676 D.R. Hines et al.
Fig. 9.6 Cross-section
illustration of (a) standard
projection photomask, (b)
alternating phase-shift
photomask, (c) attenuated
phase-shift photomask, and
(d) grayscale photomask
a gray-level. An illustration of the different types of projection photomasks is shown
in Fig. 9.6.
Photomasks are typically made from soda-lime glass, borosilicate glass, or fused
quartz. Thermal expansion and optical transmission are the primary considerations
for choosing the mask material. Table 9.1 lists the thermal expansion coefficients for
these materials. The transmission properties are shown in Fig. 9.7. The dimensions
of soda-lime glass can change by 1.2 µm across a 5 in. mask for every 1
◦
C change
in temperature. However, for mask fabrication tools and steppers that are housed in
a temperature-controlled environment, this is not typically a great concern and thus
soda-lime glass can be used. For mask fabrication tools that use e-beam lithography,
the mask is in a high vacuum environment, which can affect heat transfer. Therefore,
borosilicate glass is more commonly used with these e-beam mask-writing tools.
In UV lithography applications using wavelengths shorter than 350 nm, and for
applications achieving very high resolution, quartz masks are needed due to thermal
effects and transmissivity.
Table 9.1 Thermal
coefficient for materials used
as photomasks
Material Thermal coefficient, ppm/
◦
C
Soda lime 9.3
Borosilicate 3.7
Quartz 0.5
Reproduced with permission from [31],
Microlithography: From Computer Aided Design
(CAD) to Pattern Substrate, Cornell NanoScale Science
and Technology Facility
Typically, electronic circuits and completed MEMS devices are fabricated in
stages, requiring several sequential photolithography steps. Each step or layer
requires a separate photomask containing part of the overall circuit or device pattern
that must be carefully aligned to the previously patterned features on the substrate.
An example of a four-layer photolithography process and the associated photomasks
(both clear and dark field mask sets) are shown in Fig. 9.8.