# Cr–Re system

> Cr–Re system: 102 accepted literature values (crystal structure 60, formation 30, invariant reaction 12) and 4 calculated phase diagram(s) from ORCHID, each value with evidence class, source, page and quote.

HTML: https://data.orchid-project.org/systems/CR-RE.html · Markdown: https://data.orchid-project.org/systems/CR-RE.md

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](https://data.orchid-project.org/literature/systems/CR-RE.json) · [CSV](https://data.orchid-project.org/systems/CR-RE.csv) · [interactive explorer](https://orchid-project.org/data-explorer/#CR-RE) · [interactive phase diagram](https://orchid-project.org/phase-diagrams/#CR-RE/CrRe-18Guo.json) · [phases (8)](https://data.orchid-project.org/phases/pages/CR-RE.html) · [papers (bibliography)](https://data.orchid-project.org/bibliography/pages/systems/CR-RE.html) · [Markdown](https://data.orchid-project.org/systems/CR-RE.md)

Table: Accepted values by evidence class

| Evidence class | Values |
|---|---:|
| experimental | 6 |
| model | 6 |
| DFT | 90 |

Table: Accepted values by property group

| Property group | Values |
|---|---:|
| invariant reaction | 12 |
| formation | 30 |
| crystal structure | 60 |

## 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.

Table: Assessments with a calculated phase diagram

| TDB file | Assessment | SHA-256 | Links |
|---|---|---|---|
| CrRe-18Guo.tdb | C. Guo, T. Wu, C. Li, Z. Du, Calphad, 61, 33-40(2018). [doi:10.1016/j.calphad.2018.01.005](https://doi.org/10.1016/j.calphad.2018.01.005) | `0d9eb3deb13b10c15bb54015c490f995aa071b502d557a8da46bf4b51667df4f` | [viewer](https://orchid-project.org/phase-diagrams/#CR-RE/CrRe-18Guo.json) · [TDB](https://orchid-project.org/data/databases/sgte-binary/CrRe-18Guo.tdb) · [JSON](https://data.orchid-project.org/phase-diagrams/sgte/CrRe-18Guo.json) |
| CrRe-24Per.tdb | J.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/s11669-023-01079-3](https://doi.org/10.1007/s11669-023-01079-3) | `ea858eb0298693a4ebdc6be6890b2371f99e25646b0f63ef5b1de8db4f537f89` | [viewer](https://orchid-project.org/phase-diagrams/#CR-RE/CrRe-24Per.json) · [TDB](https://orchid-project.org/data/databases/sgte-binary/CrRe-24Per.tdb) · [JSON](https://data.orchid-project.org/phase-diagrams/sgte/CrRe-24Per.json) |
| CrRe-98Hua-newsigma.tdb | W. Huang, Y.A. Chang, J. Alloys Compd., 274, 209-16(1998). [doi:10.1016/S0925-8388(98)00572-6](https://doi.org/10.1016/S0925-8388%2898%2900572-6) | `59cdf7ec1d69771a0c75b37bf4e708c6bfab8dca21ce5d77238d495194da8b5f` | [viewer](https://orchid-project.org/phase-diagrams/#CR-RE/CrRe-98Hua-newsigma.json) · [TDB](https://orchid-project.org/data/databases/sgte-binary/CrRe-98Hua-newsigma.tdb) · [JSON](https://data.orchid-project.org/phase-diagrams/sgte/CrRe-98Hua-newsigma.json) |
| CrRe-98Hua-oldsigma.tdb | W. Huang, Y.A. Chang, J. Alloys Compd., 274, 209-16(1998). [doi:10.1016/S0925-8388(98)00572-6](https://doi.org/10.1016/S0925-8388%2898%2900572-6) | `a7917c884c427729077529d158a2e445790f52aadaaa935acb52c50bfe651633` | [viewer](https://orchid-project.org/phase-diagrams/#CR-RE/CrRe-98Hua-oldsigma.json) · [TDB](https://orchid-project.org/data/databases/sgte-binary/CrRe-98Hua-oldsigma.tdb) · [JSON](https://data.orchid-project.org/phase-diagrams/sgte/CrRe-98Hua-oldsigma.json) |

