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                                                 PHYSICAL VAPOR DEPOSITION

                   13.4  WAFER PROCESSING

                                                                         Pb    Al
                                                            Cd
                                                                                  Cr
                                              10 +3                                    Ti

                                            Pressure/Pa  10 −1                         Ta W





                                              10 −5

                                                 0       1000          2000         3000
                                                                Temperature/K
                                           FIGURE 13.4  Equilibrium vapor pressures of selected metals for vacuum
                                           evaporation. 2




                               backscattering of source vapor particles. In practice, process pressures are set between 10  −2  and
                                 −4
                               10 Pa. The evaporation rate R can be described as
                                                                    M  12 /
                                                            .
                                                        R = 443 ⋅10  −4  p [g/cm  2 ]
                                                                    T   s
                               where M is the molecular weight and T is the absolute temperature. Examples of evaporation rates
                               for common source materials can be found in Fig. 13.5.
                                 During the transport phase, the mean kinetic energy of the particles is

                                                             E =  m  n  2  =  3  kT
                                                              e
                                                                 2    2  n
                               where m is the particle mass, k is the Boltzmann constant, T is the source temperature, and v is the
                                                                           v
                               particle velocity.
                                 E typically amounts to about 0.2 eV at 1500 K (0.26 eV at 2000 K), i.e., the energy of the par-
                                  e
                               ticles is small compared to sputtering, as we will see later. Also, variation in evaporation tempera-
                               ture allows for little variation in particle energy.
                                 The condensation stage consists of three steps:
                               1. Vapor particles deposit on the substrate surface, thereby transferring kinetic energy to the sub-
                                 strate (adsorbtion).
                               2. Surface diffusion of the particles occurs with subsequent exchange of energy with the lattice
                                 atoms until the particle (atom) settles in a spot of low energy (nucleation/seed). Surface defects
                                 are preferred locations for nucleation; the growth of domains leads to continuous layers and the
                                 layer growth depends highly on the substrate surface and deposition conditions.
                               3. Volume diffusion of atoms within the lattice.
                                 The surface structure resulting from the evaporation deposition is typically distinguished into
                               three types or zones depending on the ratio of the substrate temperature T to the target melting
                                                                                       s
                               temperature T (Fig. 13.6).
                                         m

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