Physical interpretation parameters

PAYER, F.J. "An Approximate Model With Physically Interpretable Parameters for Representing Miscible Viscous Fingering", SPE 13166, Houston, Sept. 1984... 

Fayers, F. J. (1984) An approximate model with physically interpretable parameters for representing miscible viscous fingering. SPE 13166, Proceedings of the SPE Annual Fall Conference, Houston, TX, 16-19 September 1984. 

To meet the point that the amount of resonance interaction in the transition state will be dependent upon the nature of the electrophile, Yukawa and Tsuno have put forward a modified equation with three parameters. The physical interpretation of such an equation is interesting, but it is not surprising that it correlates experimental data better than does the equation with two parameters. ... 

The calculated energy differences give a good correlation with The p parameter (p = —17) is larger than that observed experimentally for proton exchange (p — 8). A physical interpretation of this is that the theoretical results pertain to the gas phase, where... 

Zsako [519] accepts certain points in Gam s reappraisal of compensation behaviour but stresses that the existence of a linear relation between log A and E is a more general characteristic. Thus, while a physical interpretation for obedience to eqn. (21) cannot at present be provided, the relationship provides parameters which are useful in describing the reactivities of groups of related rate processes. 

It is particularly convenient to choose the reference conditions at which the volumetric flow rate is measured as the temperature and pressure prevailing at the reactor inlet, because this choice leads to a convenient physical interpretation of the parameters and CA0 and, in many cases, one finds that the latter quantity cancels a similar term appearing in the reaction rate expression. Unless otherwise specified, this choice of reference conditions is used throughout the remainder of this text. For constant density systems and this choice of reference conditions, the space time t then becomes numerically equal to the average residence time of the fluid in the reactor. 

PeL can be used in place of Dh as the single parameter of the axial dispersion model. The physical interpretation of PeL is that it represents the ratio of the convective flux to fee diffusive (disposed) flux ... 

Here, A and v 2 are fitting parameters amenable to physical interpretation using Equation 12.11. The point of present concern is that the isotope effect on polarizability can now be expressed in terms of isotopic differences in refractive index. It follows from Equation 12.14 that a plot of AR/R = [6n2/((n2—l)(n2 + 2))][An/n] vs. v2 gives an approximately straight line,... 

These are semi-empirical equations of state that are formulated to describe experimental data accurately, instead of conforming to theoretical descriptions of molecular behavior, and each parameter does not necessarily have a physical interpretation. 

By measuring the temperature dependence of kex, activation parameters (Aff and AS ) could be calculated and were reported. However, I am not sure how to physically interpret these numbers. The temperature dependence of rate can be fit to other expressions, and here it is fit to the Marcus equation for nonadiabatic electron transfer in the case of degenerate electron transfer (e.g., AG° = 0)... 

This relation gives a physical interpretation for the parameter cr a 1/2 equals the average length of a helical sequence in a sufficiently long chain at the midpoint of a helix-coil transition. Thus, as a becomes smaller, the helical portion of such a chain consists, on the statistical average, of a smaller number of sequences. 

Thus the independent variable in the BET theory is the pressure relative to the saturation pressure. Therefore the BET equation describes the volume of gas adsorbed at different values of p/p0 in terms of two parameters Vm and c. Furthermore, the model supplies a physical interpretation to these two parameters. 

NR and — CO groups, measured after prior washing of the resin with water 85), was well represented by a Langmuir + Nernst dual mode sorption model at salt concentrations not exceeding 0.2 mol dm 3. A detailed physical interpretation of the relevant parameters was not given, however, neither was the dual mode concept utilized in a corresponding diffusion study 86). 

Since in hardness tests we can determine not only the strength of materials but also many other physical-chemical parameters, these tests should have as high a precision as possible. To this end, data on brittleness should enable correct interpretation of hardness results. For example, as borne out by the tests conducted by Mikhayluk (1965), brittleness constrains... 

A comparison of results obtained for several networks based on the same epoxide-amine pair, but with variable amine/epoxide molar ratios, and thus variable crosslink densities, is shown in Table 11.3 (Tcharkhtchi et al., 1998). Havriliak-Negami and Perez models cannot be distinguished from one another by the quality of the fit of experimental curves, within experimental uncertainty. From a mathematical point of view, the Havriliak-Negami model is better than the Perez model because it has less parameters to fit (four parameters against five). In contrast, physical arguments could favor the Perez model, for which the parameters have a physical interpretation. 

Information about excipients is useful in the initial planning and interpretation of the excipient compatibility results. Important factors to consider for excipients include their physical-chemical properties. The Handbook of Pharmaceutical Excipients lists important information on structure, moisture content, melting point, pH, solubility, and equilibrium moisture at variable relative humidity for individual excipients (27). An example of relevant physical-chemical parameters for some select excipients is detailed in Table 1. A spectroscopic review of excipients (28) has been completed, and extensive reviews of some of the most common types of excipients (i.e., carbohydrate based) are published (29). 

The macroscale behaviour of high specific surface particulate minerals is directly related to microscale interparticle electrical forces, thus, the physical interpretation of electromagnetic wave parameters allows inferring important properties about these materials. Furthermore, the properties of high specific surface particulate materials are environmentally dependent, hence, they are difficult to determine without altering them in the measurement process. In... 

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