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               280                                                                                        Aerosols


               metastable liquid state. For example, sodium chloride has  erties. Scattered light is affected by the morphology and
               been observed to exist as a relatively stable subcooled liq-  optical properties of the particle and the distribution of
               uid at room temperature, hundreds of degrees below the  optically active molecules within it. The light scattered
               melting point of crystalline sodium chloride.     and its angular distribution are quite different from those
                 Another example of an extrinsic deviation was found  found when the molecules are distributed within the same
               by examining absorption spectra from freshly formed  material in bulk.
                                                     ˚
               aerosols composed of iron carbonyl, 30–200 A in size.
               Among the spectra were some corresponding to excited
                                                                   1. Cohesive and Adhesive Forces
               states of carbon monoxide, as well as bands that were pos-
               sibly associated with a molecular oxygen transition. The  Particles in dusts or powders tend to stick together remark-
               oxygen excitation had energy levels of 7–9 eV, suggest-  ably well. The suspension of powders depends critically
               ing that the excitation was not due to chemical reactions  on the agglomeration characteristics. Once suspended, the
               or incident photons only. It is possible that the spectral  capability of particles to agglomerate after collision also
               absorption was also related to gas molecules adsorbed on  depends on the attractive forces of interaction after con-
               the iron surface or to large surface energy of the small  tact. It is difficult to break up aggregates of particles to
               particles. When the small particles coagulate or surface  produce clouds of nonagglomerated material. The capac-
               crystallites are relocated, a large amount of energy may  ity of particles to stick together indiscriminately is the re-
               be released and transferred to gas molecules adsorbed on  sult of weak attractive forces between molecules as well as
               the particle surface. In this way, certain high excitation  bipolar electrostatic forces. These forces have been named
               levels may be populated in a manner differing from that  cohesive and adhesive, depending on the heterogeneity of
               predicted by thermal equilibrium.                 material at the boundary between particles. The distinc-
                 Other types of extrinsic deviation are found in the spe-  tion between cohesion and adhesion in the literature on
               cial properties imparted to small particles by the manner  fine powders is somewhat fuzzy, but we shall adopt the
               of their preparation. For example, production of small par-  following conventions, which are consistent with classical
               ticles by grinding in a mill alters the heat of adsorption of  definitions in physics. Cohesion is the tendency for parts
               gases by the particles. In general, the method of particle  of a body of like composition to hold together. This im-
               production may introduce defects or microscopic impuri-  plies that cohesive forces arise between like molecules in a
               ties that differ from what is found in the parent material.  solid or between small particles of the same composition.
               Often extrinsic and intrinsic deviations occur in the same  Adhesion, on the other hand, refers to attraction across the
               physical property, as in the example of supercooling of  boundary or interface between two dissimilar materials.
               sodium chloride cited above. This fact makes the study of  Thus, adhesive forces are likely to be the most common
               intrinsic deviations very difficult.               attractive forces in all but artificially generated aerosols.
                 Intrinsic deviations are perhaps most widely known
               through the effect of the radius of curvature of small par-
                                                                 B. Particle Size Distribution
               ticles on many physical properties such as vapor pressure,
               freezing point, surface tension, heat of evaporation, and  In practice, aerosols in nature and in technology cover a
               others. Intrinsic deviations not directly associated with the  broader size range than called for by their rigorous scien-
               radius of curvature have been observed by X-ray crystal-  tificdefinition. Normally, the range of interest is less than
               lographic studies of very small crystallites with radii less  100 µm in diameter, extending to molecular dimensions.
               than 0.01 µm. In these studies, the lattice spacings ob-  A summary of particle dispersoids, methods of measure-
               served in the small crystallites differed significantly from  ment, gas cleaning equipment, and mechanical parame-
               the lattice spacings observed for the bulk state of the parent  ters is given in Fig. 1. A striking and important feature
               material. The effect of such alterations on various physi-  of aerosols is illustrated in the figure. Particles range over
               cal properties has not been studied. In general, one expects  five orders of magnitude in size. By analogy, this roughly
               that for particles of radius less than ∼0.01 µm, intrinsic  corresponds to a domain from sand grains to tall build-
               deviations of this sort must occur; however, it has been  ings in a city. Thus, the microscopic world of fine-particle
               obviously very difficult to observe such deviations ex-  suspensions should be as diverse and rich as our everyday
               perimentally. Only recently has substantial progress been  macroscopic environment. This range poses major chal-
               made in characterizing unique properties associated with  lenges to the scientist for developing theory, for measure-
               the nanoparticle regime.                          ment, and for mechanical production and removal.
                 Another type of intrinsic property is derived from the  The theory of particle clouds proceeds from consid-
               theory of light scattering in particles. The phenomenon  eration of the dynamics of the particle size distribution
               of Raman and fluorescent scattering from molecules sus-  function or its integral moments. This distribution can take
               pended in small dielectric particles exemplifies such prop-  two forms. The first is a discrete function in which particle
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