Cr–Re system

102 accepted literature values from 2 paper(s) (experimental 6, model 6, DFT 90); 4 calculated phase diagram(s). 3 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 (8) · papers (bibliography) · Markdown

Accepted values by evidence class
Evidence classValues
experimental6
model6
DFT90
Accepted values by property group
Property groupValues
invariant reaction12
formation30
crystal structure60

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
CrRe-18Guo.tdbC. Guo, T. Wu, C. Li, Z. Du, Calphad, 61, 33-40(2018). doi:10.1016/j.calphad.2018.01.0050d9eb3deb13b10c15bb54015c490f995aa071b502d557a8da46bf4b51667df4fviewer · TDB · JSON
CrRe-24Per.tdbJ.C. Pereira dos Santos, S. Griesemer, N. Dupin, U.R. Kattner, C. Liu, D. Ivanova, T. Hammerschmidt, S.G. Fries, C. Wolverton, C.E. Campbell, J. Phase Equilib. Diffus., 45, 330-57(2024). doi:10.1007/s11669-023-01079-3ea858eb0298693a4ebdc6be6890b2371f99e25646b0f63ef5b1de8db4f537f89viewer · TDB · JSON
CrRe-98Hua-newsigma.tdbW. Huang, Y.A. Chang, J. Alloys Compd., 274, 209-16(1998). doi:10.1016/S0925-8388(98)00572-659cdf7ec1d69771a0c75b37bf4e708c6bfab8dca21ce5d77238d495194da8b5fviewer · TDB · JSON
CrRe-98Hua-oldsigma.tdbW. Huang, Y.A. Chang, J. Alloys Compd., 274, 209-16(1998). doi:10.1016/S0925-8388(98)00572-6a7917c884c427729077529d158a2e445790f52aadaaa935acb52c50bfe651633viewer · TDB · JSON
Calculated three-phase invariants (model, mole fraction of the second component)
TDB fileT (K)Phases at the invariant
CrRe-18Guo.tdb2608.06LIQUID (x(Re) 0.54485) + SIGMA_D8B (x(Re) 0.62883) + HCP_A3 (x(Re) 0.72632)
CrRe-18Guo.tdb2423.01LIQUID (x(Re) 0.39802) + BCC_A2 (x(Re) 0.49234) + SIGMA_D8B (x(Re) 0.59018)
CrRe-24Per.tdb2657.56LIQUID (x(Re) 0.64949) + SIGMA_D8B (x(Re) 0.69583) + HCP_A3 (x(Re) 0.83729)
CrRe-24Per.tdb2396.24LIQUID (x(Re) 0.41237) + BCC_A2 (x(Re) 0.44206) + SIGMA_D8B (x(Re) 0.50368)
CrRe-98Hua-newsigma.tdb2635.17LIQUID (x(Re) 0.45943) + SIGMA_D8B (x(Re) 0.62305) + HCP_A3 (x(Re) 0.77412)
CrRe-98Hua-newsigma.tdb2553.19LIQUID (x(Re) 0.39771) + BCC_A2 (x(Re) 0.49514) + SIGMA_D8B (x(Re) 0.59264)
CrRe-98Hua-newsigma.tdb451.57BCC_A2 (x(Re) 0.23903) + SIGMA_D8B (x(Re) 0.66007) + HCP_A3 (x(Re) 0.99749)
CrRe-98Hua-oldsigma.tdb2634.52LIQUID (x(Re) 0.45736) + SIGMA_OLD (x(Re) 0.62452) + HCP_A3 (x(Re) 0.7758)
CrRe-98Hua-oldsigma.tdb2553.5LIQUID (x(Re) 0.39684) + BCC_A2 (x(Re) 0.495) + SIGMA_OLD (x(Re) 0.59205)
CrRe-98Hua-oldsigma.tdb538.12BCC_A2 (x(Re) 0.25084) + SIGMA_OLD (x(Re) 0.65278) + HCP_A3 (x(Re) 0.99443)

Convex hulls: Materials Project DFT hull · OQMD DFT hull · CALPHAD hull CrRe-18Guo · CALPHAD hull CrRe-98Hua-newsigma · CALPHAD hull CrRe-98Hua-oldsigma

Invariant reactions (literature)

