{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,5]],"date-time":"2026-10-05T21:18:21Z","timestamp":1791235101941,"version":"4.1.0"},"reference-count":50,"publisher":"Royal Society of Chemistry (RSC)","funder":[{"DOI":"10.13039\/100010663","name":"H2020 European Research Council","doi-asserted-by":"crossref","award":["637748 NanoSOFT"],"award-info":[{"award-number":["637748 NanoSOFT"]}],"id":[{"id":"10.13039\/100010663","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/100010663","name":"H2020 European Research Council","doi-asserted-by":"crossref","award":["Micromegas"],"award-info":[{"award-number":["Micromegas"]}],"id":[{"id":"10.13039\/100010663","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"crossref","award":["BlueEnergy"],"award-info":[{"award-number":["BlueEnergy"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["rsc.org"],"crossmark-restriction":true},"short-container-title":["Faraday Discuss."],"abstract":"<p>\n                    The electrostatic interaction between two charged particles is strongly modified in the vicinity of a metal. This situation is usually accounted for by the celebrated image charges approach, which was further extended to account for the electronic screening properties of the metal at the level of the Thomas\u2013Fermi description. In this paper we build upon a previous approach [M. A. Vorotyntsev and A. A. Kornyshev,\n                    <italic>Zh. Eksp. Teor. Fiz.<\/italic>\n                    , 1980,\n                    <bold>78<\/bold>\n                    (3), 1008\u20131019] and successive works to calculate the 1-body and 2-body electrostatic energy of ions near a metal in terms of the Thomas\u2013Fermi screening length. We propose workable approximations suitable for molecular simulations of ionic systems close to metallic walls. Furthermore, we use this framework to calculate analytically the electrostatic contribution to the surface energy of a one dimensional crystal at a metallic wall and its dependence on the Thomas\u2013Fermi screening length. These calculations provide a simple interpretation for the surface energy in terms of image charges, which allows for an estimation of the interfacial properties in more complex situations of a disordered ionic liquid close to a metal surface. The counter-intuitive outcome is that electronic screening, as characterized by a molecular Thomas\u2013Fermi length\n                    <italic>l<\/italic>\n                    <sub>TF<\/sub>\n                    , profoundly affects the wetting of ionic systems close to a metal, in line with the recent experimental observation of capillary freezing of ionic liquids in metallic confinement.\n                  <\/p>","DOI":"10.1039\/c6fd00256k","type":"journal-article","created":{"date-parts":[[2017,1,30]],"date-time":"2017-01-30T06:54:55Z","timestamp":1485759295000},"page":"129-158","update-policy":"https:\/\/doi.org\/10.1039\/rsc_crossmark_policy","source":"Crossref","is-referenced-by-count":27,"title":["Electrostatic interactions between ions near Thomas\u2013Fermi substrates and the surface energy of ionic crystals at imperfect metals"],"prefix":"10.1039","volume":"199","author":[{"given":"V.","family":"Kaiser","sequence":"first","affiliation":[{"name":"Laboratoire de Physique Statistique"},{"name":"Ecole Normale Sup\u00e9rieure"},{"name":"UMR CNRS 8550"},{"name":"PSL Research University"},{"name":"75005 Paris Cedex 05"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"J.","family":"Comtet","sequence":"additional","affiliation":[{"name":"Laboratoire de Physique Statistique"},{"name":"Ecole Normale Sup\u00e9rieure"},{"name":"UMR CNRS 8550"},{"name":"PSL Research University"},{"name":"75005 Paris Cedex 05"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"Nigu\u00e8s","sequence":"additional","affiliation":[{"name":"Laboratoire de Physique Statistique"},{"name":"Ecole Normale