# Mo–Ti system > Mo–Ti system: 2 accepted literature values (invariant reaction 2) and 8 calculated phase diagram(s) from ORCHID, each value with evidence class, source, page and quote. HTML: https://data.orchid-project.org/systems/MO-TI.html · Markdown: https://data.orchid-project.org/systems/MO-TI.md 2 accepted literature values from 1 paper(s) (experimental 1, model 1); 8 calculated phase diagram(s). 11 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/MO-TI.json) · [CSV](https://data.orchid-project.org/systems/MO-TI.csv) · [interactive explorer](https://orchid-project.org/data-explorer/#MO-TI) · [interactive phase diagram](https://orchid-project.org/phase-diagrams/#MO-TI/MoTi-16Yan.json) · [phases (13)](https://data.orchid-project.org/phases/pages/MO-TI.html) · [papers (bibliography)](https://data.orchid-project.org/bibliography/pages/systems/MO-TI.html) · [Markdown](https://data.orchid-project.org/systems/MO-TI.md) Table: Accepted values by evidence class | Evidence class | Values | |---|---:| | experimental | 1 | | model | 1 | Table: Accepted values by property group | Property group | Values | |---|---:| | invariant reaction | 2 | ## 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 | |---|---|---|---| | MoTi-16Yan.tdb | J.-Y. Yan, G.B. Olson, J. Alloys Compd., 673, 441-54(2016). [doi:10.1016/j.jallcom.2016.02.251](https://doi.org/10.1016/j.jallcom.2016.02.251) | `99cf8bc3e542cda757a3656ebf7acc7e0dc213b114baefe8463e066dfc2b7858` | [viewer](https://orchid-project.org/phase-diagrams/#MO-TI/MoTi-16Yan.json) · [TDB](https://orchid-project.org/data/databases/sgte-binary/MoTi-16Yan.tdb) · [JSON](https://data.orchid-project.org/phase-diagrams/sgte/MoTi-16Yan.json) | | MoTi-18Hu.tdb | B. Hu, Y. Jiang, J. Wang, B. Yao, F. Min, Y. Du, Calphad, 62, 75-82(2018). [doi:10.1016/j.calphad.2018.05.007](https://doi.org/10.1016/j.calphad.2018.05.007) | `d5f576e402a6c4706ed95957f4013a11ff9f34093c3b25f98c772556f6e200b4` | [viewer](https://orchid-project.org/phase-diagrams/#MO-TI/MoTi-18Hu.json) · [TDB](https://orchid-project.org/data/databases/sgte-binary/MoTi-18Hu.tdb) · [JSON](https://data.orchid-project.org/phase-diagrams/sgte/MoTi-18Hu.json) | | MoTi-20Jia.tdb | C. Jiang, R.D. Mariani, C.A. Adkins, Materialia, 10, 100701(2020). [doi:10.1016/j.mtla.2020.100701](https://doi.org/10.1016/j.mtla.2020.100701) | `d8cb5a83578640f5cf8d649ab6ceff37f1adc51b9f8ebefa61a22cc5dcd3e881` | [viewer](https://orchid-project.org/phase-diagrams/#MO-TI/MoTi-20Jia.json) · [TDB](https://orchid-project.org/data/databases/sgte-binary/MoTi-20Jia.tdb) · [JSON](https://data.orchid-project.org/phase-diagrams/sgte/MoTi-20Jia.json) | | MoTi-23Dac.tdb | R.A. Daclan, M.G. Mena, M.R. Vazquez, W. Gierlotka, J. Mining Metall. B, 59, 125-36(2023). [doi:10.2298/JMMB210330011D](https://doi.org/10.2298/JMMB210330011D) | `04ec486753053de824f001b2ddbdae32d092d23384bc6c132144871904a20a9e` | [viewer](https://orchid-project.org/phase-diagrams/#MO-TI/MoTi-23Dac.json) · [TDB](https://orchid-project.org/data/databases/sgte-binary/MoTi-23Dac.tdb) · [JSON](https://data.orchid-project.org/phase-diagrams/sgte/MoTi-23Dac.json) | | MoTi-93Jin.tdb | Z.