# Bi–Sr phases

> Bi–Sr system: 10 phases (tier A 6, tier B 1, tier C 2, liquid 1); 9 stable in a calculated diagram in the ORCHID phase registry, with names, structure type when the stored evidence supports an assignment under the stated tier rules, calculated stability, verbatim TDB PHASE/CONSTITUENT statements and example references.

HTML: https://data.orchid-project.org/phases/pages/BI-SR.html · Markdown: https://data.orchid-project.org/phases/pages/BI-SR.md

10 phases (tier A 6, tier B 1, tier C 2, liquid 1); 9 stable in a calculated diagram. Structure types are assigned only when the stored evidence supports an assignment under the stated tier rules (tier A: standard phase name; tier B: unique Materials Project + OQMD on-hull match, DFT-supported; tier C: one structure stated by the assessment's crystallographic table, assessor-stated); other phases list candidates and are marked needs_review. Stability is from phase diagrams calculated with pycalphad from the SGTE binary collection (evidence class: model).

Data: [interactive registry](https://orchid-project.org/phases/?q=BI-SR) · [full JSON](https://data.orchid-project.org/phases/systems/BI-SR.json) · [Bi–Sr system page](https://data.orchid-project.org/systems/BI-SR.html) · [Markdown](https://data.orchid-project.org/phases/pages/BI-SR.md) · [field reference](https://data.orchid-project.org/phases/SCHEMA.md)

Table: Phases of the Bi–Sr system (10)

| Phase | Structure | Basis | Stability (calculated) | Literature values | TDB models |
|---|---|---|---|---:|---:|
| [RHOMBOHEDRAL_A7](#phase-bi-sr-a7-rhombohedral); _phase:bi-sr:a7-rhombohedral_ | alpha-As · A7 · hR2 · R-3m (166) | tier A: standard phase name | stable in 1 of 1 calculated diagram(s): 300–546.24 K, x(Sr) 0–0 | 0 | 1 |
| [BCC_A2](#phase-bi-sr-bcc-a2); _phase:bi-sr:bcc-a2_ | W · A2 · cI2 · Im-3m (229) | tier A: standard phase name | stable in 1 of 1 calculated diagram(s): 820–2500 K, x(Sr) 1–1 | 0 | 1 |
| [BI10SR11](#phase-bi-sr-bi10sr11); _phase:bi-sr:bi10sr11_ | Ge10Ho11 · tI84 · I4/mmm (139) | tier B: DFT-supported (unique MP + OQMD match) | stable in 1 of 1 calculated diagram(s): 300–882.96 K, x(Sr) 0.52381–0.52381 | 0 | 1 |
| [BI3SR_L12](#phase-bi-sr-bi3sr-l12); _phase:bi-sr:bi3sr-l12_ | AuCu3 · L1_2 · cP4 · Pm-3m (221) | tier A: standard phase name | stable in 1 of 1 calculated diagram(s): 300–833.54 K, x(Sr) 0.25–0.25 | 0 | 1 |
| [BI3SR5_HT](#phase-bi-sr-bi3sr5); _phase:bi-sr:bi3sr5_ | Sb3Yb5 · oP32 · Pnma (62) | tier C: assessor-stated (Hallstedt 2025 crystallographic table) | stable in 1 of 1 calculated diagram(s): 973.24–1217.55 K, x(Sr) 0.625–0.625 | 0 | 1 |
| [BI3SR5_D88](#phase-bi-sr-bi3sr5-d88); _phase:bi-sr:bi3sr5-d88_ | Mn5Si3 · D8_8 · hP16 · P6_3/mcm (193) | tier A: standard phase name | stable in 1 of 1 calculated diagram(s): 300–973.24 K, x(Sr) 0.625–0.625 | 0 | 1 |
| [BISR2](#phase-bi-sr-bisr2); _phase:bi-sr:bisr2_ | La2Sb · tI12 · I4/mmm (139) | tier C: assessor-stated (Hallstedt 2025 crystallographic table) | stable in 1 of 1 calculated diagram(s): 300–1128.62 K, x(Sr) 0.66667–0.66667 | 0 | 1 |
| [FCC_A1](#phase-bi-sr-fcc-a1); _phase:bi-sr:fcc-a1_ | Cu · A1 · cF4 · Fm-3m (225) | tier A: standard phase name | stable in 1 of 1 calculated diagram(s): 300–820 K, x(Sr) 1–1 | 0 | 1 |
| [HCP_A3](#phase-bi-sr-hcp-a3); _phase:bi-sr:hcp-a3_ | Mg · A3 · hP2 · P6_3/mmc (194) | tier A: standard phase name | not stable in 1 calculated diagram(s) | 0 | 1 |
| [LIQUID](#phase-bi-sr-liquid); _phase:bi-sr:liquid_ | liquid | liquid | stable in 1 of 1 calculated diagram(s): 531.24–2500 K, x(Sr) 0–1 | 0 | 1 |

