{"id":496,"date":"2017-11-04T15:16:24","date_gmt":"2017-11-04T20:16:24","guid":{"rendered":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/?p=496"},"modified":"2020-10-17T12:52:53","modified_gmt":"2020-10-17T17:52:53","slug":"dr-ely-re-garcia-m-thommes-ostwald-freundlich-diffusion-limited-dissolution-kinetics-of-nanoparticles-powder-technology-257120-123-2014","status":"publish","type":"post","link":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/dr-ely-re-garcia-m-thommes-ostwald-freundlich-diffusion-limited-dissolution-kinetics-of-nanoparticles-powder-technology-257120-123-2014\/","title":{"rendered":"DR Ely, RE Garc\u00eda, M Thommes &#8220;Ostwald\u2013Freundlich diffusion-limited dissolution kinetics of nanoparticles.&#8221;\u00a0Powder Technology, 257:120-123, 2014."},"content":{"rendered":"<p>DR Ely, RE Garc\u00eda, M Thommes &#8220;<a class=\"gsc_vcd_title_link\" href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0032591014001296\" target=\"_blank\" rel=\"noopener\" data-clk=\"hl=en&amp;sa=T&amp;ei=Yuv9WZ-eCcq5mAHPuaXICQ\">Ostwald\u2013Freundlich diffusion-limited dissolution kinetics of nanoparticles<\/a>.&#8221;\u00a0<strong>Powder Technology<\/strong>, 257:120-123, 2014.<\/p>\n<h3>Abstract<\/h3>\n<div id=\"ab0005\" class=\"abstract author\">\n<div id=\"as0005\">\n<p id=\"sp0005\">For many years, nanoparticles have garnered increasing interest in pharmaceutical investigations. It is well known that the solubility of nanoparticles increases with decreasing size due to the Gibbs\u2013Thomson effect. However, there are currently no analytical models to describe the kinetics of nanoparticle dissolution. The purpose of this article is to provide a Thermodynamics-based description of the kinetics of nanoparticle dissolution. In particular, the Ostwald\u2013Freundlich relation is used to correct dissolution times for small particles, which have higher solubilities than larger particles. The developed model is an extension of the Hixson\u2013Crowell cube root law in which the total normalized dissolution time is corrected by a \u201csolubility size factor\u201d that approaches unity for increasing initial particle size. This model enables rapid estimation of the total dissolution time of spherical nanoparticles in a gently agitated, zero solute concentration reservoir. The total dissolution time predicted differs from Hixson\u2013Crowell by nearly 10% for initial particle sizes fifty times larger than the characteristic particle size, and increases to more than a factor of six at the characteristic particle size. This work provides a physics-based description of the nanoparticle dissolution kinetics and details the reaches and limitations of the developed model. The theoretical framework provided herein is valid for a wide range of dissolution processes and size scales affording it a high level of practicality.<\/p>\n<\/div>\n<\/div>\n<div id=\"ab0015\" class=\"abstract graphical\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p class=\"post-excerpt\" class=\"post-excerpt\">DR Ely, RE Garc\u00eda, M Thommes &#8220;Ostwald\u2013Freundlich diffusion-limited dissolution kinetics of nanoparticles.&#8221;\u00a0Powder&hellip;<\/p>\n<div class=\"link-more\"><a href=\"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/dr-ely-re-garcia-m-thommes-ostwald-freundlich-diffusion-limited-dissolution-kinetics-of-nanoparticles-powder-technology-257120-123-2014\/\">Continue reading<span class=\"screen-reader-text\"> &#8220;DR Ely, RE Garc\u00eda, M Thommes &#8220;Ostwald\u2013Freundlich diffusion-limited dissolution kinetics of nanoparticles.&#8221;\u00a0Powder Technology, 257:120-123, 2014.&#8221;<\/span>&hellip;<\/a><\/div>\n<div class=\"link-more\"><a href=\"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/dr-ely-re-garcia-m-thommes-ostwald-freundlich-diffusion-limited-dissolution-kinetics-of-nanoparticles-powder-technology-257120-123-2014\/\">Continue reading<span class=\"screen-reader-text\"> \"DR Ely, RE Garc\u00eda, M Thommes &#8220;Ostwald\u2013Freundlich diffusion-limited dissolution kinetics of nanoparticles.&#8221;\u00a0Powder Technology, 257:120-123, 2014.\"<\/span>&hellip;<\/a><\/div>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"advanced_seo_description":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[45],"tags":[78,58,15,7],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/peeeSR-80","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":502,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/dr-ely-a-jana-re-garcia-phase-field-kinetics-of-lithium-electrodeposits-journal-of-power-sources-272581-594-2014\/","url_meta":{"origin":496,"position":0},"title":"DR Ely, A Jana, RE Garc\u00eda &#8220;Phase field kinetics of lithium electrodeposits.&#8221;\u00a0Journal of Power Sources, 272:581-594, 2014.","date":"11\/04\/2017","format":false,"excerpt":"DR Ely, A Jana, RE Garc\u00eda \"Phase field kinetics of lithium electrodeposits.\"\u00a0Journal of Power Sources, 272:581-594, 2014. Abstract A phase field description is formulated to describe the growth kinetics of an heterogeneously nucleated distribution of lithium electrodeposits. The underlying variational principle includes the bulk electrochemical contributions to the free energy\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":464,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/bj-kim-re-garcia-ea-stach-kinetics-of-congruent-vaporization-of-zno-islands-physical-review-letters-10714146101-2011\/","url_meta":{"origin":496,"position":1},"title":"BJ Kim, RE Garc\u00eda, EA Stach &#8220;Kinetics of Congruent Vaporization of ZnO Islands.