Table: Calculated three-phase invariants (model, mole fraction of the second component)

| TDB file | T (K) | Phases at the invariant |
|---|---:|---|
| CrRe-18Guo.tdb | 2608.06 | LIQUID (x(Re) 0.54485) + SIGMA_D8B (x(Re) 0.62883) + HCP_A3 (x(Re) 0.72632) |
| CrRe-18Guo.tdb | 2423.01 | LIQUID (x(Re) 0.39802) + BCC_A2 (x(Re) 0.49234) + SIGMA_D8B (x(Re) 0.59018) |
| CrRe-24Per.tdb | 2657.56 | LIQUID (x(Re) 0.64949) + SIGMA_D8B (x(Re) 0.69583) + HCP_A3 (x(Re) 0.83729) |
| CrRe-24Per.tdb | 2396.24 | LIQUID (x(Re) 0.41237) + BCC_A2 (x(Re) 0.44206) + SIGMA_D8B (x(Re) 0.50368) |
| CrRe-98Hua-newsigma.tdb | 2635.17 | LIQUID (x(Re) 0.45943) + SIGMA_D8B (x(Re) 0.62305) + HCP_A3 (x(Re) 0.77412) |
| CrRe-98Hua-newsigma.tdb | 2553.19 | LIQUID (x(Re) 0.39771) + BCC_A2 (x(Re) 0.49514) + SIGMA_D8B (x(Re) 0.59264) |
| CrRe-98Hua-newsigma.tdb | 451.57 | BCC_A2 (x(Re) 0.23903) + SIGMA_D8B (x(Re) 0.66007) + HCP_A3 (x(Re) 0.99749) |
| CrRe-98Hua-oldsigma.tdb | 2634.52 | LIQUID (x(Re) 0.45736) + SIGMA_OLD (x(Re) 0.62452) + HCP_A3 (x(Re) 0.7758) |
| CrRe-98Hua-oldsigma.tdb | 2553.5 | LIQUID (x(Re) 0.39684) + BCC_A2 (x(Re) 0.495) + SIGMA_OLD (x(Re) 0.59205) |
| CrRe-98Hua-oldsigma.tdb | 538.12 | BCC_A2 (x(Re) 0.25084) + SIGMA_OLD (x(Re) 0.65278) + HCP_A3 (x(Re) 0.99443) |

Convex hulls: [Materials Project DFT hull](https://data.orchid-project.org/hulls/dft-mp/CR/CR-RE.json) · [OQMD DFT hull](https://data.orchid-project.org/hulls/dft-oqmd/CR/CR-RE.json) · [CALPHAD hull CrRe-18Guo](https://data.orchid-project.org/hulls/calphad-sgte/CR/CR-RE--CrRe-18Guo.json) · [CALPHAD hull CrRe-98Hua-newsigma](https://data.orchid-project.org/hulls/calphad-sgte/CR/CR-RE--CrRe-98Hua-newsigma.json) · [CALPHAD hull CrRe-98Hua-oldsigma](https://data.orchid-project.org/hulls/calphad-sgte/CR/CR-RE--CrRe-98Hua-oldsigma.json)

## Invariant reactions (literature)

Table: Invariant reactions reported in the literature for the Cr–Re system (12)

