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                                                 PHYSICAL VAPOR DEPOSITION

                   13.2  WAFER PROCESSING

                                                                 N V








                                                                               –          v
                                                                               v
                                                (a)                           (b)
                                           FIGURE 13.1  (a) Scattering and random walk of particles between collisions,
                                           and (b) Boltzmann distribution of mean particle velocities.


                               volume, mass m, and mean velocity v colliding with container walls:
                                                                p =  nmv  2
                                                                    3
                                 The gas molecule mean velocity v depends on the temperature and molecular mass. Assuming the
                               particle velocity distribution follows the Boltzmann distribution (Fig. 13.1), we obtain
                                                         8   kT  12 /
                                                    v =        k, Boltzmann constant
                                                     2
                                                          p m  
                                 The mean free path λ of molecules between collisions is therefore
                                                              l =   kT
                                                                  p ps  2  2

                               which approximates to
                                                                    .
                                                                l =  63
                                                                    p
                               in air.
                                 In order to obtain high-purity layers, it is imperative that the mean free path must be much larger than
                               the distance between the source and the substrate. The degree of contamination depends on the purity of
                               the source material as well as the reaction with the residual gas in the vacuum chamber. The smaller the
                               mean free path, the higher is the possibility of vapor particles colliding on their path between the source
                               and the substrate. In the case of reactively sputtered layers, like metal oxides and nitrides, one makes use
                               of this fact by initiating reactions of the vapor particles with the ambient gas (Fig. 13.2).


                   13.3 VACUUM EVAPORATION

                               Vacuum evaporation works on the principle of heating a source material in vacuum until a suffi-
                               cient vapor pressure for net evaporation of the source material is reached. The deposition process
                               (Fig. 13.3) includes three stages:
                               1. Evaporation of target material (evaporation phase)
                               2. Transport of particles through the vacuum to the substrate (transport phase)
                               3. Condensation on the substrate (condensation phase)


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