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- W1986300348 abstract "The natural occurrence of epidote minerals is widespread over a large variety of geological settings. Thus epidote minerals are part of numerous phase equilibria, which need to be evaluated to understand the geological processes in general. There are two principal approaches to evaluate phase equilibria in the deep earth. The first uses direct experimental investigations, while the second is by thermodynamic calculations and modeling. Performing and evaluating experiments is often a tedious procedure and by far not all systems can be studied at the required physical and chemical conditions, considering all of the possible variables. Therefore experimental investigations are in many instances only case studies in simplified systems, but the thermodynamic framework provides a powerful tool to perform calculations of complex phase equilibria, if the required parameters are available. However, these two approaches are not necessarily independent, because experimental results are often used to evaluate and to calibrate physical-chemical parameters for such calculations.Many physical-chemical textbooks treat the principles of thermodynamics, and in addition some texts (e.g., Anderson and Crerar 1993; Nordstrom and Munoz 1994) introduce its application to the geological sciences. Therefore only the fundamental equations and their relationship to the required parameters are treated here briefly.The evaluation of phase equilibria and/or stable phase assemblages involves the calculation of the apparent chemical potential μ i ( P , T ) for each component i present at the P and T of choice according tobatchmode documentclass[fleqn,10pt,legalpaper]{article} usepackage{amssymb} usepackage{amsfonts} usepackage{amsmath} pagestyle{empty} begin{document} [{mu}_{mathit{i(P,T)}} = {Delta}_{mathit{f}}mathit{h^{o}_{i(P_{r},T_{r})}} {-} mathit{TS_{i(P_{r},T_{r})}}^{o} + {{int}_{mathit{T_{r}}}^{mathit{T}}}mathit{c}^{o}mathit{_{Pi(T)}dT {-} T}{_{mathit{T_{r}}}^{mathit{T}}}frac{mathit{c}^{o}_{mathit{Pi(T)}}}{mathit{T}}mathit{dT} + {{int}_{mathit{P_{r}}}^{mathit{P}}}{nu}^{o}_{mathit{i(P,T)}}mathit{dP} + mathit{RT} lnmathit{a_{i}}] end{document}(1) The calculation involves the following molar standard state properties (note small letters designate molar quantities): absolute enthalpy of formation from the elements Δ f h i ° and third law entropy s i ° at reference conditions P r and T r (i.e., 0.1 MPa, 298.15 K), the heat capacity c P ° i at constant pressure as function of temperature, and the …" @default.
- W1986300348 created "2016-06-24" @default.
- W1986300348 creator A5011457164 @default.
- W1986300348 date "2004-01-01" @default.
- W1986300348 modified "2023-09-25" @default.
- W1986300348 title "Thermodynamic Properties of Zoisite, Clinozoisite and Epidote" @default.
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- W1986300348 doi "https://doi.org/10.2138/gsrmg.56.1.83" @default.
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