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Stresses in Thin Films Final Presentation. Cynthia Macht, Nick Svencer, Heather Stern Tufts University, TAMPL July 31, 1998. Overview. Initial Goals Setup Modifications Samples Data Conclusions. Initial Goals. Design and Construct Apparatus Fabricate Samples
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Stresses in Thin FilmsFinal Presentation Cynthia Macht, Nick Svencer, Heather Stern Tufts University, TAMPL July 31, 1998 TAMPL
Overview • Initial Goals • Setup Modifications • Samples • Data • Conclusions TAMPL
Initial Goals • Design and Construct Apparatus • Fabricate Samples • Test Thin Film Samples for Stress and Relaxation at High Temperatures • Polymers • Silicon Wafers • Analyze Data TAMPL
Final Apparatus • Split-Beam Laser Technique • Heater Raised Around Sample • Stainless Steel Sample Holder • Quartz Plate • Two Fans • Thermocouples TAMPL
Quartz Plate TAMPL
Final Apparatus Continued New Sample Holder -Stainless Steel Higher Temperatures -58% Open Space Fans in Place on Heater -Reduces Convection Currents Above Quartz Plate TAMPL
Laser Schematic Large Mirror Wall x laser Beam Splitter Mirror S Sample R TAMPL
Obstacles to Dot Measurement • Extremely Slight Bending of Silicon Wafers • Difficult to Detect Change in Dot Distance • Dots Change Shape During Experiment • Loss of Reference Point Human Error CCD Camera TAMPL
Polystyrene Samples • Brass Substrate • Thickness .010-.031” • Polystyrene Film • Thickness .006-.007” +/- .001” • Polymer Sold by Polaroid TAMPL
Formulas to Determine Stress of Thin Films Curvature Where, K=curvature, R=radius of curvature, x=distance between laser dots on wall, S=distance between dots on sample L=total length traveled by laser beam Stoney Formula Where =stress of the film, =Young’s modulus of the substrate =thickness of substrate =Poisson’s Ratio of the substrate =thickness of the film TAMPL
Polystyrene Relaxation curve, average temp = 344.45°K, time constant = 1/.013244=75.51s Time vs. Change in Curvature of .010”Brass/.006±.001”Polystyrene Change in Curvature (1/m) Time (s) TAMPL
Polystyrene Relaxation Curve, average temperature = 330.75°K time constant =1/.03199=31.26s Time vs. Change in Curvature of .010”Brass/.007±.001”Polystyrene Change in Curvature (1/m) Time (s) TAMPL
Polystyrene Relaxation Curve, average temperature = 351.19°K time constant =1/.01739=57.50s Time vs. Change in Curvature of .031”Brass/.006±.001”Polystyrene Change in Curvature (1/m) Time (s) TAMPL
Polystyrene Conclusions • Relaxation time constant range of polystyrene 31-76 s TAMPL
Silicon WafersFabricated by Northeastern University • Silicon Nitride on Silicon Wafer (SiNx) • Silicon Nitride Thickness 840 Å • Silicon Substrate Thickness .37 mm • Silicon Dioxide on Silicon Wafer (SiO2) • Silicon Dioxide Thickness 1970 Å • Silicon Substrate Thickness .37 mm TAMPL
Formulas for Thin Film Curvature1 1Townsend, Barnett, & Brunner, 1987. TAMPL
Silicon: Coefficient of Thermal Expansion = ~3.58E-6/ºC Young’s Modulus = 1.30E11 Pa TAMPL
Silicon Oxide Conclusions • Coefficient of thermal expansion of Silicon Oxide is slightly smaller than that of Silicon which is ~3.58E-6 TAMPL
Silicon: Coefficient of Thermal Expansion = ~3.58E-6/ºC Young’s Modulus = 1.30E11 Pa TAMPL
Silicon Nitride Conclusions • Coefficient of thermal expansion of SiNx is slightly smaller than that of Silicon which is ~3.58E-6 • SiNx relaxes at 773ºK TAMPL
Final Conclusions • Developed an instrument to measure curvature in a variety of thin film materials, from polymers to semiconductors TAMPL
Visit Our Web Site At: http://www.tufts.edu/~nsvencer/stressmain.html TAMPL