{"id":"https://openalex.org/W7166311131","doi":"https://doi.org/10.5281/zenodo.20967269","title":"Geometric Theory of Atomic Structure and the Periodic Table of Elements in Discrete Geometric Physics: Derivation of the Mendeleev Table from the 26-Vertex Cubic Lattice","display_name":"Geometric Theory of Atomic Structure and the Periodic Table of Elements in Discrete Geometric Physics: Derivation of the Mendeleev Table from the 26-Vertex Cubic Lattice","publication_year":2026,"publication_date":"2026-06-27","ids":{"openalex":"https://openalex.org/W7166311131","doi":"https://doi.org/10.5281/zenodo.20967269"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.20967269","doi":"https://doi.org/10.5281/zenodo.20967269","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.20967269","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"volume":null,"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.20967269","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5133500212","display_name":"Ivan Davidenko","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ivan Davidenko","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0008-7610-9404","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5133500212"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.5186722,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.454800009727478,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.454800009727478,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T13297","display_name":"History and advancements in chemistry","score":0.28200000524520874,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13458","display_name":"Astronomical and nuclear sciences","score":0.051899999380111694,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/periodic-table","display_name":"periodic table","score":0.8299999833106995},{"id":"https://openalex.org/keywords/topological-invariants","display_name":"topological invariants","score":0.6000000238418579},{"id":"https://openalex.org/keywords/solitons","display_name":"solitons","score":0.6570000052452087},{"id":"https://openalex.org/keywords/ionization-potential","display_name":"ionization potential","score":0.6539999842643738},{"id":"https://openalex.org/keywords/atomic-radius","display_name":"atomic radii","score":0.9990000128746033},{"id":"https://openalex.org/keywords/electronegativity","display_name":"electronegativity","score":0.9950000047683716},{"id":"https://openalex.org/keywords/spectral-lines","display_name":"spectral lines","score":0.9559999704360962},{"id":"https://openalex.org/keywords/variational-principle","display_name":"variational principle","score":0.8169999718666077},{"id":"https://openalex.org/keywords/discrete-schrodinger-equation","display_name":"discrete Schr\u00f6dinger equation","score":0.9679999947547913},{"id":"https://openalex.org/keywords/superheavy-elements","display_name":"superheavy elements","score":0.8960000276565552},{"id":"https://openalex.org/keywords/relativistic-corrections","display_name":"relativistic corrections","score":0.8700000047683716},{"id":"https://openalex.org/keywords/island-of-stability","display_name":"island of stability","score":0.9319999814033508}],"concepts":[{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5339000225067139},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4765999913215637},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4526999890804291},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4147000014781952},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4002000093460083},{"id":"https://openalex.org/C177293861","wikidata":"https://www.wikidata.org/wiki/Q78974","display_name":"Electronegativity","level":2,"score":0.3970000147819519},{"id":"https://openalex.org/C131707115","wikidata":"https://www.wikidata.org/wiki/Q210553","display_name":"Atomic theory","level":3,"score":0.3652999997138977},{"id":"https://openalex.org/C9259290","wikidata":"https://www.wikidata.org/wiki/Q745215","display_name":"Variational principle","level":2,"score":0.3555999994277954},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.3495999872684479},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.33250001072883606},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.32179999351501465},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.31940001249313354},{"id":"https://openalex.org/C198291218","wikidata":"https://www.wikidata.org/wiki/Q190382","display_name":"Ionization","level":3,"score":0.31709998846054077},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3075999915599823},{"id":"https://openalex.org/C132612359","wikidata":"https://www.wikidata.org/wiki/Q625641","display_name":"Lattice constant","level":3,"score":0.3003000020980835},{"id":"https://openalex.org/C96314035","wikidata":"https://www.wikidata.org/wiki/Q5282062","display_name":"Discrete