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1.4 PARTICLE DENSITY                                                         FUNDAMENTALS
                                                                 (4) Combined measurement of mass and volume
                    5000
                                                                 If the volume of a particle selected by an APM is
                                                                 measured directly with transmission electron
                                                                 microscopy (TEM), the density of the particle can be
                    4000
                    Particle count (-)  3000  Doubly charged particles  determined.  The material density of DEPs ranging
                                                                 from 50 to 220nm in mobility equivalent diameter
                                                                 was measured with this method [8]. It is reported that,
                                                                 after removing volatile components by heating
                    2000
                                                                 particles to 300ºC, the density was 1.77±0.07 g/cm
                                                                 irrespective of their mobility equivalent diameter.   3
                    1000
                                                                 (5) Combined measurement of mobility and aerodynamic
                                                                 diameter
                       0
                        0.0      0.1     0.2      0.3     0.4    The effective density of an individual particle can also
                                    Particle mass (fg)           be determined if both the mobility and the aerody-
                                                                 namic diameter are known. This can be achieved by
                  Figure 1.4.3                                   measuring the aerodynamic diameter of particles
                  Mass distribution spectrum for NaCl particles having  selected with a DMA. Traditionally, impactors have
                  mobility equivalent diameter of 50nm.          often been used to measure the aerodynamic diameter
                                                                 with this method [9, 10]. Recently, a time-of-flight
                                                                 type device has sometimes been employed instead of
                                                                 an impactor [11, 12]. The accuracy of the effective
                       2                                         density obtained with this method is generally much
                     1.8                                         higher than the accuracy obtained with the combined
                                                                 DMA and impactor method.
                     1.6
                    Effective density (g/cm 3 )  1.2 1  10% load  [1] R. Utsumi, in  Funtai kougaku binran  (Powder
                     1.4
                                                                                 References


                                                                     engineering handbook), 2nd ed., Nikkan Kougyo
                     0.8
                                                                     Shinbun, pp. 42–47 (1998) (in Japanese).
                     0.6
                     0.4     70% load                            [2] H. Yanagida, supervised: Engineering System for Fine
                           Lower density particles                   Particles, Vol. 1, Fujitec Co. (2001) (in Japanese).
                     0.2   in atmospheric aerosols               [3] JIS Z 8901: Test Powders and Test Particles, Japanese
                           (McMurry et al., 2002)
                       0                                             Standards Association (2006).
                       10               100              1000    [4] K. Ehara, K.J. Coakley and R.C. Hagwood: J. Aerosol
                              Mobility equivalent diameter (nm)
                                                                     Sci., 27, 217–234 (1996).
                                                                 [5] K. Park, F. Cao, D.B. Kittelson and P.H. McMurry:
                  Figure 1.4.4                                       Environ. Sci. Technol., 37, 577–583 (2003).
                  Size dependence of the effective density of diesel exhaust  [6] P.H. McMurry, X.  Wang, K. Park and K. Ehara:
                  particles, reconstructed from Park, K. et al., Environ. Sci.
                  Technol., 37 577-583 (2003).                       Aerosol Sci. Technol., 36, 227–238 (2002).
                                                                 [7] A.D. Maynard, B.K. Ku, M. Emery, M. Stolzenburg
                                                                     and P.H. McMurry:  J. Nanoparticle Res.,  9, 85–92
                  is smaller than the density of NaCl bulk crystal   (2007).
                          3
                  (2.2 g/cm ). The exact reason for this difference in  [8] K. Park, D.B. Kittelson, M.R. Zachariah and P.H.
                  density is not yet known, but it might be due to the  McMurry: J. Nanoparticle Res., 6, 267-272 (2004).
                  dynamic shape factor of non-spherical NaCl particles.   [9] W.P. Kelly, P.H. McMurry: Aerosol Sci. Technol., 17,
                    By varying the mobility of particles classified by  199–212 (1992).
                  the DMA,  d -dependence of    can also be deter-  [10] S.V. Hering, M.R. Stolzenburg: Aerosol Sci. Technol.,
                                            e
                            b
                  mined. Fig. 1.4.4 shows the effective density of   23, 155–173 (1995).
                  diesel exhaust particles (DEPs) with mobility equiv-
                  alent diameter ranging from 50 to 300nm, measured  [11] P. DeCarlo, J.G. Slowik, D.R. Worsnop, P. Davidovits
                  with this method [5]. The influence of the engine  and J.L. Jimenez:  J. Aerosol Sci.,  38, 1185–1205
                  load on the effective density of DEPs is observed in  (2004).
                  Fig. 1.4.4. The same method has also been applied to  [12] A. Zelenyuk, Y. Cai, L. Chieffo and D. Imre: Aerosol
                  atmospheric aerosols [6] and carbon nanotubes [7].   Sci. Technol., 39, 972–986 (2005).

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