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研究生: Mai Phuoc Trai
MAI PHUOC TRAI
論文名稱: 電致動力輔助化學機械拋光製程中 有效粒子之動能研究
Study on Kinetic Energy of Effective Particle for EKF-CMP Process
指導教授: 陳炤彰
Chao-Chang A. Chen
呂立鑫
Li-Shin Lu
口試委員: 楊宏智
Hong-Tsu Young
徐文祥
Wen-Syang Hsu
趙崇禮
Chong-li Zhao
劉顯光
Hsien-Kuang Liu
呂立鑫
Li-Shin Lu
田維欣
Wei-Hsin Tien
陳炤彰
Chao-Chang A. Chen
學位類別: 博士
Doctor
系所名稱: 工程學院 - 機械工程系
Department of Mechanical Engineering
論文出版年: 2022
畢業學年度: 110
語文別: 英文
論文頁數: 193
中文關鍵詞: 電致動力輔助化學機械拋光有效粒子分析粒子動能材料移除率表面粗糙度非均勻度
外文關鍵詞: EKF-CMP, Effective particle analysis, Particle kinetic energy, Material removal rate, Surface roughness, Non-uniformity.
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  • 在半導體積體電路製程中,局部拋光液膜中奈米粒子磨粒之動能在化學機械拋光過程中扮演重要角色。本研究使用電致動力技術 (Electro-Kinetic Force, EKF)配合高精密拋光機,利用電雙層理論所產生之電滲流 (Electro-Osmosis Flow, EOF)效應來提升磨粒的拋光效能。本研究以COMSOL Multi-physics® 商用模擬軟體建立三維模型,模擬磨粒在EOF的驅使下,在有/無溝槽的聚氨酯拋光墊上的運動軌跡。藉由粒子圖像測速法 (Particle Image Velocimetry, PIV),測得實驗中粒子的速度場,並與各種模擬條件下的EOF模擬結果進行比較。當電極的電壓上升,有助於提升有效磨粒的總數;但隨電極間距以及拋光墊厚度的增加,則會使有效磨粒的總數下降。模擬結果顯示,粒子動能(Particle Kinetic Energy, PKE) 的大小,在接近晶圓表面的磨粒由於交互作用的緣故,PKE被消耗而顯得較低;反之PKE則較高。由磨粒的平移動能(Translational Kinetic Energy, TKE) 以及轉動動能 (Rotational Kinetic Energy, RKE) 的結果得知,磨粒的平移速度大於自旋(角)速度,因此TKE顯得比RKE數值來得大。另外,由於局部拋光液中的磨粒Zeta電位分布不均,使得每一層拋光液及溝槽內的磨粒之TKE及RKE皆不均勻。接觸於晶圓表面的磨粒總動能,會隨著施加的相對速度以及電壓的升高而增強,並在電極間隙為 2 mm時達最佳值。最後,電致動力輔助化學機械拋光 (EKF-CMP) 與製程參數最佳化後,在銅膜晶圓及玻璃基板的拋光研究中,材料移除率、非均勻性及表面粗糙度上都得到顯著性提升。本研究結果能有效地推廣至現今半導體製造產業,並對未來EKF-CMP製程技術的改進和優化做出貢獻。


    Abrasive particle kinetic energy in local slurry film of chemical-mechanical planarization (CMP) process plays a significant role in polishing integrated circuits (IC) in semiconductor manufacturing. In this dissertation, electro-kinetic force (EKF) technique has been applied for high-precision polishing tool by electro-osmosis flow (EOF) phenomena as theoretical electric double layer for improving the polishing performance. A novel three-dimensional (3D) model of EOF for both non-groove and groove geometry of polyurethane pad has been developed for simulating the particle-slurry motion by COMSOL Multi-physics® software. EOF magnitude under various simulation conditions have been compared with both experimental and theoretical results by velocity fields of particle image velocimetry technique. Total number of effective particles intensifies significantly with increasing electrode voltage, but decreases in both cases as raising electrode gap and larger pad thickness. Analysis results for particle kinetic energy (PKE) have indicated that the PKE value at the top layer is smaller compared to that at the bottom layer due to dissipating PKE in the interactions between abrasive nanoparticles and wafer surface. Results of translational and rotational kinetic energy (TKE & RKE) of abrasive particle have shown that RKE value of particle is smaller than TKE because translational velocity’s particle is larger than its angular velocity in inertial motion. Both TKE and RKE of particles in each layer of local slurry film and groove is non-uniformity due to the zeta potential distribution in the local slurry is non-uniformity. Total kinetic energy of abrasive particle contacting wafer surface increases as raising of applied relative velocity and voltage, and achieves optimal value at electrode gap of 2 mm. Finally, optimal polishing performance for Cu blanket wafer and glass substrates of EKF-CMP improves significantly for material removal rate, non-uniformity, surface roughness. Results of this study can be effectively extended to contribute to the improvement and optimization of EKF-CMP process for semiconductor industry.

