{"id":334,"date":"2017-10-31T16:14:21","date_gmt":"2017-10-31T16:14:21","guid":{"rendered":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/?p=334"},"modified":"2017-11-08T00:31:28","modified_gmt":"2017-11-08T00:31:28","slug":"microstructural-modeling-and-design-of-rechargeable-lithium-ion-batteries","status":"publish","type":"post","link":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/microstructural-modeling-and-design-of-rechargeable-lithium-ion-batteries\/","title":{"rendered":"RE Garc\u00eda, Y-M Chiang, W C. Carter, P Limthongkul, CM Bishop &#8220;Microstructural modeling and design of rechargeable lithium-ion batteries&#8221;\u00a0Journal of the Electrochemical Society, 152:A255, 2005."},"content":{"rendered":"<p>RE Garc\u00eda, Y-M Chiang, W C. Carter, P Limthongkul, CM Bishop &#8220;<a class=\"gsc_vcd_title_link\" href=\"http:\/\/jes.ecsdl.org\/content\/152\/1\/A255.short\" target=\"_blank\" rel=\"noopener\" data-clk=\"hl=en&amp;sa=T&amp;ei=tbL4WeipGp6umgHQlYdg\">Microstructural modeling and design of rechargeable lithium-ion batteries<\/a>&#8221;\u00a0<strong>Journal of the Electrochemical Society<\/strong>, 152:A255, 2005.<\/p>\n<p>ABSTRACT<\/p>\n<p>The properties of rechargeable lithium-ion batteries are determined by the electrochemical and kinetic properties of their constituent materials as well as by their underlying microstructure. In this paper a method is developed that uses microscopic information and constitutive material properties to calculate the response of rechargeable batteries. The method is implemented in <strong>OOF<\/strong>, a public domain finite element code, so it can be applied to arbitrary two-dimensional microstructures with crystallographic anisotropy. This methodology can be used as a design tool for creating improved electrode microstructures. Several geometrical two-dimensional arrangements of particles of active material are explored to improve electrode utilization, power density, and reliability of the <span id=\"inline-formula-4\" class=\"inline-formula\"><span class=\"mathjax mml-math\"><span id=\"MathJax-Element-1-Frame\" class=\"MathJax\" style=\"margin: 0px; padding: 0px; border: 0px; outline-style: none; font-weight: normal; font-style: normal; font-size: 12.800000190734863px; font-family: inherit; line-height: normal; text-align: left; vertical-align: baseline; display: inline; text-indent: 0px; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;inline&quot;&gt;&lt;msub&gt;&lt;mi mathvariant=&quot;normal&quot;&gt;Li&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;y&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;msub&gt;&lt;mo&gt;C&lt;\/mo&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;mo&gt;|&lt;\/mo&gt;&lt;msub&gt;&lt;mi mathvariant=&quot;normal&quot;&gt;Li&lt;\/mi&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;msub&gt;&lt;mi mathvariant=&quot;normal&quot;&gt;Mn&lt;\/mi&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;msub&gt;&lt;mo&gt;O&lt;\/mo&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/msub&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-1\" class=\"math\"><span id=\"MathJax-Span-2\" class=\"mrow\"><span id=\"MathJax-Span-3\" class=\"msub\"><span id=\"MathJax-Span-4\" class=\"mi\">Li<\/span><span id=\"MathJax-Span-5\" class=\"mrow\"><span id=\"MathJax-Span-6\" class=\"mi\">y<\/span><\/span><\/span><span id=\"MathJax-Span-7\" class=\"msub\"><span id=\"MathJax-Span-8\" class=\"mo\">C<\/span><span id=\"MathJax-Span-9\" class=\"mrow\"><span id=\"MathJax-Span-10\" class=\"mn\">6<\/span><\/span><\/span><span id=\"MathJax-Span-11\" class=\"mo\">\u2223\u2223<\/span><span id=\"MathJax-Span-12\" class=\"msub\"><span id=\"MathJax-Span-13\" class=\"mi\">Li<\/span><span id=\"MathJax-Span-14\" class=\"mrow\"><span id=\"MathJax-Span-15\" class=\"mi\">x<\/span><\/span><\/span><span id=\"MathJax-Span-16\" class=\"msub\"><span id=\"MathJax-Span-17\" class=\"mi\">Mn<\/span><span id=\"MathJax-Span-18\" class=\"mrow\"><span id=\"MathJax-Span-19\" class=\"mn\">2<\/span><\/span><\/span><span id=\"MathJax-Span-20\" class=\"msub\"><span id=\"MathJax-Span-21\" class=\"mo\">O<\/span><span id=\"MathJax-Span-22\" class=\"mrow\"><span id=\"MathJax-Span-23\" class=\"mn\">4<\/span><\/span><\/span><\/span><\/span><span class=\"MJX_Assistive_MathML\" role=\"presentation\">LiyC6|LixMn2O4<\/span><\/span><\/span> <\/span>battery system. The analysis suggests battery performance could be improved by controlling the transport paths to the back of the positive porous electrode, maximizing the surface area for intercalating lithium ions, and carefully controlling the spatial distribution and particle size of active material. \u00a9 2004 The Electrochemical Society. All rights reserved.