{"id":"https://openalex.org/W2010697271","doi":"https://doi.org/10.1063/1.1732426","title":"Theory of Double-Layer Differential Capacitance in Electrolytes","display_name":"Theory of Double-Layer Differential Capacitance in Electrolytes","publication_year":1962,"publication_date":"1962-06-01","ids":{"openalex":"https://openalex.org/W2010697271","doi":"https://doi.org/10.1063/1.1732426","mag":"2010697271"},"language":"en","primary_location":{"id":"doi:10.1063/1.1732426","doi":"https://doi.org/10.1063/1.1732426","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.1732426","pdf_url":null,"source":{"id":"https://openalex.org/S77047749","display_name":"The Journal of Chemical Physics","issn_l":"0021-9606","issn":["0021-9606","1089-7690","1520-9032"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Chemical Physics","raw_type":"journal-article"},"volume":null,"type":"article","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/A5109997686","display_name":"James Ross Macdonald","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I74760111","display_name":"Texas Instruments (United States)","ror":"https://ror.org/03vsmv677","country_code":"US","type":"company","lineage":["https://openalex.org/I74760111"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Ross Macdonald","raw_affiliation_strings":["Texas Instruments Inc., Dallas 22, Texas"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Texas Instruments Inc., Dallas 22, Texas","institution_ids":["https://openalex.org/I74760111"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027591160","display_name":"C. A. Barlow","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I74760111","display_name":"Texas Instruments (United States)","ror":"https://ror.org/03vsmv677","country_code":"US","type":"company","lineage":["https://openalex.org/I74760111"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Carl A. Barlow","raw_affiliation_strings":["Texas Instruments Inc., Dallas 22, Texas"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Texas Instruments Inc., Dallas 22, Texas","institution_ids":["https://openalex.org/I74760111"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74760111"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":7.4645,"has_fulltext":false,"cited_by_count":171,"citation_normalized_percentile":{"value":0.98430899,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"36","issue":"11","first_page":"3062","last_page":"3080"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12274","display_name":"Electrostatics and Colloid Interactions","score":0.9965999722480774,"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"}},"topics":[{"id":"https://openalex.org/T12274","display_name":"Electrostatics and Colloid Interactions","score":0.9965999722480774,"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/T11434","display_name":"Electrochemical Analysis and Applications","score":0.0010999999940395355,"subfield":{"id":"https://openalex.org/subfields/1603","display_name":"Electrochemistry"},"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/T14488","display_name":"Chemical and Physical Studies","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"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/electric-double-layer","display_name":"electric double layer","score":0.8149999976158142},{"id":"https://openalex.org/keywords/differential-capacitance","display_name":"differential capacitance","score":0.9909999966621399},{"id":"https://openalex.org/keywords/dielectric-saturation","display_name":"dielectric saturation","score":0.7039999961853027},{"id":"https://openalex.org/keywords/specific-adsorption","display_name":"specific adsorption","score":0.6079999804496765},{"id":"https://openalex.org/keywords/anion-adsorption","display_name":"anion adsorption","score":0.7089999914169312},{"id":"https://openalex.org/keywords/electrocapillary-maximum","display_name":"electrocapillary maximum","score":0.6840000152587891},{"id":"https://openalex.org/keywords/electrostatic-pressure","display_name":"electrostatic