Page 82 - Sami Franssila Introduction to Microfabrication
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Thin-film Materials and Processes 61



           benzo-cyclo-butadiene), photopatternable epoxy SU-8,  and phase of reflected polarized light are measured.
           polyimides (some of them photopatternable), fluorinated  For very thin films (<10 nm) optical constants are not
           poly(arylene ethers), fluoropolymer CPFP (cyclised  really constants, and absolute accuracy of ellipsometry
                                   
           perfluoro polymers like CYTOP ).             is not very good, but precision is excellent. For thicker
                                        
             PTFE, polytetrafluroethylene (Teflon is one variety  films, multiple reflections and interference mean that
           of PTFE) is also used, because of its special surface  the solution is periodic, with the period given by
           properties such as superhydrophobicity and extremely  Equation 5.2:
           low water absorption, <0.10% wt. Note that polymers
           are sometimes used exactly because of their water            λ     2  2
                                                                    d =    n − sin φ         (5.2)
           absorption: a capacitive humidity sensor measures the        2
           change in the dielectric constant due to water absorption
           in the polymer dielectric. Parylene (poly-para-xylylene)  where φ is the angle of the incident laser beam and
           is a versatile material that is strong enough mechanically  λ, its wavelength. Measurement at two incident angles
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                                                             ◦
           so that released, free-standing structural parts can be  (e.g., 50 and 70 ) gives additional information, and
           made out of it. Parylene and CYTOP are exceptional  period matching from the two measurements can give
           polymers because they can tolerate KOH etching.  thickness of layers. When film thickness is over 1 µm,
           Parylene is deposited by CVD, whereas most other  ellipsometry becomes difficult.
           polymers are spin-coated.                     Ellipsometry needs a fairly large area for measure-
             Polyimides offer some special properties: some  ment, for example, 100 × 100 µm, while reflectometer
           formulations are photopatternable like resists, and form  spots can be as small as a few micrometres, which
           permanent parts in finished devices. Some imides  enables measurement from the structures themselves,
           (PI2610) have coefficients of thermal expansion ca.  without a dedicated test site. The easiest and quick-
           3 ppm, close to silicon in the plane of the wafer, but  est way to gauge thickness is from interference colours
                    ◦
           ca. 20 ppm/ C perpendicular to the surface. Thermal  (Tables 5.6 and 5.7). The accuracy of this approach is
           conductivities of imides are in the range 0.1 to 0.2 W/m  ca. 10 nm, but the colours repeat at regular intervals,
           K, an order of magnitude higher than that of silicon  and absolute thickness determination requires additional
           dioxide, but similar to that of silicon nitride.  information.
             Tensile strengths of polymers are in the range of 100
           to 400 MPa, and Young’s moduli of the order of 1 to  Table 5.6  Colour chart for Si 3 N 4 under
           10 GPa, compared with 50 to 500 GPa for inorganic  tungsten filament illumination
           solids and elemental metals. Stresses in polymers are
           inherently low, <100 MPa, whereas stress minimization  0–20 nm       Silicon
           in oxides and nitrides is quite a challenge. In addition to  20–40 nm  Brown
           normal process variation, polymer properties vary from  40–55 nm     Golden brown
           manufacturer to manufacturer, and the above values are  55–73 nm     Red
           guidelines only.                                  73–77 nm           Deep blue
                                                             77–93 nm           Blue
                                                             93–100 nm          Pale blue
           5.9.4 Measurements for dielectric films            100–110 nm         Very pale blue
                                                             110–120 nm         Silicon
           Thickness and refractive index are basic measurements  120–130 nm    Light yellow
           for lossless dielectric films. Optical methods are accu-  130–150 nm  Yellow
           rate, quick, non-contact and suitable for both research  150–180 nm  Orange red
           and manufacturing control applications. Accuracy of  180–190 nm      Red
           measurement is a fraction of a nanometre for both ellip-  190–210 nm  Dark red
           sometry and reflectometry.                         210–230 nm         Blue
             Reflectometry assumes a known index of refraction,  230–250 nm      Blue–green
           but measures real thickness by fitting reflections over  250–280 nm    Light green
           a wide wavelength range to d-n f model. Thicknesses  280–300 nm      Orange yellow
           from 10 nm to 50 µm can be measured, depending on  300–330 nm        Red
           equipment and algorithm.                          Source: Reizman, F. & W. van Gelder: Optical
             Ellipsometry measures thickness and refractive index  thickness measurement of SiO 2 –Si 3 N 4 films on
           in a single measurement because both the amplitude  silicon, Solid-State Electron., 10 (1967), 625.
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