<\/p>\n","protected":false},"excerpt":{"rendered":"<p class=\"post-excerpt\" class=\"post-excerpt\">RE Garc\u00eda, Y-M Chiang, W C. Carter, P Limthongkul, CM Bishop &#8220;Microstructural&hellip;<\/p>\n<div class=\"link-more\"><a href=\"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/microstructural-modeling-and-design-of-rechargeable-lithium-ion-batteries\/\">Continue reading<span class=\"screen-reader-text\"> &#8220;RE Garc\u00eda, Y-M Chiang, W C. Carter, P Limthongkul, CM Bishop &#8220;Microstructural modeling and design of rechargeable lithium-ion batteries&#8221;\u00a0Journal of the Electrochemical Society, 152:A255, 2005.&#8221;<\/span>&hellip;<\/a><\/div>\n<div class=\"link-more\"><a href=\"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/microstructural-modeling-and-design-of-rechargeable-lithium-ion-batteries\/\">Continue reading<span class=\"screen-reader-text\"> \"RE Garc\u00eda, Y-M Chiang, W C. Carter, P Limthongkul, CM Bishop &#8220;Microstructural modeling and design of rechargeable lithium-ion batteries&#8221;\u00a0Journal of the Electrochemical Society, 152:A255, 2005.\"<\/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":[9,6,14,15],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/peeeSR-5o","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":468,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/468\/","url_meta":{"origin":334,"position":0},"title":"B Vijayaraghavan, DR Ely, Y-M Chiang, R Garc\u00eda-Garc\u00eda, RE Garc\u00eda &#8220;An Analytical Method to Determine Tortuosity in Rechargeable Battery Electrodes.&#8221;\u00a0Journal of The Electrochemical Society. 159(5):A548-A552, 2012.","date":"11\/04\/2017","format":false,"excerpt":"B Vijayaraghavan, DR Ely, Y-M Chiang, R Garc\u00eda-Garc\u00eda, RE Garc\u00eda \"An Analytical Method to Determine Tortuosity in Rechargeable Battery Electrodes.\"\u00a0Journal of The Electrochemical Society. 159(5):A548-A552, 2012. Abstract In high energy density, low porosity, lithium-ion battery electrodes, the underlying microstructural tortuosity controls the macroscopic charge capacity, average lithium-ion diffusivity, and macroscopic\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":350,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/spatially-resolved-modeling-of-microstructurally-complex-battery-architectures\/","url_meta":{"origin":334,"position":1},"title":"RE Garc\u00eda, Y-M Chiang &#8220;Spatially resolved modeling of microstructurally complex battery architectures.&#8221;\u00a0Journal of The Electrochemical Society. 154:A856, 2007.","date":"10\/31\/2017","format":false,"excerpt":"RE Garc\u00eda, Y-M Chiang \"Spatially resolved modeling of microstructurally complex battery architectures.\"\u00a0Journal of The Electrochemical Society. 154:A856, 2007. Abstract Recently, batteries with interpenetrating electrode architectures have been proposed which have the potential to outperform classical designs. These electrode structures are highly percolating particle distributions with short diffusion distances. One of\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":488,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/d-w-chung-pr-shearing-np-brandon-sj-harris-re-garcia-particle-size-polydispersity-in-li-ion-batteries-journal-of-the-electrochemical-society-1613a422-a430-2014\/","url_meta":{"origin":334,"position":2},"title":"D-W Chung, PR Shearing, NP Brandon, SJ Harris, RE Garc\u00eda &#8220;Particle Size Polydispersity in Li-Ion Batteries.