Equation effective diameters from

Effective Diameters from a Pure Component Equation of State... 

The reduced density of 1.6 is considered to be the upper limit of the validity of Equation 36. At densities higher than this 8 and a2 decrease rapidly and a2 itself eventually becomes positive, interpreted as its domination by positive soft-repulsion effects. Diameters from Equation 36 give poor results in this region. There is no way that these soft effects can be separated from attraction effects and the optimal diameter cannot be calculated. 

Here m is the mass of a molecule with an effective diameter of mean speed of c (which of course is also a function of mass). This equation was first derived by Maxwell in 1860. We can immediately see the importance of the nature of the molecules through their mass and through the effective diameter, which is not just a geometric size but includes a contribution from the interaction with its neighbours. 

Presented experimental data reveal that for CdSe/ZnS quantum dots with two ZnS monolayers values follow a monotonous function drastically decaying with the QD core diameter. From the physico-chemical point of view, we conjecture that upon interaction of P with QD surface, the electron wave function may be locally modified (via inductive and/or mesomeric effects [9]) forming a surface local state capable to trap the electron of the photogenerated exciton (Fig. 2A). Thus, we will consider the behaviour of the electron wave function at the interface to the functional pyridyl group of the attached porphyrin. The single-carrier envelope wave functions y/a in a spherical core/shell QD are determined by the Schrodinger equation... 

Kielland has estimated values of x for numerous ions from a variety of experimental data. His best values for effective diameters are given in Table 10-2. Also presented are activity coefficients calculated from Equation iO-5 using these values for the size parameter. 

These effects stem from thermodynamic principles. If in a separation with a given purity requirement the peak resolution is not high enough due to these effects there is no way to overcome this problem by increasing column efficiency, which means optimizing the fluid-dynamic term of the resolution equation (Eq. 2.33). If a tag-along effect occurs the use of a smaller particle diameter has no effect, as long as the... 

When the molecular Interaction Is strong, as Is the case of ionomers in DMF, a virial expansion is not sufficient to describe the interference effect. We use a simple effective potential model with an effective diameter. This model, which treats the macroions (lonomers) as if they were neutral but have an effective size, was originally used by Doty and Steiner (231 to analyze light scattering data from protein solutions. The equation obtained is... 

It is not possible to assess the effect of the substrate surface independently however, the powder can be characterized with respect to effective size by means of a simple sieve analysis that can be used to get a cumulative size distribution. If the total fraction that passes each size sieve is plotted against the sieve opening on normal probability paper, the mean weight-diameter from the 50% point is obtained and the standard deviation from the sizes corresponding to the 13% and/or 83% diameter. The effective (surface mean) particle diameter can then be calculated by means of the equation given by Orr and Dallavalle [66] ... 

Equation (5.16) is the Hagen-Poiseuille equation. One of its uses is in the experimental measurement of viscosity, by measuring the pressure drop and volmnetric flow rate through a tube of known length and diameter. From the flow rate V is calculated by Eq. (4.4) and p is calculated by Eq. (5.16), In practice, corrections for kinetic-energy and entrance effects are necessary. 

Fourth, for all three screens and each room temperature liquid, the bubble point pressure is accurately linear with j lv cos 6c for each liquid. The effective pore ditimeter Dp, computed from Equation (3.20) was consistent with the effective diameter estimated from SEM images of the weaves for the two coarser screens. However, for the 510 x 3600 weave Dp, SEM = 9.95 0.05 im while Dp = 15.77 0.32 [im. It may be that the contribution of the pore structure of the weave to F(cos 9c, Dp) can be sharpened. 

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