Thermodynamic properties and phase equilibria in the Cr-P system

Зайцев, А. И.; Shelkova, N. E.; Litvina, A. D.; Mogutnov, B. M.; Доброхотова, Ж. В.

doi:10.1361/105497198770342201

Cited by 13 publications

(52 citation statements)

References 11 publications

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“…[5,6] Random weighing, and chemical and X-ray analyses of the samples ALEXANDER tested, revealed that the chemical composition could be determined accurately from the mass of the components. Double effusion cells made from tantalum or niobium were used in the experiments.…”

Section: Methodsmentioning

confidence: 99%

“…Therefore, it seems reasonable to apply, for approximation of the thermodynamic properties of the Fe-Cr-P melt, the associated-solution theory. Recent research [6,15] revealed that Fe-P and Cr-P melts are well described by the ideal associated-solution model if complexes Fe 3 P, Fe 2 P, and FeP or Cr 3 P, Cr 3 P 2 , Cr 2 P, and CrP are assumed to exist.…”

Section: A Thermodynamic Modelmentioning

confidence: 99%

“…n (Fe) ϭ n (Fe ) ϩ p n (Fe Cr P ) Σ 1 p q r p n (Cr) ϭ n (Cr ) ϩ q n (Fe Cr P ) [15] Σ 1 p q r q n(P) ϭ n (P ) ϩ r n (Fe Cr P )…”

Section: A Thermodynamic Modelmentioning

confidence: 99%

“…The number of terms in relation [11] was varied over the range of 1 to 7. Although the enthalpies and entropies of formation of the binary associates were determined in previous studies, [6,15] in the first optimization stage, all ⌬ f H 0 (i), ⌬ f S 0 (i) values, including those of the binary associates, were assumed unknowns. As a consequence, the thermodynamic functions of the binary complexes were found to coincide with those established from the data for the Fe-P [6] and Cr-P [15] melts.…”

Section: A Thermodynamic Modelmentioning

confidence: 99%

“…Cr P ε P C r 15.03, and ϭ 38.0. The phase diagram of the Fe-Cr-P Cr,P Cr system is unknown, except for a region corresponding to the isothermal cross section at 1073 K. [4] This cross section shows that the ternary compound FeCrP occurs in the system ( Figure 1).…”

Section: Introductionmentioning

confidence: 96%

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Thermodynamic properties of the Fe-Cr-P liquid solution

Зайцев

Mogutnov

Shelkova

1998

Metall Mater Trans B

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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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Section: Methodsmentioning

confidence: 99%

Section: A Thermodynamic Modelmentioning

confidence: 99%

“…n (Fe) ϭ n (Fe ) ϩ p n (Fe Cr P ) Σ 1 p q r p n (Cr) ϭ n (Cr ) ϩ q n (Fe Cr P ) [15] Σ 1 p q r q n(P) ϭ n (P ) ϩ r n (Fe Cr P )…”

Section: A Thermodynamic Modelmentioning

confidence: 99%

Section: A Thermodynamic Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

See 3 more Smart Citations

Thermodynamic properties of the Fe-Cr-P liquid solution

Зайцев

Mogutnov

Shelkova

1998

Metall Mater Trans B

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Interfacial Electron Transfer Strategy to Improve the Hydrogen Evolution Catalysis of CrP Heterostructure

Sarkar

Parui

Das

et al. 2022

Small

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Though several Pt‐free hydrogen evolution reaction (HER) catalysts have been reported, their employment for industry is challenging. Here, a facile pyrolysis method to obtain phase‐pure CrP nanoparticles supported on N, P dual‐doped carbon (CrP/NPC) is reported to be tuned toward industrial HER. Interestingly, CrP/NPC exhibits excellent HER activity that requires an overpotential of 34 mV to attain a current density of 10 mA cm−2, which is only 1 mV positive to commercial Pt/C and a potential of 55 mV to achieve a current density of 200 mA cm−2 which is better than Pt/C. In addition, the long‐term durability of CrP/NPC is far superior to Pt/C due to the strong interaction between CrP and C support, restricting any agglomeration or leaching. Density functional theory (DFT) calculations suggest that electronic modulation at the interface (CrP/NPC) optimizes the hydrogen adsorption energy. The Cr–Cr bridge site with required density of states near the Fermi level is found to be the active site. Overall, this report provides a practical scheme to synthesize rarely investigated CrP based materials along with a computational mechanistic guideline for electrocatalysis that can be utilized to explore other phosphides for various applications.

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Representation Reaction Abilities of Structural Units and Related Thermodynamic Properties in Fe–P Binary Melts Based on the Atom–Molecule Coexistence Theory

Yang

et al. 2013

steel research int.

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A thermodynamic model for calculating the mass action concentrations of structural units in FeÀP binary melts based on the atomÀmolecule coexistence theory, i.e., AMCTÀN i model, has been developed and verified through comparing with the reported activities of both P and Fe in FeÀP binary melts with mole fraction x P of P <0.33 in a temperature from 1406 K to 1973 K. The calculated mass action concentration N P of P or N Fe of Fe has a very good 1:1 corresponding relationship with the reported activity a R,P of P or a R,Fe of Fe relative to pure liquid P(l) or Fe(l) as standard state, and can be applied to substitute the measured activity a R,P of P or a R,Fe of Fe in FeÀP binary melts. The Raoultian activity coefficient g 0 P of P and g 0 Fe of Fe in the infinitely dilute solution of FeÀP binary melts in a temperature from 1406 K to 1973 K have been determined from the calculated mass action concentrations N i of structural units in FeÀP binary melts. The activity a R,i , a %,i , and a H,i of P or Fe relative to three standard states have been obtained. The values of the first-order activity interaction coefficient e i i or e i i or h i i of P and Fe related with activity coefficients g i or f %,i or f H,i of P and Fe in FeÀP binary melts are also determined.

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Thermodynamic properties and phase equilibria in the Cr-P system

Cited by 13 publications

References 11 publications

Thermodynamic properties of the Fe-Cr-P liquid solution

Thermodynamic properties of the Fe-Cr-P liquid solution

Interfacial Electron Transfer Strategy to Improve the Hydrogen Evolution Catalysis of CrP Heterostructure

Representation Reaction Abilities of Structural Units and Related Thermodynamic Properties in Fe–P Binary Melts Based on the Atom–Molecule Coexistence Theory

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