    摘要 Abstract Acknowledgement Table of Contents List of Figures List of Tables Nomenclature Chapter 1 INTRODUCTION 1.1 CMP background 1.2 Motivation 1.3 Objective 1.4 Dissertation contribution and scope 1.5 Dissertation outline Chapter 2 LITERATURE REVIEW 2.1 Previous studies of EKF-CMP in PML 2.2 CMP components 2.2.1 Pad parameter 2.2.2 The role of diamond dressing on pad asperity or roughness 2.2.3 Wafer parameter 2.2.4 Particle-slurry parameter 2.2.5 The role of slurry flow on passivated surface layer 2.3 Overview slurry flow 2.3.1 Analysis on mechanics for contact area 2.3.2 Analysis on lubrication region 2.3.3 Analysis on hydrodynamic flow pressure 2.3.4 Analysis on slurry flow velocity 2.3.5 Lubrication model in CMP 2.4 CMP performance 2.4.1 Preston equation 2.4.2 Parameters affecting MRR 2.5 Summary of literature review Chapter 3 EKF-CMP THEORY AND MODEL 3.1 EKF theory 3.1.1 Electro-kinetic force (EKF) 3.1.2 Electric double layer (EDL) 3.1.3 Zeta potential 3.1.4 Electro-osmosis flow (EOF) 3.2.5 EKF-CMP definition 3.2 Physical module in COMSOL applying 3D-EOF model 3.2.1 Electric current module 3.3.2 Laminar flow module 3.3.3 Particle tracing module 3.3 Development of 3D-EOF model 3.3.1 Definition of effective particle 3.2.2 Model of 3D-EOF in COMSOL 3.2.3 Assumption of 3D-EOF model 3.4 Result and discussion 3.4.1 EOF verification between theory and simulation 3.4.2 Analysis on effective particle 3.5 Summary of Chapter 3 Chapter 4 PARTICLE KINETIC ENERGY FOR EKF-CMP 4.1 Role of particle kinetic energy 4.2 Research method 4.2.1 3D-EOF simulation model development 4.2.2 Assumptions of 3D-EOF simulation model 4.2.3 Definition of particle kinetic energy 4.2.4 3D-EOF model for PIV test 4.3 Result and discussion 4.3.1 PIV results of 3D-EOF for IC-1000 pad 4.3.2 Investigation of particle kinetic energy 4.4 Summary of Chapter 4 Chapter 5 TRANSLATIONAL-ROTATIONAL KINETIC ENERGY OF PARTICLE IN EKF-CMP 5.1 Statement of translational-rotational kinetic energy of particle in EKF-CMP .2 Material and method 5.2.1 Physical mechanism of EKF-CMP 5.2.2 3D model development for EKF-CMP 5.2.3 Assumption of novel 3D model for EKF-CMP 5.2.4 Mathematical equation of TKE & RKE of particle 5.3 Result and discussion 5.3.1 Analysis on PIV result of 3D-EOF for IC-1400 pad 5.3.2 Analysis on results of relative velocity 5.3.3 Analysis on translational-rotational kinetic energy of particle 5.4 Summary of Chapter 5 Chapter 6 EKF-CMP EXPERIMENT 6.1 EKF-CMP experiment system 6.2 Result and discussion 6.2.1 Discussion on EKF-CMP efficiency for Cu blanket wafer at 1.5 psi 6.2.2 Discussion on EKF-CMP efficiency for Cu blanket wafer at 2.5 psi 6.2.3 Discussion on EKF-CMP performance for glass wafer 6.5 Summary of Chapter 6 Chapter 7 CONCLUSION AND RECOMENDATION 7.1 Conclusion 7.2 Recommendation Reference Appendix A Matlab program of effective particle analysis Appendix B Matlab program of particle kinetic energy Appendix C Matlab program of translational and rotational kinetic energy’s particle Appendix D Results of particle tracing in 3D model without groove in COMSOL Appendix E Results of particle tracing in 3D model with x-y groove in COMSOL Appendix F Results of particle tracing in 3D model with concentric circle groove in COMSOL Appendix G Results of Cu surface roughness after CMP and EKF CMP at 1.5 psi Appendix H Results of Cu surface roughness after CMP and EKF CMP at 2.5 psi Appendix I Results of Glass surface roughness after CMP and EKF CMP at 3.5 psi Appendix J Measuring and experimental equipment in PML Biography of Author

