{"id":513,"date":"2017-11-04T15:58:18","date_gmt":"2017-11-04T15:58:18","guid":{"rendered":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/?p=513"},"modified":"2017-11-04T15:58:18","modified_gmt":"2017-11-04T15:58:18","slug":"r-garcia-garcia-re-garcia-microstructural-effects-on-the-average-properties-in-porous-battery-electrodes-journal-of-power-sources-30911-19-2016","status":"publish","type":"post","link":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/r-garcia-garcia-re-garcia-microstructural-effects-on-the-average-properties-in-porous-battery-electrodes-journal-of-power-sources-30911-19-2016\/","title":{"rendered":"R Garc\u00eda-Garc\u00eda, RE Garc\u00eda &#8220;Microstructural effects on the average properties in porous battery electrodes.&#8221;\u00a0Journal of Power Sources, 309:11-19, 2016."},"content":{"rendered":"<p>R Garc\u00eda-Garc\u00eda, RE Garc\u00eda &#8220;<a class=\"gsc_vcd_title_link\" href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0378775315305577\" target=\"_blank\" rel=\"noopener\" data-clk=\"hl=en&amp;sa=T&amp;ei=UfX9WefdEJHAmgGj3xA\">Microstructural effects on the average properties in porous battery electrodes<\/a>.&#8221;\u00a0<strong>Journal of Power Sources<\/strong>, 309:11-19, 2016.<\/p>\n<h3>Abstract<\/h3>\n<p>A theoretical framework is formulated to analytically quantify the effects of the microstructure on the average properties of porous electrodes, including reactive area density and the through-thickness tortuosity as observed in experimentally-determined tomographic sections. The proposed formulation includes the microstructural non-idealities but also captures the well-known perfectly spherical limit. Results demonstrate that in the absence of any particle alignment, the through-thickness Bruggeman exponent <em>\u03b1 \u00a0<\/em>, reaches an asymptotic value of <span id=\"mmlsi1\" class=\"mathmlsrc\"><span class=\"formulatext stixSupport mathImg\" title=\"Click to view the MathML source\" data-mathurl=\"\/science?_ob=MathURL&amp;_method=retrieve&amp;_eid=1-s2.0-S0378775315305577&amp;_mathId=si1.gif&amp;_user=111111111&amp;_pii=S0378775315305577&amp;_rdoc=1&amp;_issn=03787753&amp;md5=26a6c13df15591a21a75427a38c4a288\">\u03b1\u223c2\/3<\/span><\/span> as the shape of the particles become increasingly prolate (needle- or fiber-like). In contrast, the Bruggeman exponent diverges as the shape of the particles become increasingly oblate, regardless of the degree of particle alignment. For aligned particles, tortuosity can be dramatically suppressed, <em>e.g. \u00a0<\/em>, <span id=\"mmlsi2\" class=\"mathmlsrc\"><span class=\"formulatext stixSupport mathImg\" title=\"Click to view the MathML source\" data-mathurl=\"\/science?_ob=MathURL&amp;_method=retrieve&amp;_eid=1-s2.0-S0378775315305577&amp;_mathId=si2.gif&amp;_user=111111111&amp;_pii=S0378775315305577&amp;_rdoc=1&amp;_issn=03787753&amp;md5=ae99d68b243907b7714751351f713d85\">\u03b1\u21921\/10<\/span><\/span> for <span id=\"mmlsi3\" class=\"mathmlsrc\"><span class=\"formulatext stixSupport mathImg\" title=\"Click to view the MathML source\" data-mathurl=\"\/science?_ob=MathURL&amp;_method=retrieve&amp;_eid=1-s2.0-S0378775315305577&amp;_mathId=si3.gif&amp;_user=111111111&amp;_pii=S0378775315305577&amp;_rdoc=1&amp;_issn=03787753&amp;md5=bfd3a0006357ad415ec001e08c436207\">r<sub>a<\/sub>\u21921\/10<\/span><\/span> and <span id=\"mmlsi4\" class=\"mathmlsrc\"><span class=\"formulatext stixSupport mathImg\" title=\"Click to view the MathML source\" data-mathurl=\"\/science?_ob=MathURL&amp;_method=retrieve&amp;_eid=1-s2.0-S0378775315305577&amp;_mathId=si4.gif&amp;_user=111111111&amp;_pii=S0378775315305577&amp;_rdoc=1&amp;_issn=03787753&amp;md5=d8eb7675f7628a03912cf2220df6ebb6\">MRD\u223c40<\/span><\/span>. Particle size polydispersity impacts the porosity-tortuosity relation when the average particle size is comparable to the thickness of the electrode layers. Electrode reactivity density can be arbitrarily increased as the particles become increasingly oblate, but asymptotically reach a minimum value as the particles become increasingly prolate. In the limit of a porous electrode comprised of fiber-like particles, the area density decreases by <span id=\"mmlsi5\" class=\"mathmlsrc\"><span class=\"formulatext stixSupport mathImg\" title=\"Click to view the MathML source\" data-mathurl=\"\/science?_ob=MathURL&amp;_method=retrieve&amp;_eid=1-s2.0-S0378775315305577&amp;_mathId=si5.gif&amp;_user=111111111&amp;_pii=S0378775315305577&amp;_rdoc=1&amp;_issn=03787753&amp;md5=619d5bd0834a37edc8b3e33b6db01556\">24%<\/span><\/span>, with respect to a distribution of perfectly spherical particles.<\/p>\n","protected":false},"excerpt":{"rendered":"<p class=\"post-excerpt\" class=\"post-excerpt\">R Garc\u00eda-Garc\u00eda, RE Garc\u00eda &#8220;Microstructural effects on the average properties in porous&hellip;<\/p>\n<div class=\"link-more\"><a href=\"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/r-garcia-garcia-re-garcia-microstructural-effects-on-the-average-properties-in-porous-battery-electrodes-journal-of-power-sources-30911-19-2016\/\">Continue reading<span class=\"screen-reader-text\"> &#8220;R Garc\u00eda-Garc\u00eda, RE Garc\u00eda &#8220;Microstructural effects on the average properties in porous battery electrodes.&#8221;\u00a0Journal of Power Sources, 309:11-19, 2016.