Analytic Calculation of Forces and Torques on a Silicon Die under Fluidic Self-alignment

Berthier, Grossi and di Cioccio recently reported some numerical simulations of the behaviour of silicon die subjected to capillary forces during self-alignment to a hydrophilic area on a substrate. In this paper a simple but entirely analytical model is used to calculate the self-aligning forces and the twisting torque in the same situation. The functional forms of the analytical results show good agreement with the previous numerical results. Copyright 2010 IFSA. Keywords: Self-alignment, Misalignment, Silicon die, Self-assembly, Surface tension, Free surface energy, Analytical techniques.

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