Goal definition generally

The generally accepted definition of micronization is the size reduction of particles down to 1-30 m in diameter. Although it is possible to use some of the previously discussed equipment to reduce the particle size distribution of a product down to this range they are not ideally suited to the application as the distribution curve can be fairly wide spread and possibly even bimodal where as a tight PSD and single node curve is the goal of most manufacturers (Fig. 21). The equipment commonly used are pin mills, hammermills, fine grind, and jet mills. 

The solid/gas interface was traditionally studied with respect to adsorption and catalysis. Here the assertion that the Bronsted definition of acidity is a particular case of the Lewis definition is neither obvious nor even helpful. It suffices to say that many reactions in heterogeneous catalysis require specifically the presence of either Bronsted or Lewis acidic (or basic) sites, and the reaction mechanisms depend on the nature of the surface site. A long-term goal of surface studies for the characterization of solid catalysts was to distinguish and quantify the number of Bronsted or Lewis sites with potential catalytic activity for gas-phase reactants. For that reason, when discussing the acid-base behavior of solid surfaces, it is no longer possible, nor desirable, to adopt the viewpoint that subsumes Bronsted acid-base properties in the more general Lewis definition. 

The definition above is a particularly restrictive description of a nanocrystal, and necessarily limits die focus of diis brief review to studies of nanocrystals which are of relevance to chemical physics. Many nanoparticles, particularly oxides, prepared dirough die sol-gel niediod are not included in diis discussion as dieir internal stmcture is amorjihous and hydrated. Neverdieless, diey are important nanoniaterials several textbooks deal widi dieir syndiesis and properties [4, 5]. The material science community has also contributed to die general area of nanocrystals however, for most of dieir applications it is not necessary to prepare fully isolated nanocrystals widi well defined surface chemistry. A good discussion of die goals and progress can be found in references [6, 7, 8 and 9]. Finally, diere is a rich history in gas-phase chemical physics of die study of clusters and size-dependent evaluations of dieir behaviour. This topic is not addressed here, but covered instead in chapter C1.1, Clusters and nanoscale stmctures, in diis same volume. 

Since the one-dimensional result for K is definitely correct, our approach will be to generalize Fano-Roman s[4, 5] derivation to the TV-dimensional case. This shall be our goal in the coming section. 

Elementary mechanical work forms were considered in Section 2.8. In the present section, we present a broader overview of the varieties of work that are commonly encountered in thermodynamic investigations. The goal is to introduce experimental techniques and operational terminology that underlie the definition and measurement of each work type. We also draw attention to formal patterns among the different forms of work that anticipate their unification with heat in a generalized energy-conservation principle. 

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