{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T11:20:30Z","timestamp":1772796030483,"version":"3.50.1"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2019,11,7]],"date-time":"2019-11-07T00:00:00Z","timestamp":1573084800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2019,11,7]],"date-time":"2019-11-07T00:00:00Z","timestamp":1573084800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"name":"European Regional Development Fund (ERDF) from the European Union","award":["POCI-01-0145-FEDER-016902"],"award-info":[{"award-number":["POCI-01-0145-FEDER-016902"]}]},{"name":"European Regional Development Fund (ERDF) from the European Union","award":["POCI-01-0145-FEDER-032299"],"award-info":[{"award-number":["POCI-01-0145-FEDER-032299"]}]},{"name":"Portuguese Foundation for Science and Technology","award":["CENTRO-01-0145-FEDER-000014"],"award-info":[{"award-number":["CENTRO-01-0145-FEDER-000014"]}]},{"name":"Portuguese Foundation for Science and Technology","award":["UID\/EMS\/00285\/2013"],"award-info":[{"award-number":["UID\/EMS\/00285\/2013"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Plasmonics"],"published-print":{"date-parts":[[2020,4]]},"abstract":"<jats:title>Abstract<\/jats:title>\n<jats:p>The effective dielectric function of composites consisting of particles dispersed in isotropic or anisotropic media is affected by the composition, size, shape, and orientation of the particles. Our first objective was to determine the effects of the particle\u2019s shape and preferential orientation on the effective dielectric function of the medium. We have used the Maxwell Garnett effective medium approximation generalized for ellipsoidal particles in order to study the effective dielectric function of different Au nanoparticle systems, with both random and normal orientation of the ellipsoids in relation to the incident light, simulating the microstructure of many nanocomposite thin films grown by co-deposition or alternating deposition methods. Our second objective was to consider real particle systems by determining the effects of the particle shape distribution on the effective dielectric function. We have considered the Generalized Maxwell Garnett equations extended for systems of shape-distributed ellipsoids and have, for the first time, correlated the ellipsoid\u2019s shape\/aspect ratio with their geometrical factors in a single graphic. We have introduced and used 1D and 2D Gaussian shape probability distribution functions in order to calculate the effective dielectric function of a number of Au nanoparticle systems having different distributions of ellipsoidal shapes\/aspect ratios. The multicomponent Generalized Maxwell Garnett approximation was also used in order to determine the effective dielectric function of Au nanoparticle systems containing mixtures of nanoparticles with different shapes and sizes.<\/jats:p>","DOI":"10.1007\/s11468-019-01051-3","type":"journal-article","created":{"date-parts":[[2019,11,7]],"date-time":"2019-11-07T16:04:02Z","timestamp":1573142642000},"page":"379-397","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Dielectric Properties of Shape-Distributed Ellipsoidal Particle Systems"],"prefix":"10.1007","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9532-0597","authenticated-orcid":false,"given":"N. M.","family":"Figueiredo","sequence":"first","affiliation":[]},{"given":"A.","family":"Cavaleiro","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,11,7]]},"reference":[{"key":"1051_CR1","doi-asserted-by":"publisher","DOI":"10.1142\/p815","volume-title":"Gold nanoparticles for physics, chemistry and biology","author":"C Louis","year":"2012","unstructured":"Louis C, Pluchery O (2012) Gold nanoparticles for physics, chemistry and biology. Imperial College Press, London"},{"key":"1051_CR2","doi-asserted-by":"publisher","first-page":"8217","DOI":"10.1088\/0953-8984\/13\/35\/326","volume":"13","author":"AV Goncharenko","year":"2001","unstructured":"Goncharenko AV, Lozovski VZ, Venger EF (2001) Effective dielectric response of a shape-distributed particle system. J Phys Condens Matter 13:8217\u20138234","journal-title":"J Phys Condens Matter"},{"key":"1051_CR3","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1098\/rsta.1904.0024","volume":"203","author":"JCM Garnett","year":"1904","unstructured":"Garnett JCM (1904) Colours in metal glasses and in metallic films. Phil Trans R Soc Lond A 203:385\u2013420","journal-title":"Phil Trans R Soc Lond A"},{"key":"1051_CR4","doi-asserted-by":"publisher","first-page":"1152","DOI":"10.1021\/j150334a007","volume":"36","author":"P Van Rysselberghe","year":"1932","unstructured":"Van Rysselberghe P (1932) Remarks concerning the Clausius-Mossotti Law. J Phys Chem 36:1152\u20131155","journal-title":"J Phys Chem"},{"key":"1051_CR5","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-09109-8","volume-title":"Optical properties of metal clusters","author":"U Kreibig","year":"1995","unstructured":"Kreibig U, Vollmer M (1995) Optical properties of metal clusters. Springer-Verlag, Berlin"},{"key":"1051_CR6","doi-asserted-by":"publisher","first-page":"636","DOI":"10.1002\/andp.19354160705","volume":"416","author":"DAG