Invariant reactions reported in the literature for the Cr–Re system (12)
T (K)Reaction / phasesCompositions (mole fraction)ClassSourceLocationQuote
2635liquid + h.c.p. Re -> σliquid: Re 0.457; h.c.p. Re: Re 0.776; σ: Re 0.625model[1] Palumbo 2010
cites Huang 1998 doi
Table 2, p. 8, row 3
report
2635L + hcp = σL: Re 0.457; hcp: Re 0.776; σ: Re 0.625model[2] Huang 1998Table 3, p. 4, row 2
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2627liquid + h.c.p. Re -> σliquid: Re 0.48; h.c.p. Re: Re 0.75; σ: Re 0.63experimental[1] Palumbo 2010
cites Savitskii 1959
Table 2, p. 8, row 1
report
2627L + hcp = σL: Re 0.48; hcp: Re 0.75; σ: Re 0.63experimental[2] Huang 1998Table 3, p. 4, row 1
report
2614liquid + h.c.p. Re -> σliquid: Re 0.635; h.c.p. Re: Re 0.829; σ: Re 0.667model[1] Palumbo 2010Table 2, p. 8, row 4
report
2608liquid + h.c.p. Re -> σh.c.p. Re: Re 0.83; σ: Re 0.72experimental[1] Palumbo 2010
cites Gritsiv 1999 doi
Table 2, p. 8, row 2
report
2557L + σ = bccL: Re 0.4; σ: Re 0.58; bcc: Re 0.5experimental[2] Huang 1998Table 3, p. 4, row 3
report
2557liquid + σ -> b.c.c. Crliquid: Re 0.41; σ: Re 0.57; b.c.c. Cr: Re 0.5experimental[1] Palumbo 2010
cites Savitskii 1959
Table 2, p. 8, row 5
report
2553liquid + σ -> b.c.c. Crliquid: Re 0.397; σ: Re 0.592; b.c.c. Cr: Re 0.495model[1] Palumbo 2010
cites Huang 1998 doi
Table 2, p. 8, row 7
report
2553L + σ = bccL: Re 0.397; σ: Re 0.592; bcc: Re 0.495model[2] Huang 1998Table 3, p. 4, row 4
report
2423liquid + σ -> b.c.c. Crσ: Re 0.5; b.c.c. Cr: Re 0.43experimental[1] Palumbo 2010
cites Gritsiv 1999 doi
Table 2, p. 8, row 6
report
2418liquid + σ -> b.c.c. Crliquid: Re 0.453; σ: Re 0.557; b.c.c. Cr: Re 0.482model[1] Palumbo 2010Table 2, p. 8, row 8
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–Re system (30)
PhaseCompoundValueT (K)ClassMP DFT (kJ/mol-atom)OQMD DFT (kJ/mol-atom)SourceLocationQuote
sigma CrCrCrCrRe11.2 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 2
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sigma CrCrCrReCr12.8 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 3
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sigma CrCrCrReRe14.2 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 4
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sigma CrCrReCrCr4.8 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 5
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sigma CrCrReCrRe3.2 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 6
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sigma CrCrReReCr7.5 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 7
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sigma CrCrReReRe7.5 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 8
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sigma CrReCrCrCr5.7 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 9
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sigma CrReCrCrRe5.4 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 10
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sigma CrReCrReCr6.6 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 11
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sigma CrReCrReRe8.9 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 12
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sigma CrReReCrCr1 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 13
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sigma CrReReCrRe1.3 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 14
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sigma CrReReReCr3.7 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 15
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sigma CrReReReRe6 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 16
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sigma ReCrCrCrCr13.9 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 17
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sigma ReCrCrCrRe13.6 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 18
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sigma ReCrCrReCr15 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 19
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sigma ReCrCrReRe16.8 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 20
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sigma ReCrReCrCr5.6 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 21
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sigma ReCrReCrRe5.1 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 22
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sigma ReCrReReCr10 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 23
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sigma ReCrReReRe10.8 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 24
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sigma ReReCrCrCr8.2 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 25
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sigma ReReCrCrRe8 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 26
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sigma ReReCrReCr9.6 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 27
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sigma ReReCrReRe11.7 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 28
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sigma ReReReCrCr2.2 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 29
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sigma ReReReCrRe3.4 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 30
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sigma ReReReReCr6.3 kJ/mol-atom0DFT[1] Palumbo 2010Table 1, p. 4, row 31
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Other properties

