Accurate feature placement on the wafer in ion projection lithography
requires that the distortion due to stress relief produced by the patt
ern of holes in the mask be controlled. We have used the finite elemen
t method provided by the ANSYS software package to calculate the two d
imensional mask distortion due to non-symmetrical patterns of openings
in stencil masks and to analyze a method for controlling distortion.
The ion projection lithography mask is a circular silicon membrane 120
mm in diameter 2.5 mu m thick rigidly held around the perimeter. The
central 60 x 60 mm square area will contain the pattern to be printed,
demagnified by 3x. We take the intrinsic stress of the membrane to be
10 MPa, the Young's modulus of the membrane to be E = 1.5 x 10(11) Pa
and the Poisson ratio v = 0.17. We have explored the x-y distortion p
roduced by various simple geometries. For example, consider an asymmet
ric grid of square holes which is 22% open on one half and 10% open on
the other half. High distortion in this case will occur along the dia
meter, between the two halves. The boundary between the two halves (al
ong the diameter) is bowed by 182 nm. A method for reducing the distor
tion is to cut a pair perforation rings along the perimeter. The perfo
ration rings will have the effect that the central part of the membran
e will have the stress relieved and it will be held in effect by ''spr
ings'' at a constant, low stress level. We have calculated that the bo
w of the diameter can be reduced to 18 nm by a suitable geometry of th
e perforations. The perforation ring is an effective means of reducing
distortion to well below an acceptable level. The uniform shrinkage o
f the pattern due to stress relief is simply a small change in magnifi
cation which is automatically corrected by the beam lock in the ion op
tical column.