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6.8 CATALYTIC PROPERTY                                                       FUNDAMENTALS
                  The optical fiber (e) with photonic crystal structure can  about 400 Mpa, which corresponds to about 0.003  m
                  guide light efficiently along the central core. Silica  of the diameter of the pore. The relation between the
                  fibers and glass capillaries were bundled by wire draw-  pressure and the volume of intruded mercury can be
                  ing at high temperature. Diamond type photonic crys-  converted into that of pore size and pore volume.
                  tals (f) composed of  TiO , SiO or Al O can be  Over 90  of the contact angle between a sample and
                                                   2
                                                     3
                                        2
                                             2
                  fabricated by using stereolithograpy and successive sin-  mercury is necessary as a precondition. Pore size dis-
                  tering process. The wider perfect band gap is obtained  tribution of a material cannot be measured if the pre-
                  in microwave and terahertz wave frequency ranges.   condition would not be satisfied. Porosimetry without
                                                                 mercury is possible if the combination of a porous
                                                                 sample and liquid pressure media satisfy the precon-
                                   References                    dition in which the contact angle of the pressure
                                                                 media on the sample is larger than 90 . However, no
                  [1] K. Otaka: Phys. Rev. B, 19, 5057–5067 (1979).
                                                                 porosimetry technique is achieved through other
                  [2] E. Yablonovitch:  Phys. Rev. Lett.,  58, 2059–2062
                                                                 liquid pressure media than mercury for practical use.
                     (1987).
                                                                 On the other hand, for the case of some porous mate-
                  [3] K.H. Ho, C.T. Chan and C.M. Soukoulis:  Phys. Rev.  rials which have a mechanically weak framework,
                     Lett., 65, 3152–3155 (1990).                porous material itself is consolidated by the crum-
                                                                 pling up of its framework under the pressure at which
                                                                 mercury is intruded into its pores. In that case, meas-
                  6.8 Catalytic property
                                                                 ured data shows only the information of the consoli-
                                                                 dation of the sample. Pore distribution of the sample
                  This chapter explains catalytic property of nanoparti-  cannot be measured. When data show no distinctive
                  cle. The evaluation of catalytic properties is classified  peak and show intrusion in increments in a wide pres-
                  mainly into following three kinds. They are physical  sure range, there is a possibility of consolidation of
                  property, chemical property and testing method of  the sample. In such a case, pore distribution measure-
                  catalytic activity.  The physical properties are, for  ment must be done not only in the direction of pres-
                  example, particle morphology or microstructure;  sure increase but also in the direction of pressure
                  chemical properties are for example density or qual-  decrease and must be done for two or more cycles. If
                  ity of active site. Each evaluation technique is  consolidation happens, the tendency of incremental
                  explained as follows.                          intrusion does not happen after second cycle meas-
                    Crystal structure, crystal morphology and pore size  urements. If the data shows real intrusion, the ten-
                  distribution are enumerated as physical properties.  dency of incremental intrusion is observed even after
                  The crystal structure is evaluated by powder X-ray  second cycle measurements reproducibly.  Tubular
                  diffraction method, and crystal morphology is ana-  type pore-morphology model in which one end is
                  lyzed by HR-TEM (High Resolution  Transmission  open and another end is closed is used as standard in
                  Electron Microscopy). However, they are not touched  mercury porosimetry. When hysteresis behavior exists
                  in this chapter because there are many established  in the pressure increase side and the pressure decrease
                  textbooks. In the physical properties, pore size distri-  side, even though, the measurement is normally done,
                  bution especially affects diffusivity of reactant, heat  the sample would have ink-bottle-type pore structure
                  resistance and reaction selectivity. For the effective  in which inner-size of the pores are larger than their
                  catalytic reaction, reactant has to come at active site  entrance. Specific surface area of the sample also can
                  promptly and reaction product has to eliminate from  be estimated in mercury porosimetry by using the
                  there promptly, too. For the evaluation of the reaction  tubular type pore-morphology model.
                  efficiency, diffusivity of gas molecule must be meas-  In the case to measure pore size distribution in the
                  ured, however, no effective method has been estab-  size range smaller than 0.003  m, or the case to meas-
                  lished to evaluate diffusivity of them. Therefore, the  ure that of the material which has too weak framework
                  evaluation of the pore size distribution of a catalyst is  to be measured by mercury porosimetry, gas adsorp-
                  necessary, because the pores would act as the route of  tion method is available. The pore size is estimated by
                  the diffusion of reactant and product.         hysteresis behavior in the adsorption isotherm of
                    Pore size distribution can be measured by mercury  adsorption and desorption of gas molecule. Pore size
                  porosimetry in the range of several hundred microm-  and pore volume are calculated with the Kelvin equa-
                  eters to 0.003 m [1].  The procedure of mercury  tion based on volume of the gas molecules which is
                  porosimetry is as follows. Air in the pores of the sam-  condensed by the capillary condensation effect [2].
                  ple is evacuated by vacuum pump. Then, mercury is  Physical adsorption method of nitrogen molecule at
                  injected into a sample cell. Then pressure is added lit-  the boiling point of liquid nitrogen is being used gen-
                  tle by little on the injected mercury, and simultane-  erally. BJH (Brrett, Joyner, Halenda) method is one of
                  ously the volume of mercury which is intruded in the  the analysis methods using the capillary condensation
                  pores is measured. The higher pressure corresponds to  theory. There are some analysis methods which have a
                  the smaller pore size. The highest available pressure is  difference in estimating the thickness of adsorbed gas

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