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Fractal growth of copper powder on point and plate electrodes based on diffusion-limited aggregation model

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Abstract

When examining fractal growth issues in electrodeposited metals, analytical and control models for growth based on diffusion-limited aggregation (DLA) are frequently used. In this work, an improved DLA model was used to design a simulation program for the growth of copper dendrites deposited on point and plate electrodes. The effect of copper ion concentration on the fractal growth of copper powder dendrites was investigated. It was found that the morphology of the simulated particles in point electrodes changed from a disordered dense structure to an open dendritic structure, and the fractal dimension decreased as the binding probability increased. While in the plate electrode, the morphology changed from dense to loose, the void between the dendrite arms expanded, and the thickness of the deposited layer increased. The morphology of copper powder dendrites matched the real electrodeposition. The shape of the deposited copper was strongly influenced by the concentration of copper ions.

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References

  1. An J, Xie G, Xia W et al (2021) Preparation of fine copper powders by galvanostatic regime of electrolysis of copper scrap in a cylindrical electrochemical cell [J]. Powder Technology 386:193–198

    Article  CAS  Google Scholar 

  2. An J, Xie G, Xia W et al (2022) Study on reduction of partially oxidized cauliflower-like copper powder by hydrogen [J]. Metals 12(3):413

  3. Wang H, Wang Q, Xia W et al (2019) Effect of jet flow between electrodes on power consumption and the apparent density of electrolytic copper powders [J]. Powder Technol 343:607–612

  4. Ďurišinová A (1991) Factors influencing quality of electrolytic copper powder [J]. Powder Metall 34(2):139–41

    Article  Google Scholar 

  5. Boz M, Hasheminiasari M (2013) The effect of process parameters on copper powder particle size and shape produced by electrolysis method [J]. Steel Compos Struct 15(2):151–162

  6. Ibl N (1961) Probleme des konvektiven stofftransports bei der elektrolyse[J]. Chem Ing Tec 33(2):69–74

    Article  CAS  Google Scholar 

  7. Mandelbrot BB (1977) The fractal geometry of nature[M]. w. The Freeman, New York

  8. Kaandorp JA (1994) Fractal modelling: growth and form in biology. Springer, New York

    Book  Google Scholar 

  9. Zakde K, Munde SV, Shaikh YH (2014) Self-similarity and fractal character in leaves [J]. J Chem Biol Phys Sci 4(3):3587–3592

  10. Witten TA, Sander LM (1981) Diffusion-limited aggregation, a kinetic critical phenomenon [J]. Phys Rev Lett 47(19):1400–1403

    Article  CAS  Google Scholar 

  11. Sagués F, López-tomàs L, Mach J et al (1994) Disordered grown systems: generation and fractal analysis. Electrodeposition[J]. Int J Quantum Chem 52(2):375–94

    Article  Google Scholar 

  12. Wang K, Chen et al (2015) Dendrite growth in the recharging process of zinc-air batteries [J]. J Mater Chem A Mater Energy Sustain 3(45):22648–22655

  13. Santos NM, Santos DMF (2018) A fractal dimension minimum in electrodeposited copper dendritic patterns [J]. Chaos, Solitons Fractals 116:381–385

    Article  Google Scholar 

  14. Ghosh A, Batabyal R, Das GP et al (2016) An extended fractal growth regime in the diffusion limited aggregation including edge diffusion [J]. AIP Adv 6(1):15301

    Article  Google Scholar 

  15. Masood S, Perveen R, Ashfaq M (2012) Copper fractal growth pattern in polymer systems [J]. Int J Chem 4(6):15–21

  16. Fleury V, Chazalviel JN, Rosso M et al (1990) The role of the anions in the growth speed of fractal electrodeposits [J]. J Electroanal Chem 290(1–2):249–255

    Article  CAS  Google Scholar 

  17. Sander LM (2012) Fractal growth processes. In: Mathematics of complexity and dynamical systems [J]. Springer, New York, pp 429–45

  18. Trigueros PP, Claret J, Mas F et al (1991) Pattern morphologies in zinc electrodeposition [J]. J Electroanal Chem Interfacial Electrochem 312(1–2):219–35

    Article  CAS  Google Scholar 

  19. Kuhn A, Argoul F (1994) Revisited experimental analysis of morphological changes in thin-layer electrodeposition [J]. J Electroanal Chem 371(1–2):93–100

  20. General Administration of Quality Supervision (2014) Inspection and Quarantine of the People’s Republic of China; Standardization Administration of the P.R.C. GB/T 31057.1—2014 Granular materials—The physical properties—Part 1: Determination of apparent density; Standards Press of China: Beijing, China

  21. Moat M, Khouraibchia Y (2009) Effective diffusivity of ferric ions and current efficiency in stagnant synthetic copper electrowinning solutions [J]. Soc Min Metall Explor Inc Trans 26(4):179–186

