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By Maurice C. Fuerstenau, Kenneth N. Han

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Specifically, –x ≤ –x k,r k+i,r+j for i and j both Ն 0 (Eq. 43) Specific surface area, defined as the surface area per unit volume (Sv) or per unit mass (Sm), also represents an average (but inverse) size. The volume and mass specific surface areas are related through the equation Sv = ρSm (Eq. , per micrometer [µm–1]). The hybrid unit of square meters per cubic centimeter (m2/cm3) is numerically equal to units of per micrometer. For particles of uniform size, 2 k 23 k2 x Sv = ----------3- = -------x k3 x (Eq.

Suitable mixtures include collodion and amyl acetate, ethyl cellulose and toluene, Canada balsam and xylol, rubber and xylol, and polystyrene and xylene. Freeze-drying techniques have been successfully applied to the preparation of slides for evaluation by scanning electron microscopy (SEM). The powder is dispersed in water, and a drop of the suspension is placed on the slide. A glass cover is placed over the drop, which is then frozen, very rapidly, in liquid nitrogen. The cover is removed, and the ice is sublimed away under vacuum.

Mean sizes represent a group of averages defined by the moments of a size distribution. The kth moment of the size distribution qr(x) is defined by ∞ M k,r = ∫x k q r ( x ) dx (Eq. 41) 0 xk and represents the quantity averaged using the “r” distribution. For k = 1, 2, or 3 and using appropriate shape factors, the moments correspond to mean diameter, area, or volume, respectively. , particle volume averaged with respect to the number distribution. In this case, the moment represents the mean value of x3; the shape factor is necessary to convert to an actual volume.

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