## RHOMBOHEDRAL_A7 (Bi–Sr)

- Id: `phase:bi-sr:a7-rhombohedral`; status `assigned`
- Structure: alpha-As · A7 · hR2 · R-3m (166); type `st:a7-alpha-as-hr2`; tier A: standard phase name; confidence high
- Stoichiometry: Bi 1.0000
- Stability: stable in 1 of 1 calculated diagram(s): 300–546.24 K, x(Sr) 0–0
- Literature: 0 values (0 accepted) from 0 papers
- Interactive: [phase registry entry](https://orchid-project.org/phases/#phase:bi-sr:a7-rhombohedral)

Names (2): _corpus: _corpus:phase:bi-sr:a7-rhombohedral  
_tdb: _tdb:BiSr-14Wan.tdb:RHOMBOHEDRAL_A7  


### TDB models of RHOMBOHEDRAL_A7 (1): PHASE and CONSTITUENT statements as written

[BiSr-14Wan.tdb](https://orchid-project.org/data/databases/sgte-binary/BiSr-14Wan.tdb): RHOMBOHEDRAL_A7, type code %, sha256 `eae858ed7dbeda75…`

~~~~text
41: PHASE RHOMBOHEDRAL_A7 % 1 1 !
42: CONST RHOMBOHEDRAL_A7 : BI : !
~~~~

Example references (1 of 1; assessments first): 

- [doi:10.1016/j.calphad.2013.12.001](https://doi.org/10.1016/j.calphad.2013.12.001) Yao Wang, Jinghua Xin, Chong Chen, Shuhong Liu, Biao Hu, Yong Du, Thermodynamic assessment of the Sr–In and Sr–Bi systems supported by first-principles calculations, Calphad 45, 49-54 (2014).  
_assessment that models this phase_

## BCC_A2 (Bi–Sr)

- Id: `phase:bi-sr:bcc-a2`; status `assigned`
- Structure: W · A2 · cI2 · Im-3m (229); type `st:a2-w-ci2`; tier A: standard phase name; confidence high
- Stability: stable in 1 of 1 calculated diagram(s): 820–2500 K, x(Sr) 1–1
- Literature: 0 values (0 accepted) from 0 papers
- Interactive: [phase registry entry](https://orchid-project.org/phases/#phase:bi-sr:bcc-a2)

Names (2): _corpus: _corpus:phase:bi-sr:bcc-a2  
_tdb: _tdb:BiSr-14Wan.tdb:BCC_A2  


### TDB models of BCC_A2 (1): PHASE and CONSTITUENT statements as written

[BiSr-14Wan.tdb](https://orchid-project.org/data/databases/sgte-binary/BiSr-14Wan.tdb): BCC_A2, type code %B, sha256 `eae858ed7dbeda75…`

~~~~text
31: PHASE BCC_A2 %B 2 1 3 !
32: CONST BCC_A2 : BI SR% : VA : !
~~~~

Example references (1 of 1; assessments first): 