| T (K) | Reaction / phases | Compositions (mole fraction) | Class | Source | Location | Quote |
|---:|---|---|---|---|---|---|
| 2635 | liquid + h.c.p. Re -> σ | liquid: Re 0.457; h.c.p. Re: Re 0.776; σ: Re 0.625 | model | [1] Palumbo 2010; _cites Huang 1998_ [doi](https://doi.org/10.1016/s0925-8388%2898%2900572-6) | Table 2, p. 8, row 3; `ORC-DL444QAE6Y` |  |
| 2635 | L + hcp = σ | L: Re 0.457; hcp: Re 0.776; σ: Re 0.625 | model | [2] Huang 1998 | Table 3, p. 4, row 2; `ORC-P7FB5W3KJI` |  |
| 2627 | liquid + h.c.p. Re -> σ | liquid: Re 0.48; h.c.p. Re: Re 0.75; σ: Re 0.63 | experimental | [1] Palumbo 2010; _cites Savitskii 1959_ | Table 2, p. 8, row 1; `ORC-NUIN4BC5W3` |  |
| 2627 | L + hcp = σ | L: Re 0.48; hcp: Re 0.75; σ: Re 0.63 | experimental | [2] Huang 1998 | Table 3, p. 4, row 1; `ORC-WS74RFU5XL` |  |
| 2614 | liquid + h.c.p. Re -> σ | liquid: Re 0.635; h.c.p. Re: Re 0.829; σ: Re 0.667 | model | [1] Palumbo 2010 | Table 2, p. 8, row 4; `ORC-5TE2HP3F2F` |  |
| 2608 | liquid + h.c.p. Re -> σ | h.c.p. Re: Re 0.83; σ: Re 0.72 | experimental | [1] Palumbo 2010; _cites Gritsiv 1999_ [doi](https://doi.org/10.1007/bf02676044) | Table 2, p. 8, row 2; `ORC-E5WRXYLJL2` |  |
| 2557 | L + σ = bcc | L: Re 0.4; σ: Re 0.58; bcc: Re 0.5 | experimental | [2] Huang 1998 | Table 3, p. 4, row 3; `ORC-OMSVXCJVAK` |  |
| 2557 | liquid + σ -> b.c.c. Cr | liquid: Re 0.41; σ: Re 0.57; b.c.c. Cr: Re 0.5 | experimental | [1] Palumbo 2010; _cites Savitskii 1959_ | Table 2, p. 8, row 5; `ORC-XDIXO4VKWM` |  |
| 2553 | liquid + σ -> b.c.c. Cr | liquid: Re 0.397; σ: Re 0.592; b.c.c. Cr: Re 0.495 | model | [1] Palumbo 2010; _cites Huang 1998_ [doi](https://doi.org/10.1016/s0925-8388%2898%2900572-6) | Table 2, p. 8, row 7; `ORC-FFO377P6L5` |  |
| 2553 | L + σ = bcc | L: Re 0.397; σ: Re 0.592; bcc: Re 0.495 | model | [2] Huang 1998 | Table 3, p. 4, row 4; `ORC-IK64HFD2QN` |  |
| 2423 | liquid + σ -> b.c.c. Cr | σ: Re 0.5; b.c.c. Cr: Re 0.43 | experimental | [1] Palumbo 2010; _cites Gritsiv 1999_ [doi](https://doi.org/10.1007/bf02676044) | Table 2, p. 8, row 6; `ORC-CTTEXH5N4O` |  |
| 2418 | liquid + σ -> b.c.c. Cr | liquid: Re 0.453; σ: Re 0.557; b.c.c. Cr: Re 0.482 | model | [1] Palumbo 2010 | Table 2, p. 8, row 8; `ORC-O6EGTRXWYW` |  |

## 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](https://data.orchid-project.org/literature/dft_parity.json).

Table: Enthalpies of formation, Cr–Re system (30)

