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Thermodynamic properties of the Fe-Cr-P liquid solution

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Abstract

A Knudsen-cell mass spectrometer was used to determine thermodynamic properties of the Fe-Cr-P alloys in the temperature range of 1403 to 1821 K. Concentration of the components varied within the mole-fraction ranges, as follows: Fe, 0.059 to 0.801; Cr, 0.054 to 0.789; and P, 0.048 to 0.318. The isoactivity lines of phosphorous are close to the secants connecting the Fe-P and Cr-P binary sides. Iron and chromium activities decrease regularly as the configuration point moves from the Fe-Cr liquid solution toward the Fe-P and Cr-P melts. The thermodynamic properties have been described, with the associated solution model assuming that binary and ternary complexes exist in the melt.

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Abbreviations

a(i):

activity of i

I(A+, A):

ion current A+ caused by ionization of A molecules

I(A+):

ion current A+ measured in experiment

\(\sum\limits_j {I(i,j)} \) :

sum of intensities of ion currents I (j) resulting from ionization of molecules i

K P :

equilibrium constant

K I :

equilibrium constant expressed by intensities of ion currents

k :

mass-spectrometer sensitivity constant

n(i):

amount of substance i

x(i):

mole fraction of i

Δ f G 0(i), Δ f H 0(i), Δ f S 0(i):

molar Gibbs energy, enthalpy, and entropy of formation of an i-type associative complex

Δ f G ex :

excess Gibbs energy change

γ(i):

activity coefficient of i

σ(i):

cross section of ionization of an i-type vapor species

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Author notes

  1. Nataliya E. Shelkova (Researcher)

    Present address: The Urals Pedagogical University, 620000, Ekaterinburg, Russia

Authors and Affiliations

  1. Laboratory for Physical Chemistry, I.P. Bardin Central Research Institute for Iron and Steel Industry, 107 005, Moscow, Russia

    Alexander I. Zaitsev (Chief)

  2. Institute for Physical Metallurgy, I.P. Bardin Central Research Institute for Iron and Steel Industry, 107 005, Moscow, Russia

    Boris M. Mogutnov (Director) & Nataliya E. Shelkova (Researcher)

Authors
  1. Alexander I. Zaitsev
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  2. Boris M. Mogutnov
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  3. Nataliya E. Shelkova
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Zaitsev, A.I., Mogutnov, B.M. & Shelkova, N.E. Thermodynamic properties of the Fe-Cr-P liquid solution. Metall Mater Trans B 29, 155–161 (1998). https://doi.org/10.1007/s11663-998-0018-x

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