- [doi:10.1016/j.calphad.2013.12.001](https://doi.org/10.1016/j.calphad.2013.12.001) Yao Wang, Jinghua Xin, Chong Chen, Shuhong Liu, Biao Hu, Yong Du, Thermodynamic assessment of the Sr–In and Sr–Bi systems supported by first-principles calculations, Calphad 45, 49-54 (2014).  
_assessment that models this phase_

## BI10SR11 (Bi–Sr)

- Id: `phase:bi-sr:bi10sr11`; status `assigned`
- Structure: Ge10Ho11 · tI84 · I4/mmm (139); type `st:ge10ho11-ti84`; tier B: DFT-supported (unique MP + OQMD match); confidence high
- Stoichiometry: Bi 0.4762, Sr 0.5238
- Stability: stable in 1 of 1 calculated diagram(s): 300–882.96 K, x(Sr) 0.52381–0.52381
- Literature: 0 values (0 accepted) from 0 papers
- Interactive: [phase registry entry](https://orchid-project.org/phases/#phase:bi-sr:bi10sr11)

Names (4): _corpus: _corpus:phase:bi-sr:bi10sr11  
_mp: _mp:mp-aaaabsvp  
_oqmd: _oqmd:oqmd-50743  
_tdb: _tdb:BiSr-14Wan.tdb:BI10SR11  


### TDB models of BI10SR11 (1): PHASE and CONSTITUENT statements as written

[BiSr-14Wan.tdb](https://orchid-project.org/data/databases/sgte-binary/BiSr-14Wan.tdb): BI10SR11, type code %, sha256 `eae858ed7dbeda75…`

~~~~text
51: PHASE BI10SR11 % 2 10 11 !
52: CONST BI10SR11 : BI : SR : !
~~~~

Example references (1 of 1; assessments first): 

- [doi:10.1016/j.calphad.2013.12.001](https://doi.org/10.1016/j.calphad.2013.12.001) Yao Wang, Jinghua Xin, Chong Chen, Shuhong Liu, Biao Hu, Yong Du, Thermodynamic assessment of the Sr–In and Sr–Bi systems supported by first-principles calculations, Calphad 45, 49-54 (2014).  
_assessment that models this phase_

## BI3SR_L12 (Bi–Sr)

- Id: `phase:bi-sr:bi3sr-l12`; status `assigned`
- Structure: AuCu3 · L1_2 · cP4 · Pm-3m (221); type `st:l1-2-aucu3-cp4`; tier A: standard phase name; confidence high
- Stoichiometry: Bi 0.7500, Sr 0.2500
- Stability: stable in 1 of 1 calculated diagram(s): 300–833.54 K, x(Sr) 0.25–0.25
- Literature: 0 values (0 accepted) from 0 papers
- Interactive: [phase registry entry](https://orchid-project.org/phases/#phase:bi-sr:bi3sr-l12)

Names (2): _corpus: _corpus:phase:bi-sr:bi3sr-l12  
_tdb: _tdb:BiSr-14Wan.tdb:BI3SR_L12  


### TDB models of BI3SR_L12 (1): PHASE and CONSTITUENT statements as written

[BiSr-14Wan.tdb](https://orchid-project.org/data/databases/sgte-binary/BiSr-14Wan.tdb): BI3SR_L12, type code %, sha256 `eae858ed7dbeda75…`

~~~~text
46: PHASE BI3SR_L12 % 2 3 1 !
47: CONST BI3SR_L12 : BI : SR : !
~~~~

Example references (1 of 1; assessments first): 

- [doi:10.1016/j.calphad.2013.12.001](https://doi.org/10.1016/j.calphad.2013.12.001) Yao Wang, Jinghua Xin, Chong Chen, Shuhong Liu, Biao Hu, Yong Du, Thermodynamic assessment of the Sr–In and Sr–Bi systems supported by first-principles calculations, Calphad 45, 49-54 (2014).  
_assessment that models this phase_