| Phase | Compound | Value | T (K) | Class | MP DFT (kJ/mol-atom) | OQMD DFT (kJ/mol-atom) | Source | Location | Quote |
|---|---|---:|---:|---|---:|---:|---|---|---|
| sigma CrCrCrCrRe |  | 11.2 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 2; `ORC-SVCJWLU7O4.425a26` |  |
| sigma CrCrCrReCr |  | 12.8 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 3; `ORC-6C6U4O32PW.7a5458` |  |
| sigma CrCrCrReRe |  | 14.2 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 4; `ORC-HHWZQT4ZRW.389d7e` |  |
| sigma CrCrReCrCr |  | 4.8 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 5; `ORC-MWAOBM7KVD.fd6509` |  |
| sigma CrCrReCrRe |  | 3.2 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 6; `ORC-CPDKPV5EPK.fb522a` |  |
| sigma CrCrReReCr |  | 7.5 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 7; `ORC-RT5WBW3IRF.ba4c68` |  |
| sigma CrCrReReRe |  | 7.5 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 8; `ORC-SQ3Z2MJJCO.391690` |  |
| sigma CrReCrCrCr |  | 5.7 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 9; `ORC-2G5X7WUZNV.f3ad86` |  |
| sigma CrReCrCrRe |  | 5.4 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 10; `ORC-XCCOLQZ2PE.1f3f90` |  |
| sigma CrReCrReCr |  | 6.6 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 11; `ORC-NXV5MZWYVZ.40e4df` |  |
| sigma CrReCrReRe |  | 8.9 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 12; `ORC-2DC2JED7OP.95d3f8` |  |
| sigma CrReReCrCr |  | 1 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 13; `ORC-THGOOTZYOQ.a5c0dd` |  |
| sigma CrReReCrRe |  | 1.3 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 14; `ORC-IUFI6L23AQ.4e3220` |  |
| sigma CrReReReCr |  | 3.7 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 15; `ORC-XVKAXI6VI3.611a81` |  |
| sigma CrReReReRe |  | 6 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 16; `ORC-WCPWMTQK3N.910b1c` |  |
| sigma ReCrCrCrCr |  | 13.9 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 17; `ORC-LYRS4S5UV4.9c501c` |  |
| sigma ReCrCrCrRe |  | 13.6 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 18; `ORC-7U3QE7COIV.262b3f` |  |
| sigma ReCrCrReCr |  | 15 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 19; `ORC-PQJLJRX26T.8fc573` |  |
| sigma ReCrCrReRe |  | 16.8 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 20; `ORC-3BBKXWFDLX.db9632` |  |
| sigma ReCrReCrCr |  | 5.6 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 21; `ORC-G7JPHP6Q3Y.11a3a0` |  |
| sigma ReCrReCrRe |  | 5.1 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 22; `ORC-HJCE7FJDVI.a9cde8` |  |
| sigma ReCrReReCr |  | 10 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 23; `ORC-ABAFGO6RFJ.fb2ccd` |  |
| sigma ReCrReReRe |  | 10.8 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 24; `ORC-XL547PLTFS.060120` |  |
| sigma ReReCrCrCr |  | 8.2 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 25; `ORC-ERTEHM4ZHT.a27526` |  |
| sigma ReReCrCrRe |  | 8 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 26; `ORC-7Q67Y5AAUP.c0b705` |  |
| sigma ReReCrReCr |  | 9.6 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 27; `ORC-ECFNA3MRAU.17b53d` |  |
| sigma ReReCrReRe |  | 11.7 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 28; `ORC-OUHRIRWERS.0cb1fb` |  |
| sigma ReReReCrCr |  | 2.2 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 29; `ORC-MTKKNK4CPD.d27d84` |  |
| sigma ReReReCrRe |  | 3.4 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 30; `ORC-TKEA3B5XJN.ffffff` |  |
| sigma ReReReReCr |  | 6.3 kJ/mol-atom | 0 | DFT |  |  | [1] Palumbo 2010 | Table 1, p. 4, row 31; `ORC-ZTNMA6TSUQ.418ae0` |  |