    1. H. Lee, H. Kim and H. Jeong, Approaches to Sustainability in Chemical Mechanical Polishing (CMP): A Review, International Journal of Precision Engineering and Manufacturing-Green Technology: P. 1-19, 2021.
    2. Q. Xu, L. Chen and H. Cao, A Wafer-Scale Material Removal Rate Model for Chemical Mechanical Planarization, ECS Journal of Solid State Science and Technology, 8(12): P. 821-832, 2019.
    3. G. Zhao, Z. Wei, W. Wang, et al., Review on modeling and application of chemical mechanical polishing, Nanotechnology Reviews, 9(1): P. 182-189, 2020.
    4. H. Lee, D. Lee and H. Jeong, Mechanical aspects of the chemical mechanical polishing process: A review, International Journal of Precision Engineering and Manufacturing, 17(4): P. 525-536, 2016.
    5. D. Zhao and X. Lu, Chemical mechanical polishing: Theory and experiment, Friction, 1(4): P. 306-326, 2013.
    6. H. Tu, 450 mm Silicon Wafers Are Imperative for Moore's Law but may be Postponed, Engineering, 1(2): P. 162-163, 2015.
    7. S.K. Moore. A better way to measure progress in semiconductors, in in IEEE International Roadmap for Devices and Systems, 2020.
    8. J. Lin, H. Jee, J. Yoo, et al., Surface Passivation of Crystalline Silicon Wafer Using H2S Gas, Applied Sciences, 11(8): P. 1-7, 2021.
    9. Z. Zhang, J. Liu, W. Hu, et al., Chemical mechanical polishing for sapphire wafers using a developed slurry, Journal of Manufacturing Processes, 62: P. 762-771, 2021.
    10. X. Yang, X. Yang, K. Kawai, et al., Novel SiC wafer manufacturing process employing three-step slurryless electrochemical mechanical polishing, Journal of Manufacturing Processes, 70: P. 350-360, 2021.
    11. R.K. Pal, H. Garg and V. Karar, Material removal characteristics of full aperture optical polishing process, Machining Science and Technology, 21(4): P. 493-525, 2017.
    12. Q. Xu, L. Chen, J. Liu, et al., A Material Removal Rate Model for Tungsten Chemical Mechanical Planarization, ECS Journal of Solid State Science and Technology, 8(6): P. 370-378, 2019.
    13. H.J. Kim, A. Lawyer, B. Egan, et al., Study on the Mechanism of Nano-Flake Defect during Tungsten Contact Chemical Mechanical Polishing, ECS Journal of Solid State Science and Technology, 7(4): P. 175-179, 2018.
    14. J. Huo, R. Solanki and J. McAndrew, Electrochemical Planarization of Patterned Copper Films for Microelectronic Applications, Journal of Materials Engineering and Performance, 13(4): P. 413-420, 2004.
    15. C.-H. Hsieh, Development of an Electrical Assisted Chemical Mechanical Polishing (EACMP) for Cu Film Planarization, Mechanical Engineering, National Taiwan University of Science and Technology: P. 1-192, 2011.
