Page 270 - Book Hosokawa Nanoparticle Technology Handbook
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4.5 STRUCTURE CONTROL OF NANOPARTICLE COLLECTIVES BY SINTERING AND BONDING   FUNDAMENTALS
                                                                 pressure sintering, 
, is expressed by the following
                                                                 equation:

                                                                               
    
      appl        (4.5.6)
                                                                                    sinter
                                                                                           3
                                                                 where,   sinter , is sintering stress, and   appl  is unidirec-
                                                                 tional pressure stress applied.  The sintering rate is
                                                                 often evaluated using the following equation:

                                                                            dl     A  
  n  fd ()exp ⎛   Q⎞
                                                                            ldt   a  p      ⎜ ⎝  kT ⎠ ⎟  (4.5.7)

                                                                 where, dl/l is a coefficient of linear contraction, A a
                                                                 constant, a particle size, f(d) a function of density d,
                                                                 and Q apparent activation energy.
                                                                  For example, it is reported that n is 2.2– 2.6 (20
                                                                 MPa   100, 550   T C  750) in the case of TiO with
                                                                                                       2
                                                                 a particle size of 12 nm; n is 3 (5     MPa   50, T:
                                                                 1,400 C) in the case of ZrO with a particle size of
                                                                                        2
                                                                 25 nm [6]. The value of n is 1 for the sintering by dif-
                                                                 fusion. Accordingly, the value of  n larger than unity
                                                                 suggests that plastic flow of crystalline particles, such
                                                                 as sliding, occurs during the sintering process. For
                                                                 TiO , the value of  n is large, although the sintering
                                                                    2
                                                                 temperature is very low. This is a very interesting fea-
                                                                 ture of nanoparticles.
                                                                  Various techniques are available in the pressure sin-
                                                                 tering method; centrifugal sintering is introduced here,
                                                                 which has been developed recently [7]. Figure 4.5.37
                  Figure 4.5.36                                  shows the principle.  The centrifugal sintering is a
                  Distribution of aggregates.                    method to sinter materials under centrifugal force; the


                                      High speed rotating
                              Heater
                                                r r

                                                                                         Sample
                                                                                         holder



                                                                      Centrifugal
                                        Ceramic rotor                 acceleration
                                                                                 Compact
                              Specificatious of centrifugal
                                              nd
                              sintering apparatus (2  model)
                              Revolution : <10 000 min -1
                              Centrifugal acceleration temperature
                              Heating method : Induction heating
                              Temperature : <1000°C

                  Figure 4.5.37
                  Principal of centrifugal sintering.


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