pressure","score":0.6290000081062317},{"id":"https://openalex.org/keywords/electrostriction","display_name":"electrostriction","score":0.718999981880188},{"id":"https://openalex.org/keywords/compressibility","display_name":"compressibility","score":0.6309999823570251},{"id":"https://openalex.org/keywords/gouy-chapman-model","display_name":"Gouy-Chapman theory","score":0.7020000219345093},{"id":"https://openalex.org/keywords/mercury-electrode","display_name":"mercury electrode","score":0.8069999814033508},{"id":"https://openalex.org/keywords/anodic-polarization","display_name":"anodic polarization","score":0.6340000033378601},{"id":"https://openalex.org/keywords/temperature-dependence","display_name":"temperature dependence","score":0.41499999165534973},{"id":"https://openalex.org/keywords/pressure-dependence","display_name":"pressure dependence","score":0.5600000023841858},{"id":"https://openalex.org/keywords/electric-field-dependence","display_name":"electric field dependence","score":0.5849999785423279},{"id":"https://openalex.org/keywords/orientational-polarization","display_name":"orientational polarization","score":0.4359999895095825}],"concepts":[{"id":"https://openalex.org/C133386390","wikidata":"https://www.wikidata.org/wiki/Q184996","display_name":"Dielectric","level":2,"score":0.7088800072669983},{"id":"https://openalex.org/C150072415","wikidata":"https://www.wikidata.org/wiki/Q5275337","display_name":"Differential capacitance","level":4,"score":0.6694165468215942},{"id":"https://openalex.org/C173523689","wikidata":"https://www.wikidata.org/wiki/Q215589","display_name":"Dipole","level":2,"score":0.6640047430992126},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.6524856090545654},{"id":"https://openalex.org/C7070889","wikidata":"https://www.wikidata.org/wiki/Q902488","display_name":"Monolayer","level":2,"score":0.6422699093818665},{"id":"https://openalex.org/C30066665","wikidata":"https://www.wikidata.org/wiki/Q164399","display_name":"Capacitance","level":3,"score":0.6255712509155273},{"id":"https://openalex.org/C68801617","wikidata":"https://www.wikidata.org/wiki/Q162908","display_name":"Electrolyte","level":3,"score":0.587817370891571},{"id":"https://openalex.org/C9930424","wikidata":"https://www.wikidata.org/wiki/Q7426587","display_name":"Saturation (graph theory)","level":2,"score":0.5545432567596436},{"id":"https://openalex.org/C150394285","wikidata":"https://www.wikidata.org/wiki/Q180254","display_name":"Adsorption","level":2,"score":0.5357939600944519},{"id":"https://openalex.org/C2778026820","wikidata":"https://www.wikidata.org/wiki/Q15703126","display_name":"Double-layer capacitance","level":5,"score":0.5022156238555908},{"id":"https://openalex.org/C205049153","wikidata":"https://www.wikidata.org/wiki/Q2698605","display_name":"Polarization (electrochemistry)","level":2,"score":0.495978444814682},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.4880629777908325},{"id":"https://openalex.org/C17525397","wikidata":"https://www.wikidata.org/wiki/Q176140","display_name":"Electrode","level":2,"score":0.4754970967769623},{"id":"https://openalex.org/C136774802","wikidata":"https://www.wikidata.org/wiki/Q962292","display_name":"Dropping mercury electrode","level":4,"score":0.46219000220298767},{"id":"https://openalex.org/C2778913293","wikidata":"https://www.wikidata.org/wiki/Q5300055","display_name":"Double layer (biology)","level":3,"score":0.4410936236381531},{"id":"https://openalex.org/C113196181","wikidata":"https://www.wikidata.org/wiki/Q485223","display_name":"Analytical Chemistry (journal)","level":2,"score":0.4078155755996704},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.365518182516098},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.22051340341567993},{"id":"https://openalex.org/C2779227376","wikidata":"https://www.wikidata.org/wiki/Q6505497","display_name":"Layer (electronics)","level":2,"score":0.2166863977909088},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.18870750069618225},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.16576698422431946},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10785186290740967},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.10767108201980591},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.08899489045143127},{"id":"https://openalex.org/C7040849","wikidata":"https://www.wikidata.org/wiki/Q899580","display_name":"Dielectric