Sup\u00e9rieure"},{"name":"UMR CNRS 8550"},{"name":"PSL Research University"},{"name":"75005 Paris Cedex 05"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"Siria","sequence":"additional","affiliation":[{"name":"Laboratoire de Physique Statistique"},{"name":"Ecole Normale Sup\u00e9rieure"},{"name":"UMR CNRS 8550"},{"name":"PSL Research University"},{"name":"75005 Paris Cedex 05"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"B.","family":"Coasne","sequence":"additional","affiliation":[{"name":"Laboratoire Interdisciplinaire de Physique"},{"name":"CNRS and Universit\u00e9 Grenoble Alpes"},{"name":"UMR CNRS 5588"},{"name":"38000 Grenoble"},{"name":"France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3577-5335","authenticated-orcid":false,"given":"L.","family":"Bocquet","sequence":"additional","affiliation":[{"name":"Laboratoire de Physique Statistique"},{"name":"Ecole Normale Sup\u00e9rieure"},{"name":"UMR CNRS 8550"},{"name":"PSL Research University"},{"name":"75005 Paris Cedex 05"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"292","published-online":{"date-parts":[[2017]]},"reference":[{"key":"C6FD00256K-(cit1)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"2978","DOI":"10.1021\/cr400374x","volume":"114","author":"Fedorov","year":"2014","journal-title":"Chem. Rev."},{"key":"C6FD00256K-(cit2)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"1595","DOI":"10.1038\/srep01595","volume":"3","author":"Uesugi","year":"2013","journal-title":"Sci. Rep."},{"issue":"2","key":"C6FD00256K-(cit3)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1007\/s11249-010-9671-8","volume":"40","author":"Palacio","year":"2010","journal-title":"Tribol. Lett."},{"issue":"16","key":"C6FD00256K-(cit4)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"10339","DOI":"10.1039\/C4CP05965D","volume":"17","author":"Dold","year":"2015","journal-title":"Phys. Chem. Chem. Phys."},{"issue":"24","key":"C6FD00256K-(cit5)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"4978","DOI":"10.1021\/acs.jpclett.5b01889","volume":"6","author":"Rotenberg","year":"2015","journal-title":"J. Phys. Chem. Lett."},{"issue":"19","key":"C6FD00256K-(cit6)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"6600","DOI":"10.1021\/jp9022234","volume":"113","author":"Bovio","year":"2009","journal-title":"J. Phys. Chem. B"},{"issue":"17","key":"C6FD00256K-(cit7)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"4062","DOI":"10.1039\/c0sm00377h","volume":"6","author":"Bou-Malham","year":"2010","journal-title":"Soft Matter"},{"issue":"45","key":"C6FD00256K-(cit8)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"8627","DOI":"10.1039\/c0cc02643c","volume":"46","author":"Yokota","year":"2010","journal-title":"Chem. Commun."},{"issue":"37","key":"C6FD00256K-(cit9)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"15317","DOI":"10.1039\/c3cp52779d","volume":"15","author":"Smith","year":"2013","journal-title":"Phys. Chem. Chem. Phys."},{"key":"C6FD00256K-(cit10)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"1214","DOI":"10.1039\/C6CC08820A","volume":"53","author":"Gebbie","year":"2017","journal-title":"Chem. Commun."},{"key":"C6FD00256K-(cit11)\/*[position()=1]","author":"Comtet","year":"2016","unstructured":"J.\n            Comtet\n          , A.Nigu\u00e8s, V.Kaiser, L.Bocquet and A.Siria, Nanoscale capillary freezing of ionic liquids confined between metallic interfaces and the role of electronic screening, arXiv:1611.08448 [cond-mat], 2016"},{"issue":"42","key":"C6FD00256K-(cit12)\/*[position()=1]","first-page":"424118","volume":"21","author":"Bovio","year":"2009","journal-title":"J. Phys.: Condens. Matter"},{"issue":"4","key":"C6FD00256K-(cit13)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"306","DOI":"10.1038\/nmat3260","volume":"11","author":"Merlet","year":"2012","journal-title":"Nat. Mater."