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CMP: Chemical–Mechanical Polishing 167



           consumption in the process (cf. etching in buffered HF).
           At the end of CMP, a soft polishing step is often done:  Direct  Mixed  Hydrodynamic
           no slurry is used, just water. This step does not remove
           solid material but is effective in washing away abrasive
           particles and corrosive chemicals.
             CMP tool input variables include the following:  Friction


              – platen rotation        10–100 rpm
              – velocity               10–100 cm/s
              – applied pressure (load)  10–50 kPa
              – slurry supply rate     50–500 ml/min                     Log velocity
                                                       Figure 16.4 Stribeck diagram of CMP: three different
           Pad type, compressibility, hardness and elastic modulus,  lubrication modes
           conditioning, pore size and ageing can be considered
           variables too. Because there is a chemical component  the slurry. Polish rate is very high. In the rolling
           in CMP, temperature will have an effect on polish-  contact mode (mixed lubrication mode), slurry particles
           ing results.                                occasionally roll on the wafer surface. In the non-
             CMP process factors resemble those encountered  contact mode (hydrodynamic lubrication mode), slurry
           in etching:                                 particles are accelerated hydrodynamically and they
                                                       impart energy to the wafer surface, weakening the
           – polish rate                               surface so that chemical attack can occur. Hydrodynamic
           – selectivity                               lubrication takes place at high velocities at which the
           – overpolish time                           load is borne by the fluid, and the system is well
           – pattern density effects                   lubricated. Friction force between the pad and the wafer
           – uniformity across wafer                   is very different in these modes and it is classified in a
           – wafer-to-wafer repeatability.             Stribeck diagram (Figure 16.4).
                                                         The penetration of the abrasive particles into the
           Plasma etching and CMP resemble each other also  substrate is very small indeed: this is the reason for
           in the sense that both depend on interaction between  smooth surfaces with no visible grooves or scratches.
           chemical and physical processes: in etching, ion bom-  Penetration depth is given by
           bardment removes reaction products from surface; in
           CMP, mechanical abrasion removes surface layers that    R s = (3/4)d(P/2kE) 2/3  (16.1)
           have been modified chemically, for instance, by oxida-
           tive slurries.                              where d is the abrasive particle diameter (e.g., 100 nm),
             Polish rate can be limited by transport of reactants,  k is the filling factor of abrasive particles (for instance,
           or by surface processes, just like etching. This can be  50%), P is the local pressure (not down force, which is
           found out by varying the input variables: if the rate  10–50 kPa) and E is Young’s modulus of the surface
           is unaffected by change in a variable, it cannot be  being polished. Penetration depths are of the order of
           the rate-controlling factor. Another similarity is pattern  nanometres, which is similar to surface roughness after
           dependency: small pattern density leads to higher rates.  polishing, as would be expected. Increasing pressure will
           Pattern size effect is, however, opposite: in CMP,  lead to deeper penetration but also to higher removal
           small patterns are polished faster, but, in etching, small  rate. Sometimes, the abrasive particles agglomerate into
           patterns will be etched slower than large ones. This will  huge chunks, and this leads to much larger penetration
           be discussed in Chapter 20.                 depths and will result in microscratches that are tens of
                                                       nanometres deep.
           16.2 MECHANICS OF CMP
                                                       16.2.1 Preston model
           There are three modes in polishing, depending on the
           degree of contact between the pad and the wafer. In  Polish rates have been measured experimentally by
           the direct contact (boundary lubrication) mode, the pad  Preston (in 1927) to obey the following equation:
           makes contact with the wafer, resulting in high and
           constant friction because there is no lubrication from  R =  H/ t = K p P ( s/ t)  (16.2)
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