Crystal structure (60)

Crystal structure, Cr–Re system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Lattice a
printed: a
8.835 Å0sigma CrCrCrCrRe
alloy: Cr 0.733, Re 0.267
DFT[1] Palumbo 2010Table 1, p. 4, row 2
report
Lattice a
printed: a
9.112 Å0sigma CrCrCrReCr
alloy: Cr 0.733, Re 0.267
DFT[1] Palumbo 2010Table 1, p. 4, row 3
report
Lattice a
printed: a
9.183 Å0sigma CrCrCrReRe
alloy: Cr 0.467, Re 0.533
DFT[1] Palumbo 2010Table 1, p. 4, row 4
report
Lattice a
printed: a
9.019 Å0sigma CrCrReCrCr
alloy: Cr 0.733, Re 0.267
DFT[1] Palumbo 2010Table 1, p. 4, row 5
report
Lattice a
printed: a
9.075 Å0sigma CrCrReCrRe
alloy: Cr 0.467, Re 0.533
DFT[1] Palumbo 2010Table 1, p. 4, row 6
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Lattice a
printed: a
9.347 Å0sigma CrCrReReCr
alloy: Cr 0.467, Re 0.533
DFT[1] Palumbo 2010Table 1, p. 4, row 7
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Lattice a
printed: a
9.389 Å0sigma CrCrReReRe
alloy: Cr 0.2, Re 0.8
DFT[1] Palumbo 2010Table 1, p. 4, row 8
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Lattice a
printed: a
8.855 Å0sigma CrReCrCrCr
alloy: Cr 0.867, Re 0.133
DFT[1] Palumbo 2010Table 1, p. 4, row 9
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Lattice a
printed: a
8.932 Å0sigma CrReCrCrRe
alloy: Cr 0.6, Re 0.4
DFT[1] Palumbo 2010Table 1, p. 4, row 10
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Lattice a
printed: a
9.175 Å0sigma CrReCrReCr
alloy: Cr 0.6, Re 0.4
DFT[1] Palumbo 2010Table 1, p. 4, row 11
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Lattice a
printed: a
9.234 Å0sigma CrReCrReRe
alloy: Cr 0.333, Re 0.667
DFT[1] Palumbo 2010Table 1, p. 4, row 12
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Lattice a
printed: a
9.171 Å0sigma CrReReCrCr
alloy: Cr 0.6, Re 0.4
DFT[1] Palumbo 2010Table 1, p. 4, row 13
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Lattice a
printed: a
9.206 Å0sigma CrReReCrRe
alloy: Cr 0.333, Re 0.667
DFT[1] Palumbo 2010Table 1, p. 4, row 14
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Lattice a
printed: a
9.435 Å0sigma CrReReReCr
alloy: Cr 0.333, Re 0.667
DFT[1] Palumbo 2010Table 1, p. 4, row 15
report
Lattice a
printed: a
9.469 Å0sigma CrReReReRe
alloy: Cr 0.067, Re 0.933
DFT[1] Palumbo 2010Table 1, p. 4, row 16
report
Lattice a
printed: a
8.856 Å0sigma ReCrCrCrCr
alloy: Cr 0.933, Re 0.067
DFT[1] Palumbo 2010Table 1, p. 4, row 17
report
Lattice a
printed: a
8.942 Å0sigma ReCrCrCrRe
alloy: Cr 0.667, Re 0.333
DFT[1] Palumbo 2010Table 1, p. 4, row 18
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Lattice a
printed: a
9.222 Å0sigma ReCrCrReCr
alloy: Cr 0.667, Re 0.333
DFT[1] Palumbo 2010Table 1, p. 4, row 19
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Lattice a
printed: a
9.268 Å0sigma ReCrCrReRe
alloy: Cr 0.4, Re 0.6
DFT[1] Palumbo 2010Table 1, p. 4, row 20
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Lattice a
printed: a
9.116 Å0sigma ReCrReCrCr
alloy: Cr 0.667, Re 0.333
DFT[1] Palumbo 2010Table 1, p. 4, row 21
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Lattice a
