Page 104 - Sami Franssila Introduction to Microfabrication
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Thin-film Growth and Structure 83



                                                                  Al   (300 nm)
                                                                  Mo   (50 nm)
                             Resonator                            ZnO  (2300 nm)
                                                                  Au   (200 nm)
                                                                  Ni   (50 nm)
                                                                  SiO 2  (1580 nm)
                             Acoustic                             W    (1350 nm)
                                                                  TiW
                                                                       (30 nm)
                             λ/4 mirror                           SiO 2  (1580 nm)
                                                                  W    (1350 nm)
                                                                  TiW  (30 nm)


           Figure 7.9 Bulk acoustic resonator structure on a glass wafer: a piezoelectric ZnO resonator is sandwiched between
           gold and aluminium electrodes. TiW, Ni and Mo are thin adhesion promotion layers. W and SiO 2 form λ/4 acoustic
           wavelength filters. Adapted from VTT Microelectronics annual research review 2001



           characteristics and also on the sharpness of inter-  thin-film bulk acoustic resonators (TFBAR): multilayers
           faces. For epitaxial growth, atomic layer structures are  of W:SiO 2 , with thicknesses ca. 1.5 µm, act as acoustic
           possible; for example, delta-doping layer is a single  mirrors (Figure 7.9).
           atomic layer of dopant between two semiconductors.  In PECVD deposition, oxynitride films of compo-
           Interface abruptness depends on the reactor-operating  sition SiO x N y can be easily made. By tailoring the
           principle: if growth is dependent on the gas flow in the  composition, the refractive index can be tailored from
           reactor, minimum thickness is determined by the gas  1.46 to 2, full range between oxide and nitride indices
           residence time in the reactor (discussed in Chapter 32),  (Figure 7.10). By sandwiching the SiON film between
           which can be fractions of seconds or tens of seconds.  two lower refractive index films, it acts as a waveguide.
           Flow systems, such as CVD, are thus not suitable for  Doping of oxide by phosphorus (PSG) or germanium
           very thin layers. Beam systems, evaporation, sputtering  can also be used to tailor the refractive index, but only
           and molecular beam epitaxy MBE with shutters enable  over a limited range before the other film properties
           subsecond turn-off and turn-on of the deposition. When  change too much.
           multilayer structures are so thin that quantum effects
           arise, they are termed superlattices.
             Dielectric mirrors with λ/4 layer thicknesses for high  7.7 STRESSES
           reflectance surfaces involve multiple dielectric layers.  Thin films are under either compressive or tensile
           Undoped polysilicon, oxide and nitride are the usual  stresses when deposited on the wafers. Stresses consist
           films. For visible wavelengths, layer thicknesses around  of extrinsic stresses, caused by thermal expansion
           100 nm are typical. Similar λ/4 structures are used in  mismatch between the film and the substrate, and of
                                                       intrinsic stresses that depend on the film microstructure
                                                       and the deposition process.
                                           0.4 µm        Extrinsic stresses can be estimated from thermal
                                           0.1 µm      expansion coefficient differences:
                       SiO 2               0.5 µm
                        n = 1.46                                σ = E f (α f − α s ) ×  T/(1 − ν)  (7.3)
                     SiON  n = 1.52        2.0 µm
                                                       (by convention, negative stresses are compressive)
                         SiO 2
                       n = 1.46                        where E f = Young’s modulus of the film
                                                             ν = Poisson ratio of the film
                         p−Si
                                                             α = coefficient of thermal expansion
                                                            T = temperature difference.
           Figure 7.10 Refractive index SiO 2 /SiO x N y /SiO 2 waveg-
           uide: n f 1.46/1.52/1.46. Reproduced from Hilleringmann,  In the first approximation, the temperature difference
           U. & K. Goser (1995), by permission of IEEE  is the difference between the deposition and measurement
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