Ge–Ti system
54 accepted literature values from 2 paper(s) (experimental 33, model 9, unspecified 12); 2 calculated phase diagram(s). 2 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
| Evidence class | Values |
|---|---|
| experimental | 33 |
| model | 9 |
| unspecified | 12 |
| Property group | Values |
|---|---|
| invariant reaction | 46 |
| phase transition | 6 |
| formation | 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.
| TDB file | Assessment | SHA-256 | Links |
|---|---|---|---|
| GeTi-11Liu.tdb | D. Liu, H. Yan, X. Yuan, Y. Chung, Y. Du, H. Xu, L. Liu, P. Nash, Thermochim. Acta, 521, 148-54(2011). doi:10.1016/j.tca.2011.04.017 | 8e9ef8474ea28d1f6a9ba116189059091a9ac4d7c461a48419e855aec3c67f33 | viewer · TDB · JSON |
| GeTi-23Zob.tdb | O. Zobac, A. Kroupa, J. Phase Equilib. Diffus., 44, 115-26(2023). doi:10.1007/s11669-023-01028-0 | ecd81bb074f7659acc8f3a8e5fd9841fec8abeb4da6accb63d20ba6fa8be4037 | viewer · TDB · JSON |
| TDB file | T (K) | Phases at the invariant |
|---|---|---|
| GeTi-11Liu.tdb | 1939.17 | LIQUID (x(Ti) 0.46685) + GE5TI6 (x(Ti) 0.54545) + GE3TI5_D88 (x(Ti) 0.625) |
| GeTi-11Liu.tdb | 1939.17 | LIQUID (x(Ti) 0.46684) + GE5TI6 (x(Ti) 0.54545) + GE3TI5_D88 (x(Ti) 0.625) |
| GeTi-11Liu.tdb | 1939.17 | LIQUID (x(Ti) 0.46705) + GE5TI6 (x(Ti) 0.54545) + GE3TI5_D88 (x(Ti) 0.625) |
| GeTi-11Liu.tdb | 1630.4 | GE3TI5_D88 (x(Ti) 0.625) + LIQUID (x(Ti) 0.85909) + BCC_A2 (x(Ti) 0.91179) |
| GeTi-11Liu.tdb | 1630.4 | GE3TI5_D88 (x(Ti) 0.625) + LIQUID (x(Ti) 0.85912) + BCC_A2 (x(Ti) 0.91181) |
| GeTi-11Liu.tdb | 1391.67 | LIQUID (x(Ti) 0.24872) + GE2TI_C54 (x(Ti) 0.33333) + GE5TI6 (x(Ti) 0.54545) |
| GeTi-11Liu.tdb | 1391.67 | LIQUID (x(Ti) 0.24872) + GE2TI_C54 (x(Ti) 0.33333) + GE5TI6 (x(Ti) 0.54545) |
| GeTi-11Liu.tdb | 1391.67 | LIQUID (x(Ti) 0.24864) + GE2TI_C54 (x(Ti) 0.33333) + GE5TI6 (x(Ti) 0.54545) |
| GeTi-11Liu.tdb | 1196.78 | DIAMOND_A4 (x(Ti) 0.02257) + LIQUID (x(Ti) 0.09285) + GE2TI_C54 (x(Ti) 0.33333) |
| GeTi-11Liu.tdb | 1196.78 | DIAMOND_A4 (x(Ti) 0.02247) + LIQUID (x(Ti) 0.09222) + GE2TI_C54 (x(Ti) 0.33333) |
| GeTi-11Liu.tdb | 1166.57 | GE3TI5_D88 (x(Ti) 0.625) + HCP_A3 (x(Ti) 0.9585) + BCC_A2 (x(Ti) 0.95984) |
| GeTi-11Liu.tdb | 1166.57 | GE3TI5_D88 (x(Ti) 0.625) + HCP_A3 (x(Ti) 0.95881) + BCC_A2 (x(Ti) 0.96015) |
