{"id":"https://openalex.org/W2963542784","doi":"https://doi.org/10.1137/15m1043418","title":"Twisted X-Rays: Incoming Waveforms Yielding Discrete Diffraction Patterns for Helical Structures","display_name":"Twisted X-Rays: Incoming Waveforms Yielding Discrete Diffraction Patterns for Helical Structures","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2963542784","doi":"https://doi.org/10.1137/15m1043418","mag":"2963542784"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1043418","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1506.04240","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044120743","display_name":"Gero Friesecke","orcid":"https://orcid.org/0000-0003-0066-3966"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gero Friesecke","raw_affiliation_strings":["Technical University of Munich"],"affiliations":[{"raw_affiliation_string":"Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000330776","display_name":"Richard D. James","orcid":"https://orcid.org/0000-0001-6019-6613"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Richard D. James","raw_affiliation_strings":["Aerospace Engineering and Mechanics"],"affiliations":[{"raw_affiliation_string":"Aerospace Engineering and Mechanics","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020912846","display_name":"Dominik J\u00fcstel","orcid":"https://orcid.org/0000-0002-5464-6291"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dominik J\u00fcstel","raw_affiliation_strings":["Technical University of Munich"],"affiliations":[{"raw_affiliation_string":"Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.388,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":6,"citation_normalized_percentile":{"value":0.690551,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":82,"max":83},"biblio":{"volume":"76","issue":"3","first_page":"1191","last_page":"1218"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11048","display_name":"Bacteriophages and microbial interactions","score":0.9897,"subfield":{"id":"https://openalex.org/subfields/2303","display_name":"Ecology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11048","display_name":"Bacteriophages and microbial interactions","score":0.9897,"subfield":{"id":"https://openalex.org/subfields/2303","display_name":"Ecology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10184","display_name":"Plant Molecular Biology Research","score":0.9664,"subfield":{"id":"https://openalex.org/subfields/1110","display_name":"Plant Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11927","display_name":"Plant Reproductive Biology","score":0.9654,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/helix","display_name":"Helix (gastropod)","score":0.6146161},{"id":"https://openalex.org/keywords/biomolecular-structure","display_name":"Biomolecular Structure","score":0.4457357}],"concepts":[{"id":"https://openalex.org/C207114421","wikidata":"https://www.wikidata.org/wiki/Q133900","display_name":"Diffraction","level":2,"score":0.85583705},{"id":"https://openalex.org/C2778530040","wikidata":"https://www.wikidata.org/wiki/Q1937315","display_name":"Helix (gastropod)","level":3,"score":0.6146161},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.58974314},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5660401},{"id":"https://openalex.org/C50515024","wikidata":"https://www.wikidata.org/wiki/Q826582","display_name":"X-ray crystallography","level":3,"score":0.51795566},{"id":"https://openalex.org/C513720949","wikidata":"https://www.wikidata.org/wiki/Q1778729","display_name":"Carbon nanotube","level":2,"score":0.451267},{"id":"https://openalex.org/C38111792","wikidata":"https://www.wikidata.org/wiki/Q15712714","display_name":"Biomolecular structure","level":3,"score":0.4457357},{"id":"https://openalex.org/C197424946","wikidata":"https://www.wikidata.org/wiki/Q1165717","display_name":"Waveform","level":3,"score":0.4148243},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.39395663},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.37369278},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.37001556},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33080637},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.30649707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21948054},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.18116173},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.17411989},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17324406},{"id":"https://openalex.org/C47701112","wikidata":"https://www.wikidata.org/wiki/Q735188","display_name":"Protein