    Google Scholar 

  22. Shaikh YH, Khan AR, Pathan JM et al (2009) Fractal pattern growth simulation in electrodeposition and study of the shifting of center of mass [J]. Chaos, Solitons Fractals 42(5):2796–2803

    Article  CAS  Google Scholar 

  23. Zong-Jun T, Gui-Feng W, Yin-Hui H et al (2009) Numerical simulation of Ni dendrite fractal growth in jet-electrodeposition [J]. Mater Mech Eng 33(9):41–43

    Google Scholar 

  24. Li-Feng D, Pei-Yuan M, Jun C et al (2018) Simulation of fractal growth on metal wire electrode [J]. J Electrochem 24(3):285–291

  25. Gang X, Zheng Z, Shurong C (2003) The computer simulation of two-dimension dendritic growth on metal electrodepositing process which use point electrode as cathode [J]. Sci Technol Eng 4:343–346

    Google Scholar 

  26. Nikolic ND, Pavlovic LJ, Pavlovic MG (2008) Morphologies of electrochemically formed copper powder particles and their dependence on the quantity of evolved hydrogen[J]. Powder Technol 185(3):195–201

    Article  CAS  Google Scholar 

  27. Nikolic ND, Brankovic G, Pavlovic MG et al (2008) The effect of hydrogen co-deposition on the morphology of copper electrodeposits. II. Correlation between the properties of electrolytic solutions and the quantity of evolved hydrogen [J]. J Electroanal Chem 621(1):13–21

    Article  CAS  Google Scholar 

  28. Nikolic ND, Popov KI, Pavlovic LJ et al (2007) Determination of critical conditions for the formation of electrodeposited copper structures suitable for electrodes in electrochemical devices [J]. Sensors 7(1):1–15

    Article  CAS  PubMed Central  Google Scholar 

  29. Na W, Chunxia Z, Shanyu H et al (2023) Effect of electrolysis parameters on the fractal structure of electrodeposited copper [J]. Electrochem Sci Technol 14(2):194–204

    Article  Google Scholar 

  30. Zongjun T, Guifeng W, Yinhui H et al (2008) Dendrite growth in electrodeposition at various concentration of electrolyte [J]. Mech Sci Technol Aerosp Eng 27(11):1266–1270

    Google Scholar 

  31. Orhan GK, Hap G (2010) Effect of electrolysis parameters on the morphologies of copper powder obtained in a rotating cylinder electrode cell [J]. Powder Technol 201(1):57–63

    Article  CAS  Google Scholar 

  32. Pavlovic MG, Pavlovic LJ, Ivanovic ER (2001) The effect of particle structure on apparent density of electrolytic copper powder [J]. J Serb Chem Soc 66(11/12):923–933

    Article  CAS  Google Scholar 

  33. Owais A (2009) Effect of electrolyte characteristics on electrowinning of copper powder [J]. J Appl Electrochem 39(9):1587

    Article  CAS  Google Scholar 

Download references

Funding

This work was supported by the National Natural Science Foundation of China (Grant No. 52174331), Natural Science Foundation of Chongqing (Grant No. CSTB2023NSCQ-MSX0352), Scientific and Technological Research Program of Chongqing Municipal Education Commission (Grant No. KJQN202201529), Chongqing Doctoral “Through Train” Research Project (Grant No. CSTB2022BSXM − JCX0137), Natural Science Foundation of Chongqing (Grant No. cstc2021jcyj-msxmX0150), Natural Science Foundation of Chongqing (Grant No. cstc2021jcyj-msxmX0743), and the Master’s Degree Innovation Program Project of Chongqing University of Science and Technology (Grant No. YKJCX2220211).

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Authors and Affiliations

  1. School of Metallurgical and Materials Engineering, Chongqing University of Science and Technology, No. 20 East Road University Town, Shapingba District, Chongqing, 401331, China

    Mei Yang, Wentang Xia, Juan An, Wenqiang Yang & Hongdan Wang

  2. Southwest Pharmaceutical Co.Ltd., Chongqing, 400038, China

    Na Wu

Authors
  1. Mei Yang
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  2. Wentang Xia
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  3. Juan An
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  4. Na Wu
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  5. Wenqiang Yang
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  6. Hongdan Wang
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Contributions

M.Y devised experimental research methods and wrote the main manuscript texts. N.W prepared Figures 4-7. J.A revised the manuscript. W.X guarantees the completeness and accuracy of the research. W.Y and H.W were responsible for directing the experiment

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Correspondence to Wentang Xia or Juan An.

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Yang, M., Xia, W., An, J. et al. Fractal growth of copper powder on point and plate electrodes based on diffusion-limited aggregation model. Ionics (2024). https://doi.org/10.1007/s11581-024-05554-w

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