&#8221;\u00a0Journal of The Electrochemical Society, 161(3):A422-A430, 2014.","date":"11\/04\/2017","format":false,"excerpt":"D-W Chung, PR Shearing, NP Brandon, SJ Harris, RE Garc\u00eda \"Particle Size Polydispersity in Li-Ion Batteries.\"\u00a0Journal of The Electrochemical Society, 161(3):A422-A430, 2014. Abstract Starting from three-dimensional X-ray tomography data of a commercial LiMn2O4\u2009battery electrode, the effect of microstructure on the electrochemical and chemo-mechanical response of lithium-ion batteries is analyzed. Simulations\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":381,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/the-effect-of-microstructure-on-the-galvanostatic-discharge-of-graphite-anode-electrodes-in-licoo2-based-rocking-chair-rechargeable-batteries\/","url_meta":{"origin":334,"position":3},"title":"M. Smith, RE Garc\u00eda, QC Horn &#8220;The Effect of Microstructure on the Galvanostatic Discharge of Graphite Anode Electrodes in LiCoO2-Based Rocking-Chair Rechargeable Batteries.&#8221;\u00a0Journal of the Electrochemical Society. 156:A896, 2009.","date":"10\/31\/2017","format":false,"excerpt":"M. Smith, RE Garc\u00eda, QC Horn \"The Effect of Microstructure on the Galvanostatic Discharge of Graphite Anode Electrodes in LiCoO2-Based Rocking-Chair Rechargeable Batteries.\"\u00a0Journal of the Electrochemical Society. 156:A896, 2009. Abstract By starting from experimentally determined cross sections of rechargeable lithium-ion batteries, the effect of microstructure on the galvanostatic discharge of\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":336,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/microstructural-modeling-of-multifunctional-material-properties-the-oof-project\/","url_meta":{"origin":334,"position":4},"title":"RE Garc\u00eda, ACE Reid, SA Langer, WC Carter&#8221;Microstructural modeling of multifunctional material properties: the OOF project&#8221;\u00a0Continuum Scale Simulation of Engineering Materials: Fundamentals-Microstructures-Process Applications,\u00a0573-587.\u00a0Wiley\u2010VCH Verlag GmbH &#038; Co. KGaA, 2005.","date":"10\/31\/2017","format":false,"excerpt":"RE Garc\u00eda, ACE Reid, SA Langer, WC Carter\"Microstructural modeling of multifunctional material properties: the OOF project\"\u00a0Continuum Scale Simulation of Engineering Materials: Fundamentals-Microstructures-Process Applications,\u00a0573-587.\u00a0Wiley\u2010VCH Verlag GmbH & Co. KGaA, 2005. Abstract Recent advances in and applications of the public domain Object Oriented Finite Element software for Materials Science (OOF) are discussed.\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":466,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/d-w-chung-n-balke-s-v-kalinin-re-garcia-virtual-electrochemical-strain-microscopy-of-polycrystalline-licoo2-films-journal-of-the-electrochemical-society-15810a1083-a1089-2011\/","url_meta":{"origin":334,"position":5},"title":"D-W Chung, N Balke, S V Kalinin, RE Garc\u00eda &#8220;Virtual Electrochemical Strain Microscopy of Polycrystalline LiCoO2 Films.&#8221;\u00a0Journal of The Electrochemical Society. 158(10):A1083-A1089, 2011.","date":"11\/04\/2017","format":false,"excerpt":"D-W Chung, N Balke, S V Kalinin, RE Garc\u00eda \"Virtual Electrochemical Strain Microscopy of Polycrystalline LiCoO2 Films.\"\u00a0Journal of The Electrochemical Society. 158(10):A1083-A1089, 2011. Abstract A recently developed technique, electrochemical strain microscopy (ESM), utilizes the strong coupling between ionic current and anisotropic volumetric chemical expansion of lithium-ion electrode materials to dynamically\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\/334"}],"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=334"}],"version-history":[{"count":2,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/334\/revisions"}],"predecessor-version":[{"id":578,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/334\/revisions\/578"}],"wp:attachment":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/media?parent=334"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/categories?post=334"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/tags?post=334"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}