printed: a
9.164 Å0sigma ReCrReCrRe
alloy: Cr 0.4, Re 0.6
DFT[1] Palumbo 2010Table 1, p. 4, row 22
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Lattice a
printed: a
9.442 Å0sigma ReCrReReCr
alloy: Cr 0.4, Re 0.6
DFT[1] Palumbo 2010Table 1, p. 4, row 23
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Lattice a
printed: a
9.478 Å0sigma ReCrReReRe
alloy: Cr 0.133, Re 0.867
DFT[1] Palumbo 2010Table 1, p. 4, row 24
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Lattice a
printed: a
8.951 Å0sigma ReReCrCrCr
alloy: Cr 0.8, Re 0.2
DFT[1] Palumbo 2010Table 1, p. 4, row 25
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Lattice a
printed: a
9.019 Å0sigma ReReCrCrRe
alloy: Cr 0.533, Re 0.467
DFT[1] Palumbo 2010Table 1, p. 4, row 26
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Lattice a
printed: a
9.265 Å0sigma ReReCrReCr
alloy: Cr 0.533, Re 0.467
DFT[1] Palumbo 2010Table 1, p. 4, row 27
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Lattice a
printed: a
9.333 Å0sigma ReReCrReRe
alloy: Cr 0.267, Re 0.733
DFT[1] Palumbo 2010Table 1, p. 4, row 28
report
Lattice a
printed: a
9.252 Å0sigma ReReReCrCr
alloy: Cr 0.533, Re 0.467
DFT[1] Palumbo 2010Table 1, p. 4, row 29
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Lattice a
printed: a
9.284 Å0sigma ReReReCrRe
alloy: Cr 0.267, Re 0.733
DFT[1] Palumbo 2010Table 1, p. 4, row 30
report
Lattice a
printed: a
9.527 Å0sigma ReReReReCr
alloy: Cr 0.267, Re 0.733
DFT[1] Palumbo 2010Table 1, p. 4, row 31
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Lattice c
printed: c
4.904 Å0sigma CrCrCrCrRe
alloy: Cr 0.733, Re 0.267
DFT[1] Palumbo 2010Table 1, p. 4, row 2
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Lattice c
printed: c
4.644 Å0sigma CrCrCrReCr
alloy: Cr 0.733, Re 0.267
DFT[1] Palumbo 2010Table 1, p. 4, row 3
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Lattice c
printed: c
4.934 Å0sigma CrCrCrReRe
alloy: Cr 0.467, Re 0.533
DFT[1] Palumbo 2010Table 1, p. 4, row 4
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Lattice c
printed: c
4.641 Å0sigma CrCrReCrCr
alloy: Cr 0.733, Re 0.267
DFT[1] Palumbo 2010Table 1, p. 4, row 5
report
Lattice c
printed: c
4.934 Å0sigma CrCrReCrRe
alloy: Cr 0.467, Re 0.533
DFT[1] Palumbo 2010Table 1, p. 4, row 6
report
Lattice c
printed: c
4.734 Å0sigma CrCrReReCr
alloy: Cr 0.467, Re 0.533
DFT[1] Palumbo 2010Table 1, p. 4, row 7
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Lattice c
printed: c
4.99 Å0sigma CrCrReReRe
alloy: Cr 0.2, Re 0.8
DFT[1] Palumbo 2010Table 1, p. 4, row 8
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Lattice c
printed: c
4.611 Å0sigma CrReCrCrCr
alloy: Cr 0.867, Re 0.133
DFT[1] Palumbo 2010Table 1, p. 4, row 9
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Lattice c
printed: c
4.918 Å0sigma CrReCrCrRe
alloy: Cr 0.6, Re 0.4
DFT[1] Palumbo 2010Table 1, p. 4, row 10
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Lattice c
printed: c
4.695 Å0sigma CrReCrReCr
alloy: Cr 0.6, Re 0.4
DFT[1] Palumbo 2010Table 1, p. 4, row 11
