Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-25T16:44:09.307Z Has data issue: false hasContentIssue false

Computational Solid Mechanics Modeling of Asperity Deformation and Pad-Wafer Contact in CMP

Published online by Cambridge University Press:  01 February 2011

Bo Jiang
Affiliation:
[email protected], Rohm and Haas Electronic Materials CMP Technologies, Pad Engineering Research Group, 451 Bellevue Road, Newark, DE, 19713, United States, 302-366-0500 x6971, 302-456-6628
Gregory P. Muldowney
Affiliation:
[email protected], Rohm and Haas Electronic Materials CMP Technologies, Pad Engineering Research Group, 451 Bellevue Road, Newark, DE, 19713, United States
Get access

Abstract

Asperity-scale pad deformation and dynamic pad-wafer contact area are crucial to the fundamental understanding of material removal and defect formation mechanisms in CMP. Pad asperity stress and strain are also central to characterizing pad wear rate during polishing and cut rate during conditioning. While it is very difficult to isolate and measure stress and strain in individual asperities, finite element modeling may be used in conjunction with experimental surface characterization to predict asperity-scale deformation and pad-wafer contact. Asperity sub-domains up to 1270 microns across are reproduced from three-dimensional point cloud data on porous polyurethane CMP pads obtained by confocal microscopy, meshed to high resolution, and analyzed using ABAQUS finite element software. Physical properties are derived from dynamic mechanical experiments. Pad stacks are simulated both with and without sub-pads. Results show that while a sub-pad increases pad-wafer contact area overall, it limits the local spreading of individual contact regions as polishing load increases. This finding identifies a direct mechanical origin of the trade-off in pad design between wafer-scale and die-scale planarity. As expected, the real contact area between a pad and wafer is much smaller than the cross-sectional or “bearing” area, but the difference is notably greater when a sub-pad is present. Values of asperity stress and strain under typical CMP polishing pressures reveal that plastic deformation takes place both on and beneath the contacting surface. Hence upon release of the polishing load the asperities do not fully rebound to their pre-compressed shapes. Each pass under the wafer thus reshapes the pad asperities such that a slightly different texture is presented upon the next pass. These deformation mechanics clarify the impact of top pad and sub-pad properties on real contact area, allowing better optimization of CMP pad performance.

Type
Research Article
Copyright
Copyright © Materials Research Society 2007

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1 Elmufdi, C. L. and Muldowney, G. P., A Novel Optical Technique to Measure Pad-Wafer Contact Area in Chemical Mechanical Planarization, Mater. Res. Soc. Symp. Proc. 914(2006).Google Scholar
2 Johnson, K. L., Contact Mechanics, (Cambridge University Press, Cambridge, UK 1985)p. 90.Google Scholar
3 Greenwood, J. A. and Williamson, J. B. P., Proc. Roy. Soc. London A, 295, 300319(1966).Google Scholar
4 Zhao, Y., Maietta, D. M., and Chang, L., Trans. ASME., J. Tribology, 122, 8693 (2000).Google Scholar
5 Kogut, L. and Etsion, I., Trans. ASME., J. Applied Mechanics, 69, 657662 (2002).Google Scholar
6 Lin, L. P. and Lin, J. F., Trans. ASME., J. Tribology, 128, 221229 (2006).Google Scholar
7 Jackson, R. L. and Green, I., Trans. ASME., J. Tribology, 127, 343354 (2005).Google Scholar
8 Jeng, Y. R. and Peng, S. R., Trans. ASME., J. Tribology, 128, 245251 (2006).Google Scholar
9 Komvopoulos, K. and Choi, D. H., Trans. ASME., J. Tribology, 114, 823831 (1992).Google Scholar
10 Elmufdi, C. L. and Muldowney, G. P., presented at MRS Spring Meeting (2007).Google Scholar