    16. L.-C. Yang, Development of an Electrical Kinetic-Force Assisted Chemical Mechanical Planarization (EKF-CMP) for Functional Wafer Planarization, Mechanical Engineering, National Taiwan University of Science and Technology: P. 1-164, 2014.
    17. M.-Y. Xue, Development of Modularized Conductive Plate in Electro-Kinetic Force Assisted Chemical Mechanical Planarization for Through-Silicon-Via Wafer Planarization, Mechanical Engineering, National Taiwan University of Science and Technology: P. 1-118, 2015.
    18. Y.-H. Tsai, Effect of Electro-Kinetic Force on Cu-Chemical Mechanical Polishing for Planarization Efficiency, Mechanical Engineering, National Taiwan University of Science and Technology: P. 1-129, 2015.
    19. S.-J. Ku, Development of an Electrical-Kinetic Force Assisted Chemical Mechanical Planarization for Through-Glass-Via Wafers, Mechanical Engineering, National Taiwan University of Science and Technology: P. 1-113, 2016.
    20. Y.-M. Lin, Development of Bidirectional Electrode in Electro-Kinetic Force Assisted Chemical Mechanical Planarization for Through-Silicon-Via Wafer Planarization, Mechanical Engineering, National Taiwan University of Science and Technology: P. 1-218, 2018.
    21. C. Jhong, Study on Electro-Kinetic Force Assisted Chemical Mechanical Planarization for Nanotwinned Copper/Polyimide Pattern Wafers, Mechanical Engineering, National Taiwan University of Science and Technology: P. 1-169, 2021.
    22. S. Hong, S. Bae, S. Choi, et al., A numerical study on slurry flow with CMP pad grooves, Microelectronic Engineering, 234: P. 1-6, 2020.
    23. C.-C.A. Chen and Q.-P. Pham, Study on diamond dressing for non-uniformity of pad surface topography in CMP process, The International Journal of Advanced Manufacturing Technology, 91(91): P. 3573-3582, 2017.
    24. H. Lua, B. Fookesa, Y. Obengb, et al., Quantitative analysis of physical and chemical changes in CMP polyurethane pad surfaces, Materials Characterization, 49: P. 35-44, 2002.
    25. P.-T. Mai, L.-S. Lu, C.-C.A. Chen, et al., Effective Particle Analysis on Wafer in the EKF-CMP System, ECS Journal of Solid State Science and Technology, 10(2): P. 024004, 2021.
    26. J. Gambino, Process Technology for Copper Interconnects, in Handbook of Thin Film Deposition. p. 147-194, 2018.
    27. Y.-G. Wang, Y. Chen and Y.-W. Zhao, Chemical mechanical planarization of silicon wafers at natural pH for green manufacturing, International Journal of Precision Engineering and Manufacturing, 16(9): P. 2049-2054, 2015.
    28. D. Lee, H. Lee and H. Jeong, The effects of a spray slurry nozzle on copper CMP for reduction in slurry consumption, Journal of Mechanical Science and Technology, 29(12): P. 5057-5062, 2015.
    29. V.-T. Nguyen and T.-H. Fang, Abrasive mechanisms and interfacial mechanics of amorphous silicon carbide thin films in chemical-mechanical planarization, Journal of Alloys and Compounds, 845: P. 1-25, 2020.
    30. Y.B. Tian, Z.W. Zhong, S.T. Lai, et al., Development of fixed abrasive chemical mechanical polishing process for glass disk substrates, The International Journal of Advanced Manufacturing Technology, 68: P. 993-1000, 2013.
    31. J.-G. Park, N.R. Paluvai and R.P. Venkatesh, Metal Surface Chemical Composition and Morphology, in Handbook of Silicon Wafer Cleaning Technology. p. 579-618, 2018.
    32. C. Qin, Z. Hu, A. Tang, et al., An efficient material removal rate prediction model for cemented carbide inserts chemical mechanical polishing, Wear, 452-453: P. 1-10, 2020.