## Other properties

### Crystal structure (60)

Table: Crystal structure, Cr–Re system

| Property | Value | T (K) | Phases / composition | Class | Source | Location | Quote |
|---|---:|---:|---|---|---|---|---|
| Lattice a; _printed: a_ | 8.835 Å | 0 | sigma CrCrCrCrRe; _alloy: Cr 0.733, Re 0.267_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 2; `ORC-J3FSULJBIW.fbff8b` |  |
| Lattice a; _printed: a_ | 9.112 Å | 0 | sigma CrCrCrReCr; _alloy: Cr 0.733, Re 0.267_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 3; `ORC-GBUJ3U3ZLX.4ede89` |  |
| Lattice a; _printed: a_ | 9.183 Å | 0 | sigma CrCrCrReRe; _alloy: Cr 0.467, Re 0.533_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 4; `ORC-HPKIE4MOZB.a39046` |  |
| Lattice a; _printed: a_ | 9.019 Å | 0 | sigma CrCrReCrCr; _alloy: Cr 0.733, Re 0.267_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 5; `ORC-3PS2GFNCHS.115995` |  |
| Lattice a; _printed: a_ | 9.075 Å | 0 | sigma CrCrReCrRe; _alloy: Cr 0.467, Re 0.533_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 6; `ORC-4BGILY3U4F.beffef` |  |
| Lattice a; _printed: a_ | 9.347 Å | 0 | sigma CrCrReReCr; _alloy: Cr 0.467, Re 0.533_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 7; `ORC-7X5RYIUSI6.a14363` |  |
| Lattice a; _printed: a_ | 9.389 Å | 0 | sigma CrCrReReRe; _alloy: Cr 0.2, Re 0.8_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 8; `ORC-NEYDW7OYPR.050e71` |  |
| Lattice a; _printed: a_ | 8.855 Å | 0 | sigma CrReCrCrCr; _alloy: Cr 0.867, Re 0.133_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 9; `ORC-LR4PZEHJUI.126650` |  |
| Lattice a; _printed: a_ | 8.932 Å | 0 | sigma CrReCrCrRe; _alloy: Cr 0.6, Re 0.4_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 10; `ORC-EQEFFZQ5BD.851786` |  |
| Lattice a; _printed: a_ | 9.175 Å | 0 | sigma CrReCrReCr; _alloy: Cr 0.6, Re 0.4_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 11; `ORC-FELHYZMZAH.c60833` |  |
| Lattice a; _printed: a_ | 9.234 Å | 0 | sigma CrReCrReRe; _alloy: Cr 0.333, Re 0.667_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 12; `ORC-M5LDQQSQJ5.eaa39d` |  |
| Lattice a; _printed: a_ | 9.171 Å | 0 | sigma CrReReCrCr; _alloy: Cr 0.6, Re 0.4_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 13; `ORC-Y4QK4H5K7M.cd4e44` |  |
| Lattice a; _printed: a_ | 9.206 Å | 0 | sigma CrReReCrRe; _alloy: Cr 0.333, Re 0.667_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 14; `ORC-PY4NEBWYT2.bab482` |  |
| Lattice a; _printed: a_ | 9.435 Å | 0 | sigma CrReReReCr; _alloy: Cr 0.333, Re 0.667_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 15; `ORC-RTQXLEHLU6.94cbdc` |  |
| Lattice a; _printed: a_ | 9.469 Å | 0 | sigma CrReReReRe; _alloy: Cr 0.067, Re 0.933_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 16; `ORC-VJO6LRU7NK.7a4de3` |  |
| Lattice a; _printed: a_ | 8.856 Å | 0 | sigma ReCrCrCrCr; _alloy: Cr 0.933, Re 0.067_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 17; `ORC-JC4MTMELH3.5653e1` |  |
| Lattice a; _printed: a_ | 8.942 Å | 0 | sigma ReCrCrCrRe; _alloy: Cr 0.667, Re 0.333_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 18; `ORC-MXMW3XDFZN.4bfd37` |  |
| Lattice a; _printed: a_ | 9.222 Å | 0 | sigma ReCrCrReCr; _alloy: Cr 0.667, Re 0.333_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 19; `ORC-LF3UIZMZXG.b9ce01` |  |
| Lattice a; _printed: a_ | 9.268 Å | 0 | sigma ReCrCrReRe; _alloy: Cr 0.4, Re 0.6_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 20; `ORC-RF4OGLHJRB.5e3de4` |  |
