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Chip-on-Beam and Hydrostatic Calibration of the Piezoresistive Coefficients on (111) Silicon

[+] Author Affiliations
Chun-Hyung Cho, Richard C. Jaeger, Jeffrey C. Suhling, M. Kaysar Rahim

Auburn University, Auburn, AL

Paper No. IPACK2007-33570, pp. 297-307; 11 pages
  • ASME 2007 InterPACK Conference collocated with the ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference
  • ASME 2007 InterPACK Conference, Volume 1
  • Vancouver, British Columbia, Canada, July 8–12, 2007
  • Conference Sponsors: Electronic and Photonic Packaging Division
  • ISBN: 0-7918-4277-0 | eISBN: 0-7918-3801-3
  • Copyright © 2007 by ASME


Stress sensing test chips are used to investigate die stresses arising from assembly and packaging operations. The chips incorporate resistor or transistor sensing elements that are able to measure stresses via the observation of the changes in their resistivity/mobility. The piezoresistive behavior of such sensors is characterized by three piezoresistive (pi) coefficients, which are electro-mechanical material constants. Stress sensors fabricated on the surface of the (111) silicon wafers offer the advantage of being able to measure the complete stress state compared to such sensors fabricated on the (100) silicon. However, complete calibration of the three independent piezoresistive coefficients is more difficult and one approach utilizes hydrostatic measurement of the silicon “pressure” coefficients. We are interested in stress measurements over a very broad range of temperatures, and this paper present the experimental methods and results for hydrostatic measurements of the pressure coefficient of both n- and p-type silicon over a wide range of temperatures and then uses the results to provide a complete set of temperature dependent piezoresisitive coefficients for the (111) silicon.

Copyright © 2007 by ASME



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