    33. J.-C. Li, C.-C.A. Chen, P.-J. Ricky Shiu, et al., Analysis on Pad Surface Roughness of Diamond Conditioning Process for CMP, ECS Journal of Solid State Science and Technology, 10(4): P. 044009, 2021.
    34. Q.-P. Pham and C.-C.A. Chen, Study on pad cutting rate and surface roughness in diamond dressing process, International Journal of Precision Engineering and Manufacturing, 18(12): P. 1683-1691, 2017.
    35. H.-J. Möller, Wafer Processing, in Handbook of Crystal Growth. p. 715-755, 2015.
    36. T. Bearda, P.W. Mertens and S.P. Beaudoin, Overview of Wafer Contamination and Defectivity, Handbook of Silicon Wafer Cleaning Technology: P. 87-149, 2018.
    37. A. Jindala and S.V. Babu, Effect of pH on CMP of Copper and Tantalum, Journal of The Electrochemical Society, 151(10): P. 709-716, 2004.
    38. R. Ihnfeldt and J.B. Talbot, Effect of CMP Slurry Chemistry on Copper Nanohardness, Journal of The Electrochemical Society, 155(6): P. 412-420, 2008.
    39. J.F. Lin, J.D. Chern, Y.H. Chang, et al., Analysis of the Tribological Mechanisms Arising in the Chemical Mechanical Polishing of Copper-Film Wafers, Journal of Tribology, 126(1): P. 185-199, 2004.
    40. C.-C.A. Chen, H.-T. Young, C.-H. Chiou, et al., Study on CMP Process of Glass Wafers with SiO2 Based Slurry for Trench-Glass-Via Interposer, in 2016 China Semiconductor Technology International Conference (CSTIC), IEEE: P. 1-6, 2016.
    41. K.C. Cadien and L. Nolan, Chemical Mechanical Polishing Method and Practice, in Handbook of Thin Film Deposition. p. 317-357, 2018.
    42. Y. Mu, Y. Zhuang, Y. Sampurno, et al., Effect of pad groove width on slurry mean residence time and slurry utilization efficiency in CMP, Microelectronic Engineering, 157: P. 60-63, 2016.
    43. M. Sharma, C.-C.A. Chen and A. Gupta, Material Removal and Wear Behaviour of Copper Thin Film in Ambient Air and Wet Environment by Nanoindenter, ECS Journal of Solid State Science and Technology, 10(5): P. 054001, 2021.
    44. D. Bozkayaz and S. Müftüz, A Material Removal Model for CMP Based on the Contact Mechanics of Pad, Abrasives, and Wafer, Journal of The Electrochemical Society, 156(12): P. 890-902, 2009.
    45. C. Lee, J. Park, M. Kinoshita, et al., Analysis of pressure distribution and verification of pressure signal by changes load and velocity in chemical mechanical polishing, International Journal of Precision Engineering and Manufacturing, 16(6): P. 1061-1066, 2015.
    46. C. Wu and X. Liao, Lubrication in Chemical and Mechanical Planarization, in Advances in Tribology. p. 255-267, 2016.
    47. R. Han, Y. Sampurno, S. Theng, et al., Method for Ultra Rapid Determination of the Lubrication Mechanism in Chemical Mechanical Planarization, ECS Journal of Solid State Science and Technology, 6(1): P. 32-37, 2016.
    48. Z. Qi, W. Lu and W. Lee, A hydrodynamic and kinematic analysis of chemical–mechanical planarization mechanism in double sided polisher, International Journal of Machine Tools and Manufacture, 82-83: P. 59-67, 2014.
    49. N. Suzuki, H. Misono, E. Shamoto, et al., Material removal efficiency improvement by orientation control of CMP pad surface asperities, Precision Engineering, 62: P. 83-88, 2020.
    50. R. Zhou, M. Pu, X. Ma, et al., Investigation on the nonlinear relationship between relative velocity and material removal in bonnet polishing, in 9th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Subdiffraction-limited Plasmonic Lithography and Innovative Manufacturing Technology, 2019, p, 1-8.
    51. L. Nolan and K. Cadien, Copper CMP: The Relationship between Polish Rate Uniformity and Lubrication, ECS Journal ofSolid State Science and Technology, 1(4): P. 157-163, 2012.