| Lattice a; _printed: a_ | 9.116 Å | 0 | sigma ReCrReCrCr; _alloy: Cr 0.667, Re 0.333_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 21; `ORC-4Q46OBSXD6.91af5e` |  |
| Lattice a; _printed: a_ | 9.164 Å | 0 | sigma ReCrReCrRe; _alloy: Cr 0.4, Re 0.6_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 22; `ORC-KTXYVHKSLL.d76f7a` |  |
| Lattice a; _printed: a_ | 9.442 Å | 0 | sigma ReCrReReCr; _alloy: Cr 0.4, Re 0.6_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 23; `ORC-XHJ3K2ULJD.38f5f2` |  |
| Lattice a; _printed: a_ | 9.478 Å | 0 | sigma ReCrReReRe; _alloy: Cr 0.133, Re 0.867_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 24; `ORC-XD4VUI4RIM.cbf106` |  |
| Lattice a; _printed: a_ | 8.951 Å | 0 | sigma ReReCrCrCr; _alloy: Cr 0.8, Re 0.2_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 25; `ORC-ZWYLCU2KKX.db3e88` |  |
| Lattice a; _printed: a_ | 9.019 Å | 0 | sigma ReReCrCrRe; _alloy: Cr 0.533, Re 0.467_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 26; `ORC-KEKTBAM25W.eaa5d1` |  |
| Lattice a; _printed: a_ | 9.265 Å | 0 | sigma ReReCrReCr; _alloy: Cr 0.533, Re 0.467_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 27; `ORC-JTBZCTTR6U.196f7a` |  |
| Lattice a; _printed: a_ | 9.333 Å | 0 | sigma ReReCrReRe; _alloy: Cr 0.267, Re 0.733_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 28; `ORC-LWPS76S3UH.98091f` |  |
| Lattice a; _printed: a_ | 9.252 Å | 0 | sigma ReReReCrCr; _alloy: Cr 0.533, Re 0.467_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 29; `ORC-ZTP5TQH5VE.dc1b94` |  |
| Lattice a; _printed: a_ | 9.284 Å | 0 | sigma ReReReCrRe; _alloy: Cr 0.267, Re 0.733_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 30; `ORC-FBGXDX2YMW.188e94` |  |
| Lattice a; _printed: a_ | 9.527 Å | 0 | sigma ReReReReCr; _alloy: Cr 0.267, Re 0.733_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 31; `ORC-YZ2HX744FY.082473` |  |
| Lattice c; _printed: c_ | 4.904 Å | 0 | sigma CrCrCrCrRe; _alloy: Cr 0.733, Re 0.267_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 2; `ORC-J3FSULJBIW.d46421` |  |
| Lattice c; _printed: c_ | 4.644 Å | 0 | sigma CrCrCrReCr; _alloy: Cr 0.733, Re 0.267_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 3; `ORC-GBUJ3U3ZLX.323d7e` |  |
| Lattice c; _printed: c_ | 4.934 Å | 0 | sigma CrCrCrReRe; _alloy: Cr 0.467, Re 0.533_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 4; `ORC-HPKIE4MOZB.1dbbf4` |  |
| Lattice c; _printed: c_ | 4.641 Å | 0 | sigma CrCrReCrCr; _alloy: Cr 0.733, Re 0.267_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 5; `ORC-3PS2GFNCHS.cf8af7` |  |
| Lattice c; _printed: c_ | 4.934 Å | 0 | sigma CrCrReCrRe; _alloy: Cr 0.467, Re 0.533_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 6; `ORC-4BGILY3U4F.e5ec0c` |  |
| Lattice c; _printed: c_ | 4.734 Å | 0 | sigma CrCrReReCr; _alloy: Cr 0.467, Re 0.533_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 7; `ORC-7X5RYIUSI6.d1a3df` |  |
| Lattice c; _printed: c_ | 4.99 Å | 0 | sigma CrCrReReRe; _alloy: Cr 0.2, Re 0.8_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 8; `ORC-NEYDW7OYPR.3bfee2` |  |
| Lattice c; _printed: c_ | 4.611 Å | 0 | sigma CrReCrCrCr; _alloy: Cr 0.867, Re 0.133_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 9; `ORC-LR4PZEHJUI.078354` |  |
| Lattice c; _printed: c_ | 4.918 Å | 0 | sigma CrReCrCrRe; _alloy: Cr 0.6, Re 0.4_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 10; `ORC-EQEFFZQ5BD.dd5805` |  |
| Lattice c; _printed: c_ | 4.695 Å | 0 | sigma CrReCrReCr; _alloy: Cr 0.6, Re 0.4_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 11; `ORC-FELHYZMZAH.85c7a6` |  |
