{"id":"https://openalex.org/W2607441980","doi":"https://doi.org/10.1007/s00332-018-9460-3","title":"On Born\u2019s Conjecture about Optimal Distribution of Charges for an Infinite Ionic Crystal","display_name":"On Born\u2019s Conjecture about Optimal Distribution of Charges for an Infinite Ionic Crystal","publication_year":2018,"publication_date":"2018-04-16","ids":{"openalex":"https://openalex.org/W2607441980","doi":"https://doi.org/10.1007/s00332-018-9460-3","mag":"2607441980"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-018-9460-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-018-9460-3","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1704.02887","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060076655","display_name":"Laurent B\u00e9termin","orcid":"https://orcid.org/0000-0003-4070-3344"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Laurent B\u00e9termin","raw_affiliation_strings":["QMATH, Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100, Copenhagen \u00d8, Denmark"],"raw_orcid":"https://orcid.org/0000-0003-4070-3344","affiliations":[{"raw_affiliation_string":"QMATH, Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100, Copenhagen \u00d8, Denmark","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063813071","display_name":"Hans Kn\u00fcpfer","orcid":"https://orcid.org/0000-0002-5861-772X"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hans Kn\u00fcpfer","raw_affiliation_strings":["Institute of Applied Mathematics and IWR, University of Heidelberg, Im Neuenheimer Feld 205, 69120, Heidelberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics and IWR, University of Heidelberg, Im Neuenheimer Feld 205, 69120, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060076655"],"corresponding_institution_ids":["https://openalex.org/I124055696"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.6407,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.92736893,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"28","issue":"5","first_page":"1629","last_page":"1656"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11887","display_name":"Quasicrystal Structures and Properties","score":0.991599977016449,"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"}},{"id":"https://openalex.org/T12613","display_name":"X-ray Diffraction in Crystallography","score":0.9847000241279602,"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/conjecture","display_name":"Conjecture","score":0.8025795221328735},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5510556697845459},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5115693211555481},{"id":"https://openalex.org/keywords/ionic-bonding","display_name":"Ionic bonding","score":0.5111523270606995},{"id":"https://openalex.org/keywords/crystal","display_name":"Crystal (programming language)","score":0.4654591381549835},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36915385723114014},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3432813286781311},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3315064013004303},{"id":"https://openalex.org/keywords/ion","display_name":"Ion","score":0.23490986227989197},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.17910194396972656},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1719040870666504}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8025795221328735},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5510556697845459},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5115693211555481},{"id":"https://openalex.org/C2182769","wikidata":"https://www.wikidata.org/wiki/Q62500","display_name":"Ionic bonding","level":3,"score":0.5111523270606995},{"id":"https://openalex.org/C2781285689","wikidata":"https://www.wikidata.org/wiki/Q21921428","display_name":"Crystal (programming language)","level":2,"score":0.4654591381549835},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36915385723114014},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3432813286781311},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3315064013004303},{"id":"https://openalex.org/C145148216","wikidata":"https://www.wikidata.org/wiki/Q36496","display_name":"Ion","level":2,"score":0.23490986227989197},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17910194396972656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1719040870666504},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s00332-018-9460-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00332-018-9460-3","pdf_url":null,"source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1704.02887","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1704.02887","pdf_url":"https://arxiv.org/pdf/1704.02887","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:HAL:hal-01504938v1","is_oa":false,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-01504938","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.archives-ouvertes.fr/hal-01504938","raw_type":"\\ninfo:eu-repo/semantics/preprint\\n"},{"id":"pmh:oai:HAL:hal-01504938v2","is_oa":false,"landing_page_url":"https://hal.science/hal-01504938","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2017","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/9a4da722-eabb-4a5e-80c3-28a9d8e1182a","is_oa":false,"landing_page_url":"https://curis.ku.dk/portal/da/publications/on-borns-conjecture-about-optimal-distribution-of-charges-for-an-infinite-ionic-crystal(9a4da722-eabb-4a5e-80c3-28a9d8e1182a).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/9a4da722-eabb-4a5e-80c3-28a9d8e1182a","is_oa":true,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/9a4da722-eabb-4a5e-80c3-28a9d8e1182a","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"B\u00e9termin , L & Kn\u00fcpfer , H 2018 , ' On Born\u2019s Conjecture about Optimal Distribution of Charges for an Infinite Ionic Crystal ' , Journal of Nonlinear Science , vol. 28 , no. 5 , pp. 1629\u20131656 . https://doi.org/10.1007/s00332-018-9460-3","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1704.02887","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1704.02887","pdf_url":"https://arxiv.org/pdf/1704.02887","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":71,"referenced_works":["https://openalex.org/W1492984998","https://openalex.org/W1539322612","https://openalex.org/W1545134755","https://openalex.org/W1599439450","https://openalex.org/W1644604237","https://openalex.org/W1879145692","https://openalex.org/W1968470719","https://openalex.org/W1985323904","https://openalex.org/W1990829398","https://openalex.org/W1995990042","https://openalex.org/W1997105089","https://openalex.org/W1998847779","https://openalex.org/W1999890295","https://openalex.org/W2001676859","https://openalex.org/W2023085269","https://openalex.org/W2025186532","https://openalex.org/W2025658979","https://openalex.org/W2025752753","https://openalex.org/W2027022791","https://openalex.org/W2029545793","https://openalex.org/W2029597787","https://openalex.org/W2032793159","https://openalex.org/W2033500205","https://openalex.org/W2034619029","https://openalex.org/W2035811797","https://openalex.org/W2037030119","https://openalex.org/W2040881478","https://openalex.org/W2041665100","https://openalex.org/W2056007801","https://openalex.org/W2062926473","https://openalex.org/W2063117954","https://openalex.org/W2070831463","https://openalex.org/W2082852204","https://openalex.org/W2085339746","https://openalex.org/W2099765952","https://openalex.org/W2100955645","https://openalex.org/W2111496551","https://openalex.org/W2136295887","https://openalex.org/W2148739324","https://openalex.org/W2152468302","https://openalex.org/W2157081197","https://openalex.org/W2169626414","https://openalex.org/W2289880074","https://openalex.org/W2312201898","https://openalex.org/W2320094451","https://openalex.org/W2345927222","https://openalex.org/W2479404079","https://openalex.org/W2504219836","https://openalex.org/W2520410766","https://openalex.org/W2593474803","https://openalex.org/W2766371539","https://openalex.org/W2785891608","https://openalex.org/W2798453318","https://openalex.org/W2953374503","https://openalex.org/W2962871321","https://openalex.org/W2963127802","https://openalex.org/W2963337767","https://openalex.org/W2963815608","https://openalex.org/W2964314435","https://openalex.org/W3022822279","https://openalex.org/W3098959350","https://openalex.org/W3099047731","https://openalex.org/W3099614504","https://openalex.org/W3103274847","https://openalex.org/W3105190223","https://openalex.org/W3105309195","https://openalex.org/W3105442708","https://openalex.org/W3122597197","https://openalex.org/W4206749691","https://openalex.org/W4251616877","https://openalex.org/W4292408570"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4300899577","https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W4393325717","https://openalex.org/W1973978937","https://openalex.org/W121594594","https://openalex.org/W2784911598","https://openalex.org/W4287023968"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2020-11-23T00:00:00"}
