{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,29]],"date-time":"2026-10-29T03:50:59Z","timestamp":1793245859405,"version":"4.5.0"},"reference-count":86,"publisher":"The Electrochemical Society","issue":"4","license":[{"start":{"date-parts":[[2021,4,19]],"date-time":"2021-04-19T00:00:00Z","timestamp":1618790400000},"content-version":"vor","delay-in-days":18,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/iop-standard\/v1"},{"start":{"date-parts":[[2021,4,19]],"date-time":"2021-04-19T00:00:00Z","timestamp":1618790400000},"content-version":"tdm","delay-in-days":18,"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":[[2021,4,1]]},"abstract":"<jats:p>\n                    An elementary kinetic model was developed to predict the electrochemical response of porous LSCF and LSCF-CGO electrodes. The model was validated thanks to experiments performed on symmetrical cells using a three-electrode setup. After the model calibration on polarization curves, it has been shown that the model is able to simulate accurately the experimental impedance diagram at OCP and under polarization without additional fitting. Moreover, the evolution of the electrode polarization resistance with the oxygen partial pressure is well reproduced by the model. The electrodes reaction mechanism was thoroughly analyzed and it has been shown that the transition from the bulk path to the surface path depends on the temperature, the polarization and the oxygen partial pressure. The rate-determining steps for the LSCF electrode have been identified at OCP as function of the oxygen partial pressure. Finally, a sensitivity analysis has been performed to study the impact of LSCF demixing on the electrode performances. For a given decomposition, it has been highlighted that the surface passivation would be more impacting than the decrease of the ionic conductivity. Moreover, the impact of the LSCF decomposition would be more detrimental for the electrode performances evaluated in electrolysis mode.\n                    <jats:table-wrap id=\"jesabf40aft1\" orientation=\"portrait\" position=\"anchor\">\n                      <jats:table>\n                        <jats:colgroup span=\"1\">\n                          <jats:col align=\"left\" span=\"1\"\/>\n                          <jats:col align=\"left\" span=\"1\"\/>\n                          <jats:col align=\"left\" span=\"1\"\/>\n                        <\/jats:colgroup>\n                        <jats:tbody>\n                          <jats:tr>\n                            <jats:td colspan=\"3\" rowspan=\"1\">\n                              <jats:bold>List of symbols<\/jats:bold>\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"3\" rowspan=\"1\">Roman Symbols:<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>C<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>d<\/mml:mi>\n                                      <mml:mi>l<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi mathvariant=\"normal\">surface<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Surface double layer capacitance<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (F m\n                              <jats:sup>\u22122<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>C<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>d<\/mml:mi>\n                                      <mml:mi>l<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi mathvariant=\"normal\">CGO<\/mml:mi>\n                                      <mml:mo>\/<\/mml:mo>\n                                      <mml:mi mathvariant=\"normal\">LSCF<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Double layer capacitance at the LSCF\/CGO interface<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (F m\n                              <jats:sup>\u22122<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>C<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:msubsup>\n                                        <mml:mrow>\n                                          <mml:mi>O<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi>o<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi>x<\/mml:mi>\n                                        <\/mml:mrow>\n                                      <\/mml:msubsup>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi mathvariant=\"normal\">max<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Maximum concentration of neutral oxygen atoms in LSCF<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (mol m\n                              <jats:sup>\u22123<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>C<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:msubsup>\n                                        <mml:mrow>\n                                          <mml:mi>V<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi>o<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mo>\u00b7<\/mml:mo>\n                                          <mml:mo>\u00b7<\/mml:mo>\n                                        <\/mml:mrow>\n                                      <\/mml:msubsup>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Vacancies concentration in LSCF<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (mol m\n                              <jats:sup>\u22123<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>C<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:msubsup>\n                                        <mml:mrow>\n                                          <mml:mi>V<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi>o<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mo>\u00b7<\/mml:mo>\n                                          <mml:mo>\u00b7<\/mml:mo>\n                                        <\/mml:mrow>\n                                      <\/mml:msubsup>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi mathvariant=\"normal\">eq<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Vacancies concentration in LSCF at equilibrium<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (mol m\n                              <jats:sup>\u22123<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>D<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>c<\/mml:mi>\n                                      <mml:mi>h<\/mml:mi>\n                                      <mml:mi>e<\/mml:mi>\n                                      <mml:mi>m<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Bulk oxygen chemical diffusion coefficient in LSCF<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (m\n                              <jats:sup>2<\/jats:sup>\n                              s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>D<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>i<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>e<\/mml:mi>\n                                      <mml:mi>f<\/mml:mi>\n                                      <mml:mi>f<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Effective diffusion for the i-th species<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (m\n                              <jats:sup>2<\/jats:sup>\n                              s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>D<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:msubsup>\n                                        <mml:mrow>\n                                          <mml:mi>V<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi>O<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi>\u2022<\/mml:mi>\n                                          <mml:mi>\u2022<\/mml:mi>\n                                        <\/mml:mrow>\n                                      <\/mml:msubsup>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Oxygen vancancies self-diffusion coefficient<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (m\n                              <jats:sup>2<\/jats:sup>\n                              s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>D<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>k<\/mml:mi>\n                                      <mml:mo>,<\/mml:mo>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>O<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mn>2<\/mml:mn>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Knudsen diffusion coefficient<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (m\n                              <jats:sup>2<\/jats:sup>\n                              s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>D<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>O<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mn>2<\/mml:mn>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                      <mml:mo>,<\/mml:mo>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>N<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mn>2<\/mml:mn>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Molecular diffusion coefficient<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (m\n                              <jats:sup>2<\/jats:sup>\n                              s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>D<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:msup>\n                                        <mml:mrow>\n                                          <mml:mi>O<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mo>\u2212<\/mml:mo>\n                                      <\/mml:msup>\n                                      <mml:mo>\u2212<\/mml:mo>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>s<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi>L<\/mml:mi>\n                                          <mml:mi>S<\/mml:mi>\n                                          <mml:mi>C<\/mml:mi>\n                                          <mml:mi>F<\/mml:mi>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Diffusion coefficient of the oxygen ad-ions<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (m\n                              <jats:sup>2<\/jats:sup>\n                              s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>D<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>O<\/mml:mi>\n                                      <mml:mo>\u2212<\/mml:mo>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>s<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi>L<\/mml:mi>\n                                          <mml:mi>S<\/mml:mi>\n                                          <mml:mi>C<\/mml:mi>\n                                          <mml:mi>F<\/mml:mi>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Diffusion coefficient of the oxygen ad-atoms<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (m\n                              <jats:sup>2<\/jats:sup>\n                              s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>D<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>O<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mn>2<\/mml:mn>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                      <mml:mo>\u2212<\/mml:mo>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>s<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi>L<\/mml:mi>\n                                          <mml:mi>S<\/mml:mi>\n                                          <mml:mi>C<\/mml:mi>\n                                          <mml:mi>F<\/mml:mi>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Diffusion coefficient of the oxygen ad-molecules<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (m\n                              <jats:sup>2<\/jats:sup>\n                              s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:mi>E<\/mml:mi>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Local electrode potential<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(V)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>E<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>a<\/mml:mi>\n                                      <mml:mi>c<\/mml:mi>\n                                      <mml:mi>t<\/mml:mi>\n                                      <mml:mo>,<\/mml:mo>\n                                      <mml:mi>i<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Activation energy for the i-th species<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (kJ mol\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:mi>F<\/mml:mi>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Faraday\u2019s constant<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (C mol\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>F<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>T<\/mml:mi>\n                                      <mml:mi>o<\/mml:mi>\n                                      <mml:mi>t<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>i<\/mml:mi>\n                                      <mml:mi>n<\/mml:mi>\n                                      <mml:mi>l<\/mml:mi>\n                                      <mml:mi>e<\/mml:mi>\n                                      <mml:mi>t<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Total inlet gas flow rate<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (mol s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msup>\n                                    <mml:mrow>\n                                      <mml:mi>h<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mo>\u00b7<\/mml:mo>\n                                  <\/mml:msup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Hole defect in LSCF<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mover accent=\"true\">\n                                        <mml:mi>i<\/mml:mi>\n                                        <mml:mo>\u20d7<\/mml:mo>\n                                      <\/mml:mover>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>io<\/mml:mi>\n                                      <mml:mo>\/<\/mml:mo>\n                                      <mml:mi>e<\/mml:mi>\n                                      <mml:mo>\u2019<\/mml:mo>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Ionic current density in CGO\/Electronic current density in LSCF<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (A m\n                              <jats:sup>\u22122<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>K<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>e<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>i<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Thermodynamic equilibrium constant for the i-th species<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>k<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mo>+<\/mml:mo>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              Forward reaction kinetic constants for R1 for the LSCF\n                              <jats:sup>(*)<\/jats:sup>\n                              