    52. H. Kim and H. Jeong, Effect of process conditions on uniformity of velocity and wear distance of pad and wafer during chemical mechanical planarization, Journal of Electronic Materials, 33(1): P. 53-60, 2004.
    53. G. Srivastava and C.F. Higgs, A Full Wafer-Scale PAML Modeling Approach for Predicting CMP, Tribology Letters, 59(2): P. 1-12, 2015.
    54. D.G. Thakurta, C.L. Borst, D.W. Schwendeman, et al., Three-Dimensional Chemical Mechanical Planarization Slurry Flow Model Based on Lubrication Theory, Journal of The Electrochemical Society, 148(4): P. 207-214, 2001.
    55. P. Zhou, D. Guo, R. Kang, et al., A mixed elastohydrodynamic lubrication model with layered elastic theory for simulation of chemical mechanical polishing, The International Journal of Advanced Manufacturing Technology, 69(5-8): P. 1009-1016, 2013.
    56. N.Y. Nguyen, Y. Tian and Z.W. Zhong, Modeling and simulation for the distribution of slurry particles in chemical mechanical polishing, The International Journal of Advanced Manufacturing Technology, 75: P. 97-106, 2014.
    57. B. Egan and H.J. Kim, Effect of Controlling Abrasive Size in Slurry for Tungsten Contact CMP Process, ECS Journal of Solid State Science and Technology, 8(5): P. 3206-3211, 2019.
    58. E.J. Terrell and C.F.H. III, A Particle-Augmented Mixed Lubrication Modeling Approach to Predicting Chemical Mechanical Polishing, Journal of Tribology, 131: P. 1-10, 2008.
    59. Y. Homma, Dynamical mechanism of chemical mechanical polishing analyzed to correct Preston’s empirical model, Journal of The Electrochemical Society, 153(6): P. 587-590, 2008.
    60. S. Jianxiu, C. Xiqu, D. Jiaxi, et al., Material removal rate in chemical-mechanical polishing of wafers based on particle trajectories, Journal of Semiconductors, 31(5): P. 1-6, 2010.
    61. Y. Huang, D. Guo, X. Lu, et al., A lubrication model between the soft porous brush and rigid flat substrate for post-CMP cleaning, Microelectronic Engineering, 88(9): P. 2862-2870, 2011.
    62. T. Sun, Y. Zhuang, L. Borucki, et al., Optical and Mechanical Characterization of Chemical Mechanical Planarization Pad Surfaces, Japanese Journal of Applied Physics, 49(4): P. 1-5, 2010.
    63. K. Parka and H. Jeongb, Investigation of Pad Surface Topography Distribution for Material Removal Uniformity in CMP Process, Journal of The Electrochemical Society, 155(8): P. 595-602, 2008.
    64. C. Shin, H. Qin, S. Hong, et al., Effect of conditioner load on the polishing pad surface during chemical mechanical planarization process, Journal of Mechanical Science and Technology, 30(12): P. 5659-5665, 2016.
    65. J. Seo, A review on chemical and mechanical phenomena at the wafer interface during chemical mechanical planarization, Journal of Materials Research: P. 1-23, 2020.
    66. J.C. Yang, D.W. Oh, H.J. Kim, et al., Investigation on Surface Hardening of Polyurethane Pads During Chemical Mechanical Polishing (CMP), Journal of Electronic Materials, 39(3): P. 338-346, 2010.
    67. L. Chen, Q. Xu, F. Yang, et al., An Oxide Chemical Mechanical Planarization Model for HKMG Structures, ECS Journal of Solid State Science and Technology, 7(10): P. 529-536, 2018.
    68. S. Hong, D. Han and K.-S. Jang, Zeta potential-tunable silica abrasives and fluorinated surfactants in chemical mechanical polishing slurries, Wear, 466-467: P. 1-13, 2021.
    69. T. Fujita, Evaluation of correlation between chemical modification state of pad and polishing rate in oxide chemical mechanical planarization, Thin Solid Films, 709: P. 1-8, 2020.
