"75","issue":"5","first_page":"292","last_page":"297"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10597","display_name":"Nuclear reactor physics and engineering","score":0.7080000042915344,"subfield":{"id":"https://openalex.org/subfields/2104","display_name":"Nuclear Energy and Engineering"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10597","display_name":"Nuclear reactor physics and engineering","score":0.7080000042915344,"subfield":{"id":"https://openalex.org/subfields/2104","display_name":"Nuclear Energy and Engineering"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12304","display_name":"Radiative Heat Transfer Studies","score":0.17309999465942383,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T12299","display_name":"Radiation Shielding Materials Analysis","score":0.06120000034570694,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"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/albedo-problem","display_name":"albedo problem","score":0.9539999961853027},{"id":"https://openalex.org/keywords/semi-analytical-method","display_name":"semi-analytical method","score":0.9599999785423279},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"linear interpolation","score":0.8569999933242798}],"concepts":[{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.8492188453674316},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.603812038898468},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.5754551887512207},{"id":"https://openalex.org/C195886398","wikidata":"https://www.wikidata.org/wiki/Q2110050","display_name":"Albedo (alchemy)","level":3,"score":0.5712668299674988},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5682206749916077},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.5584942102432251},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.546738862991333},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5443986058235168},{"id":"https://openalex.org/C67105901","wikidata":"https://www.wikidata.org/wiki/Q903737","display_name":"Scattering theory","level":3,"score":0.4128396809101105},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37955915927886963},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.27730226516723633},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.22805407643318176},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2111324965953827},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21007832884788513},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10736313462257385},{"id":"https://openalex.org/C554144382","wikidata":"https://www.wikidata.org/wiki/Q213156","display_name":"Performance art","level":2,"score":0.0},{"id":"https://openalex.org/C52119013","wikidata":"https://www.wikidata.org/wiki/Q50637","display_name":"Art history","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3139/124.110086","doi":"https://doi.org/10.3139/124.110086","is_oa":false,"landing_page_url":"https://doi.org/10.3139/124.110086","pdf_url":null,"source":{"id":"https://openalex.org/S191522244","display_name":"Kerntechnik","issn_l":"0932-3902","issn":["0932-3902","2195-8580"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-4"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kerntechnik","raw_type":"journal-article"},{"id":"pmh:oai:acikerisim.kku.edu.tr:20.500.12587/4689","doi":null,"is_oa":false,"landing_page_url":"https://hdl.handle.net/20.500.12587/4689","pdf_url":null,"source":{"id":"https://openalex.org/S7407055314","display_name":"K\u0131r\u0131kkale University Institutional Repository","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":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1966033000","https://openalex.org/W1980818964","https://openalex.org/W1987605153","https://openalex.org/W1989234425","https://openalex.org/W1991845714","https://openalex.org/W1995476413","https://openalex.org/W2026464939","https://openalex.org/W2041217257","https://openalex.org/W2057132152","https://openalex.org/W2073649934","https://openalex.org/W2074237799","https://openalex.org/W2083076124"],"related_works":["https://openalex.org/W2980425117","https://openalex.org/W2609613157","https://openalex.org/W2099041373","https://openalex.org/W4205333727","https://openalex.org/W4297231461","https://openalex.org/W1971812637","https://openalex.org/W1995476413","https://openalex.org/W2766723308","https://openalex.org/W2588629562","https://openalex.org/W2057709227"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,16],"study":[3],"the":[4,20,27,35,47,57,66,81,85],"half-space":[5],"albedo":[6,67],"problem":[7],"has":[8,23,89],"been":[9,24,74,90,95],"investigated":[10],"for":[11],"highly":[12,17],"anisotropic":[13,18,29],"scattering.":[14,30],"For":[15],"scattering":[19,22,83],"\u0130n\u00f6n\u00fc":[21,82],"added":[25],"to":[26,64],"pure-quadratic":[28],"The":[31],"general":[32],"solution":[33],"of":[34,46],"one-speed":[36],"neutron":[37],"transport":[38],"equation":[39],"can":[40,61],"be":[41,62],"written":[42],"as":[43],"linear":[44,86],"combination":[45],"solutions":[48],"which":[49],"involve":[50],"these":[51,78],"scatterings.":[52],"Hence,":[53],"Case's":[54],"eigenfunctions":[55],"and":[56],"related":[58],"semi-analytical":[59],"methods":[60],"used":[63],"get":[65],"calculations.":[68],"Some":[69],"selected":[70],"numerical":[71],"data":[72],"have":[73,94],"tabulated.":[75],"To":[76],"compare":[77],"results":[79,93],"with":[80],"values":[84],"interpolation":[87],"technique":[88],"used.":[91],"Successful":[92],"achieved.":[96]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2016-06-24T00:00:00"}