or LSCF-CGO\n                              <jats:sup>(**)<\/jats:sup>\n                              electrode\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:sup>(*)<\/jats:sup>\n                              (mol m\n                              <jats:sup>\u22121<\/jats:sup>\n                              s\n                              <jats:sup>\u22121<\/jats:sup>\n                              ) or\n                              <jats:sup>(**)<\/jats:sup>\n                              (mol m\n                              <jats:sup>\u22122<\/jats:sup>\n                              s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>k<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi mathvariant=\"normal\">ox<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi mathvariant=\"normal\">LSCF<\/mml:mi>\n                                      <mml:mo>\/<\/mml:mo>\n                                      <mml:mi mathvariant=\"normal\">gas<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Forward reaction kinetic constants for R2<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (m\n                              <jats:sup>3<\/jats:sup>\n                              mol\n                              <jats:sup>\u22121<\/jats:sup>\n                              s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>k<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi mathvariant=\"normal\">ox<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi mathvariant=\"normal\">TPBls<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              Forward reaction kinetic constants for R3 for the LSCF\n                              <jats:sup>(*)<\/jats:sup>\n                              or LSCF-CGO\n                              <jats:sup>(**)<\/jats:sup>\n                              electrode\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:sup>(*)<\/jats:sup>\n                              (m s\n                              <jats:sup>\u22121<\/jats:sup>\n                              ) or\n                              <jats:sup>(**)<\/jats:sup>\n                              (s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>k<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi mathvariant=\"normal\">deion<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Forward reaction kinetic constants for R4<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>k<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi mathvariant=\"normal\">ass<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Forward reaction kinetic constants for R5<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (mol\n                              <jats:sup>2<\/jats:sup>\n                              m\n                              <jats:sup>\u22121<\/jats:sup>\n                              s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>k<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi mathvariant=\"normal\">des<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Forward reaction kinetic constants for R6<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:mi mathvariant=\"italic\">\u2113<\/mml:mi>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Electrode thickness<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u03bcm)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:mi mathvariant=\"italic\">\u2113<\/mml:mi>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                              <jats:sub>\n                                <jats:italic>CGO<\/jats:italic>\n                              <\/jats:sub>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Electrolyte thickness<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u03bcm)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>M<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>i<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Molar mass for the i-th species<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (g mol\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:italic>m<\/jats:italic>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Reaction order<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mover accent=\"true\">\n                                        <mml:mi>N<\/mml:mi>\n                                        <mml:mo>\u20d7<\/mml:mo>\n                                      <\/mml:mover>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>i<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Molar flux of the i-th species<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (mol\u00b7m\n                              <jats:sup>\u22122<\/jats:sup>\n                              \u00b7s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>O<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>o<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>x<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                  <mml:mrow>\n                                    <mml:mo stretchy=\"false\">(<\/mml:mo>\n                                    <mml:mi>L<\/mml:mi>\n                                    <mml:mi>S<\/mml:mi>\n                                    <mml:mi>C<\/mml:mi>\n                                    <mml:mi>F<\/mml:mi>\n                                    <mml:mo stretchy=\"false\">)<\/mml:mo>\n                                  <\/mml:mrow>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Oxygen atom in the LSCF lattice<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>O<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>o<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>x<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                  <mml:mrow>\n                                    <mml:mo stretchy=\"false\">(<\/mml:mo>\n                                    <mml:mi>C<\/mml:mi>\n                                    <mml:mi>G<\/mml:mi>\n                                    <mml:mi>O<\/mml:mi>\n                                    <mml:mo stretchy=\"false\">)<\/mml:mo>\n                                  <\/mml:mrow>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Oxygen atom in the CGO lattice<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msup>\n                                    <mml:mrow>\n                                      <mml:mi>O<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mo>\u2212<\/mml:mo>\n                                  <\/mml:msup>\n                                  <mml:mo>\u2212<\/mml:mo>\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>s<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>L<\/mml:mi>\n                                      <mml:mi>S<\/mml:mi>\n                                      <mml:mi>C<\/mml:mi>\n                                      <mml:mi>F<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Oxygen ad-ion on LSCF surface<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:mi>O<\/mml:mi>\n                                  <mml:mo>\u2212<\/mml:mo>\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>s<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>L<\/mml:mi>\n                                      <mml:mi>S<\/mml:mi>\n                                      <mml:mi>C<\/mml:mi>\n                                      <mml:mi>F<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Oxygen ad-atom on LSCF