    70. M.S. Ahmmed and N. Huda, Hydrogen diffusion and dissociation influenced by the laser treatments: a study in the context of silicon processing, Materials Research Express, 6: P. 1-13, 2019.
    71. L. Han, H. Zhao, Q. Zhang, et al., Research on influences of contact force in chemical mechanical polishing (CMP) process, AIP Advances, 5(4): P. 1-9, 2015.
    72. Y. Zou, R. Satou, O. Yamazaki, et al., Development of a New Finishing Process Combining a Fixed Abrasive Polishing with Magnetic Abrasive Finishing Process, Machines, 9(4): P. 1-14, 2021.
    73. L.-M. Fu, J.-Y. Lin and R.-J. Yang, Analysis of electroosmotic flow with step change in zeta potential, Journal of Colloid and Interface Science, 258(2): P. 266-275, 2003.
    74. K. Yoshida, T. Sato, S.I. Eom, et al., A study on an AC electroosmotic micropump using a square pole – Slit electrode array, Sensors and Actuators A: Physical, 265: P. 152-160, 2017.
    75. L.-S. Lu, Y.-M. Lin and C.-C.A. Chen, Simulation of Granular Temperature of Abrasive Particles in the EKF-CMP System., 2018 IEEE International Conference on Advanced Manufacturing (IEEE ICAM 2018): P. 127-130, 2018.
    76. D.G. Thakurta, D.W. Schwendeman, R.J. Gutmann, et al., Three-dimensional wafer-scale copper chemical–mechanical planarization model, Thin Solid Films 414: P. 78-90, 2002.
    77. D. Zhao, T. Wang, Y. He, et al., Kinematic Optimization for Chemical Mechanical Polishing Based On Statistical Analysis of Particle Trajectories, IEEE Transactions on Semiconductor Manufacturing, 26(4): P. 556-563, 2013.
    78. D. Liu, G. Chen and Q. Hu, Material removal model of chemical mechanical polishing for fused silica using soft nanoparticles, The International Journal of Advanced Manufacturing Technology, 88(9-12): P. 3515-3525, 2016.
    79. W. Li, D. Guo, Z. Jin, et al., Electrochemical Mechanical Polishing of Copper with High Permittivity Abrasives, Materials and Manufacturing Processes, 28(2): P. 207-212, 2013.
    80. P.C. Goonetilleke and D. Roy, Electrochemical–mechanical planarization of copper: Effects of chemical additives on voltage controlled removal of surface layers in electrolytes, Materials Chemistry and Physics, 94(2-3): P. 388-400, 2005.
    81. S. Di Fraia, N. Massarotti and P. Nithiarasu, Modelling electro-osmotic flow in porous media: a review, International Journal of Numerical Methods for Heat & Fluid Flow, 28(2): P. 472-497, 2018.
    82. Y. Zhang, Y. He, M. Tsutsui, et al., Short channel effects on electrokinetic energy conversion in solid-state nanopores, Scientific Reports, 7: P. 1-14, 2017.
    83. B.S. Georgievich, The Coulomb's law in the theory of a dark matter: P. 1-8, 2017.
    84. J. Du, H. Tao, J. Yang, et al., Understanding electrokinetic thermodynamics in nanochannels, Chinese Journal of Chemical Engineering, 31: P. 33-41, 2021.
    85. T. Siva, B. Kumbhakar, S. Jangili, et al., Unsteady electro-osmotic flow of couple stress fluid in a rotating microchannel: An analytical solution, Physics of Fluids, 32(10): P. 1-12, 2020.
    86. M. Mirzadeh, T. Zhou, M.A. Amooie, et al., Vortices of electro-osmotic flow in heterogeneous porous media, Physical Review Fluids, 5(10): P. 1-20, 2020.
    87. R.W. Pryor, Multiphysics Modeling Using COMSOL 5 and MATLAB, Mercury Learning and Information: P. 1-852, 2016.
    88. S. Wang, N. Li, M. Zhao, et al., Effect of Slip Velocity on the Rotating Electro-Osmotic Flow of the Power-Law Fluid in a Slowly Varying Microchannel, Zeitschrift für Naturforschung A, 73(9): P. 825-831, 2018.
