Journal of Phase Equilibria

, Volume 19, Issue 3, pp 191–199 | Cite as

Thermodynamic properties and phase equilibria in the Cr-P system

  • A. I. Zaitsev
  • N. E. Shelkova
  • A. D. Litvina
  • B. M. Mogutnov
  • Zh. V. Dobrokhotova
Section I: Basic and Applied Research
First Online:
Received:
Revised:

Abstract

A Knudsen effusion method with mass-spectrometric analysis of gaseous phase has been applied to investigate the thermodynamic properties of the chromium phosphides (1341 to 1704 K) and Cr-P liquid alloys (1664 to 1819 K). Simultaneously, DSC has been used to measure heat capacities of chromium phosphides Cr3P and Cr12P7 in the temperature range of113 to 873 K. The entropies of formation of chromium phosphides calculated according to the second and third laws of thermodynamics agree within the limits of experimental error. The Gibbs energies of formation of the phosphides from solid Cr and P2 gas have been approximated with the following equations (in J/mol): AfG0(Cr3P) = −(244 112 ±2800) + (70.95 ±1.80)T ΔG0(Cr122P7) = −(1563 678 ±15 350) + (440.6 ±9.90)T Thermodynamic properties of liquid solutions have been described with the ideal associated-solution model assuming that CrP, Cr2P, Cr3P, and Cr3P2 complexes exist in the melt. The phase diagram computed with the help of the thermodynamic data agrees with the published information.

Keywords

Gibbs Energy Thermodynamic Function Ionization Cross Section Effusion Cell Partial Vapor Pressure 
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.
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Copyright information

© ASM International 1998

Authors and Affiliations

  • A. I. Zaitsev
    • 1
  • N. E. Shelkova
    • 1
  • A. D. Litvina
    • 1
  • B. M. Mogutnov
    • 1
  • Zh. V. Dobrokhotova
    • 2
  1. 1.Institute of Physical MetallurgyMoscowRussia
  2. 2.Kurnakov Institute of General and Inorganic ChemistryMoscowRussia

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