surface<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>O<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mn>2<\/mml:mn>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                  <mml:mo>\u2212<\/mml:mo>\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>s<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>L<\/mml:mi>\n                                      <mml:mi>S<\/mml:mi>\n                                      <mml:mi>C<\/mml:mi>\n                                      <mml:mi>F<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Oxygen ad-molecule on LSCF surface<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:italic>O<\/jats:italic>\n                              <jats:sub>\n                                <jats:italic>2<\/jats:italic>\n                              <\/jats:sub>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Gaseous oxygen molecule<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>P<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>O<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mn>2<\/mml:mn>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Oxygen partial pressure<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(atm)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>P<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>t<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Total pressure<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(atm)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mover accent=\"true\">\n                                        <mml:mi>r<\/mml:mi>\n                                        <mml:mo>\u00af<\/mml:mo>\n                                      <\/mml:mover>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>p<\/mml:mi>\n                                      <mml:mi>o<\/mml:mi>\n                                      <mml:mi>r<\/mml:mi>\n                                      <mml:mi>e<\/mml:mi>\n                                      <mml:mi>s<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Mean pore radius<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(m)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:mi>R<\/mml:mi>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">universal gas constant<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (J mol\n                              <jats:sup>\u22121<\/jats:sup>\n                              K\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>R<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>s<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Serial resistance<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              \u03a9 cm\n                              <jats:sup>2<\/jats:sup>\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>R<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>p<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Polarization resistance<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              \u03a9 cm\n                              <jats:sup>2<\/jats:sup>\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>s<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi mathvariant=\"normal\">LSCF<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Adsorption site on LSCF surface<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>S<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>p<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi mathvariant=\"normal\">CGO<\/mml:mi>\n                                      <mml:mo>\/<\/mml:mo>\n                                      <mml:mi mathvariant=\"normal\">LSCF<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              Specific surface area between CGO and LSCF for the LSCF\n                              <jats:sup>(*)<\/jats:sup>\n                              or LSCF-CGO\n                              <jats:sup>(**)<\/jats:sup>\n                              electrode\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:sup>(*)<\/jats:sup>\n                              (\u2013) or\n                              <jats:sup>(**)<\/jats:sup>\n                              (m\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>S<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>p<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi mathvariant=\"normal\">LSCF<\/mml:mi>\n                                      <mml:mo>\/<\/mml:mo>\n                                      <mml:mi mathvariant=\"normal\">gas<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Specific surface area between LSCF and gas phase<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (m\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>S<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>e<\/mml:mi>\n                                      <mml:mi>l<\/mml:mi>\n                                      <mml:mo>.<\/mml:mo>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Electrode surface<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (cm\n                              <jats:sup>2<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:mi>T<\/mml:mi>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Absolute temperature<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(K)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>V<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>i<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Fuller\u2019s volume for the i-th species<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>V<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>o<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mo>\u00b7<\/mml:mo>\n                                      <mml:mo>\u00b7<\/mml:mo>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                  <mml:mrow>\n                                    <mml:mo stretchy=\"false\">(<\/mml:mo>\n                                    <mml:mi>L<\/mml:mi>\n                                    <mml:mi>S<\/mml:mi>\n                                    <mml:mi>C<\/mml:mi>\n                                    <mml:mi>F<\/mml:mi>\n                                    <mml:mo stretchy=\"false\">)<\/mml:mo>\n                                  <\/mml:mrow>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Oxygen vacancy in the LSCF lattice<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>V<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>o<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mo>\u00b7<\/mml:mo>\n                                      <mml:mo>\u00b7<\/mml:mo>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                  <mml:mrow>\n                                    <mml:mo stretchy=\"false\">(<\/mml:mo>\n                                    <mml:mi>C<\/mml:mi>\n                                    <mml:mi>G<\/mml:mi>\n                                    <mml:mi>O<\/mml:mi>\n                                    <mml:mo stretchy=\"false\">)<\/mml:mo>\n                                  <\/mml:mrow>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Oxygen vacancy in the CGO lattice<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>y<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mfenced close=\")\" open=\"(\" separators=\"\">\n                                        <mml:mrow>\n                                          <mml:mi>i<\/mml:mi>\n                                        <\/mml:mrow>\n                                      <\/mml:mfenced>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Molar fraction of species i-th species<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"3\" rowspan=\"1\">Greek Symbols:<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>\u03b1<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>R<\/mml:mi>\n                                      <mml:mi>i<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>ox<\/mml:mi>\n                                      <mml:mo>\/<\/mml:mo>\n                                      <mml:mi>red<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Charge transfer coefficient for oxidation or reduction for the reaction Ri<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:mi mathvariant=\"normal\">\u0393<\/mml:mi>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Surface density of available sites on LSCF<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (mol m\n                              <jats:sup>\u22122<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:italic>\u03b5<\/jats:italic>\n                              <jats:sub>\n                                <jats:italic>X<\/jats:italic>\n                              <\/jats:sub>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Phase volume fraction for the phase X<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:italic>\u03b7<\/jats:italic>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Overpotential<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(V)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>\u03b8<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:msup>\n                                        <mml:mrow>\n                                          <mml:mi>O<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mo>\u2212<\/mml:mo>\n                                      <\/mml:msup>\n                                      <mml:mo>\u2013<\/mml:mo>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>s<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi mathvariant=\"normal\">LSCF<\/mml:mi>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Coverage of oxygen ions on LSCF<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>\u03b8<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>O<\/mml:mi>\n                                      <mml:mo>\u2013<\/mml:mo>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>s<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi mathvariant=\"normal\">LSCF<\/mml:mi>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Coverage of oxygen atoms on LSCF<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>\u03b8<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>O<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mn>2<\/mml:mn>\n                                          <mml:mo>\u2212<\/mml:mo>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>s<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi mathvariant=\"normal\">LSCF<\/mml:mi>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Coverage of oxygen molecules on LSCF<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>\u03b8<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>s<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi>L<\/mml:mi>\n                                          <mml:mi>S<\/mml:mi>\n                                          <mml:mi>C<\/mml:mi>\n                                          <mml:mi>F<\/mml:mi>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Free sites on the LSCF surface<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>\u03b8<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:msup>\n                                        <mml:mrow>\n                                          <mml:mi>O<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mo>\u2212<\/mml:mo>\n                                      <\/mml:msup>\n                                      <mml:mo>\u2212<\/mml:mo>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>s<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi>L<\/mml:mi>\n                                          <mml:mi>S<\/mml:mi>\n                                          <mml:mi>C<\/mml:mi>\n                                          <mml:mi>F<\/mml:mi>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>e<\/mml:mi>\n                                      <mml:mi>q<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Coverage rate of oxygen ions on LSCF at equilibrium<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>\u03b8<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>O<\/mml:mi>\n                                      <mml:mo>\u2212<\/mml:mo>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>s<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi>L<\/mml:mi>\n                                          <mml:mi>S<\/mml:mi>\n                                          <mml:mi>C<\/mml:mi>\n                                          <mml:mi>F<\/mml:mi>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>e<\/mml:mi>\n                                      <mml:mi>q<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Coverage rate of oxygen atoms on LSCF at equilibrium<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>\u03b8<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>O<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mn>2<\/mml:mn>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                      <mml:mo>\u2212<\/mml:mo>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>s<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi>L<\/mml:mi>\n                                          <mml:mi>S<\/mml:mi>\n                                          <mml:mi>C<\/mml:mi>\n                                          <mml:mi>F<\/mml:mi>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>e<\/mml:mi>\n                                      <mml:mi>q<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Coverage rate of oxygen molecules on LSCF at equilibrium<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>\u03b8<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:msub>\n                                        <mml:mrow>\n                                          <mml:mi>s<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi>L<\/mml:mi>\n                                          <mml:mi>S<\/mml:mi>\n                                          <mml:mi>C<\/mml:mi>\n                                          <mml:mi>F<\/mml:mi>\n                                        <\/mml:mrow>\n                                      <\/mml:msub>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>e<\/mml:mi>\n                                      <mml:mi>q<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Free site on LSCF at equilibrium<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>\u03bd<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mfenced close=\")\" open=\"(\" separators=\"\">\n                                        <mml:mrow>\n                                          <mml:mi>i<\/mml:mi>\n                                        <\/mml:mrow>\n                                      <\/mml:mfenced>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              Kinetic rate of chemical\/electrochemical reaction (i) in the electrode\n                              <jats:sup>(*)<\/jats:sup>\n                              or at the electrolyte