Sizing parameter

SIZE PARAMETER 0-PRfME fOPI FOR MATER AND ALCOHOLS... 

ANGLE AVERAGING IS USED TO ACCOUNT FOR THE EFFECT OF POLARITY DUE TO A large DIPOLE ON THE ENERGY AND SIZE PARAMETERS. 

An alternative to obtaining 0 directly involves defining some more convenient shape-dependent function, and an early but still very practical method is the following. We define a shape-dependent quantity as S = dsldg, as indicated in Fig. 11-16, de is the equatorial diameter and ds is the diameter measured at a distance de up from the bottom of the drop. The hard-to-measure size parameter h in Eq. 11-17 is combined with 0 by defining the quantity H = -0(defb). Thus... 

Figure A2.3.16. Theoretical HNC osmotic coefTicients for a range of ion size parameters in the primitive model compared with experimental data for the osmotic coefficients of several 1-1 electrolytes at 25°C. The curves are labelled according to the assumed value of a+- = r+ + r-...

Both the intrinsic viscosity and GPC behavior of random coils are related to the radius of gyration as the appropriate size parameter. We shall see how the radius of gyration can be determined from solution viscosity data for these... 

The totally symmetrical sphere is characterized by a single size parameter its radius. Ellipsoids of revolution are used to approximate the shape of unsymmetrical bodies. Ellipsoids of revolution are characterized by two size parameters. 

To use the proportionality between rg and n in this section, we have stipulated unperturbed dimensions-in the sense of item (2)-as indicated by the subscript 0 on the various size parameters. 

The choice of parameter used in the determination of size distribution should include consideration of the information needed in the interpretation of the data. For example, in the case of a manufacturer of paint pigment, the size parameter that best describes the hiding power (performance of the pigment) is the projected area of particles. A powdered catalyst manufacturer is primarily concerned with surface-area equivalence. 

Published Cost Correla.tions. Purchased cost of an equipment item, ie, fob at seller s site or other base point, is correlated as a function of one or more equipment—size parameters. A size parameter is some elementary measure of the size or capacity, such as the heat-transfer area for a heat exchanger (see HeaT-EXCHANGETECHNOLOGy). Historically the cost—size correlations were graphical log—log plots, but the use of arbitrary equation forms for correlation has become quite common. If cost—size equations are used in computer databases, some limit logic must be included so that the equation is not used outside of the appHcable size range. 

The question of the actual form of the relation between toughness and crack speed is still rather unclear. It is tempting to relate 4> V) to the imaginary part of the elastic modulus, but the size parameter required to relate V to a time or... 

Figure 7.9 EJfect of mean residence time on mean crystal size parameter i = hjg, the relative nucleation to growth order index)...

Scott derived corresponding results for the special case Xi—Xi — I) i.e., Vi = V2. Tompa has carried out a more general treatment for unrestricted values of the size parameters, with results which coincide with Eq. (17), when expressed in the present notation. 

Since the parameter Rg is known to be a basic SEC size parameter for random-coil type molecules (Equation 4), and since it is also a well-defined statistical average size parameter, applicable to solutes of any shape including the sphere and rodlike molecules, Rg has been chosen in this work to serve as a common, reduced, solute-size parameter for describing the theory of SEC separation. By definition ... 

The composite plots of the theoretical Kg curves (Equations 2, 3 and 4) for the three solute shapei ) in terms of the common reduced size parameter Rg (Equations 5/ 6, and 7) are shown in Figure 2. This plot shows that on an basis all solutes of different conformations should behave very similarly in an SEC experiment. (This result is consistent with the universal SEC calibration concept... 

By this method the step-size parameter p is taken equal to 1 and the search vector is obtained from... 

S = characteristic size parameter, in the units given in Table 6.2,... 

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