Topic
Gibbs–Duhem equation
About: Gibbs–Duhem equation is a research topic. Over the lifetime, 393 publications have been published within this topic receiving 6248 citations. The topic is also known as: Gibbs-Duhem equation.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, the experimental information on the solid state phase equilibria in the Fe−Mn−C system was analyzed in thermodynamic terms and the Gibbs free energy of each phase was described by a regular or subregular solution model and the numerical values of the parameters were determined.
Abstract: The experimental information on the solid state phase equilibria in the Fe−Mn−C system was analyzed in thermodynamic terms. Gibbs free energy of each phase was described by a regular or subregular solution model and the numerical values of the parameters were determined. The results were used to calculate isothermal sections between 873 and 1373 K. They show a reasonable agreement with all the experimental information available.
27 citations
TL;DR: In this article, general expressions for partial Gibbs energies are derived from the Redlich-Kister polynomial for substitutional and interstitial solutions, and for the more general case of solution phases with two sublattices.
26 citations
TL;DR: Gibbs energy and entropy data for aqueous Fe 2+, FeOH +, HFeO − 2 and FeO 2− 2 are critically reviewed in this paper, where the most reliable values are used in a Criss-Cobble extrapolation to calculate Gibbs energies to 300°C and, hence, the solubility of Fe 3 O 4 in H 2 O and D 2 O as a function of the pH or pD at 25°C.
25 citations
TL;DR: In this paper, an algorithm is described for the calculation of equilibrium compositions of multiple highly nonideal liquid and solid solutions, as well as pure stoichiometric phases, coexisting with a mixture of ideal gas species at fixed temperature and pressure.
Abstract: An algorithm is described for the calculation of equilibrium compositions of multiple highly nonideal liquid and solid solutions, as well as pure stoichiometric phases, coexisting with a mixture of ideal gas species at fixed temperature and pressure. The total Gibbs free energy of the system is approximated as a quadratic function of the compositions of the gas phase and stable condensed phases, in an orthogonal basis set of pure elements. Only changes in thermal energy and energy related to pressure-volume work are considered. The total Gibbs energy is minimized directly by use of both the slope and the curvature of the Gibbs energy surface with respect to the gas and condensed phase compositions in the basis elements. The algorithm described has been implemented in a computer code for the calculation of condensation sequences for cosmic nebular gases enriched in dust. Machine, compiler and library requirements for performing these calculations in the C programming language are compared. © 2000 John Wiley & Sons, Inc. J Comput Chem 21: 247–256, 2000
25 citations
TL;DR: The Legendre-transformed Gibbs energy change for a biochemical reaction, Delta(r)G', is shown to be equal to the nontransformed Gibbs energies of reaction,Delta( r)G, of any single reaction involving selected chemical species of the biochemical system.
Abstract: The Legendre-transformed Gibbs energy change for a biochemical reaction, Delta(r)G', is shown to be equal to the nontransformed Gibbs energy change, Delta(r)G, of any single reaction involving selected chemical species of the biochemical system. These two Gibbs energies of reaction have hitherto been thought to have different values. The equality of the quantities means that a substantial part of biochemical and chemical thermodynamics, previously treated separately, can be treated within a unified thermodynamic framework. An important consequence of the equality of Delta(r)G and Delta(r)G' is that the Gibbs energy change of many enzyme reactions can be quantified without specifying which chemical species is the active substrate of the enzyme. Another consequence is that the transformed standard Gibbs energy change of a reaction, Delta(r)G'(0), can be calculated by a simple analytical expression, rather than the complex computational methods of the past. The equality of the quantities is restricted to Gibbs energy changes and does not apply to enthalpy or entropy changes.
23 citations