H. Tada et al., Thermal expansion coefficient of polycrystalline silicon and silicon dioxide thin films at high temperatures, J APPL PHYS, 87(9), 2000, pp. 4189-4193
The rapid growth of microelectromechanical systems (MEMS) industry has intr
oduced a need for the characterization of thin film properties at all tempe
ratures encountered during fabrication and application of the devices. A te
chnique was developed to use MEMS test structures for the determination of
the difference in thermal expansion coefficients (alpha) between poly-Si an
d SiO2 thin films at high temperatures. The test structure consists of mult
ilayered cantilever beams, fabricated using standard photolithography techn
iques. An apparatus was developed to measure the thermally induced curvatur
e of beams at high temperatures using imaging techniques. The curvatures me
asured were compared to the numerical model for multilayered beam curvature
. The model accounts for the variation in thermomechanical properties with
temperature. The beams were designed so that the values of Young's moduli h
ad negligible effect on beam curvature; therefore, values from literature w
ere used for E-Si and E-SiO2 without introducing significant error in curva
ture analysis. Applying this approximation, the difference in thermal expan
sion coefficients between alpha(Si) and alpha(SiO2) was found to increase f
rom 2.9x10(-6) to 5.8x10(-6) degrees C-1 between room temperature and 900 d
egrees C. These results suggest that the alpha for poly-Si thin films may b
e significantly higher than values for bulk, crystalline Si. (C) 2000 Ameri
can Institute of Physics. [S0021- 8979(00)04109-8].