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Lattice c
printed: c
4.97 Å0sigma CrReCrReRe
alloy: Cr 0.333, Re 0.667
DFT[1] Palumbo 2010Table 1, p. 4, row 12
report
Lattice c
printed: c
4.654 Å0sigma CrReReCrCr
alloy: Cr 0.6, Re 0.4
DFT[1] Palumbo 2010Table 1, p. 4, row 13
report
Lattice c
printed: c
4.931 Å0sigma CrReReCrRe
alloy: Cr 0.333, Re 0.667
DFT[1] Palumbo 2010Table 1, p. 4, row 14
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Lattice c
printed: c
4.771 Å0sigma CrReReReCr
alloy: Cr 0.333, Re 0.667
DFT[1] Palumbo 2010Table 1, p. 4, row 15
report
Lattice c
printed: c
5.006 Å0sigma CrReReReRe
alloy: Cr 0.067, Re 0.933
DFT[1] Palumbo 2010Table 1, p. 4, row 16
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Lattice c
printed: c
4.578 Å0sigma ReCrCrCrCr
alloy: Cr 0.933, Re 0.067
DFT[1] Palumbo 2010Table 1, p. 4, row 17
report
Lattice c
printed: c
4.907 Å0sigma ReCrCrCrRe
alloy: Cr 0.667, Re 0.333
DFT[1] Palumbo 2010Table 1, p. 4, row 18
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Lattice c
printed: c
4.643 Å0sigma ReCrCrReCr
alloy: Cr 0.667, Re 0.333
DFT[1] Palumbo 2010Table 1, p. 4, row 19
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Lattice c
printed: c
4.956 Å0sigma ReCrCrReRe
alloy: Cr 0.4, Re 0.6
DFT[1] Palumbo 2010Table 1, p. 4, row 20
report
Lattice c
printed: c
4.651 Å0sigma ReCrReCrCr
alloy: Cr 0.667, Re 0.333
DFT[1] Palumbo 2010Table 1, p. 4, row 21
report
Lattice c
printed: c
4.939 Å0sigma ReCrReCrRe
alloy: Cr 0.4, Re 0.6
DFT[1] Palumbo 2010Table 1, p. 4, row 22
report
Lattice c
printed: c
4.748 Å0sigma ReCrReReCr
alloy: Cr 0.4, Re 0.6
DFT[1] Palumbo 2010Table 1, p. 4, row 23
report
Lattice c
printed: c
4.993 Å0sigma ReCrReReRe
alloy: Cr 0.133, Re 0.867
DFT[1] Palumbo 2010Table 1, p. 4, row 24
report
Lattice c
printed: c
4.636 Å0sigma ReReCrCrCr
alloy: Cr 0.8, Re 0.2
DFT[1] Palumbo 2010Table 1, p. 4, row 25
report
Lattice c
printed: c
4.924 Å0sigma ReReCrCrRe
alloy: Cr 0.533, Re 0.467
DFT[1] Palumbo 2010Table 1, p. 4, row 26
report
Lattice c
printed: c
4.71 Å0sigma ReReCrReCr
alloy: Cr 0.533, Re 0.467
DFT[1] Palumbo 2010Table 1, p. 4, row 27
report
Lattice c
printed: c
4.962 Å0sigma ReReCrReRe
alloy: Cr 0.267, Re 0.733
DFT[1] Palumbo 2010Table 1, p. 4, row 28
report
Lattice c
printed: c
4.676 Å0sigma ReReReCrCr
alloy: Cr 0.533, Re 0.467
DFT[1] Palumbo 2010Table 1, p. 4, row 29
report
Lattice c
printed: c
4.939 Å0sigma ReReReCrRe
alloy: Cr 0.267, Re 0.733
DFT[1] Palumbo 2010Table 1, p. 4, row 30
report
Lattice c
printed: c
4.777 Å0sigma ReReReReCr
alloy: Cr 0.267, Re 0.733
DFT[1] Palumbo 2010Table 1, p. 4, row 31
report

Sources

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

  1. M. Palumbo, T. Abe, C. Kocer, H. Murakami, H. Onodera, Ab initio and thermodynamic study of the Cr–Re system, Calphad 34, 495-503 (2010). doi:10.1016/j.calphad.2010.09.003
  2. W. Huang, Y.A. Chang, Thermodynamic analysis of the Cr–Re system and prediction of the Cr–Ni–Re system, Journal of Alloys and Compounds 274, 209-216 (1998). doi:10.1016/s0925-8388(98)00572-6