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The SAFT equation of state was developed using statistical mechanical methods (in particular the perturbation theory of Wertheim [28]) to describe the interactions between molecules in a system. [20] [29] [30] The idea of a SAFT equation of state was first proposed by Chapman et al. in 1988 and 1989.
According to a perspective published nearly fifty years later by William L. Jorgensen, "Metropolis et al. introduced the samplic method and periodic boundary conditions that remain at the heart of Monte Carlo statistical mechanics simulations of fluids. This was one of the major contributions to theoretical chemistry of the twentieth century."
The Köhler equation relates the saturation ratio over an aqueous solution droplet of fixed dry mass to its wet diameter as: [4] = (), with: S {\displaystyle S} = saturation ratio over the droplet surface defined as S = p w / p w 0 {\textstyle S=p_{w}/p_{w}^{0}} , where p w {\textstyle p_{w}} is the water vapor pressure of the solution ...
The Redlich–Kwong equation is formulated as: [6] [7] = (+), where: p is the gas pressure; R is the gas constant, T is temperature, V m is the molar volume (V/n), a is a constant that corrects for attractive potential of molecules, and
This equation of state is also a general case of the older Polytrope relation [6] which also has a constant power relation. In some circumstances, particularly in connection with ab initio calculations, the expression of the energy as a function of the volume will be preferred, [ 7 ] which can be obtained by integrating the above equation ...
PC-SAFT (perturbed chain SAFT) is an equation of state that is based on statistical associating fluid theory (SAFT). Like other SAFT equations of state, it makes use of chain and association terms developed by Chapman, et al from perturbation theory . [ 1 ]
This "law" is just a special case of dimensional analysis in which an equation containing 6 dimensional quantities, ,,,,, , and 3 independent dimensions, [p], [v], [T] (independent means that "none of the dimensions of these quantities can be represented as a product of powers of the dimensions of the remaining quantities", [45] and ...
Other magnetic quantum numbers are similarly defined, such as m j for the z-axis component the total electronic angular momentum j, [1] and m I for the nuclear spin I. [2] Magnetic quantum numbers are capitalized to indicate totals for a system of particles, such as M L or m L for the total z-axis orbital angular momentum of all the electrons ...