-P. Jin, C. Qiu, Metall. Trans. A, 24A, 2137-44(1993). [doi:10.1007/BF02648587](https://doi.org/10.1007/BF02648587) | `8071078bb74b3de2bb9e9a1711c52bfd074dbd673d7dff3d8191cd213445c917` | [viewer](https://orchid-project.org/phase-diagrams/#MO-TI/MoTi-93Jin.json) · [TDB](https://orchid-project.org/data/databases/sgte-binary/MoTi-93Jin.tdb) · [JSON](https://data.orchid-project.org/phase-diagrams/sgte/MoTi-93Jin.json) | | MoTi-96Shi.tdb | J.-H. Shim, C.-S. Oh, D.N. Lee, Metall. Mater. Trans. B, 27B, 955-66(1996). [doi:10.1007/s11663-996-0009-8](https://doi.org/10.1007/s11663-996-0009-8) | `81beb468857dd70edd6e87629c8491941045d3019d0644906a2cb60c42952372` | [viewer](https://orchid-project.org/phase-diagrams/#MO-TI/MoTi-96Shi.json) · [TDB](https://orchid-project.org/data/databases/sgte-binary/MoTi-96Shi.tdb) · [JSON](https://data.orchid-project.org/phase-diagrams/sgte/MoTi-96Shi.json) | | MoTi-98Sau-LB.tdb | N. Saunders, COST 507, Final report round 2, 1998. | `69c921b92002fbea2ce9e68eaaba163d910eb6c85ca4d2420e4b96134530d9bc` | [viewer](https://orchid-project.org/phase-diagrams/#MO-TI/MoTi-98Sau-LB.json) · [TDB](https://orchid-project.org/data/databases/sgte-binary/MoTi-98Sau-LB.tdb) · [JSON](https://data.orchid-project.org/phase-diagrams/sgte/MoTi-98Sau-LB.json) | | MoTi-99Chu.tdb | H.-J. Chung, J.-H. Shim, D.N. Lee, J. Alloys Compd., 282, 142-48(1999). [doi:10.1016/S0925-8388(98)00711-7](https://doi.org/10.1016/S0925-8388%2898%2900711-7) | `16a2cd8f1115c9e4e90f6e4898c34e9e9183d14803bde1729e2bbc93b1cd2986` | [viewer](https://orchid-project.org/phase-diagrams/#MO-TI/MoTi-99Chu.json) · [TDB](https://orchid-project.org/data/databases/sgte-binary/MoTi-99Chu.tdb) · [JSON](https://data.orchid-project.org/phase-diagrams/sgte/MoTi-99Chu.json) | Table: Calculated three-phase invariants (model, mole fraction of the second component) | TDB file | T (K) | Phases at the invariant | |---|---:|---| | MoTi-16Yan.tdb | 2473.28 | BCC_A2 (x(Ti) 0.36235) + LIQUID (x(Ti) 0.49684) + HCP_A3 (x(Ti) 0.497) | | MoTi-16Yan.tdb | 2237.59 | BCC_A2 (x(Ti) 0.5897) + HCP_A3 (x(Ti) 0.64585) + LIQUID (x(Ti) 0.71117) | | MoTi-20Jia.tdb | 793.14 | MOTI2 (x(Ti) 0.66667) + BCC_A2 (x(Ti) 0.80507) + HCP_A3 (x(Ti) 1) | | MoTi-20Jia.tdb | 793.14 | MOTI2 (x(Ti) 0.66667) + BCC_A2 (x(Ti) 0.80514) + HCP_A3 (x(Ti) 1) | | MoTi-20Jia.tdb | 793.14 | MOTI2 (x(Ti) 0.66667) + BCC_A2 (x(Ti) 0.8052) + HCP_A3 (x(Ti) 1) | | MoTi-20Jia.tdb | 732.43 | MOTI (x(Ti) 0.5) + BCC_A2 (x(Ti) 0.51011) + MOTI2 (x(Ti) 0.66667) | | MoTi-20Jia.tdb | 732.43 | MOTI (x(Ti) 0.5) + BCC_A2 (x(Ti) 0.51031) + MOTI2 (x(Ti) 0.66667) | | MoTi-20Jia.tdb | 714.71 | MO3TI2 (x(Ti) 0.4) + BCC_A2 (x(Ti) 0.44589) + MOTI (x(Ti) 0.5) | | MoTi-20Jia.tdb | 714.71 | MO3TI2 (x(Ti) 0.4) + BCC_A2 (x(Ti) 0.44605) + MOTI (x(Ti) 0.5) | | MoTi-20Jia.tdb | 699.9 | MO2TI (x(Ti) 0.33333) + BCC_A2 (x(Ti) 0.34287) + MO3TI2 (x(Ti) 0.4) | | MoTi-20Jia.tdb | 699.9 | MO2TI (x(Ti) 0.33333) + BCC_A2 (x(Ti) 0.34308) + MO3TI2 (x(Ti) 0.4) | | MoTi-20Jia.tdb | 661.33 | MO4TI (x(Ti) 0.2) + BCC_A2 (x(Ti) 0.2729) + MO2TI (x(Ti) 0.33333) | | MoTi-20Jia.tdb | 661.33 | MO4TI (x(Ti) 0.2) + BCC_A2 (x(Ti) 0.27304) + MO2TI (x(Ti) 0.33333) | | MoTi-20Jia.tdb | 647.18 | BCC_A2 (x(Ti) 0.13108) + MO5TI (x(Ti) 0.16667) + MO4TI (x(Ti) 0.2) | | MoTi-20Jia.tdb | 647.18 | BCC_A2 (x(Ti) 0.1311) + MO5TI (x(Ti) 0.16667) + MO4TI (x(Ti) 0.2) | | MoTi-20Jia.tdb | 523.24 | BCC_A2 (x(Ti) 0.0858) + MO7TI (x(Ti) 0.125) + MO5TI (x(Ti) 0.16667) | | MoTi-20Jia.tdb | 523.24 | BCC_A2 (x(Ti) 0.08579) + MO7TI (x(Ti) 0.125) + MO5TI (x(Ti) 0.16667) | | MoTi-20Jia.tdb | 523.24 | BCC_A2 (x(Ti) 0.08589) + MO7TI (x(Ti) 0.125) + MO5TI (x(Ti) 0.16667) | | MoTi-20Jia.tdb | 314.18 | BCC_A2 (x(Ti) 0.03385) + MO9TI (x(Ti) 0.1) + MO7TI (x(Ti) 0.125) | | MoTi-20Jia.tdb | 314.18 | BCC_A2 (x(Ti) 0.03386) + MO9TI (x(Ti) 0.1) + MO7TI (x(Ti) 0.125) | | MoTi-20Jia.tdb | 314.18 | BCC_A2 (x(Ti) 0.03382) + MO9TI (x(Ti) 0.1) + MO7TI (x(Ti) 0.125) | | MoTi-96Shi.tdb | 968.19 | BCC_A2 (x(Ti) 0.40132) + BCC_A2#2 (x(Ti) 0.87967) + HCP_A3 (x(Ti) 0.99646) | | MoTi-99Chu.tdb | 948.61 | BCC_A2 (x(Ti) 0.45878) + BCC_A2#2 (x(Ti) 0.87199) + HCP_A3 (x(Ti) 0.99266) | Convex hulls: [Materials Project DFT hull](https://data.orchid-project.org/hulls/dft-mp/MO/MO-TI.json) · [OQMD DFT hull](https://data.orchid-project.org/hulls/dft-oqmd/MO/MO-TI.json) · [CALPHAD hull MoTi-16Yan](https://data.orchid-project.org/hulls/calphad-sgte/MO/MO-TI--MoTi-16Yan.json) · [CALPHAD hull MoTi-18Hu](https://data.orchid-project.org/hulls/calphad-sgte/MO/MO-TI--MoTi-18Hu.json) · [CALPHAD hull MoTi-20Jia](https://data.orchid-project.org/hulls/calphad-sgte/MO/MO-TI--MoTi-20Jia.json) · [CALPHAD hull MoTi-93Jin](https://data.orchid-project.org/hulls/calphad-sgte/MO/MO-TI--MoTi-93Jin.json) · [CALPHAD hull MoTi-96Shi](https://data.orchid-project.org/hulls/calphad-sgte/MO/MO-TI--MoTi-96Shi.json) · [CALPHAD hull MoTi-98Sau-LB](https://data.orchid-project.org/hulls/calphad-sgte/MO/MO-TI--MoTi-98Sau-LB.json) · [CALPHAD hull MoTi-99Chu](https://data.orchid-project.org/hulls/calphad-sgte/MO/MO-TI--MoTi-99Chu.json) ## Invariant reactions (literature) Table: Invariant reactions reported in the literature for the Mo–Ti system (2) | T (K) | Reaction / phases | Compositions (mole fraction) | Class | Source | Location | Quote | |---:|---|---|---|---|---|---| | 968 | bcc(1) = hcp + bcc(2) | bcc(1): Ti 0.88; hcp: Ti 0.996; bcc(2): Ti 0.4 | experimental | [1] Shim 1996; _cites Murray 1987_ | Table II, p. 6, row 2; `ORC-GPWBL37D5T` | | | 968 | bcc(1) = hcp + bcc(2) | bcc(1): Ti 0.88; hcp: Ti 0.9965; bcc(2): Ti 0.4 | model | [1] Shim 1996 | Table II, p. 6, row 1; `ORC-WBBA6I2ATX` | | ## Sources Reporting papers the values were read from (a value cited from another work names that work in its row). 1. Jae-Hyeok Shim, Chang-Seok Oh, Dong Nyung Lee, A thermodynamic evaluation of the Ti-Mo-C system, Metall Mater Trans B 27, 955-966 (1996). [doi:10.1007/s11663-996-0009-8](https://doi.org/10.1007/s11663-996-0009-8) ## 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=\, carrying only the record id, source and value; [how to contribute](https://orchid-project.org/contribute/).