{"id":468,"date":"2017-11-04T13:41:43","date_gmt":"2017-11-04T13:41:43","guid":{"rendered":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/?p=468"},"modified":"2017-11-04T13:42:05","modified_gmt":"2017-11-04T13:42:05","slug":"468","status":"publish","type":"post","link":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/468\/","title":{"rendered":"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."},"content":{"rendered":"

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<\/a>.”\u00a0Journal of The Electrochemical Society. 159(5):A548-A552, 2012.<\/p>\n

Abstract<\/h3>\n
\n

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 resistivity of the cell, particularly at high discharge rates and power densities. In this paper, an analytical framework is presented to extend widely used empirical tortuosity relations such as the Bruggemann relation to incorporate the effects of the mesoscale tortuosity through analytical integration along the width of the electrode (in the limit of high porosities), and integration along a statistically representative tortuous path (in the limit of low porosities). The framework presented herein enables to establish analytical tortuosity-porosity relations that combine the constitutive properties of the individual components. As an example application, the macroscopic tortuosity-porosity relation of a mixture of two porous particle systems of widely different length scales and well-known individual tortuosity constitutive equations, one displaying mesoscale porosity (the carbon black-electrolyte mixture) and a second one displaying microporosity (the electrochemically active phase), are combined into a self-consistent macroscopic tortuosity expression that is in agreement with recently reported empirical measures of tortuosity.<\/p>\n<\/div>\n

<\/div>\n","protected":false},"excerpt":{"rendered":"

B Vijayaraghavan, DR Ely, Y-M Chiang, R Garc\u00eda-Garc\u00eda, RE Garc\u00eda “An Analytical…<\/p>\n

Continue reading “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.”<\/span>…<\/a><\/div>\n
Continue reading \"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.\"<\/span>…<\/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\/seeeSR-468","jetpack_likes_enabled":true,"jetpack-related-posts":[{"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":468,"position":0},"title":"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.","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 "Papers"","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":468,"position":1},"title":"M Ebner, D\u2010W Chung, RE Garc\u00eda, V Wood “Tortuosity Anisotropy in Lithium\u2010Ion Battery Electrodes.”\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 "Papers"","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":513,"url":"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\/","url_meta":{"origin":468,"position":2},"title":"R Garc\u00eda-Garc\u00eda, RE Garc\u00eda “Microstructural effects on the average properties in porous battery electrodes.”\u00a0Journal of Power Sources, 309:11-19, 2016.","date":"11\/04\/2017","format":false,"excerpt":"R Garc\u00eda-Garc\u00eda, RE Garc\u00eda \"Microstructural effects on the average properties in porous battery electrodes.\"\u00a0Journal of Power Sources, 309:11-19, 2016. Abstract 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\u2026","rel":"","context":"In "Papers"","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":468,"position":3},"title":"RE Garc\u00eda, Y-M Chiang “Spatially resolved modeling of microstructurally complex battery architectures.”\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 "Papers"","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":468,"position":4},"title":"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.","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 "Papers"","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":473,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/dr-ely-re-garcia-heterogeneous-nucleation-and-growth-of-lithium-electrodeposits-on-negative-electrodes-journal-of-the-electrochemical-society-1604a662-a668-2013\/","url_meta":{"origin":468,"position":5},"title":"DR Ely, RE Garc\u00eda “Heterogeneous Nucleation and Growth of Lithium Electrodeposits on Negative Electrodes.”\u00a0Journal of The Electrochemical Society. 160(4):A662-A668, 2013.","date":"11\/04\/2017","format":false,"excerpt":"DR Ely, RE Garc\u00eda \"Heterogeneous Nucleation and Growth of Lithium Electrodeposits on Negative Electrodes.\"\u00a0Journal of The Electrochemical Society. 160(4):A662-A668, 2013. Abstract By starting from fundamental principles, the heterogeneous nucleation and growth of electrodeposited anode materials is analyzed. Thermodynamically, we show that an overpotential-controlled critical radius has to be overcome in\u2026","rel":"","context":"In "Papers"","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"_links":{"self":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/468"}],"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=468"}],"version-history":[{"count":2,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/468\/revisions"}],"predecessor-version":[{"id":470,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/468\/revisions\/470"}],"wp:attachment":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/media?parent=468"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/categories?post=468"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/tags?post=468"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}