Hostname: page-component-cb9f654ff-p5m67 Total loading time: 0 Render date: 2025-08-28T01:11:54.812Z Has data issue: false hasContentIssue false
  • English
  • Français

Relations between single mineral equilibrium models and equilibrium models with a solid-solution of q end-members

Published online by Cambridge University Press:  09 July 2018

J. Pages  and
P. Aurousseau
J. Pages
Affiliation:
Chaire de Statistique Informatique, ENSA, 65 rue de Saint-Brieuc, 35042 Rennes, France
P. Aurousseau
Affiliation:
Chaire de Science du Sol, ENSA, 65 rue de Saint-Brieuc, 35042 Rennes, France
Get access Rights & Permissions [Opens in a new window]

Abstract

Minerals studied by an equilibrium model with a single mineral are similar to those studied in solid-solution models with q end-members. After discussing solid-solution models with q end-members where the limits of this kind of models are specified, the mathematical relations between the two kinds of models are developed. These relations show that the equilibrium model with a single mineral is compatible with the geochemical assumption of solid-solution. A method for estimation of equilibrium between a single mineral and a homogeneous set of aqueous solutions is proposed.

Information

Type
Research Article
Information
Clay Minerals , Volume 23 , Issue 1 , March 1988 , pp. 69 - 80
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 1988

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Aagaard, P. Helgeson, H.C. (1983) Activity: composition relations among silicates and aqueous solutions: II. Chemical and thermodynamic consequences of ideal mixing of atoms on homological sites in montmorillonites, illites and mixed-layer clays. Clays Clay Miner. 31, 207–217.CrossRefGoogle Scholar
Aurousseau, P. Pages, J. (1985) Estimation de la composition chimique d'un phyllosilicate secondaire en equilibre avec une population homogene d'eaux. Clay Miner. 20, 315–326.CrossRefGoogle Scholar
Crerar, D.A. (1975) A method for computing multicomponent chemical equilibria based on equilibrium constants. Geochim. Cosmochim. Acta 39, 1375–1384.CrossRefGoogle Scholar
Fritz, B. (1981) Etude thermodynamique et modelisation des reactions hydrothermales et diagenetiques. Sciences Geologiques, Mem. 65, 197 pp.Google Scholar
Garrels, R.M. Christ, C.L. (1965) Solutions, Minerals and Equilibria. Harper Row, New York.Google Scholar
Greenwood, H.J. (1967) The N-dimensional tie-line problem. Geochim. Cosmochim. Acta 31, 469–490.CrossRefGoogle Scholar
Grimaldi, C. (1981) Acquisition de la composition chimique de la solution du sol en fonction des horizons pédologiques. Percolation au laboratoire d'un sol brun acide forestier sur granite (Fougeres, Massif Armoricain).These Ing.-Doct., ENSA Rennes, 171 pp.Google Scholar
Grover, J. (1977) Chemical mixing in multicomponent solutions: an introduction to the use of Margules and other thermodynamic excess functions to represent non-ideal behaviour. Pp. 67–97 in: Thermodynamics in Geology (Fraser, D. G., editor). Reidel, Dordrecht.CrossRefGoogle Scholar
Helgeson, H.C., Delany, J.M., Nesbitt, H.W. Bird, D.K. (1978) Summary and critique of the thermodynamic properties. Am. J. Sci. 274, 1199–1261.Google Scholar
Perry, K. Jr. (1967a) An application of linear algebra to petrologic problems : Part 1. Mineral classification. Geochim. Cosmochim. Acta 31, 1043–1078.CrossRefGoogle Scholar
Perry, K. Jr. (1967b) Contribution to geology. Contr. Geol. Univ. Wyoming 6, XXL Google Scholar
Stoessell, R.K.(1979) A regular site-mixing model for illites. Geochim. Cosmochim. Acta 43, 1151–1159.CrossRefGoogle Scholar
Stoessell, R.K. (1981) Refinements in a site mixing model for illites: local electrostatic balance and the quasichemical approximation. Geochim. Cosmochim. Acta 45, 1733–1741.CrossRefGoogle Scholar
Tardy, Y. Garrels, R.M. (1974) A method of estimating the Gibbs energies of formation for layer silicates. Geochim. Cosmochim. Acta 38, 1101–1116.CrossRefGoogle Scholar
Tardy, Y. & Fritz, B. (1981) An ideal solid solution model for calculating solubility of clay minerals. Clay Miner, 16, 361–373.CrossRefGoogle Scholar
Wagner, C. (1952) Thermodynamics of Alloys. Addison Wesley Publishing Co., Reading, Massachussetts, USA,Google Scholar
Wolery, T.J. (1979) Calculation of Chemical Equilibrium between Aqueous Solution and Minerals: the EQ 3/6 Software Package. Lawrence Livermore Laboratory, Univ. California, Livermore, California, USA.Google Scholar