Vol. 115, Issue 4, April 2010, pp. 124-134

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

R. C. WOODS

Department of Electrical and Computer Engineering, Louisiana State University,

Baton Rouge, LA 70803-5901, USA

Tel.: (225) 578 8961, fax: (225) 578 5200

E-mail: cwoods@lsu.edu

Received: 4 December 2009   /Accepted: 20 April 2010   /Published: 27 April 2010

Abstract: 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.

Keywords: Self-alignment, Misalignment, Silicon die, Self-assembly, Surface tension, Free surface energy, Analytical techniques

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