},{"issue":"24","key":"C6FD00256K-(cit14)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"12399","DOI":"10.1021\/jp400558y","volume":"117","author":"Kondrat","year":"2013","journal-title":"J. Phys. Chem. C"},{"key":"C6FD00256K-(cit15)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1038\/nmat3916","volume":"13","author":"Kondrat","year":"2014","journal-title":"Nat. Mater."},{"issue":"18","key":"C6FD00256K-(cit16)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"4121","DOI":"10.1002\/cphc.201300834","volume":"14","author":"Rochester","year":"2013","journal-title":"ChemPhysChem"},{"issue":"4","key":"C6FD00256K-(cit17)\/*[position()=1]","first-page":"048701","volume-title":"Phys. Rev. Lett.","volume":"113","author":"Lee","year":"2014","unstructured":"A. A.\n            Lee\n          , S.Kondrat, and A. A.Kornyshev. Single-file charge storage in conducting nanopores. Phys. Rev. Lett., 113(4):0487012014"},{"key":"C6FD00256K-(cit18)\/*[position()=1]","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-5714-9","volume-title":"Many-Particle Physics","author":"Mahan","year":"2000","unstructured":"G. D.\n            Mahan\n          , Many-Particle Physics, Springer Science & Business Media, 2000"},{"issue":"3","key":"C6FD00256K-(cit19)\/*[position()=1]","first-page":"1008","volume":"78","author":"Vorotyntsev","year":"1980","journal-title":"Zh. Eksp. Teor. Fiz."},{"issue":"1\u20133","key":"C6FD00256K-(cit20)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/0039-6028(80)90597-X","volume":"101","author":"Kornyshev","year":"1980","journal-title":"Surf. Sci."},{"issue":"8","key":"C6FD00256K-(cit21)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"5244","DOI":"10.1103\/PhysRevB.25.5244","volume":"25","author":"Kornyshev","year":"1982","journal-title":"Phys. Rev. B: Condens. Matter Mater. Phys."},{"key":"C6FD00256K-(cit22)\/*[position()=1]","volume-title":"Molecular Theory of Capillarity","author":"Rowlinson","year":"1989","unstructured":"J. S.\n            Rowlinson\n           and B.Widom, Molecular Theory of Capillarity, Oxford University Press, Oxford, 1989"},{"key":"C6FD00256K-(cit23)\/*[position()=1]","volume-title":"Classical Electrodynamics","author":"Jackson","year":"1998","unstructured":"J. D.\n            Jackson\n          , Classical Electrodynamics, Wiley, New York, 3th edn, 1998"},{"issue":"1","key":"C6FD00256K-(cit24)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1063\/1.469429","volume":"102","author":"Ilja Siepmann","year":"1995","journal-title":"J. Chem. Phys."},{"issue":"20","key":"C6FD00256K-(cit25)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"204102","DOI":"10.1063\/1.3021064","volume":"129","author":"Tyagi","year":"2008","journal-title":"J. Chem. Phys."},{"issue":"1\u20133","key":"C6FD00256K-(cit26)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"178","DOI":"10.1016\/j.cplett.2010.10.010","volume":"500","author":"Gingrich","year":"2010","journal-title":"Chem. Phys. Lett."},{"issue":"8","key":"C6FD00256K-(cit27)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"3541","DOI":"10.1103\/PhysRevB.7.3541","volume":"7","author":"Lang","year":"1973","journal-title":"Phys. Rev. B: Solid State"},{"key":"C6FD00256K-(cit28)\/*[position()=1]","volume-title":"NIST Handbook of Mathematical Functions","author":"Olver","year":"2010","unstructured":"F. W. J.\n            Olver\n          , D. W.Lozier, R. F.Boisvert and C. W.Clark, NIST Handbook of Mathematical Functions, Cambridge University Press, 2010"},{"issue":"6","key":"C6FD00256K-(cit29)\/*[position()=1]","first-page":"065021","volume-title":"Eur. J. Phys.","volume":"35","author":"Bezerra","year":"2014","unstructured":"M.\n            Bezerra\n          , R.de Melo e Souza, W. J. M.Kort-Kamp and C.FarinaSubtleties in obtaining the electrostatic energy of continuous distributions. Eur. J. Phys., 35(6):065021 (2014)"},{"issue":"3","key":"C6FD00256K-(cit30)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1002\/andp.19213690304","volume":"369","author":"Ewald","year":"1921","journal-title":"Ann. Phys."