{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,7]],"date-time":"2026-10-07T17:04:15Z","timestamp":1791392655271,"version":"4.3.3"},"reference-count":43,"publisher":"The Electrochemical Society","issue":"6","license":[{"start":{"date-parts":[[2011,4,20]],"date-time":"2011-04-20T00:00:00Z","timestamp":1303257600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/page\/copyright"},{"start":{"date-parts":[[2011,4,20]],"date-time":"2011-04-20T00:00:00Z","timestamp":1303257600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["J. Electrochem. Soc."],"published-print":{"date-parts":[[2011,6,1]]},"abstract":"<jats:p>Lithium diffusion coefficient (<jats:inline-formula>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"ML1\" overflow=\"scroll\">\n                        <mml:mrow>\n                           <mml:mi>D<\/mml:mi>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                     <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"jes_158_6_A741ieqn1.jpg\" xlink:type=\"simple\"\/>\n                  <\/jats:inline-formula>) in Li<jats:italic>\n                     <jats:sub>y<\/jats:sub>\n                  <\/jats:italic>FeSO<jats:sub>4<\/jats:sub>F is investigated by means of three electrochemical techniques, namely potentiostatic intermittent titration technique (PITT), galvanostatic intermittent titration technique (GITT), and galvanostatic charge\/discharge at different C-rates. The analytic equations used for analyzing PITT and GITT are based on radial diffusion in spherical particles, which is more suitable to the type of electrode studied here than the original equations derived by Wen  et al. [<jats:italic>J. Electrochem. Soc<\/jats:italic>., <jats:bold>126<\/jats:bold>, 2258 (1979).] for a slab geometry. While PITT and GITT analyses with the analytic equations are only valid in the partial solid solution regions (<jats:inline-formula>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"ML2\" overflow=\"scroll\">\n                        <mml:mrow>\n                           <mml:mi>y<\/mml:mi>\n                           <mml:mo>\u2264<\/mml:mo>\n                           <mml:mn>0<\/mml:mn>\n                           <mml:mo>.<\/mml:mo>\n                           <mml:mn>29<\/mml:mn>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                     <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"jes_158_6_A741ieqn2.jpg\" xlink:type=\"simple\"\/>\n                  <\/jats:inline-formula> and <jats:inline-formula>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"ML3\" overflow=\"scroll\">\n                        <mml:mrow>\n                           <mml:mi>y<\/mml:mi>\n                           <mml:mo>\u2265<\/mml:mo>\n                           <mml:mn>0<\/mml:mn>\n                           <mml:mo>.<\/mml:mo>\n                           <mml:mn>83<\/mml:mn>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                     <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"jes_158_6_A741ieqn3.jpg\" xlink:type=\"simple\"\/>\n                  <\/jats:inline-formula> in Li<jats:italic>\n                     <jats:sub>y<\/jats:sub>\n                  <\/jats:italic>FeSO<jats:sub>4<\/jats:sub>F), the analysis of galvanostatic charge\/discharge with a mathematical model allows for the determination of <jats:inline-formula>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"ML4\" overflow=\"scroll\">\n                        <mml:mrow>\n                           <mml:mi>D<\/mml:mi>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                     <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"jes_158_6_A741ieqn4.jpg\" xlink:type=\"simple\"\/>\n                  <\/jats:inline-formula> over the entire lithium composition range. The average <jats:inline-formula>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"ML5\" overflow=\"scroll\">\n                        <mml:mrow>\n                           <mml:mi>D<\/mml:mi>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                     <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"jes_158_6_A741ieqn5.jpg\" xlink:type=\"simple\"\/>\n                  <\/jats:inline-formula> values found with PITT and GITT analyses are in good agreement with each other, and of the same order as those reported for Li<jats:italic>\n                     <jats:sub>y<\/jats:sub>\n                  <\/jats:italic>FePO<jats:sub>4<\/jats:sub> in the literature (ca. 10<jats:sub>\u221214<\/jats:sub> cm<jats:sub>2<\/jats:sub>\/s); However, <jats:inline-formula>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"ML6\" overflow=\"scroll\">\n                        <mml:mrow>\n                           <mml:mi>D<\/mml:mi>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                     <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"jes_158_6_A741ieqn6.jpg\" xlink:type=\"simple\"\/>\n                  <\/jats:inline-formula> is larger for Li<jats:italic>\n                     <jats:sub>y<\/jats:sub>\n                  <\/jats:italic>FeSO<jats:sub>4<\/jats:sub>F in the Li-rich composition range than in the Li-poor one, whereas it is the opposite for Li<jats:italic>\n                     <jats:sub>y<\/jats:sub>\n                  <\/jats:italic>FePO<jats:sub>4<\/jats:sub>. This result could explain why Li<jats:italic>\n                     <jats:sub>y<\/jats:sub>\n                  <\/jats:italic>FeSO<jats:sub>4<\/jats:sub>F has a better rate capability on discharge than Li<jats:italic>\n                     <jats:sub>y<\/jats:sub>\n                  <\/jats:italic>FePO<jats:sub>4<\/jats:sub>.<\/jats:p>","DOI":"10.1149\/1.3581087","type":"journal-article","created":{"date-parts":[[2011,4,20]],"date-time":"2011-04-20T22:05:22Z","timestamp":1303337122000},"page":"A741-A749","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":73,"title":["Measurement of Lithium Diffusion Coefficient in Li\n                  <sub>y<\/sub>\n               FeSO<sub>4<\/sub>F"],"prefix":"10.1149","volume":"158","author":[{"given":"C.","family":"Delacourt","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M.","family":"Ati","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"J. M.","family":"Tarascon","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"77","published-online":{"date-parts":[[2011,4,20]]},"reference":[{"key":"ba741_1-1","doi-asserted-by":"publisher","first-page":"2258","DOI":"10.1149\/1.2128939","volume":"126","author":"Wen","year":"1979","journal-title":"J. Electrochem. Soc."},{"key":"ba741_1-2","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1038\/35104644","volume":"414","author":"Tarascon","year":"2001","journal-title":"Nature (London)"},{"key":"ba741_1-3","doi-asserted-by":"publisher","first-page":"1188","DOI":"10.1149\/1.1837571","volume":"144","author":"Padhi","year":"1997","journal-title":"J. Electrochem. Soc."},{"key":"ba741_1-4","first-page":"17\u201322","volume":"Vol. 99\u20132","author":"Ravet","year":"1999"},{"key":"ba741_1-5","doi-asserted-by":"publisher","first-page":"503","DOI":"10.1016\/S0378-7753(01)00727-3","volume":"97\u201398","author":"Ravet","year":"2001","journal-title":"J. Power Sources"},{"key":"ba741_1-6","doi-asserted-by":"publisher","first-page":"224","DOI":"10.1149\/1.1348257","volume":"148","author":"Yamada","year":"2001","journal-title":"J. Electrochem. Soc."},{"key":"ba741_1-7","doi-asserted-by":"publisher","first-page":"A352","DOI":"10.1149\/1.2201987","volume":"9","author":"Delacourt","year":"2006","journal-title":"Electrochem. Solid State Lett."},{"key":"ba741_1-8","doi-asserted-by":"publisher","first-page":"68","DOI":"10.1038\/nmat2590","volume":"9","author":"Recham","year":"2010","journal-title":"Nature Mater."