Non-interacting components

The first term of this expansion corresponds to the case of the ideal mixture, i.e. to mutually non-interacting components. This additivity principle for the molar saturation constant Sm assumes the following form in the case of a two-compon it mbcture ... 

The presence of non-interacting components in a macromrriecular system of different molecular weight or density, or both. Quasi-continuous distribution of mucin molecular weights arising from variability in carbohydrate side-chain composition. 

In general the refractive indices of mixtures of non-interacting components plot smoothly against the proportions present the same is true of specific or molecular refractions. Equations (3) and (4)—when Ri and i 2, or r1 and r2, are known—obviously make possible the estimation of a concentration w2 or f2 by measurement of n12 and dl2 (since... 

In liquid systems with chemically non-interacting components, molar polarization, according to deiinition, is additive value expressing composition in molar fractions ... 

There are a great number of equations available in literature intended to deseribe viseosity of mixtures of chemically non-interacting components. All fliese equations, regardless of whether they have been derived theoretically or established empirically, are divided into two basic groups. The first group includes equations relating mixture viscosity,T), to viscosity of initial components, Ti, and their content in mixture, c, (c in this case is an arbitrary method of concentration expression) ... 

The comparison of equations of type [9.29] for binary liquid systems has shown that, in most cases, viscosity of systems with chemically non-interacting components is described by the exponential function of molar-fractional composition... 

Fligh conductivity of solvent mixture formed from chemically non-interacting components may be related to the properties of only one or both components. Very high conductivity of mineral acids, carboxylic acids, some complexes of acids with amines, stannous chloride, and some tetraalkylammonium salts increases conductivity of their mixtures with other solvents. ... 

Applying the widely-used chemical thermodynamics concept of free energy linearity, it is easy to demonstrate that any characteristic y which linearly depends on free energy or on free activation energy of process in the mixed solvent composed of specifically non-interacting components, shall be linear function of the components with partial molar concentration X. 

Multi-component analysis can be readily apphed to the infrared spectra of minerals. The latter contain non-interacting components and so the spectrum of a mineral can be analysed in terms of a linear combination of the spectra of the individual components. However, the spectra of such solids exhibit a marked particle-size dependency. The particle size should be reduced (to 325 mesh) prior to preparation of an alkali halide disc. The pellet preparation involves separate grinding and dispersion steps because minerals tend not to be effectively ground in the presence of an excess of KBr. Figure 5.8 illustrates the analysis of a mineral containing several components. The sample spectrum (a) is shown, as well as the calculated spectrum (b) based on the reference spectra of a variety of standard mineral components. The residual difference spectrum (c) shows that the error between the two spectra is small. 

The canonical partition function of our ensemble (non-localizable), taking into account the presence of two non-interacting components, will be ... 

As Eqs. (2.47-2.52) illustrate, wavefunctions of a system comprised of multiple non-interacting components can be written as linear combinations of products of the form... 

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