interface\n                              <jats:sup>(**)<\/jats:sup>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:sup>(*)<\/jats:sup>\n                              (mol m\n                              <jats:sup>\u22123<\/jats:sup>\n                              s\n                              <jats:sup>\u22121<\/jats:sup>\n                              ) or\n                              <jats:sup>(**)<\/jats:sup>\n                              (mol m\n                              <jats:sup>\u22122<\/jats:sup>\n                              s\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mover accent=\"true\">\n                                        <mml:mi>\u03bc<\/mml:mi>\n                                        <mml:mo>\u02dc<\/mml:mo>\n                                      <\/mml:mover>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>i<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Electrochemical potential<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (J mol\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>\u03be<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi mathvariant=\"normal\">TPBls<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              Density of triple phase boundary lengths for the LSCF\n                              <jats:sup>(*)<\/jats:sup>\n                              or LSCF-CGO\n                              <jats:sup>(**)<\/jats:sup>\n                              electrode\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:sup>(*)<\/jats:sup>\n                              (m\n                              <jats:sup>\u22121<\/jats:sup>\n                              ) or\n                              <jats:sup>(**)<\/jats:sup>\n                              (m\n                              <jats:sup>\u22122<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>\u03c3<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:msubsup>\n                                        <mml:mrow>\n                                          <mml:mi>h<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mi mathvariant=\"normal\">LSCF<\/mml:mi>\n                                        <\/mml:mrow>\n                                        <mml:mrow>\n                                          <mml:mo>\u00b7<\/mml:mo>\n                                        <\/mml:mrow>\n                                      <\/mml:msubsup>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Electronic conductivity of LSCF<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (S m\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msub>\n                                    <mml:mrow>\n                                      <mml:mi>\u03c3<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>io<\/mml:mi>\n                                      <mml:mo>,<\/mml:mo>\n                                      <mml:mspace width=\".25em\"\/>\n                                      <mml:mi>CGO<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msub>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Ionic conductivity of CGO<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (S m\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:inline-formula>\n                                <jats:tex-math>\n                                  \n                                <\/jats:tex-math>\n                                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                                  <mml:msubsup>\n                                    <mml:mrow>\n                                      <mml:mi>\u03c3<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>i<\/mml:mi>\n                                    <\/mml:mrow>\n                                    <mml:mrow>\n                                      <mml:mi>e<\/mml:mi>\n                                      <mml:mi>f<\/mml:mi>\n                                      <mml:mi>f<\/mml:mi>\n                                    <\/mml:mrow>\n                                  <\/mml:msubsup>\n                                <\/mml:math>\n                              <\/jats:inline-formula>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Effective conductivity for th i-th species<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              (S m\n                              <jats:sup>\u22121<\/jats:sup>\n                              )\n                            <\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:italic>\u03c6<\/jats:italic>\n                              <jats:sub>\n                                <jats:italic>i<\/jats:italic>\n                              <\/jats:sub>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Potential<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(V)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:italic>\u03c7<\/jats:italic>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Surface electrostatic potential<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(V)<\/jats:td>\n                          <\/jats:tr>\n                          <jats:tr>\n                            <jats:td colspan=\"1\" rowspan=\"1\">\n                              <jats:italic>\u03c4<\/jats:italic>\n                              <jats:sub>\n                                <jats:italic>X<\/jats:italic>\n                              <\/jats:sub>\n                            <\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">Tortuosity factor for the phase X<\/jats:td>\n                            <jats:td colspan=\"1\" rowspan=\"1\">(\u2013)<\/jats:td>\n                          <\/jats:tr>\n                        <\/jats:tbody>\n                      <\/jats:table>\n                    <\/jats:table-wrap>\n                  <\/jats:p>","DOI":"10.1149\/1945-7111\/abf40a","type":"journal-article","created":{"date-parts":[[2021,3,31]],"date-time":"2021-03-31T18:31:52Z","timestamp":1617215512000},"page":"044520","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":42,"title":["An Elementary Kinetic Model for the LSCF and LSCF-CGO Electrodes of Solid Oxide Cells: Impact of Operating Conditions and Degradation on the Electrode Response"],"prefix":"10.1149","volume":"168","author":[{"given":"E.","family":"Effori","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9808-2897","authenticated-orcid":false,"given":"J.","family":"Laurencin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"E. Da Rosa","family":"Silva","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M.","family":"Hubert","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"T.","family":"David","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M.","family":"Petitjean","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"G.","family":"Geneste","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"L.","family":"Dessemond","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"E.","family":"Siebert","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"77","published-online":{"date-parts":[[2021,4,19]]},"reference":[{"key":"jesabf40abib1","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1016\/S0378-7753(00)00564-4","type":"journal-article","article-title":"Advantages of intermediate temperature solid oxide fuel cells for tractionary applications","volume":"93","author":"Zhu","year":"2001","journal-title":"J. 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