},{"issue":"1752","key":"C6FD00256K-(cit31)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1098\/rspa.1980.0135","volume":"373","author":"de Leeuw","year":"1980","journal-title":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"},{"key":"C6FD00256K-(cit32)\/*[position()=1]","volume-title":"Intermolecular and Surface Forces","author":"Israelachvili","year":"2011","unstructured":"J. N.\n            Israelachvili\n          , Intermolecular and Surface Forces, Academic Press, Burlington, MA, 3rd edn, 2011"},{"key":"C6FD00256K-(cit33)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"829","DOI":"10.1039\/C1CS15146K","volume":"2","author":"Tariq","year":"2012","journal-title":"Chem. Soc. Rev."},{"issue":"3","key":"C6FD00256K-(cit34)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"1073","DOI":"10.1039\/B909366B","volume":"39","author":"Bocquet","year":"2010","journal-title":"Chem. Soc. Rev."},{"issue":"7619","key":"C6FD00256K-(cit35)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1038\/nature19315","volume":"537","author":"Secchi","year":"2016","journal-title":"Nature"},{"issue":"34","key":"C6FD00256K-(cit36)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"15403","DOI":"10.1039\/c1cp21086f","volume":"13","author":"K\u00f6finger","year":"2011","journal-title":"Phys. Chem. Chem. Phys."},{"issue":"7544","key":"C6FD00256K-(cit37)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1038\/nature14295","volume":"519","author":"Algara-Siller","year":"2015","journal-title":"Nature"},{"key":"C6FD00256K-(cit38)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1038\/nnano.2016.254","volume":"12","author":"Agrawal","year":"2017","journal-title":"Nat. Nanotechnol."},{"key":"C6FD00256K-(cit39)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"6872","DOI":"10.1021\/nl502837d","volume":"14","author":"Tocci","year":"2014","journal-title":"Nano Lett."},{"key":"C6FD00256K-(cit40)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"4695","DOI":"10.1021\/acs.jpclett.6b02248","volume":"7","author":"Grosjean","year":"2016","journal-title":"J. Phys. Chem. Lett."},{"key":"C6FD00256K-(cit41)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1038\/nature11876","volume":"494","author":"Siria","year":"2013","journal-title":"Nature"},{"issue":"7619","key":"C6FD00256K-(cit42)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1002\/pssb.2220840114","volume":"84","author":"Kornyshev","year":"1977","journal-title":"Phys. Status Solidi B"},{"key":"C6FD00256K-(cit43)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"L691","DOI":"10.1088\/0022-3719\/11\/16\/003","volume":"11","author":"Kornyshev","year":"1978","journal-title":"J. Phys. C: Solid State Phys."},{"key":"C6FD00256K-(cit44)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0022-0728(86)90104-X","volume":"202","author":"Kornyshev","year":"1986","journal-title":"J. Electroanal. Chem."},{"key":"C6FD00256K-(cit45)\/*[position()=1]","first-page":"1028","volume":"61","author":"Vorotyntsev","year":"1985","journal-title":"Soviet Physics\u2013JETP"},{"key":"C6FD00256K-(cit46)\/*[position()=1]","first-page":"257","volume":"21","author":"Vorotyntsev","year":"1985","journal-title":"Sov. Electrochem."},{"key":"C6FD00256K-(cit47)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"1350","DOI":"10.1088\/0022-3719\/6\/8\/004","volume":"6","author":"Inkson","year":"1973","journal-title":"J. Phys. C: Solid State Phys."},{"issue":"4","key":"C6FD00256K-(cit48)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"1346","DOI":"10.1103\/PhysRevB.8.1346","volume":"8","author":"Heinrichs","year":"1973","journal-title":"Phys. Rev. B: Solid State"},{"key":"C6FD00256K-(cit49)\/*[position()=1]","first-page":"1613","volume":"10","author":"Newns","year":"1969","journal-title":"J. Chem. Phys."