Cr–Fe system

55 accepted literature values from 4 paper(s) (experimental 8, model 8, DFT 37, unspecified 2); 7 calculated phase diagram(s). 17 further extracted value(s) not accepted by the reader-agreement checks are only in the JSON/CSV.

Data: JSON · CSV · interactive explorer · interactive phase diagram · phases (9) · papers (bibliography) · Markdown

Accepted values by evidence class
Evidence classValues
experimental8
model8
DFT37
unspecified2
Accepted values by property group
Property groupValues
invariant reaction2
phase transition14
formation13
mixing / partial1
crystal structure25

Calculated phase diagrams

Binary phase diagrams calculated with pycalphad 0.11.2 from the SGTE binary collection (Hallstedt 2025, CC BY 4.0). Evidence class: model.

Assessments with a calculated phase diagram
TDB fileAssessmentSHA-256Links
CrFe-11Xio.tdbW. Xiong, P. Hedstrom, M. Selleby, J. Odqvist, M. Thuvander, Q. Chen, Calphad, 35, 355-66(2011). doi:10.1016/j.calphad.2011.05.002c6bdc1ced82c0a3100b8bec5986b6ac6e0c92156c2d98346def6ace07bda28e7viewer · TDB · JSON
CrFe-18Jac.tdbA. Jacob, E. Povoden-Karadeniz, E. Kozeschnik, Calphad, 60, 16-28(2018). doi:10.1016/j.calphad.2017.10.00297353b426c2d299a2d1b73107eb46563ba26c48fde727232f57b1930b5d512b8viewer · TDB · JSON
CrFe-20Ost.tdbM. Ostrowska, G. Cacciamani, J. Alloys Compd, 845, 156122(2020). doi:10.1016/j.jallcom.2020.156122c009125a792bbcf5101b4ed48c62f95d5c72499ab184c3a5bbe8e400bc45f9b0viewer · TDB · JSON
CrFe-21Laf.tdbP. Lafaye, C. Toffolon-Masclet, J.-C. Crivello, J.-M. Joubert, J. Nucl. Mater., 544, 152692(2021). doi:10.1016/j.jnucmat.2020.152692a466cbb58ce8fff8fdf17e733aca444159849b99ad58a98cf499bdf444bf95acviewer · TDB · JSON
CrFe-23Zha.tdbZ.-T. Zhang, J.-J. Wang, W. Liu, X.-G. Lu, J. Iron Steel Res. Int., 30, 660-76(2023). doi:10.1007/s42243-022-00846-9093591c8faaf3d7d245f74994a48296529fb11f8e3413b4e43127195da675cd6viewer · TDB · JSON
CrFe-82Her.tdbS. Hertzman, B. Sundman, Calphad, 6, 67-80(1982). doi:10.1016/0364-5916(82)90018-9a426ac8fa1a94471f75c7e0d4516289611e7f9daa425b1e4f3994192ab647c6fviewer · TDB · JSON
CrFe-87And-LB.tdbJ.-O. Andersson, B. Sundman, Calphad, 11, 83-92(1987). doi:10.1016/0364-5916(87)90021-6aee44c07511fe31fafc1820fb834ac00d83c33694bee14d12683186b365a4128viewer · TDB · JSON
Calculated three-phase invariants (model, mole fraction of the second component)
TDB fileT (K)Phases at the invariant
CrFe-11Xio.tdb790.18BCC_A2 (x(Fe) 0.14869) + SIGMA_D8B (x(Fe) 0.50785) + BCC_A2#2 (x(Fe) 0.83725)
CrFe-18Jac.tdb788.4BCC_A2 (x(Fe) 0.15308) + SIGMA_D8B (x(Fe) 0.50753) + BCC_A2#2 (x(Fe) 0.8481)
CrFe-20Ost.tdb770.18BCC_A2 (x(Fe) 0.1415) + SIGMA_D8B (x(Fe) 0.52761) + BCC_A2#2 (x(Fe) 0.85309)
CrFe-21Laf.tdb773.36BCC_A2 (x(Fe) 0.13799) + SIGMA_D8B (x(Fe) 0.48378) + BCC_A2#2 (x(Fe) 0.88873)
CrFe-23Zha.tdb774.65BCC_A2 (x(Fe) 0.13168) + SIGMA_D8B (x(Fe) 0.50602) + BCC_A2#2 (x(Fe) 0.84113)
CrFe-82Her.tdb704.29BCC_A2 (x(Fe) 0.07253) + SIGMA_D8B (x(Fe) 0.5328) + BCC_A2#2 (x(Fe) 0.89877)
CrFe-87And-LB.tdb1104.5SIGMA_OLD (x(Fe) 0.54765) + SIGMA_D8B (x(Fe) 0.55233) + BCC_A2 (x(Fe) 0.55449)
CrFe-87And-LB.tdb1043.66SIGMA_OLD (x(Fe) 0.56336) + SIGMA_D8B (x(Fe) 0.5642) + BCC_A2 (x(Fe) 0.65531)
CrFe-87And-LB.tdb788.69SIGMA_OLD (x(Fe) 0.48794) + SIGMA_D8B (x(Fe) 0.49127) + BCC_A2 (x(Fe) 0.8066)
CrFe-87And-LB.tdb786.21BCC_A2 (x(Fe) 0.15419) + SIGMA_OLD (x(Fe) 0.48601) + SIGMA_D8B (x(Fe) 0.48962)
CrFe-87And-LB.tdb784.91BCC_A2 (x(Fe) 0.15329) + SIGMA_D8B (x(Fe) 0.48955) + BCC_A2#2 (x(Fe) 0.80809)

