Thermodynamics of multicomponent systems

McMillan, W. G. Mayer, J. E. (1945). The statistical thermodynamics of multicomponent systems. Journal of Chemical Physics, 13, 276-305. 

Wood B. I (1987). Thermodynamics of multicomponent systems containing several solid solutions. In Reviews in Mineralogy, vol. 17, P. H. Ribbe (series ed.), Mineralogical Society of America. 

The objective of this review is to characterize the excimer formation and energy migration processes in aryl vinyl polymers sufficiently well that the excimer probe may be used quantitatively to study polymer structure. One such area of application in which some measure of success has already been achieved is in the analysis of the thermodynamics of multicomponent systems and the kinetics of phase separation. In the future, it is likely that the technique will also prove fruitful in the study of structural order in liquid crystalline polymers. 

About 50 years ago, the thermodynamics of multicomponent systems began to have some influence on chemical engineering design, but the full utility of that influence was not possible until the rise of computers after the Second World War. Computers, coupled with semitheoretical molecular-... 

Sage, Bruce H., Thermodynamics of Multicomponent System, Reinhold Publishing Corporation. New York (1965). 

In this section, we investigate the relations between the macroscopic susceptibilities and the molecular polarizabilities. Consistent microscopic interpretations of many of the non-linear susceptibilities introduced in Section 2 will be given. Molar polarizabilities will be defined in analogy to the partial molar quantities (PMQ) known from chemical thermodynamics of multicomponent systems. The molar polarizabilities can be used as a consistent and general concept to describe virtually all linear and non-linear optical experiments on molecular media. First, these quantities will be explicitly derived for a number of NLO susceptibilities. Physical effects arising from will then be discussed very briefly, followed by a survey of experimental methods to determine second-order polarizabilities. 

The next step in the development of the thermodynamics of multicomponent systems is the formulation of the equations of change. These equations can, in completely general form, be considerably more complicated than the analogous pure component equations since (1) the mass or number of moles of each species may not be conserved due to chemical reactions, and (2) the diffusion of one species relative to the others may occur if concentration gradients are present. Furthermore, there is the computational difficulty that each thermodynamic property depends, in a complicated fashion, on the temperature, pressure, and composition of the mixture. 

McMillan W G and Mayer J E 1945 The statistical thermodynamics of multicomponent systems J. Chem. Phys. 13 276-305... 

Longuet-Higgins, H. C. 1951. The statistical thermodynamics of multicomponent systems. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. 205, 247. 

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