Contributions to Mineralogy and Petrology

, Volume 81, Issue 1, pp 48–58 | Cite as

Corresponding states in binary solutions, and graphical determination of Margules parameters

  • Christian de Capitani
  • Tjerk Peters
Article
Received:
Accepted:

Abstract

The thermodynamic properties of non-ideal binary solutions were investigated. By using reduced temperatures (T/Tcritical mixing) and comparing the width of the solvi in very different binary systems, a uniform relation for several systems is obtained for which the concept of corresponding solvi is introduced.

A graphical method is developed to determine Margules parameters from two-phase regions in solid solutions. Graphs are presented for binodal — as well as spinodal solvi. The Margules parameters obtained with these graphs are comparable with the calculated ones.

In well investigated systems from the literature constant ratios of Margules parameters (W a /W b ) were recognized so far. Combining this observation with the concept of corresponding solvi, a tentative solvus can be constructed with a minimum of data.

Keywords

Solid Solution Mineral Resource Binary System Thermodynamic Property Graphical Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of Symbols Used in the Calculations

x

Mole fraction of component B in solid solution

x1

Mole fraction of component B in phase 1

x2

Mole fraction of component B in phase 2

μA0

Chemical potential of 1 mole pure component A

μB0

Chemical potential of 1 mole pure component B

μA(x), μA

Chemical potential of component A in solid solution

μB(x), μB

Chemical potential of component B in solid solution

G

Total Gibbs energy of the system

¯Gm(x), ¯Gm

Molar Gibbs energy of solid solution

¯GmE(x)

Excess function

Wa, Wb

Margules parameters

T

Absolute temperature in K

P

Pressure

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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Christian de Capitani
    • 1
  • Tjerk Peters
    • 1
  1. 1.Mineralogisch-Petrographisches InstitutBernSwitzerland

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