Dependent parameters

B1JS2 CALLED AND ONLY TEMP DEPENDENT PARAMETERS... 

Van der Waals (1890) extended his theory to mixtures of components A and B by introducing mole-fraction-dependent parameters a and b defined as quadratic averages... 

Bensasson R V, Bienvenue E, Dellinger M, Leach S and Seta P 1994 Cgg in model biological systems. A visible-UV absorption study of solvent-dependent parameters and solute aggregation J. Phys. Chem. 98 3492-5000... 

The properties of butane and isobutane have been summarized ia Table 5 and iaclude physical, chemical, and thermodynamic constants, and temperature-dependent parameters. Graphs of several physical properties as functions of temperature have been pubUshed (17) and thermodynamic properties have been tabulated as functions of temperature (12). 

The dominant crystal size, is most often used as a representation of the product size, because it represents the size about which most of the mass in the distribution is clustered. If the mass density function defined in equation 33 is plotted for a set of hypothetical data as shown in Figure 10, it would typically be observed to have a maximum at the dominant crystal size. In other words, the dominant crystal size is that characteristic crystal dimension at which drajdL = 0. Also shown in Figure 10 is the theoretical result obtained when the mass density is determined for a perfectiy mixed, continuous crystallizer within which invariant crystal growth occurs. That is, mass density is found for such systems to foUow a relationship of the form m = aL exp —bL where a and b are system-dependent parameters. 

However, the Green s function of the bath Gb(t, t ) = 5 Z/5Q(t)5Q(t ) may have a form quite different from a single-phonon Green s function and may exhibit a strong temperature dependence. It would be interesting, for example, to see explicitly how this kernel, say, for a liquid, reduces to the phonon Green s function but with temperature-dependent parameters so that the friction coeflScient rj depends on temperature. To the authors knowledge this has not been done as yet. 

Due to the linear Independence of occupation indices Tji the concentration-dependent parameters can be determined from the concentration-independent ones. In the special case of interactions limited to the fourth order and nearest neighbors one finds for fcc-based alloys... 

Haman, S. E. M. et al, Generalized Temperature-Dependent Parameters of the Redlich-Kwong of State for Vapor-Liquid Equilibrium Calculations, Ind. Eng. Chem. Process Des. Dev. 16, 1, (1977) p. 51. 

The interpretation of our CPG data is complicated by the presence of comparatively fast radiative and nonradiative decay channels for the singlet exciton, which compete with the field-induced dissociation. In order to provide a clear picture of the observed mechanism and disentangle it from the singlet exciton decay dynamics, we define the following phenomenological time-dependent parameter ... 

From the foregoing discussion it will be clear that the stoichiometry of the oxidation [n in Eq. (1)] has no thermodynamic significance. It should not be used in the Nemst equation to describe the potential dependence of the equilibrium shown in Eq. (1). It is therefore better to describe n as the degree of oxidation of the polymer (i.e., the average number of holes per monomer unit), n is a potential-dependent parameter,... 

To properly describe electronic rearrangement and its dependence on both nuclear positions and velocities, it is necessary to develop a time-dependent theory of the electronic dynamics in molecular systems. A very useful approximation in this regard is the time-dependent Hartree-Fock approximation (34). Its combination with the eikonal treatment has been called the Eik/TDHF approximation, and has been implemented for ion-atom collisions.(21, 35-37) Approximations can be systematically developed from time-dependent variational principles.(38-41) These can be stated for wavefunctions and lead to differential equations for time-dependent parameters present in trial wavefunctions. 

Such relationships were in fact found empirically (168, 169, 231) however, they should be confirmed by use of correct statistics. The whole treatment with temperature-dependent parameters has to be completed with appropriate statistical methods and tested on selected reactivity data (236) before one can judge whether it is worth the effort. Few data available at present fulfil the high demands on accuracy and extent. 

The constants C,-C5 are given in Table 4.1 relative to the value of Co. The factor Fk is a fluid-dependent parameter for which values are listed in Table 4.2 for various fluids (Kandlikare, 1989). Unfortunately, the large number of empirical constants... 

The dimensionless fluid pressure is not included since it is a dependent parameter. 

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