spectroscopy","level":4,"score":0.08096063137054443},{"id":"https://openalex.org/C52859227","wikidata":"https://www.wikidata.org/wiki/Q7877","display_name":"Electrochemistry","level":3,"score":0.07925048470497131},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1063/1.1732426","doi":"https://doi.org/10.1063/1.1732426","is_oa":false,"landing_page_url":"https://doi.org/10.1063/1.1732426","pdf_url":null,"source":{"id":"https://openalex.org/S77047749","display_name":"The Journal of Chemical Physics","issn_l":"0021-9606","issn":["0021-9606","1089-7690","1520-9032"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Chemical Physics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/6","display_name":"Clean water and sanitation","score":0.7799999713897705}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":69,"referenced_works":["https://openalex.org/W1532335595","https://openalex.org/W1599289509","https://openalex.org/W1607286065","https://openalex.org/W1632682241","https://openalex.org/W1678484621","https://openalex.org/W1968642869","https://openalex.org/W1969368934","https://openalex.org/W1969403712","https://openalex.org/W1969531540","https://openalex.org/W1970510837","https://openalex.org/W1995597192","https://openalex.org/W1996804364","https://openalex.org/W2000448197","https://openalex.org/W2002844498","https://openalex.org/W2005238245","https://openalex.org/W2005523448","https://openalex.org/W2005594203","https://openalex.org/W2009033448","https://openalex.org/W2011691443","https://openalex.org/W2013472311","https://openalex.org/W2016540952","https://openalex.org/W2018745149","https://openalex.org/W2022939647","https://openalex.org/W2023229606","https://openalex.org/W2024689178","https://openalex.org/W2025759763","https://openalex.org/W2028054473","https://openalex.org/W2028889254","https://openalex.org/W2031227837","https://openalex.org/W2032993948","https://openalex.org/W2035736653","https://openalex.org/W2042438728","https://openalex.org/W2043068952","https://openalex.org/W2046035064","https://openalex.org/W2048827469","https://openalex.org/W2050233087","https://openalex.org/W2051232057","https://openalex.org/W2055148100","https://openalex.org/W2055213812","https://openalex.org/W2056824068","https://openalex.org/W2066651181","https://openalex.org/W2068765233","https://openalex.org/W2069999123","https://openalex.org/W2072080017","https://openalex.org/W2072419120","https://openalex.org/W2075315331","https://openalex.org/W2076140703","https://openalex.org/W2080641575","https://openalex.org/W2087321989","https://openalex.org/W2087982431","https://openalex.org/W2092553897","https://openalex.org/W2095599606","https://openalex.org/W2096596036","https://openalex.org/W2102358465","https://openalex.org/W2105553563","https://openalex.org/W2112330239","https://openalex.org/W2128331575","https://openalex.org/W2316176511","https://openalex.org/W2317325143","https://openalex.org/W2324876317","https://openalex.org/W2330752174","https://openalex.org/W2332897644","https://openalex.org/W2332926981","https://openalex.org/W2355887259","https://openalex.org/W2586907554","https://openalex.org/W2803077453","https://openalex.org/W2912711359","https://openalex.org/W4210957215","https://openalex.org/W4239125562"],"related_works":["https://openalex.org/W2075219690","https://openalex.org/W4214932875","https://openalex.org/W2034348816","https://openalex.org/W1975155572","https://openalex.org/W2962701153","https://openalex.org/W2883136681","https://openalex.org/W4382134702","https://openalex.org/W2047916559","https://openalex.org/W2085599394","https://openalex.org/W2046629326"],"abstract_inverted_index":{"A":[0],"theory":[1,88,121,133,287],"of":[2,19,46,58,81,89,93,118,130,134,141,155,186,239,250,280,305,331,352,363,372,376,402,417,419,444],"the":[3,44,66,70,76,86,90,94,103,116,128,131,135,139,160,176,181,184,193,195,215,221,236,240,286,289,303,340,345,349,353,358,361,364,373,400,414,420,424,430,437,449],"double":[4,78,95],"layer":[5,79,96,178,451],"in":[6,24,32,43,65,102,175,192,220,231,324,388,434,442],"uni-univalent":[7],"unadsorbed":[8],"electrolytes":[9],"is":[10,40,52,100,146,327,371,397