| Lattice c; _printed: c_ | 4.97 Å | 0 | sigma CrReCrReRe; _alloy: Cr 0.333, Re 0.667_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 12; `ORC-M5LDQQSQJ5.c35ca8` |  |
| Lattice c; _printed: c_ | 4.654 Å | 0 | sigma CrReReCrCr; _alloy: Cr 0.6, Re 0.4_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 13; `ORC-Y4QK4H5K7M.cfdddb` |  |
| Lattice c; _printed: c_ | 4.931 Å | 0 | sigma CrReReCrRe; _alloy: Cr 0.333, Re 0.667_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 14; `ORC-PY4NEBWYT2.8185f2` |  |
| Lattice c; _printed: c_ | 4.771 Å | 0 | sigma CrReReReCr; _alloy: Cr 0.333, Re 0.667_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 15; `ORC-RTQXLEHLU6.e8206e` |  |
| Lattice c; _printed: c_ | 5.006 Å | 0 | sigma CrReReReRe; _alloy: Cr 0.067, Re 0.933_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 16; `ORC-VJO6LRU7NK.6cedad` |  |
| Lattice c; _printed: c_ | 4.578 Å | 0 | sigma ReCrCrCrCr; _alloy: Cr 0.933, Re 0.067_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 17; `ORC-JC4MTMELH3.5630e0` |  |
| Lattice c; _printed: c_ | 4.907 Å | 0 | sigma ReCrCrCrRe; _alloy: Cr 0.667, Re 0.333_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 18; `ORC-MXMW3XDFZN.bc95b9` |  |
| Lattice c; _printed: c_ | 4.643 Å | 0 | sigma ReCrCrReCr; _alloy: Cr 0.667, Re 0.333_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 19; `ORC-LF3UIZMZXG.fa18f3` |  |
| Lattice c; _printed: c_ | 4.956 Å | 0 | sigma ReCrCrReRe; _alloy: Cr 0.4, Re 0.6_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 20; `ORC-RF4OGLHJRB.4b3203` |  |
| Lattice c; _printed: c_ | 4.651 Å | 0 | sigma ReCrReCrCr; _alloy: Cr 0.667, Re 0.333_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 21; `ORC-4Q46OBSXD6.6f5274` |  |
| Lattice c; _printed: c_ | 4.939 Å | 0 | sigma ReCrReCrRe; _alloy: Cr 0.4, Re 0.6_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 22; `ORC-KTXYVHKSLL.64e3cd` |  |
| Lattice c; _printed: c_ | 4.748 Å | 0 | sigma ReCrReReCr; _alloy: Cr 0.4, Re 0.6_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 23; `ORC-XHJ3K2ULJD.b179a0` |  |
| Lattice c; _printed: c_ | 4.993 Å | 0 | sigma ReCrReReRe; _alloy: Cr 0.133, Re 0.867_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 24; `ORC-XD4VUI4RIM.0cfdfe` |  |
| Lattice c; _printed: c_ | 4.636 Å | 0 | sigma ReReCrCrCr; _alloy: Cr 0.8, Re 0.2_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 25; `ORC-ZWYLCU2KKX.ab5365` |  |
| Lattice c; _printed: c_ | 4.924 Å | 0 | sigma ReReCrCrRe; _alloy: Cr 0.533, Re 0.467_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 26; `ORC-KEKTBAM25W.75ee0e` |  |
| Lattice c; _printed: c_ | 4.71 Å | 0 | sigma ReReCrReCr; _alloy: Cr 0.533, Re 0.467_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 27; `ORC-JTBZCTTR6U.e5e882` |  |
| Lattice c; _printed: c_ | 4.962 Å | 0 | sigma ReReCrReRe; _alloy: Cr 0.267, Re 0.733_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 28; `ORC-LWPS76S3UH.deeebb` |  |
| Lattice c; _printed: c_ | 4.676 Å | 0 | sigma ReReReCrCr; _alloy: Cr 0.533, Re 0.467_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 29; `ORC-ZTP5TQH5VE.0eaada` |  |
| Lattice c; _printed: c_ | 4.939 Å | 0 | sigma ReReReCrRe; _alloy: Cr 0.267, Re 0.733_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 30; `ORC-FBGXDX2YMW.f63cc6` |  |
| Lattice c; _printed: c_ | 4.777 Å | 0 | sigma ReReReReCr; _alloy: Cr 0.267, Re 0.733_ | DFT | [1] Palumbo 2010 | Table 1, p. 4, row 31; `ORC-YZ2HX744FY.b21e2e` |  |

