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X-Ray–Based Fabrication                                                                     5-5



                                     1


                                    0.8


                                  Transmission  0.6                        C (2um)


                                                                           Si5N (1um)
                                    0.4
                                                                           Ti (2um)
                                                                           Si (2um)
                                                                           Be (100um)
                                    0.2
                                                                           C(G) (100um)
                                                                           Si (100um)
                                     0
                                       2      3    4   5  6 7 8 9 10          20
                                                      Enegry (kev)
             FIGURE 5.3 X-ray transmission of various X-ray mask substrates as a function of X-ray photon energy. The non-
             stoichiometric form of silicon nitride is a low stress LPCVD (low pressure chemical vapor deposition) form used in
             membrane fabrication. For the carbon mask at 100µm thickness, graphite with a density of 1.65g/cc was used.


                               3 10 13                                        Aladdin-1.0 GeV
                           Flux (photons/sec/mrad 2 /0.1%BW)  1.5 10 13       CAMD-1.3 GeV
                                   13
                             2.5 10

                               2 10
                                                                              CAMD-1.5 GeV
                                                                              ALS-1.9 GeV
                                   13
                                                                              SSRL-3.0 GeV
                                                                              NSLS-2.584 GeV
                                   13
                               1 10
                                                                              CAMD-1.5 GeV wiggler
                                   12
                               5 10
                                   0                                          APS - 7 GeV
                                    2     3  4 5 6 7 8 910        20   30
                                                 Energy (keV)

             FIGURE 5.4 Synchrotron radiation spectra for U.S. storage rings listed in Table 5.1. The spectral curve for the APS
                                              14
                                                              2
             source, which has a peak flux near 1(10) photons/sec/mrad /0.1%BW at 16keV, does not appear on the graph.
             [Sekimoto et al., 1982; Visser et al., 1987; Guckel et al., 1989]. The transmission behavior for these mask
             substrates is plotted in Figure 5.3. What is needed is a mask substrate that is stable to large X-ray flux and
             that also has sufficient thickness or support to allow easy handling while maintaining the transmission
                                                                                                           3
             necessarytoreadily achieve the required exposure dose. For PMMA the required dose is near 3 kJ/cm .
             Acorresponding source of X-ray radiation is also required.The nearly ideal light source for this task is found
             in the synchrotron radiation (SR) that is emitted by charged particle storage rings. The properties of light
             that result from accelerating charged particles at relativistic energies include highly intense radiation over a
             broad spectral range from UV to X-ray wavelengths and collimation of the order of 0.1 mrad. The SR beam
             is emitted in a narrow horizontal stripe of light through a vacuum line (beamline)extending from the stor-
             age ring. This requires the mask and photoresist combination to be scanned vertically through the beam,
             which additionally determines a local dose rate in the photoresist. The SR spectra for U.S. synchrotron
             radiation  facilities  are  plotted  in  Figure  5.4. Frequently  used  SR  equations  are  listed  in  Table  5.3



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