structure","level":2,"score":0.12451178},{"id":"https://openalex.org/C46141821","wikidata":"https://www.wikidata.org/wiki/Q209402","display_name":"Nuclear magnetic resonance","level":1,"score":0.09427416},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C2779965526","wikidata":"https://www.wikidata.org/wiki/Q308841","display_name":"Snail","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1043418","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1506.04240","pdf_url":"https://arxiv.org/pdf/1506.04240","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"http://arxiv.org/abs/1506.04240","pdf_url":null,"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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1506.04240","pdf_url":"https://arxiv.org/pdf/1506.04240","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[{"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3","score":0.84}],"grants":[{"funder":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation","award_id":null},{"funder":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft","award_id":"SFB-TR 109"},{"funder":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research","award_id":"N00014-14-0714"},{"funder":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research","award_id":"FA955012-1-0458"},{"funder":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research","award_id":"FA9550-15-1-0207"}],"datasets":[],"versions":[],"referenced_works_count":15,"referenced_works":["https://openalex.org/W1970402128","https://openalex.org/W1981479929","https://openalex.org/W2018160149","https://openalex.org/W2054322765","https://openalex.org/W2066858417","https://openalex.org/W2078507839","https://openalex.org/W2085651933","https://openalex.org/W2114476619","https://openalex.org/W2116109971","https://openalex.org/W2132915523","https://openalex.org/W2135259735","https://openalex.org/W2164819609","https://openalex.org/W3121679693","https://openalex.org/W4247073029","https://openalex.org/W4248366565"],"related_works":["https://openalex.org/W4367555392","https://openalex.org/W3040712279","https://openalex.org/W2538520412","https://openalex.org/W2374664672","https://openalex.org/W2364769705","https://openalex.org/W2176409448","https://openalex.org/W2129841057","https://openalex.org/W2083832789","https://openalex.org/W2056136368","https://openalex.org/W1974895211"],"abstract_inverted_index":{"Conventional":[0],"X-ray":[1,122],"methods":[2],"use":[3],"incoming":[4,24,52],"plane":[5],"waves":[6,58],"which":[7,26,54],"result":[8],"in":[9,82,115,125],"discrete":[10,28],"diffraction":[11,29,41,78],"patterns":[12,30,42,79],"when":[13,31],"scattered":[14,32],"at":[15,33],"crystals.":[16],"Here":[17],"we":[18,38,55],"find,":[19],"by":[20],"a":[21,141],"systematic":[22],"method,":[23],"waveforms":[25],"exhibit":[27],"helical":[34,157],"structures.":[35],"As":[36],"examples":[37],"present":[39],"simulated":[40],"of":[43,75,87,151],"carbon":[44],"nanotubes":[45],"and":[46,103,107,154],"tobacco":[47],"mosaic":[48],"virus.":[49],"The":[50,73],"new":[51],"waveforms,":[53],"call":[56],"twisted":[57,85,121],"due":[59],"to":[60,70,94,164],"their":[61,169],"geometric":[62],"shape,":[63],"are":[64],"found":[65],"theoretically":[66],"as":[67],"closed-form":[68],"solutions":[69],"Maxwell's":[71],"equations.":[72],"theory":[74],"the":[76,88,97,101,104,108,112,116,126,147,162],"ensuing":[77],"is":[80,92],"developed":[81],"detail.":[83],"A":[84],"analogue":[86],"Von":[89],"Laue":[90],"condition":[91],"seen":[93],"hold,":[95],"with":[96,156],"peak":[98,109],"locations":[99],"encoding":[100],"symmetry":[102],"helix":[105],"parameters,":[106],"intensities":[110],"indicating":[111],"electronic":[113],"structure":[114,150],"unit":[117],"cell.":[118],"If":[119],"suitable":[120],"sources":[123],"can":[124],"future":[127],"be":[128],"realized":[129],"experimentally,":[130],"it":[131],"appears":[132],"from":[133],"our":[134],"mathematical":[135],"results":[136],"that":[137],"they":[138],"will":[139],"provide":[140],"powerful":[142],"tool":[143],"for":[144],"directly":[145],"determining":[146],"detailed":[148],"atomic":[149],"numerous":[152],"biomolecules":[153],"nanostructures":[155],"symmetries.":[158],"This":[159],"would":[160],"eliminate":[161],"need":[163],"crystallize":[165],"those":[166],"structures":[167],"or":[168],"subunits.":[170]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2963542784","counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-01-02T16:05:15.856594","created_date":"2019-07-30"}