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On a Particle-Augmented Mixed Lubrication Approach to Predicting CMP

Published online by Cambridge University Press:  01 February 2011

C. Fred Higgs
Affiliation:
higgs@andrew.cmu.edu, Carnegie Mellon Institute, Mechanical Engineering, 5000 Forbes Ave, Mechanical Engineering Dept., Pittsburgh, PA, 15213-3890, United States, 4122682486, 4122683348
Elon J Terrell
Affiliation:
eterrell@andrew.cmu.edu, Carnegie Mellon University, Mechanical Engineering, 5000 Forbes Ave, Mechanical Engineering Dept, Pittsburgh, PA, 15213-3890, United States
Michael Kuo
Affiliation:
mkuo@andrew.cmu.edu, Carnegie Mellon University, Mechanical Engineering, 5000 Forbes Ave, Mechanical Engineering Dept, Pittsburgh, PA, 15213-3890, United States
Joseph Bonivel
Affiliation:
jbonivel@andrew.cmu.edu, Carnegie Mellon University, Mechanical Engineering, 5000 Forbes Ave, Mechanical Engineering Dept, Pittsburgh, PA, 15213-3890, United States
Sarah Biltz
Affiliation:
sbiltz@andrew.cmu.edu, Carnegie Mellon University, Mechanical Engineering, 5000 Forbes Ave, Mechanical Engineering Dept, Pittsburgh, PA, 15213-3890, United States
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Abstract

Chemical mechanical polishing (CMP) is a process commonly used to planarize or polish thin film surfaces to enable stacking of additional levels to enhance lithographic patterning of wafers. It is used to make surfaces atomically smooth and is also an interim step in integrated circuit (IC) manufacturing. CMP is an example of a tribological regime called Particle-Augmented Mixed Lubrication (PAML) as named by the authors. PAML occurs when two surfaces in relative motion under load are partially separated by an intervening fluid-particle mixture. The load is supported by both asperities and fluid, and the interface is further complicated by the addition of nanoparticles. PAML involves four core components that must be modeled integrally—fluid mechanics, particle dynamics, contact mechanics, and material removal (wear). This work introduces the fundamental tenets of PAML, and describes how it is an effective first principle multi-physics approach to modeling CMP. By inputting the artificial random topographies for the pad and wafer with their actual mechanical properties, the PAML modeling simulation results predict the instantaneous material removal as the wear volume caused by particle-induced wear. These discrete instantaneous material removal events lead to the cumulative wear seen during CMP over a short time. Although only a small fraction of the time of the actual CMP process, tests of 120μs show that the cumulative material removal occurring over the entire simulation is approximately 0.012μm3. This work suggests that a generalized multi-physics modeling simulation of the CMP process is plausible.

Type
Research Article
Copyright
Copyright © Materials Research Society 2007

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References

REFERENCES:

1. Luo, J. and Dornfeld, D., “Material Removal Regions in Chemical Mechanical Planarization for Submicron Integrated Circuit Fabrication: Coupling Effects of Slurry Chemicals, Abrasive Size Distribution, and Wafer-Pad Contact Area,” IEEE Trans. on Semiconductor Manufacturing, 2003, 16(1): p. 4556.Google Scholar
2. Luo, J. F., Liu, Y. J. and Berger, E. J., “Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method,” Computational Mechanics, 1998, 22(5): p. 404412.Google Scholar
3. Borst, C. L., Thakurta, D. G., Gill, W. N. and Gutmann, R. J., “Chemical-Mechanical Planarization of Low-k Polymers for Advanced IC Structures,” Journal of Electronic Packaging, Transactions of the ASME, 2002, 124(4): p. 362366.Google Scholar
4. Jeng, Y.-R. and Tsai, H.-J., “Tribological analysis on powder slurry in chemical mechanical polishing,” Journal of Physics D: Applied Physics, 2002, 35(13): p. 1585.Google Scholar
5. Cook, L. M., “Chemical Processes in Glass Polishing,” J. of Non-Crystalline Solids, 1990, 120: p. 152171.Google Scholar
6. Thakurta, D. G., Schwendeman, D. W., Gutmann, R. J., Shankar, S., Jiang, L. and Gill, W. N., “Three-dimensional wafer-scale copper chemical-mechanical planarization model,” Thin Solid Films, 2002, 414(1): p. 78.Google Scholar
7. Borst, C. L., Gill, W. N. and Gutmann, R. J., Chemical-Mechanical Polishing of Low Dielectric Constant Polymers and Organosilicate Glasses, 2002, Norwell, MA: Kluwer Academic Publishers.Google Scholar
8. Seok, J., Sukam, C. P., Kim, A. T., Tichy, J. A. and Cale, T. S., “Multiscale Material Removal Modeling of Chemical Mechanical Polishing,” Wear, 2003, 254: p. 307320.Google Scholar
9. Shan, L., Levert, J., Meade, L., Tichy, J. and Danyluk, S., “Interfacial Fluid Mechanics and Pressure Prediction in Chemical Mechanical Polishing,” Journal of Tribology, 2000, 122: p. 539543.Google Scholar
10. Ng, S. H., Higgs, C. F. III, Borucki, L., Yoon, I., Osorno, A. and Danyluk, S. “Two-Dimensional Modeling of Interfacial Mechanics During Chemical Mechanical Polishing,” in Computational Mechanics: WCCM VI with APCOM, 2004.Google Scholar
11. Lin, J. F., Chern, J. D., Chang, Y. H., Kuo, P. L. and Tsai, M. S., “Analysis of the tribological mechanisms arising in the chemical mechanical polishing of copper-film wafers,” Journal of Tribology, 2004, 126(1): p. 185199.Google Scholar
12. Ng, S. H., Borucki, L., Higgs, C. F. III, Yoon, I. and Danyluk, S., “Tilt and Interfacial Fluid Pressure Measurements of a Disk Sliding on a Polymeric Pad,” Journal of Tribology, 2005, 127(1): p. 198205.Google Scholar
13. Ng, S. H., Higgs, C. F., Yoon, I. and Danyluk, S., “An Analysis of Mixed Lubrication in Chemical Mechanical Polishing,” ASME Journal of Tribology, 2004, 126: p. 16.Google Scholar
14. Higgs, C. F. III, Ng, S. H., Borucki, L. and Danyluk, S., “A Mixed-Lubrication Approach to Predicting CMP Fluid Pressure: Modeling and Experiments,” Journal of the Electrochemical Society., 2005, 152(3): p. 16.Google Scholar
15. Ng, S. H., Yoon, I., Higgs, C. F. III and Danyluk, S., “Wafer-bending measurements in CMP,” Journal of the Electrochemical Society, 2004, 151(12): p. 819823.Google Scholar
16. Higgs, C. F. III, Ng, S. H., Yoon, I., Shan, L., Yap, L. and Danyluk, S.Mechanical Modeling of the 2D Interfacial Slurry Pressure in CMP,” 2003, San Francisco, CA, United States: Materials Research Society.Google Scholar
17. Greenwood, J. A. and Williamson, J. B., “Contact of Nominally Flat Rough Surfaces,” Proc. Royal Society of London, 1966, A295: p. 300319.Google Scholar
18. Kim, A., Seok, J., Sukam, C., Tichy, J. and Cale, T. “Multiscale material removal modeling of chemical mechanical polishing,” in Advanced Metallization Conference, 2001.Google Scholar
19. Terrell, E., Garcia, J. and Higgs, C. F III. “Two-Phase Hydrodynamic Modeling of Particulate Fluids in Sliding Contacts,” in Proceedings of World Tribology Congress, 2005.Google Scholar