Convex hulls: Materials Project DFT hull · OQMD DFT hull · CALPHAD hull CrFe-11Xio · CALPHAD hull CrFe-18Jac · CALPHAD hull CrFe-20Ost · CALPHAD hull CrFe-21Laf · CALPHAD hull CrFe-82Her · CALPHAD hull CrFe-87And-LB

Invariant reactions (literature)

Invariant reactions reported in the literature for the Cr–Fe system (2)
T (K)Reaction / phasesCompositions (mole fraction)ClassSourceLocationQuote
788eutectoid: Eutectoid: σ -> BCC + BCC'σ: Fe 0.51; BCC: Fe 0.85; BCC': Fe 0.15model[1] Jacob 2018Table 4, p. 10, row 9
report
783eutectoid: Eutectoid: σ -> BCC + BCC'σ: Fe 0.51; BCC: Fe 0.857; BCC': Fe 0.12experimental[1] Jacob 2018
cites Dubiel 1987
Table 4, p. 10, row 10
report

Formation enthalpies

Literature values in kJ/mol-atom where the per-atom basis is known. DFT columns: the lowest-energy entry at the same composition (Materials Project 2026.04.13, OQMD v1.8; different energy references, never averaged), from dft_parity.json.

Enthalpies of formation, Cr–Fe system (13)
PhaseCompoundValueT (K)ClassMP DFT (kJ/mol-atom)OQMD DFT (kJ/mol-atom)SourceLocationQuote
σ4.62 kJ/mol-atom0DFT[1] Jacob 2018Table 2, p. 5, row 4
report
σ4.94 kJ/mol-atom0DFT[1] Jacob 2018Table 2, p. 5, row 4
report
σ5.62 kJ/mol-atom0DFT[1] Jacob 2018Table 2, p. 5, row 3
report
σ5.69 kJ/mol-atom0DFT[1] Jacob 2018Table 2, p. 5, row 3
report
σ12.35 kJ/mol-atom0DFT[1] Jacob 2018Table 2, p. 5, row 5
report
σ13.2 kJ/mol-atom0DFT[1] Jacob 2018
cites Sluiter 2006 doi
Table 2, p. 5, row 1
report
σ13.52 kJ/mol-atom0DFT[1] Jacob 2018Table 2, p. 5, row 5
report
σ14.04 kJ/mol-atom0DFT[1] Jacob 2018Table 2, p. 5, row 2
report
σ14.11 kJ/mol-atom0DFT[1] Jacob 2018Table 2, p. 5, row 2
report
σ14.89 kJ/mol-atom0DFT[1] Jacob 2018Table 2, p. 5, row 6
report
σ15.27 kJ/mol-atom0DFT[1] Jacob 2018Table 2, p. 5, row 7
report
σ18.4 kJ/mol-atom0DFT[1] Jacob 2018Table 2, p. 5, row 7
report
σ19.74 kJ/mol-atom0DFT[1] Jacob 2018Table 2, p. 5, row 6
report

Other properties

Phase transition (14)

