Simulation of Anodic Current and Optimization of the Fitting Equation and the Fitting Algorithm during Constant Voltage Anodization
To investigate the formation mechanism of anodization and to clarify the relationship between the reaction process and the actual structure, we fitted the current density–time curve based on MATLAB. A time-varying function C(t) is introduced to optimize the total current fitting equation used to des...
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| Veröffentlicht in: | Journal of physical chemistry. C 2023-05, Vol.127 (20), p.9707-9716 |
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| container_issue | 20 |
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| container_title | Journal of physical chemistry. C |
| container_volume | 127 |
| creator | Li, Chengyuan Luo, Kun Yan, Bowen Sun, Weimin Jiang, Longfei Li, Pengze Zhang, Yu Wang, Shiyi Yu, Yuantian Zhu, Xufei Song, Ye |
| description | To investigate the formation mechanism of anodization and to clarify the relationship between the reaction process and the actual structure, we fitted the current density–time curve based on MATLAB. A time-varying function C(t) is introduced to optimize the total current fitting equation used to describe the constant voltage anodization process, which makes the equation more in line with the real reaction process based on the kinetic model of ionic and electronic current. Besides, a new fitting algorithm is developed based on the trust region method, which can effectively improve the fitting effect through iteration. In our work, the initial values of the parameters in the equation were calculated, and finally, the fitting degree of the constant voltage anodization under 40, 50, and 60 V was improved to 0.9842, 0.9693, and 0.9305, respectively. According to the new equation, the fitting degree of the total amount of charge transferred by ions during the reaction and the volume of oxides according to a proportional function can reach 0.9972. |
| doi_str_mv | 10.1021/acs.jpcc.3c01612 |
| format | Article |
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A time-varying function C(t) is introduced to optimize the total current fitting equation used to describe the constant voltage anodization process, which makes the equation more in line with the real reaction process based on the kinetic model of ionic and electronic current. Besides, a new fitting algorithm is developed based on the trust region method, which can effectively improve the fitting effect through iteration. In our work, the initial values of the parameters in the equation were calculated, and finally, the fitting degree of the constant voltage anodization under 40, 50, and 60 V was improved to 0.9842, 0.9693, and 0.9305, respectively. According to the new equation, the fitting degree of the total amount of charge transferred by ions during the reaction and the volume of oxides according to a proportional function can reach 0.9972.</description><identifier>ISSN: 1932-7447</identifier><identifier>EISSN: 1932-7455</identifier><identifier>DOI: 10.1021/acs.jpcc.3c01612</identifier><language>eng</language><publisher>American Chemical Society</publisher><subject>C: Spectroscopy and Dynamics of Nano, Hybrid, and Low-Dimensional Materials</subject><ispartof>Journal of physical chemistry. 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C</title><addtitle>J. Phys. Chem. C</addtitle><description>To investigate the formation mechanism of anodization and to clarify the relationship between the reaction process and the actual structure, we fitted the current density–time curve based on MATLAB. A time-varying function C(t) is introduced to optimize the total current fitting equation used to describe the constant voltage anodization process, which makes the equation more in line with the real reaction process based on the kinetic model of ionic and electronic current. Besides, a new fitting algorithm is developed based on the trust region method, which can effectively improve the fitting effect through iteration. In our work, the initial values of the parameters in the equation were calculated, and finally, the fitting degree of the constant voltage anodization under 40, 50, and 60 V was improved to 0.9842, 0.9693, and 0.9305, respectively. According to the new equation, the fitting degree of the total amount of charge transferred by ions during the reaction and the volume of oxides according to a proportional function can reach 0.9972.