## BI3SR5_HT (Bi–Sr)

- Id: `phase:bi-sr:bi3sr5`; status `assigned`
- Structure: Sb3Yb5 · oP32 · Pnma (62); type `st:sb3yb5-op32`; tier C: assessor-stated (Hallstedt 2025 crystallographic table); confidence assessor-stated
- Structure source: B. Hallstedt, The SGTE collection of binary datasets, Calphad 89 (2025) 102833, supplementary crystallographic table (mmc2) [doi:10.1016/j.calphad.2025.102833](https://doi.org/10.1016/j.calphad.2025.102833)
- Caveat: not certain from the name or DFT alone (no_structure_token, polymorph_family:other phases of this system have the same composition); structure as stated in the SGTE crystallographic table for this phase name and system
- Stoichiometry: Bi 0.3750, Sr 0.6250
- Stability: stable in 1 of 1 calculated diagram(s): 973.24–1217.55 K, x(Sr) 0.625–0.625
- Literature: 0 values (0 accepted) from 0 papers
- Interactive: [phase registry entry](https://orchid-project.org/phases/#phase:bi-sr:bi3sr5)

Names (2): _corpus: _corpus:phase:bi-sr:bi3sr5  
_tdb: _tdb:BiSr-14Wan.tdb:BI3SR5_HT  


### TDB models of BI3SR5_HT (1): PHASE and CONSTITUENT statements as written

[BiSr-14Wan.tdb](https://orchid-project.org/data/databases/sgte-binary/BiSr-14Wan.tdb): BI3SR5_HT, type code %, sha256 `eae858ed7dbeda75…`

~~~~text
61: PHASE BI3SR5_HT % 2 3 5 !
62: CONST BI3SR5_HT : BI : SR : !
~~~~

Example references (1 of 1; assessments first): 

- [doi:10.1016/j.calphad.2013.12.001](https://doi.org/10.1016/j.calphad.2013.12.001) Yao Wang, Jinghua Xin, Chong Chen, Shuhong Liu, Biao Hu, Yong Du, Thermodynamic assessment of the Sr–In and Sr–Bi systems supported by first-principles calculations, Calphad 45, 49-54 (2014).  
_assessment that models this phase_

## BI3SR5_D88 (Bi–Sr)

- Id: `phase:bi-sr:bi3sr5-d88`; status `assigned`
- Structure: Mn5Si3 · D8_8 · hP16 · P6_3/mcm (193); type `st:d8-8-mn5si3-hp16`; tier A: standard phase name; confidence high
- Stoichiometry: Bi 0.3750, Sr 0.6250
- Stability: stable in 1 of 1 calculated diagram(s): 300–973.24 K, x(Sr) 0.625–0.625
- Literature: 0 values (0 accepted) from 0 papers
- Interactive: [phase registry entry](https://orchid-project.org/phases/#phase:bi-sr:bi3sr5-d88)

Names (2): _corpus: _corpus:phase:bi-sr:bi3sr5-d88  
_tdb: _tdb:BiSr-14Wan.tdb:BI3SR5_D88  


### TDB models of BI3SR5_D88 (1): PHASE and CONSTITUENT statements as written

[BiSr-14Wan.tdb](https://orchid-project.org/data/databases/sgte-binary/BiSr-14Wan.tdb): BI3SR5_D88, type code %, sha256 `eae858ed7dbeda75…`

~~~~text
56: PHASE BI3SR5_D88 % 2 3 5 !
57: CONST BI3SR5_D88 : BI : SR : !
~~~~

Example references (1 of 1; assessments first): 

- [doi:10.1016/j.calphad.2013.12.001](https://doi.org/10.1016/j.calphad.2013.12.001) Yao Wang, Jinghua Xin, Chong Chen, Shuhong Liu, Biao Hu, Yong Du, Thermodynamic assessment of the Sr–In and Sr–Bi systems supported by first-principles calculations, Calphad 45, 49-54 (2014).  
_assessment that models this phase_