&#8221;<\/span>&hellip;<\/a><\/div>\n<div class=\"link-more\"><a href=\"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/r-garcia-garcia-re-garcia-microstructural-effects-on-the-average-properties-in-porous-battery-electrodes-journal-of-power-sources-30911-19-2016\/\">Continue reading<span class=\"screen-reader-text\"> \"R Garc\u00eda-Garc\u00eda, RE Garc\u00eda &#8220;Microstructural effects on the average properties in porous battery electrodes.&#8221;\u00a0Journal of Power Sources, 309:11-19, 2016.\"<\/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":[9,14,15,62],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/peeeSR-8h","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":468,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/468\/","url_meta":{"origin":513,"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":892,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2021\/04\/03\/a-deva-v-krs-l-robison-c-adorf-b-benes-s-c-glotzer-and-r-edwin-garcia-data-driven-analytics-of-porous-battery-microstructures-energy-environmental-science-march-2021\/","url_meta":{"origin":513,"position":1},"title":"A. Deva, V. Krs, L. Robinson, C. Adorf, B. Benes, S. C. Glotzer and R. Edwin Garc\u00eda   &#8220;Data Driven Analytics of Porous Battery Microstructures&#8221; Energy &#038; Environmental Science. 14:2485, 2021.","date":"04\/03\/2021","format":false,"excerpt":"A. Deva, V. Krs, L. Robinson, C. Adorf, B. Benes, S. C. Glotzer and R. Edwin Garc\u00eda \"Data Driven Analytics of Porous Battery Microstructures.\"\u00a0Energy & Environmental Science. 14:2485, 2021.\u00a0https:\/\/doi.org\/10.1039\/D1EE00454A abstract The microstructural optimization of porous lithium ion battery electrodes has traditionally been driven by experimental trial and error efforts, based\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":479,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/d-w-chung-m-ebner-dr-ely-v-wood-re-garcia-validity-of-the-bruggeman-relation-for-porous-electrodes-modelling-and-simulation-in-materials-science-and-engineering-217074009-2013\/","url_meta":{"origin":513,"position":2},"title":"D-W Chung, M Ebner, DR Ely, V Wood, RE Garc\u00eda &#8220;Validity of the Bruggeman relation for porous electrodes.&#8221;\u00a0Modelling and Simulation in Materials Science and Engineering. 21(7):074009, 2013.","date":"11\/04\/2017","format":false,"excerpt":"D-W Chung, M Ebner, DR Ely, V Wood, RE Garc\u00eda \"Validity of the Bruggeman relation for porous electrodes.\"\u00a0Modelling and Simulation in Materials Science and Engineering. 21(7):074009, 2013. Abstract The ability to engineer electrode microstructures to increase power and energy densities is critical to the development of high-energy density lithium-ion batteries.\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":494,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/m-ebner-d%e2%80%90w-chung-re-garcia-v-wood-tortuosity-anisotropy-in-lithium%e2%80%90ion-battery-electrodes-advanced-energy-materials-451301278-2014\/","url_meta":{"origin":513,"position":3},"title":"M Ebner, D\u2010W Chung, RE Garc\u00eda, V Wood &#8220;Tortuosity Anisotropy in Lithium\u2010Ion Battery Electrodes.&#8221;\u00a0Advanced Energy Materials, 4(5):1301278, 2014.","date":"11\/04\/2017","format":false,"excerpt":"M Ebner, D\u2010W Chung, RE Garc\u00eda, V Wood \"Tortuosity Anisotropy in Lithium\u2010Ion Battery Electrodes.\"\u00a0Advanced Energy Materials, 4(5):1301278, 2014. Abstract A systematic experimental study of lithium-ion battery porous electrode microstructures using synchrotron X-ray tomographic microscopy finds particle shape and fabrication-induced alignment to cause tortuosity anisotropy, which can impact battery performance. Tortuosity\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":939,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2022\/08\/04\/y-sun-s-mitra-ayalasomayajula-a-deva-g-lin-r-edwin-garcia-artificial-intelligence-inferred-microstructural-properties-from-voltage-capacity-curves-scientific-reports-1213421\/","url_meta":{"origin":513,"position":4},"title":"Y. Sun, S. Mitra Ayalasomayajula, A. Deva, G. Lin &#038; R. Edwin Garc\u00eda &#8220;Artificial intelligence inferred microstructural properties from voltage\u2013capacity curves.&#8221; Scientific Reports. 12:13421, 2022.","date":"08\/04\/2022","format":false,"excerpt":"Y. Sun, S. Mitra Ayalasomayajula, A. Deva, G. Lin & R. Edwin Garc\u00eda \"Artificial intelligence inferred microstructural properties from voltage\u2013capacity curves.\" Scientific Reports. 12:13421, 2022. https:\/\/doi.org\/10.1038\/s41598-022-16942-5 Abstract The quantification of microstructural properties to optimize battery design and performance, to maintain product quality, or to track the degradation of LIBs remains\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":513,"position":5},"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":[]}],"_links":{"self":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/513"}],"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=513"}],"version-history":[{"count":1,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/513\/revisions"}],"predecessor-version":[{"id":514,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/513\/revisions\/514"}],"wp:attachment":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/media?parent=513"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/categories?post=513"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/tags?post=513"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}