Bruggeman","year":"1935","unstructured":"Bruggeman DAG (1935) Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen. I. Dielektrizit\u00e4tskonstanten und Leitf\u00e4higkeiten der Mischk\u00f6rper aus isotropen Substanzen. Ann Phys Lpz 416:636\u2013664","journal-title":"Ann Phys Lpz"},{"key":"1051_CR7","volume-title":"Absorption and scattering of light by small particles","author":"CF Bohren","year":"1983","unstructured":"Bohren CF, Huffman DR (1983) Absorption and scattering of light by small particles. Wiley, New York"},{"key":"1051_CR8","doi-asserted-by":"publisher","first-page":"3689","DOI":"10.1103\/PhysRevB.8.3689","volume":"8","author":"RW Cohen","year":"1973","unstructured":"Cohen RW, Cody GD, Coutts MD, Abeles B (1973) Optical properties of granular silver and gold films. Phys Rev B 8:3689\u20133701","journal-title":"Phys Rev B"},{"key":"1051_CR9","doi-asserted-by":"publisher","first-page":"041108","DOI":"10.1103\/PhysRevE.68.041108","volume":"68","author":"AV Goncharenko","year":"2003","unstructured":"Goncharenko AV (2003) Generalizations of the Bruggeman equation and a concept of shape-distributed particle composites. Phys Rev E 68:041108","journal-title":"Phys Rev E"},{"key":"1051_CR10","doi-asserted-by":"publisher","first-page":"452","DOI":"10.1016\/j.tsf.2016.02.022","volume":"603","author":"J Vieaud","year":"2016","unstructured":"Vieaud J, Merchiers O, Rajaoarivelo M, Warenghem M, Borensztein Y, Ponsinet V, Aradian A (2016) Effective medium description of plasmonic couplings in disordered polymer and gold nanoparticle composites. Thin Solid Films 603:452\u2013464","journal-title":"Thin Solid Films"},{"key":"1051_CR11","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1007\/s11051-016-3533-8","volume":"18","author":"Y Battie","year":"2016","unstructured":"Battie Y, Izquierdo-Lorenzo I, Resano-Garcia A, Naciri AE, Akil S, Adam PM, Jradi S (2016) How to determine the morphology of plasmonic nanocrystals without transmission electron microscopy? J Nanopart Res 18:217","journal-title":"J Nanopart Res"},{"key":"1051_CR12","doi-asserted-by":"publisher","first-page":"5271","DOI":"10.1364\/AO.37.005271","volume":"37","author":"AD Raki\u0107","year":"1998","unstructured":"Raki\u0107 AD, Djuri\u0161i\u0107 AB, Elazar JM, Majewski ML (1998) Optical properties of metallic films for vertical-cavity optoelectronic devices. Appl Opt 37:5271\u20135283","journal-title":"Appl Opt"},{"key":"1051_CR13","doi-asserted-by":"publisher","first-page":"063512","DOI":"10.1063\/1.4861136","volume":"115","author":"NM Figueiredo","year":"2014","unstructured":"Figueiredo NM, Kubart T, Sanchez-Garc\u00eda JA, Galindo RE, Climent-Font A, Cavaleiro A (2014) Optical properties and refractive index sensitivity of reactive sputtered oxide coatings with embedded Au clusters. J Appl Phys 115:063512","journal-title":"J Appl Phys"},{"key":"1051_CR14","doi-asserted-by":"publisher","first-page":"144","DOI":"10.1016\/j.apsusc.2018.01.011","volume":"440","author":"NM Figueiredo","year":"2018","unstructured":"Figueiredo NM, Serra R, Manninen NK, Cavaleiro A (2018) Production of Au clusters by plasma gas condensation and their incorporation in oxide matrixes by sputtering. Appl Surf Sci 440:144\u2013152","journal-title":"Appl Surf Sci"},{"key":"1051_CR15","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1016\/j.tsf.2015.11.060","volume":"598","author":"NM Figueiredo","year":"2016","unstructured":"Figueiredo NM, Vaz F, Cunha L, Pei YT, De Hosson JTM, Cavaleiro A (2016) Optical and microstructural properties of Au alloyed Al-O sputter deposited coatings. Thin Solid Films 598:65\u201371","journal-title":"Thin Solid Films"},{"key":"1051_CR16","doi-asserted-by":"publisher","first-page":"16931","DOI":"10.1021\/acs.jpcc.6b03684","volume":"120","author":"J Borges","year":"2016","unstructured":"Borges J, Pereira RMS, Rodrigues MS, Kubart T, Kumar S, Leifer K, Cavaleiro A, Polcar T, Vasilevskiy MI, Vaz F (2016) Broadband optical absorption caused by the plasmonic response of coalesced Au nanoparticles embedded in a TiO2 matrix. J Phys Chem C 120:16931\u201316945","journal-title":"J Phys Chem C"}],"container-title":["Plasmonics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11468-019-01051-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11468-019-01051-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11468-019-01051-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,6]],"date-time":"2020-11-06T00:16:20Z","timestamp":1604621780000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11468-019-01051-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11,7]]},"references-count":16,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2020,4]]}},"alternative-id":["1051"],"URL":"https:\/\/doi.org\/10.1007\/s11468-019-01051-3","relation":{},"ISSN":["1557-1955","1557-1963"],"issn-type":[{"value":"1557-1955","type":"print"},{"value":"1557-1963","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,11,7]]},"assertion":[{"value":"29 April 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 September 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 November 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}