## BISR2 (Bi–Sr)

- Id: `phase:bi-sr:bisr2`; status `assigned`
- Structure: La2Sb · tI12 · I4/mmm (139); type `st:la2sb-ti12`; tier C: assessor-stated (Hallstedt 2025 crystallographic table); confidence assessor-stated
- Structure source: B. Hallstedt, The SGTE collection of binary datasets, Calphad 89 (2025) 102833, supplementary crystallographic table (mmc2) [doi:10.1016/j.calphad.2025.102833](https://doi.org/10.1016/j.calphad.2025.102833)
- Caveat: not certain from the name or DFT alone (no_on_hull_entry_in_both, no_structure_token); structure as stated in the SGTE crystallographic table for this phase name and system
- Stoichiometry: Bi 0.3333, Sr 0.6667
- Stability: stable in 1 of 1 calculated diagram(s): 300–1128.62 K, x(Sr) 0.66667–0.66667
- Literature: 0 values (0 accepted) from 0 papers
- Interactive: [phase registry entry](https://orchid-project.org/phases/#phase:bi-sr:bisr2)

Names (2): _corpus: _corpus:phase:bi-sr:bisr2  
_tdb: _tdb:BiSr-14Wan.tdb:BISR2  


### TDB models of BISR2 (1): PHASE and CONSTITUENT statements as written

[BiSr-14Wan.tdb](https://orchid-project.org/data/databases/sgte-binary/BiSr-14Wan.tdb): BISR2, type code %, sha256 `eae858ed7dbeda75…`

~~~~text
66: PHASE BISR2 % 2 1 2 !
67: CONST BISR2 : BI : SR : !
~~~~

Example references (1 of 1; assessments first): 

- [doi:10.1016/j.calphad.2013.12.001](https://doi.org/10.1016/j.calphad.2013.12.001) Yao Wang, Jinghua Xin, Chong Chen, Shuhong Liu, Biao Hu, Yong Du, Thermodynamic assessment of the Sr–In and Sr–Bi systems supported by first-principles calculations, Calphad 45, 49-54 (2014).  
_assessment that models this phase_

## FCC_A1 (Bi–Sr)

- Id: `phase:bi-sr:fcc-a1`; status `assigned`
- Structure: Cu · A1 · cF4 · Fm-3m (225); type `st:a1-cu-cf4`; tier A: standard phase name; confidence high
- Stability: stable in 1 of 1 calculated diagram(s): 300–820 K, x(Sr) 1–1
- Literature: 0 values (0 accepted) from 0 papers
- Interactive: [phase registry entry](https://orchid-project.org/phases/#phase:bi-sr:fcc-a1)

Names (2): _corpus: _corpus:phase:bi-sr:fcc-a1  
_tdb: _tdb:BiSr-14Wan.tdb:FCC_A1  


### TDB models of FCC_A1 (1): PHASE and CONSTITUENT statements as written

[BiSr-14Wan.tdb](https://orchid-project.org/data/databases/sgte-binary/BiSr-14Wan.tdb): FCC_A1, type code %A, sha256 `eae858ed7dbeda75…`

~~~~text
26: PHASE FCC_A1 %A 2 1 1 !
27: CONST FCC_A1 : BI SR% : VA : !
~~~~

Example references (1 of 1; assessments first): 

- [doi:10.1016/j.calphad.2013.12.001](https://doi.org/10.1016/j.calphad.2013.12.001) Yao Wang, Jinghua Xin, Chong Chen, Shuhong Liu, Biao Hu, Yong Du, Thermodynamic assessment of the Sr–In and Sr–Bi systems supported by first-principles calculations, Calphad 45, 49-54 (2014).  
_assessment that models this phase_

## HCP_A3 (Bi–Sr)

- Id: `phase:bi-sr:hcp-a3`; status `assigned`
- Structure: Mg · A3 · hP2 · P6_3/mmc (194); type `st:a3-mg-hp2`; tier A: standard phase name; confidence high
- Stability: not stable in 1 calculated diagram(s)
- Literature: 0 values (0 accepted) from 0 papers
- Interactive: [phase registry entry](https://orchid-project.org/phases/#phase:bi-sr:hcp-a3)