},{"key":"ba741_1-9","doi-asserted-by":"publisher","first-page":"A1007","DOI":"10.1149\/1.3457435","volume":"157","author":"Ati","year":"2010","journal-title":"J. Electrochem. Soc."},{"key":"ba741_1-10","doi-asserted-by":"publisher","first-page":"A150","DOI":"10.1149\/1.3477936","volume":"13","author":"Ati","year":"2010","journal-title":"Electrochem. Solid State Lett."},{"key":"ba741_1-11","doi-asserted-by":"publisher","first-page":"8738","DOI":"10.1002\/anie.201003743","volume":"49","author":"Tripathi","year":"2010","journal-title":"Angew. Chem. Int. Ed."},{"key":"ba741_1-12","doi-asserted-by":"publisher","first-page":"A13","DOI":"10.1149\/1.2388240","volume":"10","author":"Amin","year":"2007","journal-title":"Electrochem. Solid State Lett."},{"key":"ba741_1-13","doi-asserted-by":"publisher","first-page":"1683","DOI":"10.1016\/j.ssi.2008.01.079","volume":"179","author":"Amin","year":"2008","journal-title":"Solid State Ionics"},{"key":"ba741_1-14","doi-asserted-by":"publisher","first-page":"913","DOI":"10.1149\/1.1884787","volume":"152","author":"Delacourt","year":"2005","journal-title":"J. Electrochem. Soc."},{"key":"ba741_1-15","doi-asserted-by":"publisher","first-page":"1209","DOI":"10.1016\/j.ssi.2010.06.043","volume":"181","author":"Liu","year":"2010","journal-title":"Solid State Ionics"},{"key":"ba741_1-16","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1016\/j.ssi.2010.06.043","volume":"184","author":"Adams","year":"2011","journal-title":"Solid State Ionics"},{"key":"ba741_1-17","doi-asserted-by":"publisher","first-page":"2526","DOI":"10.1002\/anie.201006331","volume":"50","author":"Barpanda","year":"2011","journal-title":"Angew. Chem. Int. Ed."},{"key":"ba741_1-18","doi-asserted-by":"publisher","first-page":"620","DOI":"10.1016\/j.jpowsour.2005.05.070","volume":"156","author":"Santhanagopalan","year":"2006","journal-title":"J. Power Sources"},{"key":"ba741_1-19","author":"Carslaw","year":"1973"},{"key":"ba741_1-20","doi-asserted-by":"publisher","first-page":"E444","DOI":"10.1149\/1.1409397","volume":"148","author":"Subramanian","year":"2001","journal-title":"J. Electrochem. Soc."},{"key":"ba741_1-21","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1016\/S0378-7753(00)00656-X","volume":"96","author":"Subramanian","year":"2001","journal-title":"J. Power Sources"},{"key":"ba741_1-22","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1016\/j.ssi.2005.09.053","volume":"177","author":"Liu","year":"2006","journal-title":"Solid State Ionics"},{"key":"ba741_1-23","doi-asserted-by":"publisher","first-page":"A63","DOI":"10.1149\/1.3515902","volume":"158","author":"Safari","year":"2011","journal-title":"J. Electrochem. Soc."},{"key":"ba741_1-24","doi-asserted-by":"publisher","author":"Delacourt","journal-title":"Electrochim. Acta","DOI":"10.1016\/j.electacta.2011.03.030"},{"key":"ba741_1-25","author":"Newman","year":"2004"},{"key":"ba741_1-26","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1016\/0921-4526(93)90108-I","volume":"192","author":"Rodriguez-Carvajal","year":"1993","journal-title":"Physica B"},{"key":"ba741_1-27","doi-asserted-by":"publisher","first-page":"1115","DOI":"10.1002\/adfm.v17:7","volume":"17","author":"Meethong","year":"2007","journal-title":"Adv. Funct. Mater."},{"key":"ba741_1-28","doi-asserted-by":"publisher","first-page":"1060","DOI":"10.1002\/adfm.200801617","volume":"19","author":"Meethong","year":"2009","journal-title":"Adv. Funct. Mater."},{"key":"ba741_1-29","doi-asserted-by":"publisher","first-page":"1442","DOI":"10.1016\/j.jpowsour.2010.08.008","volume":"196","author":"Zhu","year":"2011","journal-title":"J. Power Sources"},{"key":"ba741_1-30","doi-asserted-by":"publisher","first-page":"A110","DOI":"10.1149\/1.2159299","volume":"9","author":"Srinivasan","year":"2006","journal-title":"Electrochem. Solid State Lett."},{"key":"ba741_1-31","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1149\/1.2987767","volume":"16","author":"Thomas-Alyea","year":"2008","journal-title":"ECS Trans."