,410,440,452],"developed":[11],"and":[12,30,110,122,199,225,252,268,309,314,319,336,347,381,393,405],"used":[13,113],"to":[14,28,55,75,148,171,246,253,263,288,329,399,432],"analyze":[15],"Grahame's":[16,84],"experimental":[17,290],"measurements":[18],"differential":[20,426],"capacitance":[21,422,427,439],"for":[22,106,274,302,378],"NaF":[23],"water":[25,380,389],"at":[26,34,180,390],"0\u00b0":[27],"85\u00b0C":[29],"KF":[31],"methanol":[33,382],"25\u00b0C.":[35],"Excellent":[36],"agreement":[37,119],"with":[38,278,357,436],"experiment":[39,123],"obtained":[41,283],"except":[42],"region":[45,145,326,366],"strong":[47],"anodic":[48,395],"polarization;":[49],"this":[50,144,325],"disagreement":[51],"tentatively":[53],"ascribed":[54],"specific":[56,142,403,446],"adsorption":[57,143,404],"anions,":[59],"an":[60,232,247,337],"effect":[61],"not":[62,348],"quantitatively":[63],"considered":[64,109],"present":[67,104,132],"work.":[68],"Although":[69],"quantities":[71],"calculated":[72,205],"herein":[73],"relate":[74],"entire":[77],"as,":[80],"course,":[82],"do":[83],"data,":[85],"Gouy\u2014Chapman":[87],"diffuse":[91],"part":[92],"(without":[97],"dielectric":[98,173,197,201,266,310,359,406],"saturation)":[99],"adequate":[101],"situation":[105],"all":[107,261],"concentrations":[108],"has":[111],"been":[112],"throughout.":[114],"Consequently,":[115],"degree":[117],"between":[120],"found":[124,273,367],"reflects":[125],"primarily":[126],"upon":[127],"applicability":[129],"inner":[136,177,354,365,450],"layer.":[137,241,355],"In":[138],"absence":[140],"taken":[147],"be":[149,433],"a":[150,293,332],"hexagonally":[151],"close-packed":[152],"charge-free":[153],"monolayer":[154,216],"solvent,":[156],"physically":[157],"adsorbed":[158],"on":[159,235,312],"mercury":[161,222],"electrode":[162,188,223],"by":[163,428],"dipole":[164,209],"image":[165,210],"forces.":[166],"Adsorption":[167],"anisotropy":[168],"can":[169],"lead":[170,262],"some":[172],"saturation":[174,202,269],"even":[179],"electrocapillary":[182],"maximum,":[183],"point":[185],"zero":[187],"charge.":[189],"Neglecting":[190],"association":[191],"monolayer,":[194],"inner-layer":[196,306,421],"constant":[198,311],"its":[200],"properties":[203],"are":[204,212,218,228,257,272,317],"under":[206],"three":[207],"situations\u2014where":[208],"contributions":[211],"neglected,":[213],"where":[214,226,448],"dipoles":[217],"imaged":[219,230],"only,":[224],"they":[227],"additionally":[229],"equipotential":[233],"plane":[234],"other":[237],"side":[238],"The":[242,321,384],"last":[243],"case":[244],"leads":[245],"infinite":[248,254],"set":[249],"images":[251],"series":[255,435],"which":[256,386],"summed.":[258],"These":[259],"treatments":[260],"much":[264],"smaller":[265],"constants":[267,270,282],"than":[271],"bulk":[275],"solvent.":[276],"Comparison":[277],"values":[279],"these":[281],"from":[284,344,368,423],"fitting":[285,370],"data":[291],"using":[292],"digital":[294],"computer":[295],"yields":[296],"reasonably":[297],"close":[298],"agreement.":[299],"New":[300],"equations":[301],"dependence":[304],"thickness,":[307],"volume,":[308],"pressure":[313,323],"electric":[315],"field,":[316],"derived":[318],"applied.":[320],"electrostatic":[322],"shown":[328],"consist":[330],"capacitor-plate":[333],"compressive":[334],"term":[335],"electrostrictive":[338],"term,":[339],"latter":[341],"originating":[342],"only":[343],"distortional":[346],"orientational":[350],"polarization":[351,396],"As":[356],"properties,":[360],"compressibility":[362],"curve":[369],"right":[374],"order":[375],"magnitude":[377],"both":[379],"solvents.":[383],"hump":[385],"occurs":[387],"low":[391],"temperatures":[392],"small":[394],"attributed":[398],"interplay":[401],"saturation.":[407],"Finally,":[408],"it":[409],"pointed":[411],"out":[412],"that":[413],"usual":[415],"method":[416],"separation":[418],"total":[425],"assuming":[429],"former":[431],"diffuse-layer":[438],"unjustified":[441],"regions":[443],"appreciable":[445],"adsorption,":[447],"no":[453],"longer":[454],"charge":[455],"free.":[456]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":5}],"updated_date":"2026-10-08T09:06:37.294493","created_date":"2025-10-10T00:00:00"}