&#8221;\u00a0Physical Review Letters. 107(14):146101, 2011.","date":"11\/04\/2017","format":false,"excerpt":"BJ Kim, RE Garc\u00eda, EA Stach \"Kinetics of Congruent Vaporization of ZnO Islands.\"\u00a0Physical Review Letters. 107(14):146101, 2011. Abstract We examine the congruent vaporization of ZnO islands using in\u00a0situ transmission electron microscopy. Correlating quantitative measurements with a theoretical model offers a comprehensive understanding of the equilibrium conditions of the system, including\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":318,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/29\/thermodynamically-consistent-variational-principles-with-applications-to-electrically-and-magnetically-active-systems\/","url_meta":{"origin":496,"position":2},"title":"RE Garc\u00eda, CM Bishop, WC Carter &#8220;Thermodynamically consistent variational principles with applications to electrically and magnetically active systems&#8221; Acta Materialia, 52(1):11-21, 2004.","date":"10\/29\/2017","format":false,"excerpt":"RE Garc\u00eda, CM Bishop, WC Carter \"Thermodynamically consistent variational principles with applications to electrically and magnetically active systems\" Acta Materialia, 52(1):11-21, 2004. Abstract We propose a theoretical framework to derive thermodynamically consistent equilibrium equations and kinetic driving forces to describe the time evolution for electrically and magnetically active materials. This\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":884,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2021\/01\/13\/o-a-torres-matheus-r-e-garcia-and-c-m-bishop-microstructural-phase-coexistence-kinetics-near-the-polymorphic-phase-boundary-acta-materialia-p-116579-2020\/","url_meta":{"origin":496,"position":3},"title":"O. A. Torres-Matheus, R. E. Garc\u00eda, and C. M. Bishop &#8220;Microstructural phase coexistence kinetics near the polymorphic phase boundary.&#8221; Acta Materialia, vol. 206, p. 116579, 2021.","date":"01\/13\/2021","format":false,"excerpt":"O. A. Torres-Matheus, R. E. Garc\u00eda, and C. M. Bishop \"Microstructural phase coexistence kinetics near the polymorphic phase boundary.\" Acta Materialia, vol. 206, p. 116579, 2021.\u00a0https:\/\/doi.org\/10.1016\/j.actamat.2020.116579 Abstract By implementing a novel multiphase field model for ferroelectric systems, the phase coexistence of the tetragonal (T) and rhombohedral (R) phases in Pb-free\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":921,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2022\/06\/08\/l-d-robinson-k-s-n-vikrant-j-e-blendell-c-a-handwerker-r-e-garcia-interfacial-and-volumetric-melting-regimes-of-sn-nanoparticles-acta-materialia-in-press-2022\/","url_meta":{"origin":496,"position":4},"title":"L.D. Robinson, K.S.N. Vikrant, J.E. Blendell, C.A. Handwerker, R.E. Garc\u00eda  &#8220;Interfacial and Volumetric Melting Regimes of Sn Nanoparticles.&#8221; Acta Materialia. In Press. 2022","date":"06\/08\/2022","format":false,"excerpt":"L.D. Robinson, K.S.N. Vikrant, J.E. Blendell, C.A. Handwerker, and R.E. Garc\u00eda \"Interfacial and Volumetric Melting Regimes of Sn Nanoparticles.\" Acta Materialia. In Press. 2022.\u00a0https:\/\/doi.org\/10.1016\/j.actamat.2022.118084 Abstract A thermodynamically consistent phase field formulation was developed to describe what has been historically known as the premelted surface layer in Sn nanoparticles. Two interfacial\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"https:\/\/i0.wp.com\/engineering.purdue.edu\/ComputationalMaterials\/wp-content\/uploads\/2022\/06\/1-s2.0-S1359645422004657-ga1_lrg-1.jpg?resize=350%2C200&ssl=1","width":350,"height":200},"classes":[]},{"id":477,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/y-wang-dr-ely-re-garcia-progress-towards-modeling-microstructure-evolution-in-polycrystalline-films-for-solar-cell-applications-ieee-39th-photovoltaic-specialists-conference-pvsc-2\/","url_meta":{"origin":496,"position":5},"title":"Y Wang, DR Ely, RE Garc\u00eda &#8220;Progress towards modeling microstructure evolution in polycrystalline films for solar cell applications.&#8221;\u00a0IEEE 39th\u00a0Photovoltaic Specialists Conference (PVSC). 2056-2059, 2013.","date":"11\/04\/2017","format":false,"excerpt":"Y Wang, DR Ely, RE Garc\u00eda \"Progress towards modeling microstructure evolution in polycrystalline films for solar cell applications.\"\u00a0IEEE 39th\u00a0Photovoltaic Specialists Conference (PVSC). 2056-2059, 2013. Abstract Grain morphology has been long considered to be a major factor in the performance and efficiency of photovoltaic devices. Experimental work has demonstrated the effect\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"_links":{"self":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/496"}],"collection":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/comments?post=496"}],"version-history":[{"count":1,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/496\/revisions"}],"predecessor-version":[{"id":497,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/496\/revisions\/497"}],"wp:attachment":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/media?parent=496"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/categories?post=496"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/tags?post=496"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}