},{"key":"C6FD00256K-(cit50)\/*[position()=1]","first-page":"848","volume":"24","author":"Vorotyntsev","year":"1979","journal-title":"Dokl. Phys."}],"container-title":["Faraday Discussions"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/pubs.rsc.org\/en\/content\/articlepdf\/2017\/FD\/C6FD00256K","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T04:32:25Z","timestamp":1782880345000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.rsc.org\/fd\/article\/524122"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"references-count":50,"URL":"https:\/\/doi.org\/10.1039\/c6fd00256k","relation":{},"ISSN":["1359-6640","1364-5498"],"issn-type":[{"value":"1359-6640","type":"print"},{"value":"1364-5498","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017]]},"assertion":[{"value":"This document is Similarity Check deposited","name":"similarity_check","explanation":{"URL":"https:\/\/www.crossref.org\/services\/similarity-check\/"},"group":{"name":"similarity_check","label":"SIMILARITY CHECK"}},{"value":"https:\/\/doi.org\/10.1039\/C7FD90028G","URL":"https:\/\/doi.org\/10.1039\/C7FD90028G","name":"related_article","label":"CrossRef DOI Link to Discussion:","group":{"name":"associated_articles","label":"ASSOCIATED ARTICLES"}},{"value":"https:\/\/doi.org\/10.1039\/C7FD90028G","URL":"https:\/\/doi.org\/10.1039\/C7FD90028G","name":"related_article","label":"CrossRef DOI Link to Discussion:","group":{"name":"associated_articles","label":"ASSOCIATED ARTICLES"}},{"value":"https:\/\/doi.org\/10.1039\/C7FD90028G","URL":"https:\/\/doi.org\/10.1039\/C7FD90028G","name":"related_article","label":"CrossRef DOI Link to Discussion:","group":{"name":"associated_articles","label":"ASSOCIATED ARTICLES"}},{"value":"https:\/\/doi.org\/10.1039\/C7FD90028G","URL":"https:\/\/doi.org\/10.1039\/C7FD90028G","name":"related_article","label":"CrossRef DOI Link to Discussion:","group":{"name":"associated_articles","label":"ASSOCIATED ARTICLES"}},{"value":"https:\/\/doi.org\/10.1039\/C7FD90028G","URL":"https:\/\/doi.org\/10.1039\/C7FD90028G","name":"related_article","label":"CrossRef DOI Link to Discussion:","group":{"name":"associated_articles","label":"ASSOCIATED ARTICLES"}},{"value":"https:\/\/doi.org\/10.1039\/C7FD90028G","URL":"https:\/\/doi.org\/10.1039\/C7FD90028G","name":"related_article","label":"CrossRef DOI Link to Discussion:","group":{"name":"associated_articles","label":"ASSOCIATED ARTICLES"}},{"value":"https:\/\/doi.org\/10.1039\/C7FD90028G","URL":"https:\/\/doi.org\/10.1039\/C7FD90028G","name":"related_article","label":"CrossRef DOI Link to Discussion:","group":{"name":"associated_articles","label":"ASSOCIATED ARTICLES"}},{"value":"https:\/\/doi.org\/10.1039\/C7FD90028G","URL":"https:\/\/doi.org\/10.1039\/C7FD90028G","name":"related_article","label":"CrossRef DOI Link to Discussion:","group":{"name":"associated_articles","label":"ASSOCIATED ARTICLES"}},{"value":"https:\/\/doi.org\/10.1039\/C7FD90028G","URL":"https:\/\/doi.org\/10.1039\/C7FD90028G","name":"related_article","label":"CrossRef DOI Link to Discussion:","group":{"name":"associated_articles","label":"ASSOCIATED ARTICLES"}},{"value":"L. Bocquet (ORCID)","URL":"http:\/\/orcid.org\/0000-0003-3577-5335","name":"identifier","group":{"name":"author_identifiers","label":"IDENTIFIERS"}},{"value":"The Royal Society of Chemistry has an exclusive publication licence for this journal","name":"copyright_licence","group":{"name":"copyright_licensing","label":"COPYRIGHT AND LICENSING"}},{"value":"Single-blind","order":2,"name":"peer_review_method","group":{"name":"peer_review_method","label":"PEER REVIEW METHOD"}},{"value":"Received 19 December 2016; Accepted 27 January 2017;  Accepted Manuscript published 30 January 2017;  Advance Article published 24 April 2017;  Version of Record published 12 July 2017","order":1,"name":"history","group":{"name":"publication_history","label":"PUBLICATION HISTORY"}}]}}