| GeTi-23Zob.tdb | 1924.26 | LIQUID (x(Ti) 0.418) + GE5TI6 (x(Ti) 0.54545) + GE3TI5_D88 (x(Ti) 0.6104) |
| GeTi-23Zob.tdb | 1924.26 | LIQUID (x(Ti) 0.4181) + GE5TI6 (x(Ti) 0.54545) + GE3TI5_D88 (x(Ti) 0.61043) |
| GeTi-23Zob.tdb | 1878.4 | GE5TI6 (x(Ti) 0.54545) + GE4TI5 (x(Ti) 0.55556) + GE3TI5_D88 (x(Ti) 0.61075) |
| GeTi-23Zob.tdb | 1878.4 | GE5TI6 (x(Ti) 0.54545) + GE4TI5 (x(Ti) 0.55556) + GE3TI5_D88 (x(Ti) 0.61074) |
| GeTi-23Zob.tdb | 1878.4 | GE5TI6 (x(Ti) 0.54545) + GE4TI5 (x(Ti) 0.55556) + GE3TI5_D88 (x(Ti) 0.61075) |
| GeTi-23Zob.tdb | 1632.34 | GE3TI5_D88 (x(Ti) 0.625) + LIQUID (x(Ti) 0.87029) + BCC_A2 (x(Ti) 0.91229) |
| GeTi-23Zob.tdb | 1632.34 | GE3TI5_D88 (x(Ti) 0.625) + LIQUID (x(Ti) 0.87046) + BCC_A2 (x(Ti) 0.91239) |
| GeTi-23Zob.tdb | 1382.48 | LIQUID (x(Ti) 0.12591) + GE2TI_C54 (x(Ti) 0.33333) + GE5TI6 (x(Ti) 0.54545) |
| GeTi-23Zob.tdb | 1382.48 | LIQUID (x(Ti) 0.12606) + GE2TI_C54 (x(Ti) 0.33333) + GE5TI6 (x(Ti) 0.54545) |
| GeTi-23Zob.tdb | 1382.48 | LIQUID (x(Ti) 0.12585) + GE2TI_C54 (x(Ti) 0.33333) + GE5TI6 (x(Ti) 0.54545) |
| GeTi-23Zob.tdb | 1200.3 | DIAMOND_A4 (x(Ti) 0.00162) + LIQUID (x(Ti) 0.02605) + GE2TI_C54 (x(Ti) 0.33333) |
| GeTi-23Zob.tdb | 1200.3 | DIAMOND_A4 (x(Ti) 0.00161) + LIQUID (x(Ti) 0.02593) + GE2TI_C54 (x(Ti) 0.33333) |
| GeTi-23Zob.tdb | 1167.08 | GE3TI5_D88 (x(Ti) 0.625) + HCP_A3 (x(Ti) 0.9579) + BCC_A2 (x(Ti) 0.95881) |
| GeTi-23Zob.tdb | 1167.08 | GE3TI5_D88 (x(Ti) 0.625) + HCP_A3 (x(Ti) 0.95817) + BCC_A2 (x(Ti) 0.95909) |
Convex hulls: Materials Project DFT hull · OQMD DFT hull · CALPHAD hull GeTi-11Liu
Invariant reactions (literature)
| T (K) | Reaction / phases | Compositions (mole fraction) | Class | Source | Location | Quote |
|---|---|---|---|---|---|---|
| 2253 | congruent melting: L -> Ti5Ge3 | L: Ge 0.375; Ti5Ge3: Ge 0.375 | unspecified | [1] Liu 2011 | Table 5, p. 6, row 2 report | |
| 2253 | congruent melting: L -> Ti5Ge3 | L: Ge 0.375; Ti5Ge3: Ge 0.375 | experimental | [1] Liu 2011 cites Rudometkina 1989 doi | Table 5, p. 6, row 1 report | |
| 1939 | peritectic: L + Ti5Ge3 -> Ti6Ge5 | L: Ge 0.533; Ti5Ge3: Ge 0.375; Ti6Ge5: Ge 0.454 | unspecified | [1] Liu 2011 | Table 5, p. 6, row 4 report | |
| 1939 | peritectic: L + Ge3Ti5 ↔ Ge5Ti6 | L: Ti 0.466; Ge3Ti5: Ti 0.625; Ge5Ti6: Ti 0.545 | unspecified | [2] Zobač 2023 cites Liu 2011 doi | Table 2, p. 3, row 6 report | |