},{"key":"ba741_1-32","doi-asserted-by":"publisher","first-page":"1517","DOI":"10.1149\/1.1785012","volume":"151","author":"Srinivasan","year":"2004","journal-title":"J. Electrochem. Soc."},{"key":"ba741_1-33","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/S0167-2738(02)00134-0","volume":"148","author":"Prosini","year":"2002","journal-title":"Solid State Ionics"},{"key":"ba741_1-34","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1149\/1.1506962","volume":"5","author":"Franger","year":"2002","journal-title":"Electrochem. Solid State Lett."},{"key":"ba741_1-35","doi-asserted-by":"publisher","first-page":"2617","DOI":"10.1016\/j.ssi.2006.03.047","volume":"177","author":"Molenda","year":"2006","journal-title":"Solid State Ionics"},{"key":"ba741_1-36","doi-asserted-by":"publisher","first-page":"A253","DOI":"10.1149\/1.2434687","volume":"154","author":"Yu","year":"2007","journal-title":"J. Electrochem. Soc."},{"key":"ba741_1-37","doi-asserted-by":"publisher","first-page":"16656","DOI":"10.1021\/jp074490u","volume":"111","author":"Kasavajjula","year":"2007","journal-title":"J. Phys. Chem. C"},{"key":"ba741_1-38","doi-asserted-by":"publisher","first-page":"5071","DOI":"10.1016\/j.electacta.2007.10.069","volume":"53","author":"Gao","year":"2008","journal-title":"Electrochim. Acta"},{"key":"ba741_1-39","author":"Thorat","year":"2009"},{"key":"ba741_1-40","doi-asserted-by":"publisher","first-page":"2329","DOI":"10.1016\/j.electacta.2008.10.065","volume":"54","author":"Tang","year":"2009","journal-title":"Electrochim. Acta"},{"key":"ba741_1-41","doi-asserted-by":"publisher","first-page":"849","DOI":"10.1007\/s10008-008-0598-z","volume":"13","author":"Dell\u2019Era","year":"2009","journal-title":"J. Solid State Electrochem."},{"key":"ba741_1-42","doi-asserted-by":"publisher","first-page":"2939","DOI":"10.1016\/j.electacta.2009.12.079","volume":"55","author":"Churikov","year":"2010","journal-title":"Electrochim. Acta"},{"key":"ba741_1-43","doi-asserted-by":"publisher","first-page":"2830","DOI":"10.1021\/jp9113333","volume":"114","author":"Zhu","year":"2010","journal-title":"J. Phys. Chem. C"}],"container-title":["Journal of The Electrochemical Society"],"original-title":[],"link":[{"URL":"https:\/\/iopscience.iop.org\/article\/10.1149\/1.3581087","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1149\/1.3581087\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1149\/1.3581087\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/syndication.highwire.org\/content\/doi\/10.1149\/1.3581087","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1149\/1.3581087\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,12,13]],"date-time":"2021-12-13T13:36:52Z","timestamp":1639402612000},"score":1,"resource":{"primary":{"URL":"https:\/\/iopscience.iop.org\/article\/10.1149\/1.3581087"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,4,20]]},"references-count":43,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2011,4,20]]},"published-print":{"date-parts":[[2011,6,1]]}},"URL":"https:\/\/doi.org\/10.1149\/1.3581087","relation":{},"ISSN":["0013-4651","1945-7111"],"issn-type":[{"value":"0013-4651","type":"print"},{"value":"1945-7111","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,4,20]]},"assertion":[{"value":"Measurement of Lithium Diffusion Coefficient in Li\n                  y\n               FeSO4F","name":"article_title","label":"Article Title"},{"value":"Journal of The Electrochemical Society","name":"journal_title","label":"Journal Title"},{"value":"paper","name":"article_type","label":"Article Type"},{"value":"\u00a9 2011 ECS - The Electrochemical Society","name":"copyright_information","label":"Copyright Information"},{"value":"2011-01-06","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2011-04-20","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}