Phase transition, Cr–Fe system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Phase transition1007 K1007magnetic: 5
alloy: Cr 0.1305, Fe 0.8695
experimental[2] Xiong 2011Table 1, p. 2, row 5
report
Phase transition1030 K1030magnetic: 4
alloy: Cr 0.09921, Fe 0.90079
experimental[2] Xiong 2011Table 1, p. 2, row 4
report
Phase transition1046 K1046magnetic: 3
alloy: Cr 0.06767, Fe 0.93233
experimental[2] Xiong 2011Table 1, p. 2, row 3
report
Phase transition1051 K1051magnetic: 1
alloy: Cr 0.01159, Fe 0.98841
experimental[2] Xiong 2011Table 1, p. 2, row 1
report
Phase transition1054 K1054magnetic: 2
alloy: Cr 0.03365, Fe 0.96635
experimental[2] Xiong 2011Table 1, p. 2, row 2
report
Phase transition1093 K1093congruent transformation: C: BCC -> σ
BCC: Fe 0.53; σ: Fe 0.53
experimental[1] Jacob 2018
cites Cook 1943
Table 4, p. 10, row 7
report
Phase transition1096 K1096congruent transformation: C: BCC -> σ
BCC: Fe 0.54; σ: Fe 0.54
model[1] Jacob 2018Table 4, p. 10, row 6
report
Phase transition1103 K1103congruent transformation: C: BCC -> σ
BCC: Fe 0.53; σ: Fe 0.53
model[1] Jacob 2018
cites Xiong 2010 doi
Table 4, p. 10, row 8
report
Phase transition1119 K1119congruent transformation: C: FCC -> BCC
FCC: Fe 0.93; BCC: Fe 0.93
model[1] Jacob 2018
cites Xiong 2010 doi
Table 4, p. 10, row 5
report
Phase transition1126 K1126bcc + fccmodel[3] Andersson 1987p. 5
report
A reasonable compromise was obtained with a subregular parameter of 1410 J/mol resulting in an almost horizontal slope at high temperature and a minimum temperature of about 1126 K.
Phase transition1126 K1126congruent transformation: C: FCC -> BCC
FCC: Fe 0.927; BCC: Fe 0.927
model[1] Jacob 2018Table 4, p. 10, row 4
report
Phase transition1782 K1782congruent melting: C: L -> BCC
L: Fe 0.79; BCC: Fe 0.79
model[1] Jacob 2018Table 4, p. 10, row 1
report
Phase transition1783 K1783congruent melting: C: L -> BCC
L: Fe 0.79; BCC: Fe 0.79
model[1] Jacob 2018
cites Xiong 2010 doi
Table 4, p. 10, row 3
report
Phase transition1783 K1783congruent melting: C: L -> BCC
L: Fe 0.79; BCC: Fe 0.79
experimental[1] Jacob 2018
cites Adcock 1931
Table 4, p. 10, row 2
report

Mixing / partial (1)

Mixing / partial, Cr–Fe system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Enthalpy of mixing
printed: ΔmixH^SQS
-9.782 kJ/mol-atomfcc
alloy: Cr 0.5, Fe 0.5
DFT[4] Bracq 2021Table 1, p. 4, row 5
report

Crystal structure (25)