| 1923 | peritectic: L + Ge3Ti5 ↔ Ge5Ti6 | L: Ti 0.471; Ge3Ti5: Ti 0.625; Ge5Ti6: Ti 0.546 | experimental | [2] Zobač 2023 cites Rudometkina 1989 doi | Table 2, p. 3, row 5 report | |
| 1923 | peritectic: L + Ti5Ge3 -> Ti6Ge5 | L: Ge 0.529; Ti5Ge3: Ge 0.375; Ti6Ge5: Ge 0.454 | experimental | [1] Liu 2011 cites Rudometkina 1989 doi | Table 5, p. 6, row 3 report | |
| 1923 | peritectic: L + Ge3Ti5 ↔ Ge5Ti6 | L: Ti 0.472; Ge3Ti5: Ti 0.605; Ge5Ti6: Ti 0.545 | experimental | [2] Zobač 2023 cites Bittner 2013 doi | Table 2, p. 3, row 7 report | |
| 1922.9 | peritectic: L + Ge3Ti5 ↔ Ge5Ti6 | L: Ti 0.418; Ge3Ti5: Ti 0.61; Ge5Ti6: Ti 0.5455 | model | [2] Zobač 2023 | Table 2, p. 3, row 8 report | |
| 1900 | peritectoid: Ge5Ti6 + Ge3Ti5 ↔ Ge4Ti5 | Ge5Ti6: Ti 0.545; Ge3Ti5: Ti 0.605; Ge4Ti5: Ti 0.56 | experimental | [2] Zobač 2023 cites Bittner 2013 doi | Table 2, p. 3, row 9 report | |
| 1878 | peritectoid: Ge5Ti6 + Ge3Ti5 ↔ Ge4Ti5 | Ge5Ti6: Ti 0.5455; Ge3Ti5: Ti 0.611; Ge4Ti5: Ti 0.5556 | model | [2] Zobač 2023 | Table 2, p. 3, row 10 report | |
| 1703 | eutectic: L -> Ti5Ge3 + (βTi) | L: Ge 0.118; Ti5Ge3: Ge 0.375; (βTi): Ge 0.0833 | experimental | [1] Liu 2011 cites Belousov 1976 | Table 5, p. 6, row 6 report | |
| 1683 | eutectic: L -> Ti5Ge3 + (βTi) | Ti5Ge3: Ge 0.375; (βTi): Ge 0.0932 | experimental | [1] Liu 2011 cites McQuillan 1955 | Table 5, p. 6, row 5 report | |
| 1633 | eutectic: L -> Ti5Ge3 + (βTi) | L: Ge 0.134; Ti5Ge3: Ge 0.375; (βTi): Ge 0.0861 | experimental | [1] Liu 2011 cites Petersen 2011 | Table 5, p. 6, row 7 report | |
| 1633 | eutectic: L -> Ti5Ge3 + (βTi) | L: Ge 0.149; Ti5Ge3: Ge 0.375 | experimental | [1] Liu 2011 cites Yue 1970 doi | Table 5, p. 6, row 8 report | |
| 1630 | eutectic: L ↔ Ge3Ti5 + (α-Ti) | L: Ti 0.859; Ge3Ti5: Ti 0.637; (α-Ti): Ti 0.911 | experimental | [2] Zobač 2023 cites Bittner 2013 doi | Table 2, p. 3, row 13 report | |
| 1630 | eutectic: L ↔ Ge3Ti5 + (α-Ti) | L: Ti 0.859; Ge3Ti5: Ti 0.625; (α-Ti): Ti 0.914 | unspecified | [2] Zobač 2023 cites Liu 2011 doi | Table 2, p. 3, row 12 report | |
| 1630 | eutectic: L -> Ti5Ge3 + (βTi) | L: Ge 0.141; Ti5Ge3: Ge 0.375; (βTi): Ge 0.0882 | unspecified | [1] Liu 2011 | Table 5, p. 6, row 11 report | |
