# Cumulant expansion of the free energy: Application to free energy derivatives and component analysis

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The chemical potential of a binary solution is calculated using the Gibbs free energy method. With the aid of certain assumptions on the microscopic structure of the solution, the wellknown expression is derived for a simple solution. It is shown that the empirical interaction parameter is...

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An apparent discrepancy in the data for the Gibbs free energy change as a function of temperature at different pHs, originally published by Brandts in 1965 and repeated by Brandts and Hunt in 1967 with an unexplained change in sign, has lead to close to 40 years of misguided thinking in...

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The statistical thermodynamics of compressible multicomponent lattice mixtures is developed using the Bornâ€“Greenâ€“Yvon (BGY) integral equation technique. Expressions for the internal energy, Helmholtz free energy, chemical potential and equation of state are derived, and the routes...

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A solution is found for the most general formulation of the problem of the thermodynamic limitations on the rate of increase of the free energy of a closed photochemical system interacting with a heat bath and a radiation field. A reaction of the form A[sup *, sub 1] + A[sub 2] â†’ + A[sub...

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Discusses the fluctuation of the variables conjugate to extensive macroscopic variables from the thermodynamic intensive variables appearing in the extended Gibbs relation for the calortropy. Nature of the fluctuations and their implications and meanings for the relative Boltzmann entropy in...

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Integral variational principles for the statics of a nonreacting, nonviscous fluid mixture are presented, both for open and closed systems. It is demonstrated that the use of Gibbsâ€™ free energy as â€˜â€˜density functionâ€™â€™ gives the appropriate field equations only if...

- Prediction of effective elements for magnetically induced phase separation in Coâ€“Cr-based magnetic recording media. Oikawa, K.; Qin, G. W.; Kitakami, O.; Shimada, Y.; Fukamichi, K.; Ishida, K. // Applied Physics Letters;7/30/2001, Vol. 79 Issue 5
Thermodynamic calculations of the magnetically induced phase separation of the hcp phase in Coâ€“Cr-based alloy systems, which is the origin of the compositional modulation observed in magnetic recording media, have been carried out. The magnetic and nonmagnetic terms in the Gibbs energy...

- Thermodynamics of anisotropic surfactant micelles. I. The influence of curvature free energy on the micellar size and shape. Bergstro¨m, Magnus // Journal of Chemical Physics;10/1/2000, Vol. 113 Issue 13
A novel theory for the structural behavior of surfactant micelles is expounded. The micelles are considered to be generally shaped as triaxial tablets with distinct thickness width and length, respectively, and may become spherical, spherocylindrical or disk-shaped in the special cases where two...

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A simple thermodynamic analysis of the well-known Michaelis-Menten equation (MME) of enzyme catalysis is proposed that employs the chemical potential ï¿½ to follow the Gibbs free energy changes attending the formation of the enzyme-substrate complex and its turnover to the product. The main...