A simple approximate analytical expression based on an elastic deflect
ion principle is suggested as a design guideline for direct bonding of
blank or patterned Si or dissimilar materials of various thicknesses.
To achieve the high flatness requirement of the mating surfaces for t
hick wafer bonding, optical polishing must be employed. With a surface
flatness variation of 0.1 wavelength (similar to 630 Angstrom), two 2
0 mm thick Si pieces of 100 mm in diam were spontaneously bonded at ro
om temperature. On the other hand, the gaps designed to be formed by p
atterned surfaces may collapse during the bonding process if the patte
rn dimensions are not properly selected.