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FUNDAMENTALS                            CH. 5 CHARACTERIZATION METHODS FOR NANOSTRUCTURE OF MATERIALS
                  As seen in clay materials and activated carbons, hys-  permeation properties are of importance. Depending
                  teresis loop of type H3 and H4 often closes at the rel-  on the wettability the porous material is immersed
                  ative pressure of 0.40–0.45.  As given in detail by  either in freon or water. Pressurized air or nitrogen is
                  literature [13, 14], this closure of hysteresis will result  then introduced to one side of the material. At a pres-
                  from the spinodal evaporation of condensed liquid  sure that corresponds to the maximum size of the per-
                  when exceeding its tensile limit, which is determined  forating pore, the gas starts to permeate. Other than
                  not by the pore size but merely by the nature of liquid.  the detection of maximum pore, the size distribution
                  This phenomenon should be considered when one  can be estimated applying higher pressures, because
                  uses the desorption branch for characterization.  smaller pores start to open with increased pressure.
                                                                 Detectable pore size is usually above several tens of
                                                                 nm with freon, or a few hundred nm for water.
                  5.4.4 Other methods of interest
                                                                   5.4.4.3 Thermoporometry (freezing point depression
                    5.4.4.1 Mercury porosimetry (mercury intrusion
                                                                   method)
                    method)
                                                                 Based upon the Gibbs–Thomson equation, which
                  An evacuated sample is immersed in mercury, and
                  pressurization of the system gives mercury’s intrusion  suggests that the freezing point depression in a pore
                  into the pore space. The detection and analysis of the  from the freezing point in bulk phase is inversely pro-
                  intruded volume against applied pressure gives the  portional to the pore radius, the size distribution is
                  pore size distribution since the pore volume directly  estimated from calorimetric measurement. It is some-
                  equals that of the intruded mercury. Many automated  times the case that the pore structure when wetted
                  apparatuses are commercially available. The method  varies after drying because of capillary suction pres-
                  is suitable for macropore or mesopores above tens of  sure or de-swelling of the base material.  The gas
                  nanometers.                                    adsorption or mercury porosimetry cannot character-
                    Many of automated porosimetry apparatuses    ize such porous materials because both method need
                  declare the lower limit of the pore size to be 3–4 nm,  evacuation before measurements. This method may be
                  which corresponds to the applied pressure of ca.  used to overcome the above problem: the measure-
                  4,000 atm. At this level of high pressure, the porous  ment goes as wetted. However, not much has been
                  framework might be deformed or some other influ-  clarified for the freezing behavior in confined space.
                  ence may occur. It is also pointed out that the surface  Recent study, e.g., has clarified that the freezing point
                  of mercury in a single-nanometer range may be dif-  may even get higher than the bulk, depending on the
                  ferent from surface of bulk liquid, which may results  physico-chemical nature of pore walls. The method is
                  in a hindered contact angle. Much attention, then,  thus especially controversial if single-nanometer
                  should be paid on the reliability of the data in this  range is concerned, and it would be better not to be
                  range, for which the gas adsorption method has far  relied on for smaller size of nanopores.
                  superior accuracy and reliability. The upper limit of
                  the mercury porosimetry would be around several  5.4.4.4 Small angle X-ray scattering (SAXS)
                  hundred of microns:  The detection of cracks or  The X-ray scattering with angles smaller than 10°
                  supermacro pores, which is difficult to be measured  can probe porous characteristics in single-nanome-
                  by gas adsorption, is precisely done by the intrusion  ter range. Since X-ray can detect not only open
                  method.                                        pores but also closed (or isolated) pores, measure-
                    The extrusion process by decreasing the pressure  ments for low-permittivity materials are typical
                  generally gives different path from that for the intru-  examples of application. One has to be, however,
                  sion process, or hysteresis. Further, it would be almost  careful upon interpretation of the data, because the
                  always the case that a certain amount of mercury  resulting space distribution or correlation length
                  remains in pores even after complete release of the  does not necessarily mean the scale of pores but has
                  pressure. The extrusion process, therefore, is not suit-  resulted from the electron density distribution.
                  able for analysis, and the intrusion branch is used in  Further, while an ordered material such as MCM-41
                  general. The intrusion of non-wetting process corre-  would give quite clear signals showing its lattice
                  sponds to the desorption branch in gas adsorption,  size or the periodicity of the regular pores, not much
                  and then one should notice that the analysis gives the  sensitivity can be expected for materials with disor-
                  neck size for aggregated or sintered bodies.   dered or random nature, which needs a rather com-
                                                                 plicated analysis for gradually decreasing scattering
                    5.4.4.2 Bubble-point method                  intensity. From the Guinier plot, e.g., one would be
                  This technique detects perforating pores while the gas  able to obtain the averaged radius of scattering
                  adsorption method and mercury porosimetry cannot  body, but it may not necessarily be related with the
                  distinguish those from dead-end pores. Because of  pore size itself. One should understand that SAXS
                  this feature the method is often applied to filters,  has only low quantitative precision when applied to
                  membranes, cloths, or those porous materials whose  nanopore characterization.

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