    89. S.G. Fedosin, The virial theorem and the kinetic energy of particles of a macroscopic system in the general field concept, Continuum Mechanics and Thermodynamics, 29(2): P. 361-371, 2016.
    90. P. Sutowski, J. Plichta and P. Kałduński, Determining kinetic energy distribution of the working medium in a centrifugal disc finishing process—part 1: theoretical and numerical analysis with DEM method, The International Journal of Advanced Manufacturing Technology, 104(1-4): P. 1345-1355, 2019.
    91. D. Termini and A. Di Leonardo, Efficiency of a Digital Particle Image Velocimetry (DPIV) Method for Monitoring the Surface Velocity of Hyper-Concentrated Flows, Geosciences, 8(10): P. 1-17, 2018.
    92. P.-T. Mai, L.-S. Lu, C.-C.A. Chen, et al., Investigation of Particle Kinetic Energy for EKF-CMP Process, ECS Journal of Solid State Science and Technology, 10(7): P. 074007, 2021.
    93. J. Zhao, J. Huang, R. Wang, et al., Investigation of the optimal parameters for the surface finish of K9 optical glass using a soft abrasive rotary flow polishing process, Journal of Manufacturing Processes, 49: P. 26-34, 2020.
    94. F. Mehrabi, M. Farahnakian, S. Elhami, et al., Application of electrolyte injection to the electro-chemical discharge machining (ECDM) on the optical glass, Journal of Materials Processing Technology, 255: P. 665-672, 2018.
    95. S. Jeon, J. Hong, S. Hong, et al., Investigation of abrasive-free slurry for polysilicon buffing chemical mechanical planarization, Materials Science in Semiconductor Processing, 128: P. 1-8, 2021.
    96. F. Chen, S. Hao, X. Miao, et al., Numerical and experimental study on low-pressure abrasive flow polishing of rectangular microgroove, Powder Technology, 327: P. 215-222, 2018.
    97. X. Wang, B. Zhang, Y. Qiao, et al., Chemo-mechanical abrasive flow machining (CM-AFM): A novel high-efficient technique for polishing diamond thin coatings on inner hole surfaces, Journal of Manufacturing Processes, 69: P. 152-164, 2021.
    98. X.-M. Bai, L.M. Keer, Q.J. Wang, et al., Investigation of particle damping mechanism via particle dynamics simulations, Granular Matter, 11(6): P. 417-429, 2009.
    99. W. Thielicke and R. Sonntag, Particle Image Velocimetry for MATLAB: Accuracy and enhanced algorithms in PIVlab, Journal of Open Research Software, 9: P. 1-14, 2021.
    100. L. Han, H. Wang, X. Liu, et al., Particle Image Velocimetry of Oil-Water Two-Phase Flow with High Water Cut and Low Flow Velocity in a Horizontal Small-Diameter Pipe, Sensors, 19(12): P. 1-18, 2019.
    101. H. Guo, Y. Wu, D. Lu, et al., Effects of pressure and shear stress on material removal rate in ultra-fine polishing of optical glass with magnetic compound fluid slurry, Journal of Materials Processing Technology, 214(11): P. 2759-2769, 2014.
    102. T. Suratwala, W. Steele, M. Feit, et al., Mechanism and Simulation of Removal Rate and Surface Roughness During Optical Polishing of Glasses, Journal of the American Ceramic Society, 99(6): P. 1974-1984, 2016.
    103. H. Li, Q. Zhao, X. Lu, et al., Signal processing and analysis for copper layer thickness measurement within a large variation range in the CMP process, Rev Sci Instrum, 88(11): P. 1-9, 2017.
    104. B. Gao, W.J. Zhai, Q. Zhai, et al., Communication—A Strategy to Reduce the Content of Residual Oxide Layer on SiC Surface in ECMP, ECS Journal of Solid State Science and Technology, 10(4): P. 044006, 2021.
    105. T. Zhao, J. Yuan, Q. Deng, et al., Contrast Experiments in Dielectrophoresis Polishing (DEPP)/Chemical Mechanical Polishing (CMP) of Sapphire Substrate, Applied Sciences, 9(18): P. 1-13, 2019.

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