2016
DOI: 10.1016/j.commatsci.2016.01.022
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Generalization of first-principles thermodynamic model: Application to hexagonal close-packed ε-Fe3N

Abstract: A complete first-principles thermodynamic model was developed and applied to hexagonal close-packed structure ε-Fe 3 N. The electronic structure was calculated using density functional theory and the quasiharmornic phonon approximation to determine macroscopic thermodynamic properties at finite temperatures was generalized in terms of the partition function for any lattice of interest.Specially, thermal expansion of the hexagonal close-packed ε phase with two independent lattice parameters was studied by means… Show more

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Cited by 4 publications
(4 citation statements)
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“…From this line shift, the relative reduction of the lattice parameters a and c was calculated and corrected for the thermal expansion (Figure 4). The thermal expansion was corrected according to Reference 35 in order to be able to correlate the reduction of the unit cell volume of ε‐Fe 3 N y directly with the out‐diffusion of nitrogen. As shown by Liapina et al 20 the lattice parameters and the volume of the unit cell of ε‐Fe 3 N y depend on the nitrogen concentration ( y ) like: ay=4.4542+0.2371yandc(y)=4.2535+0.1221·y Vy=a2ycy3/2 Vy=()4.4542+0.2371y2·4.2535+0.1221y3/2 …”
Section: Resultsmentioning
confidence: 99%
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“…From this line shift, the relative reduction of the lattice parameters a and c was calculated and corrected for the thermal expansion (Figure 4). The thermal expansion was corrected according to Reference 35 in order to be able to correlate the reduction of the unit cell volume of ε‐Fe 3 N y directly with the out‐diffusion of nitrogen. As shown by Liapina et al 20 the lattice parameters and the volume of the unit cell of ε‐Fe 3 N y depend on the nitrogen concentration ( y ) like: ay=4.4542+0.2371yandc(y)=4.2535+0.1221·y Vy=a2ycy3/2 Vy=()4.4542+0.2371y2·4.2535+0.1221y3/2 …”
Section: Resultsmentioning
confidence: 99%
“…(A) Relative changes of the lattice parameters a (filled dots) and c (open triangles) of ε‐Fe 3 N y obtained from the HTXRD measurements and corrected by using the linear thermal expansion of the unit cell taken from Reference 35. (B) The corresponding nitrogen content in ε‐Fe 3 N y was estimated from the volume of the unit cell (Equation (2))…”
Section: Resultsmentioning
confidence: 99%
“…e l s e v i e r . c o m / l o c a t e / m a t d e s to study the stability and electronic structure of γ-Fe 23 C 6 , and showed that the γ-(Fe, M) 23 C 6 phase is slightly more stable than cementite θ-Fe 3 C. Moreover, there have been many works on the stability of alloy carbides and interfacial property between the carbide and matrix in steels [12][13][14][15]. In our previous work, a novel steel for cold work roll was designed and optimized by CALPHAD.…”
Section: Contents Lists Available At Sciencedirectmentioning
confidence: 98%
“…Recently, iron nitride materials have become research hotspots due to their excellent properties, such as high melting point, high stability, wear resistance, high tensile strength, and electrical conductivity . Accordingly, iron nitride materials have broad applications in many fields, such as superconducting materials, superhard coating materials, high thermal conductivity materials, catalysis, and so on . Most studies of iron nitride materials are focused on magnetic and catalytic fields at present .…”
Section: Introductionmentioning
confidence: 99%