{"title":"Theoretical and Experimental Study of Copper Electrodeposition in a Modified Hull Cell","authors":"Srinivas Palli, S. Dey","doi":"10.1155/2016/3482406","DOIUrl":null,"url":null,"abstract":"The primary current distribution and the resistance of a modified Hull cell are calculated by using conformal mapping technique coupled with numerical evaluation of the resulting integral equations. An approximate analytical expression for the primary current distribution of a modified Hull cell is presented. The primary current distribution along the cathode surface is noticed varying in controlled manner as a function of position on the substrate. The current distributions (primary, secondary, and tertiary) in the cell have also been calculated at different applied average current densities (2, 4.1, and 8.2 mA cm−2) through numerical simulation by using finite element based software. The numerical simulation result of the primary current distribution is then compared with the analytical solution and a good match is found. Experimentally, single Cu metal electrodeposition is carried out at different applied average current densities (2, 4.1, and 8.2 mA cm−2) in a modified Hull. The current distribution (primary, secondary, and tertiary) results obtained from the numerical simulation are compared with the experimental results and a satisfactory match is found. Surface morphology of the Cu deposits is examined using scanning electron microscopy (SEM).","PeriodicalId":13933,"journal":{"name":"International journal of electrochemistry","volume":"2016 1","pages":"1-14"},"PeriodicalIF":2.3000,"publicationDate":"2016-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2016/3482406","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of electrochemistry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2016/3482406","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ELECTROCHEMISTRY","Score":null,"Total":0}
引用次数: 8
Abstract
The primary current distribution and the resistance of a modified Hull cell are calculated by using conformal mapping technique coupled with numerical evaluation of the resulting integral equations. An approximate analytical expression for the primary current distribution of a modified Hull cell is presented. The primary current distribution along the cathode surface is noticed varying in controlled manner as a function of position on the substrate. The current distributions (primary, secondary, and tertiary) in the cell have also been calculated at different applied average current densities (2, 4.1, and 8.2 mA cm−2) through numerical simulation by using finite element based software. The numerical simulation result of the primary current distribution is then compared with the analytical solution and a good match is found. Experimentally, single Cu metal electrodeposition is carried out at different applied average current densities (2, 4.1, and 8.2 mA cm−2) in a modified Hull. The current distribution (primary, secondary, and tertiary) results obtained from the numerical simulation are compared with the experimental results and a satisfactory match is found. Surface morphology of the Cu deposits is examined using scanning electron microscopy (SEM).
采用保角映射技术,结合积分方程的数值计算,计算了改进的赫尔电池的一次电流分布和电阻。给出了改进后的赫尔电池一次电流分布的近似解析表达式。沿阴极表面的一次电流分布作为衬底上位置的函数以受控方式变化。在不同的平均电流密度(2、4.1和8.2 mA cm−2)下,通过基于有限元的软件进行数值模拟,计算了电池中的电流分布(一次、二次和三次)。将一次电流分布的数值模拟结果与解析解进行了比较,发现两者吻合较好。实验中,在不同的施加平均电流密度(2、4.1和8.2 mA cm−2)下,在改进的壳体中进行了单铜金属电沉积。将数值模拟得到的一次、二次、三次电流分布结果与实验结果进行了比较,结果吻合较好。利用扫描电子显微镜(SEM)研究了铜镀层的表面形貌。