system","level":2,"score":0.29429998993873596},{"id":"https://openalex.org/C154968394","wikidata":"https://www.wikidata.org/wiki/Q5535474","display_name":"Geometric analysis","level":5,"score":0.2883000075817108},{"id":"https://openalex.org/C75577371","wikidata":"https://www.wikidata.org/wiki/Q6497124","display_name":"Lattice model (finance)","level":3,"score":0.28200000524520874},{"id":"https://openalex.org/C124149750","wikidata":"https://www.wikidata.org/wiki/Q10693","display_name":"Periodic table","level":2,"score":0.2775000035762787},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.27549999952316284},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2718000113964081},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26739999651908875},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.267300009727478},{"id":"https://openalex.org/C42238305","wikidata":"https://www.wikidata.org/wiki/Q5370778","display_name":"Lattice field theory","level":3,"score":0.2614000141620636},{"id":"https://openalex.org/C14961307","wikidata":"https://www.wikidata.org/wiki/Q5377176","display_name":"Energy minimization","level":2,"score":0.2529999911785126},{"id":"https://openalex.org/C9342510","wikidata":"https://www.wikidata.org/wiki/Q25406","display_name":"Coulomb","level":3,"score":0.25200000405311584},{"id":"https://openalex.org/C180671464","wikidata":"https://www.wikidata.org/wiki/Q1186649","display_name":"Geometric algebra","level":4,"score":0.2517000138759613}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.20967269","doi":"https://doi.org/10.5281/zenodo.20967269","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.20967269","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.5281/zenodo.20967270","doi":"https://doi.org/10.5281/zenodo.20967270","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.20967270","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.5281/zenodo.20967269","doi":"https://doi.org/10.5281/zenodo.20967269","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.20967269","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W7166372917"],"related_works":[],"abstract_inverted_index":{"This":[0,199],"work":[1,216],"presents":[2],"a":[3,54,138],"complete":[4,106],"derivation":[5],"of":[6,10,29,48,57,85,150,176,212],"the":[7,27,30,49,51,82,86,92,142,151,156,189,208],"periodic":[8],"table":[9,107],"elements":[11,111,167],"and":[12,22,62,122,180,192,225],"all":[13,98,109],"atomic":[14,19,99],"properties":[15],"\u2014":[16,25],"ionisation":[17],"energies,":[18],"radii,":[20],"electronegativities,":[21],"spectral":[23],"lines":[24],"from":[26,81,188,196],"geometry":[28],"26\u2011connected":[31],"cubic":[32],"lattice":[33,93,190],"with":[34,114,161,207,227],"topological":[35,83],"invariant":[36],"\u03a3w":[37],"=":[38],"14.":[39],"It":[40],"is":[41,53,112,145,201],"shown":[42],"that":[43],"atoms":[44],"are":[45,64,169,186],"hierarchical":[46],"solitons":[47,66],"lattice:":[50],"nucleus":[52],"bound":[55],"state":[56],"nucleons":[58],"at":[59,68,178],"level":[60,69],"N=66,":[61],"electrons":[63],"light":[65],"(quasiparticles)":[67],"N\u2091=71.035.":[70],"Electron":[71],"shell":[72],"filling":[73],"numbers":[74],"(2,":[75],"8,":[76],"18,":[77],"32)":[78],"follow":[79],"directly":[80],"constraints":[84],"lattice.":[87],"The":[88,171,215],"variational":[89,193],"principle":[90],"on":[91,155],"yields":[94],"closed\u2011form":[95],"expressions":[96],"for":[97,108,132,165,223],"parameters":[100,184],"without":[101],"empirical":[102,197],"fitting":[103],"coefficients.":[104],"A":[105],"118":[110],"provided,":[113],"theoretical":[115],"values":[116],"compared":[117],"to":[118,204],"NIST,":[119],"CRC":[120],"Handbook,":[121],"Pauling":[123],"scale":[124],"data,":[125],"showing":[126],"excellent":[127],"agreement":[128,160],"(mean":[129],"deviation":[130,140],"<1%":[131],"Z\u226480).":[133],"Hydrogen,":[134],"which":[135],"previously":[136],"showed":[137],"4.4%":[139],"in":[141],"analytical":[143],"approximation,":[144],"refined":[146],"by":[147],"numerical":[148,183],"solution":[149],"discrete":[152],"Schr\u00f6dinger":[153],"equation":[154],"lattice,":[157],"giving":[158],"exact":[159],"experiment.":[162],"Relativistic":[163],"corrections":[164],"superheavy":[166],"(Z>80)":[168],"included.":[170],"theory":[172],"predicts":[173],"an":[174],"island":[175],"stability":[177],"Z\u2248120\u2013126":[179],"N\u2248180\u2013190.":[181],"All":[182],"used":[185],"derived":[187],"invariants":[191],"minimisation,":[194],"not":[195],"fitting.":[198],"version":[200],"fully":[202],"updated":[203],"be":[205],"consistent":[206],"corrected":[209],"Volume":[210],"1":[211],"DGP":[213],"(2026).":[214],"includes":[217],"full":[218],"derivations,":[219],"tables,":[220],"Python":[221],"code":[222],"reproduction,":[224],"comparisons":[226],"experimental":[228],"data.":[229]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2026-06-28T00:00:00"}