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temperature (Tg) underfills to reduce the stresses imparted to the silicon. However, while using a low Tg underfill may minimize the stresses on the low-k, it could in turn transfer the stresses elsewhere, such as in the first-level interconnect.37 Moreover, the effect of the material set on ILD delamination and solder joint reliability may be different when the free standing package is stressed, as opposed to when it is mounted on a printed circuit board and then stressed. In wirebond BGA packages, the effect of the wirebonding process on the low-k dielectric needs to be characterized.38 In addition, the choice of mold compound material (modulus and CTE) could also impact the long term reliability of the low-k dielectric in the fully assembled package. The package with the selected material set should be subjected to component level and second level temperature cycling, followed by scanning acoustic microscopy (SAM) to ensure that there are no delamination-induced failures in the low-k dielectric or other critical interfaces.

1 J H Lau (ed), Solder Joint Reliability: Theory and Applications, Van Nostrand Reinhold, New York, 1991 2 S B Park, Rahul Joshi, and Lewis Goldmann, Reliability of Lead-Free Copper Columns in Comparison with Tin-Lead Solder Column Interconnects, Electronic Components and Technology Conference, 2004, pp 82 89 3 IPC-SM-785, Guidelines for Accelerated Reliability Testing of Surface Mount Solder Attachments, 1992 wwwipcorg 4 Jin-Young Kim, Won-Joon Kang, Yoon-Hyun Ka, Yong-Joon Kim, Eun-Sook Sohn, Sung-Su Park, Jae-Dong Kim, Choon-Heung Lee, Akito Yoshida, and Ahmer Syed, Board Level Reliability Study on Three-Dimensional Thin Stacked Package, Electronic Components and Technology Conference, 2004, pp 624 629 5 Rocky Shih, Sam Dai, Francois Billaut, Sue Teng, Mason Hu, Ken Hubbard, The Effect of Printed Circuit Board Thickness and Dual-sided Configuration on the Solder Joint Reliability of Area Array Packages, International Microelectronics and Packaging Society (IMAPS), 2004 6.

IPC 9701, Performance Test Methods and Qualification Requirements for Surface Mount Solder Attachments, IPC, January 2002 wwwipcorg 7 S Ehrler, Compatibility of Epoxy-based PCBs to Lead-Free Assembly, Circuitree, 1st June 2005 8 S Ehrler, Comparison of High-Tg-FR-4 Base Materials, IPC-Expo & Conference, Long Beach, CA, 24 26th March 2003 9 Mudasir Ahmad, Sue Teng, Jie Xue, Effect of Underfill Material Properties on Low- k Dielectric, First and Second Level Interconnect Reliability, IMAPS Conference on Device Packaging, Scottsdale, AZ, 2006 10 JEDEC Design Standard, Design Requirements For Outlines Of Solid State And Related Products, JEDEC Publication 95, Design Guide 414, Ball Grid Array Package (BGA), Issue D, December 2002 wwwjedecorg 11 Mudasir Ahmad, Ken Hubbard, Mason Hu, Solder Joint Shape Prediction Using a Modified Perzyna Viscoplastic Model, ASME Journal of Electronic Packaging, 2005, 127(3), pp 290 298 12.

JEDEC Standard, JESD22b112, High Temperature Package Warpage Measurement Methodology, May 2005 wwwjedecorg 13 Benlih Huang, Ning-Cheng Lee, Conquer Tombstoning in Lead-Free Soldering, IPC Printed Circuits Expo, SMEMA Council, APEX Designers Summit 2004, pp S27-1 S27-7 14 Lei L Mercado, Vijay Sarihan, Yifan Guo, and Andrew Mawer, Impact of Solder Pad Size on Solder Joint Reliability in Flip Chip PBGA Packages, IEEE Transactions On Advanced Packaging, Vol 23, No 3, August 2000, pp 415 420 15 IPC-7351, Generic Requirements for Surface Mount Design and Land Pattern Standard, IPC, February 2005 wwwipcorg 16 Marie S Cole, J Jozwiak, E Kastberg, G Martin, Compressive Load Effects On CCGA Reliability, SMTA International, September 2002..

17 Michael L Eyman, Gary B Kromann, Investigation of Heat Sink Attach Methodologies and the Effects on Package Structural Integrity and Interconnect Reliability of the 119-Lead Plastic Ball Grid Array, Electronic Components and Technology Conference, 1997, pp 1068 1075 18 Deepak Goyal,Tim Lane, Patrick Kinzie, Chris Panichas, Kam Meng Chong, Oscar Villalobos, Failure Mechanisms of Brittle Solder Joint Fracture in the Presence of Electroless Nickel Immersion Gold (ENIG) Interface, Electronic Components and Technology Conference, 2004, pp 732 739 19 Kozo Harada, Shinji Baba, Qiang Wu, Hironori Matsushima, Toshihiro Matsunaga, Yasumi Uegai, Michitaka Kimura, Analysis of Solder Joint Fracture under Mechanical Bending Test, Electronic Components and Technology Conference, 2003 pp 1731 1737 20 Shelgon Yee, Lodgers Chen, Justin Zeng, Roger Jay, Ternary Intermetallic Compound - A Real Threat To BGA Solder Joint Reliability, Journal of SMT, 2004, Vol 17, Issue 2, pp 29 36 21.

metric. The basis one forms form a dual vector space to ordinary vectors, in the sense that the one forms constitute a vector space in their own right and the basis one forms map basis vectors to a number, the Kronecker delta function; i.e.,