Names (2): _corpus: _corpus:phase:bi-sr:hcp-a3  
_tdb: _tdb:BiSr-14Wan.tdb:HCP_A3  


### TDB models of HCP_A3 (1): PHASE and CONSTITUENT statements as written

[BiSr-14Wan.tdb](https://orchid-project.org/data/databases/sgte-binary/BiSr-14Wan.tdb): HCP_A3, type code %A, sha256 `eae858ed7dbeda75…`

~~~~text
36: PHASE HCP_A3 %A 2 1 0.5 !
37: CONST HCP_A3 : BI SR : VA: !
~~~~

Example references (1 of 1; assessments first): 

- [doi:10.1016/j.calphad.2013.12.001](https://doi.org/10.1016/j.calphad.2013.12.001) Yao Wang, Jinghua Xin, Chong Chen, Shuhong Liu, Biao Hu, Yong Du, Thermodynamic assessment of the Sr–In and Sr–Bi systems supported by first-principles calculations, Calphad 45, 49-54 (2014).  
_assessment that models this phase_

## LIQUID (Bi–Sr)

- Id: `phase:bi-sr:liquid`; status `assigned`
- Structure: liquid; type `st:liquid`; liquid; confidence high
- Stability: stable in 1 of 1 calculated diagram(s): 531.24–2500 K, x(Sr) 0–1
- Literature: 0 values (0 accepted) from 0 papers
- Interactive: [phase registry entry](https://orchid-project.org/phases/#phase:bi-sr:liquid)

Names (2): _corpus: _corpus:phase:bi-sr:liquid  
_tdb: _tdb:BiSr-14Wan.tdb:LIQUID  


### TDB models of LIQUID (1): PHASE and CONSTITUENT statements as written

[BiSr-14Wan.tdb](https://orchid-project.org/data/databases/sgte-binary/BiSr-14Wan.tdb): LIQUID, type code %, sha256 `eae858ed7dbeda75…`

~~~~text
21: PHASE LIQUID:L % 1 1 !
22: CONST LIQUID:L : BI SR : !
~~~~

Example references (1 of 1; assessments first): 

- [doi:10.1016/j.calphad.2013.12.001](https://doi.org/10.1016/j.calphad.2013.12.001) Yao Wang, Jinghua Xin, Chong Chen, Shuhong Liu, Biao Hu, Yong Du, Thermodynamic assessment of the Sr–In and Sr–Bi systems supported by first-principles calculations, Calphad 45, 49-54 (2014).  
_assessment that models this phase_

## Please cite

- R. Arróyave, J. Saal, D. Shin, ORCHID-Registry: phase registry of binary systems (version 2026.10; Version 1, machine-extracted), Zenodo (2026). https://doi.org/10.5281/zenodo.23735970
- 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 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); the original source of every value you use (paper_citation / paper_doi, and cited_dois for values the paper cites from earlier work).

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_phase_registry_2026,
  author    = {Arr{\'o}yave, Raymundo and Saal, James and Shin, Dongwon},
  title     = {{ORCHID-Registry: phase registry of binary systems}},
  version   = {2026.10},
  publisher = {Zenodo},
  year      = {2026},
  doi       = {10.5281/zenodo.23735970},
  url       = {https://doi.org/10.5281/zenodo.23735970},
  note      = {Version 1, machine-extracted}
}

@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 the ORCHID phase registry and the sources named on the page (TDB assessments, Hallstedt 2025, Materials Project, OQMD). TDB statements are quoted as written; parameter expressions are not reproduced. Field reference: [SCHEMA.md](https://data.orchid-project.org/phases/SCHEMA.md). Machine-readable guide: [llms.txt](https://data.orchid-project.org/llms.txt).