Crystal structure, Cr–Fe system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Lattice a
printed: a (Ferromagnetic)
8.64 Å0σ
alloy: Fe 0.466667
DFT[1] Jacob 2018Table 2, p. 5, row 4
report
Lattice a
printed: a (Non magnetic)
8.42 Å0σ
alloy: Fe 0.866667
DFT[1] Jacob 2018Table 2, p. 5, row 7
report
Lattice a
printed: a (Ferromagnetic)
8.44 Å0σ
alloy: Fe 0.866667
DFT[1] Jacob 2018Table 2, p. 5, row 7
report
Lattice a
printed: a (Ferromagnetic)
8.66 Å0σ
alloy: Fe 0.666667
DFT[1] Jacob 2018Table 2, p. 5, row 6
report
Lattice a
printed: a (Non magnetic)
8.48 Å0σ
alloy: Fe 0.666667
DFT[1] Jacob 2018Table 2, p. 5, row 6
report
Lattice a
printed: a (Ferromagnetic)
8.6 Å0σ
alloy: Fe 0.533333
DFT[1] Jacob 2018Table 2, p. 5, row 5
report
Lattice a
printed: a (Non magnetic)
8.43 Å0σ
alloy: Fe 0.533333
DFT[1] Jacob 2018Table 2, p. 5, row 5
report
Lattice a
printed: a (Non magnetic)
9.14 Å0σ
alloy: Fe 0.333333
DFT[1] Jacob 2018Table 2, p. 5, row 3
report
Lattice a
printed: a (Ferromagnetic)
8.69 Å0σ
alloy: Fe 0.333333
DFT[1] Jacob 2018Table 2, p. 5, row 3
report
Lattice a
printed: a (Non magnetic)
8.71 Å0σ
alloy: Fe 0.133333
DFT[1] Jacob 2018Table 2, p. 5, row 2
report
Lattice a
printed: a (Ferromagnetic)
8.735 Å0σ
alloy: Fe 0.133333
DFT[1] Jacob 2018Table 2, p. 5, row 2
report
Lattice a8.7961 Å298.15σ-CrFe
alloy: Fe 0.5
unspecified[1] Jacob 2018
cites Yakel 1983 doi
Table 1, p. 3, row 3
report
Lattice c
printed: c (Non magnetic)
4.44 Å0σ
alloy: Fe 0.466667
DFT[1] Jacob 2018Table 2, p. 5, row 4
report
Lattice c
printed: c (Ferromagnetic)
4.39 Å0σ
alloy: Fe 0.466667
DFT[1] Jacob 2018Table 2, p. 5, row 4
report
Lattice c
printed: c (Non magnetic)
4.44 Å0σ
alloy: Fe 0.866667
DFT[1] Jacob 2018Table 2, p. 5, row 7
report
Lattice c
printed: c (Ferromagnetic)
4.54 Å0σ
alloy: Fe 0.866667
DFT[1] Jacob 2018Table 2, p. 5, row 7
report
Lattice c
printed: c (Ferromagnetic)
4.58 Å0σ
alloy: Fe 0.666667
DFT[1] Jacob 2018Table 2, p. 5, row 6
report
Lattice c
printed: c (Non magnetic)
4.51 Å0σ
alloy: Fe 0.666667
DFT[1] Jacob 2018Table 2, p. 5, row 6
report
Lattice c
printed: c (Ferromagnetic)
4.58 Å0σ
alloy: Fe 0.533333
DFT[1] Jacob 2018Table 2, p. 5, row 5
report
Lattice c
printed: c (Non magnetic)
4.62 Å0σ
alloy: Fe 0.533333
DFT[1] Jacob 2018Table 2, p. 5, row 5
report
Lattice c
printed: c (Non magnetic)
6.04 Å0σ
alloy: Fe 0.333333
DFT[1] Jacob 2018Table 2, p. 5, row 3
report
Lattice c
printed: c (Ferromagnetic)
4.43 Å0σ
alloy: Fe 0.333333
DFT[1] Jacob 2018Table 2, p. 5, row 3
report
Lattice c
printed: c (Non magnetic)
4.54 Å0σ
alloy: Fe 0.133333
DFT[1] Jacob 2018Table 2, p. 5, row 2
report
Lattice c
printed: c (Ferromagnetic)
4.55 Å0σ
alloy: Fe 0.133333
DFT[1] Jacob 2018Table 2, p. 5, row 2
report
Lattice c4.5605 Å298.15σ-CrFe
alloy: Fe 0.5
unspecified[1] Jacob 2018
cites Yakel 1983 doi
Table 1, p. 3, row 3
report

Sources

Reporting papers the values were read from (a value cited from another work names that work in its row).

  1. Aurélie Jacob, Erwin Povoden-Karadeniz, Ernst Kozeschnik, Revised thermodynamic description of the Fe-Cr system based on an improved sublattice model of the σ phase, Calphad 60, 16-28 (2018). doi:10.1016/j.calphad.2017.10.002
  2. Wei Xiong, Peter Hedström, Malin Selleby, Joakim Odqvist, Mattias Thuvander, Qing Chen, An improved thermodynamic modeling of the Fe–Cr system down to zero kelvin coupled with key experiments, Calphad 35, 355-366 (2011). doi:10.1016/j.calphad.2011.05.002
  3. Jan-Olof Andersson, Bo Sundman, Thermodynamic properties of the CrFe system, Calphad 11, 83-92 (1987). doi:10.1016/0364-5916(87)90021-6
  4. Guillaume Bracq, Jean-Claude Crivello, Mathilde Laurent-Brocq, Jean-Marc Joubert, Ivan Guillot, What is the Enthalpy Contribution to the Stabilization of the Co–Cr–Fe–Mn–Ni Faced-centered Cubic Solid Solution?, J. Phase Equilib. Diffus. 42, 561-570 (2021). doi:10.1007/s11669-021-00922-9