## 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](https://doi.org/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](https://doi.org/10.1016/s0925-8388%2898%2900572-6)

## Please cite

- R. Arróyave, J. Saal, D. Shin, ORCHID-Values: thermodynamic and phase-equilibrium values read from the literature (version 2026.10; Version 1, machine-extracted), Zenodo (2026). https://doi.org/10.5281/zenodo.23735569
- R. Arróyave, J. Saal, D. Shin, ORCHID-Diagrams: calculated binary phase diagrams (version 2026.10), Zenodo (2026). https://doi.org/10.5281/zenodo.23735859
- R. Arróyave, J. Saal, D. Shin, ORCHID-Hulls: binary convex hulls (Materials Project, OQMD, assessed CALPHAD) (version 2026.10), Zenodo (2026). https://doi.org/10.5281/zenodo.23735891
- R. Arróyave, J. Saal, D. Shin, ORCHID data: umbrella record of the ORCHID datasets (version 2026.10; Version 1, machine-extracted), Zenodo (2026). https://doi.org/10.5281/zenodo.23736065

Also cite the original source of every value you use (paper_citation / paper_doi, and cited_dois for values the paper cites from earlier work); B. Hallstedt, The SGTE collection of binary datasets, Calphad 89 (2025) 102833, https://doi.org/10.1016/j.calphad.2025.102833 (CC BY 4.0), and the original assessment named in each file; A. Jain et al., The Materials Project: A materials genome approach to accelerating materials innovation, APL Materials 1 (2013) 011002, https://doi.org/10.1063/1.4812323 (CC BY 4.0); J. E. Saal et al., JOM 65 (2013) 1501, https://doi.org/10.1007/s11837-013-0755-4 and S. Kirklin et al., npj Comput. Mater. 1 (2015) 15010, https://doi.org/10.1038/npjcompumats.2015.10 (CC BY 4.0).

Version 1, machine-extracted: values were read by language-model readers constrained to quote their source and checked automatically, and the release was then audited on the printed pages by adversarial audits, an independent second review of fit-facing records and a preliminary human review of a frozen sample. Flags such as accepted and ESPEI-ready record screening results, not certification; known issues are listed in the release notes.

```bibtex
@misc{orchid_literature_2026,
  author    = {Arr{\'o}yave, Raymundo and Saal, James and Shin, Dongwon},
  title     = {{ORCHID-Values: thermodynamic and phase-equilibrium values read from the literature}},
  version   = {2026.10},
  publisher = {Zenodo},
  year      = {2026},
  doi       = {10.5281/zenodo.23735569},
  url       = {https://doi.org/10.5281/zenodo.23735569},
  note      = {Version 1, machine-extracted}
}

@misc{orchid_phase_diagrams_2026,
  author    = {Arr{\'o}yave, Raymundo and Saal, James and Shin, Dongwon},
  title     = {{ORCHID-Diagrams: calculated binary phase diagrams}},
  version   = {2026.10},
  publisher = {Zenodo},
  year      = {2026},
  doi       = {10.5281/zenodo.23735859},
  url       = {https://doi.org/10.5281/zenodo.23735859}
}

@misc{orchid_hulls_2026,
  author    = {Arr{\'o}yave, Raymundo and Saal, James and Shin, Dongwon},
  title     = {{ORCHID-Hulls: binary convex hulls (Materials Project, OQMD, assessed CALPHAD)}},
  version   = {2026.10},
  publisher = {Zenodo},
  year      = {2026},
  doi       = {10.5281/zenodo.23735891},
  url       = {https://doi.org/10.5281/zenodo.23735891}
}

@misc{orchid_data_2026,
  author    = {Arr{\'o}yave, Raymundo and Saal, James and Shin, Dongwon},
  title     = {{ORCHID data: umbrella record of the ORCHID datasets}},
  version   = {2026.10},
  publisher = {Zenodo},
  year      = {2026},
  doi       = {10.5281/zenodo.23736065},
  url       = {https://doi.org/10.5281/zenodo.23736065},
  note      = {Version 1, machine-extracted}
}
```

---

Derived data CC BY 4.0 ([licence](https://creativecommons.org/licenses/by/4.0/)): cite ORCHID ([CITATION.cff](https://data.orchid-project.org/CITATION.cff)) and the original sources. Quotes are short excerpts kept so that each value can be checked; they remain under the publishers' copyright and are not relicensed. Source papers, page images and full text are not redistributed. Field reference: [SCHEMA.md](https://data.orchid-project.org/literature/SCHEMA.md). Machine-readable guide: [llms.txt](https://data.orchid-project.org/llms.txt). Found an error? The report link of a value (Markdown: its id, ORC-..., in the Location column) opens a pre-filled GitHub issue, https://github.com/orchid-calphad/orchid-data/issues/new?template=report-value-error.yml&record_id=\<id>, carrying only the record id, source and value; [how to contribute](https://orchid-project.org/contribute/).