</description><subject>C: Spectroscopy and Dynamics of Nano, Hybrid, and Low-Dimensional Materials</subject><issn>1932-7447</issn><issn>1932-7455</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp1UMlOwzAQtRBIlMKdoz-AlLHjbMcqKotUqQeWa-R4aV0lcbGdA1z5cRJSVVw4zehtM3oI3RJYEKDkngu_2B-EWMQCSEroGZqRIqZRxpLk_LSz7BJdeb8HSGIg8Qx9v5i2b3gwtsNW42VnpRG47J1TXcC8k3hzCKY1XydJ2Cn8YEIw3RavPvoJH4V_iWWztc6EXYtl70agtJ0PfIh8t03gWzVdmlKv0YXmjVc3xzlHbw-r1_IpWm8en8vlOuI0hxCpmjKZFbrQmWRcyYxJUuSSFXVOMk5qKDjULAeoSSzyhLJUc52mguZSgBI8niOYcoWz3julq4MzLXefFYFqLLEaSqzGEqtjiYPlbrL8MrZ33fDg__Ifpqd5Dg</recordid><startdate>20230525</startdate><enddate>20230525</enddate><creator>Li, Chengyuan</creator><creator>Luo, Kun</creator><creator>Yan, Bowen</creator><creator>Sun, Weimin</creator><creator>Jiang, Longfei</creator><creator>Li, Pengze</creator><creator>Zhang, Yu</creator><creator>Wang, Shiyi</creator><creator>Yu, Yuantian</creator><creator>Zhu, Xufei</creator><creator>Song, Ye</creator><general>American Chemical Society</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-5836-0469</orcidid><orcidid>https://orcid.org/0000-0003-3921-5941</orcidid></search><sort><creationdate>20230525</creationdate><title>Simulation of Anodic Current and Optimization of the Fitting Equation and the Fitting Algorithm during Constant Voltage Anodization</title><author>Li, Chengyuan ; Luo, Kun ; Yan, Bowen ; Sun, Weimin ; Jiang, Longfei ; Li, Pengze ; Zhang, Yu ; Wang, Shiyi ; Yu, Yuantian ; Zhu, Xufei ; Song, Ye</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a280t-eb24d79f9f7d4aed74d198d49b817a1b09a0b4800b13c85246faf66c28dc0eca3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>C: Spectroscopy and Dynamics of Nano, Hybrid, and Low-Dimensional Materials</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Li, Chengyuan</creatorcontrib><creatorcontrib>Luo, Kun</creatorcontrib><creatorcontrib>Yan, Bowen</creatorcontrib><creatorcontrib>Sun, Weimin</creatorcontrib><creatorcontrib>Jiang, Longfei</creatorcontrib><creatorcontrib>Li, Pengze</creatorcontrib><creatorcontrib>Zhang, Yu</creatorcontrib><creatorcontrib>Wang, Shiyi</creatorcontrib><creatorcontrib>Yu, Yuantian</creatorcontrib><creatorcontrib>Zhu, Xufei</creatorcontrib><creatorcontrib>Song, Ye</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of physical chemistry. C</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Li, Chengyuan</au><au>Luo, Kun</au><au>Yan, Bowen</au><au>Sun, Weimin</au><au>Jiang, Longfei</au><au>Li, Pengze</au><au>Zhang, Yu</au><au>Wang, Shiyi</au><au>Yu, Yuantian</au><au>Zhu, Xufei</au><au>Song, Ye</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Simulation of Anodic Current and Optimization of the Fitting Equation and the Fitting Algorithm during Constant Voltage Anodization</atitle><jtitle>Journal of physical chemistry. C</jtitle><addtitle>J. Phys. Chem. C</addtitle><date>2023-05-25</date><risdate>2023</risdate><volume>127</volume><issue>20</issue><spage>9707</spage><epage>9716</epage><pages>9707-9716</pages><issn>1932-7447</issn><eissn>1932-7455</eissn><abstract>To investigate the formation mechanism of anodization and to clarify the relationship between the reaction process and the actual structure, we fitted the current density–time curve based on MATLAB. A time-varying function C(t) is introduced to optimize the total current fitting equation used to describe the constant voltage anodization process, which makes the equation more in line with the real reaction process based on the kinetic model of ionic and electronic current. Besides, a new fitting algorithm is developed based on the trust region method, which can effectively improve the fitting effect through iteration. In our work, the initial values of the parameters in the equation were calculated, and finally, the fitting degree of the constant voltage anodization under 40, 50, and 60 V was improved to 0.9842, 0.9693, and 0.9305, respectively. According to the new equation, the fitting degree of the total amount of charge transferred by ions during the reaction and the volume of oxides according to a proportional function can reach 0.9972.</abstract><pub>American Chemical Society</pub><doi>10.1021/acs.jpcc.3c01612</doi><tpages>10</tpages><orcidid>https://orcid.org/0000-0002-5836-0469</orcidid><orcidid>https://orcid.org/0000-0003-3921-5941</orcidid></addata></record> |
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| source | ACS Publications |
| subjects | C: Spectroscopy and Dynamics of Nano, Hybrid, and Low-Dimensional Materials |
| title | Simulation of Anodic Current and Optimization of the Fitting Equation and the Fitting Algorithm during Constant Voltage Anodization |
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