| 1629.4 | eutectic: L ↔ Ge3Ti5 + (α-Ti) | L: Ti 0.87; Ge3Ti5: Ti 0.625; (α-Ti): Ti 0.913 | model | [2] Zobač 2023 | Table 2, p. 3, row 14 report | |
| 1627 | eutectic: L -> Ti5Ge3 + (βTi) | Ti5Ge3: Ge 0.375, Ti 0.625 | experimental | [1] Liu 2011 | Table 5, p. 6, row 10 report | |
| 1598 | eutectic: L ↔ Ge3Ti5 + (α-Ti) | L: Ti 0.851; Ge3Ti5: Ti 0.625; (α-Ti): Ti 0.904 | experimental | [2] Zobač 2023 cites Rudometkina 1989 doi | Table 2, p. 3, row 11 report | |
| 1598 | eutectic: L -> Ti5Ge3 + (βTi) | L: Ge 0.149; Ti5Ge3: Ge 0.375; (βTi): Ge 0.0959 | experimental | [1] Liu 2011 cites Rudometkina 1989 doi | Table 5, p. 6, row 9 report | |
| 1392 | peritectic: L + Ti6Ge5 -> TiGe2 | L: Ge 0.751; Ti6Ge5: Ge 0.454; TiGe2: Ge 0.667 | unspecified | [1] Liu 2011 | Table 5, p. 6, row 14 report | |
| 1392 | peritectic: L + Ge5Ti6 ↔ Ge2Ti | L: Ti 0.248; Ge5Ti6: Ti 0.545; Ge2Ti: Ti 0.333 | unspecified | [2] Zobač 2023 cites Liu 2011 doi | Table 2, p. 3, row 16 report | |
| 1388 | peritectic: L + Ti6Ge5 -> TiGe2 | Ti6Ge5: Ge 0.454545, Ti 0.545455; TiGe2: Ge 0.666667, Ti 0.333333 | experimental | [1] Liu 2011 | Table 5, p. 6, row 13 report | |
| 1383 | peritectic: L + Ge5Ti6 ↔ Ge2Ti | L: Ti 0.127; Ge5Ti6: Ti 0.5455; Ge2Ti: Ti 0.333 | experimental | [2] Zobač 2023 cites Bittner 2013 doi | Table 2, p. 3, row 17 report | |
| 1382.7 | peritectic: L + Ge5Ti6 ↔ Ge2Ti | L: Ti 0.15; Ge5Ti6: Ti 0.546; Ge2Ti: Ti 0.333 | model | [2] Zobač 2023 | Table 2, p. 3, row 18 report | |
| 1348 | peritectic: L + Ge5Ti6 ↔ Ge2Ti | L: Ti 0.178; Ge5Ti6: Ti 0.545; Ge2Ti: Ti 0.333 | experimental | [2] Zobač 2023 cites Rudometkina 1989 doi | Table 2, p. 3, row 15 report | |
| 1348 | peritectic: L + Ti6Ge5 -> TiGe2 | L: Ge 0.822; Ti6Ge5: Ge 0.454; TiGe2: Ge 0.667 | experimental | [1] Liu 2011 cites Rudometkina 1989 doi | Table 5, p. 6, row 12 report | |
| 1203.5 | eutectic: L ↔ (Ge) + Ge2Ti | L: Ti 0.025; (Ge): Ti 0.001; Ge2Ti: Ti 0.333 | experimental | [2] Zobač 2023 cites Bittner 2013 doi | Table 2, p. 3, row 21 report | |
| 1202 | eutectic: L -> TiGe2 + (Ge) | TiGe2: Ge 0.666667, Ti 0.333333 | experimental | [1] Liu 2011 | Table 5, p. 6, row 16 report | |
| 1200.3 | eutectic: L ↔ (Ge) + Ge2Ti | L: Ti 0.026; (Ge): Ti 0.002; Ge2Ti: Ti 0.333 | model | [2] Zobač 2023 | Table 2, p. 3, row 22 report | |
| 1197 | eutectic: L -> TiGe2 + (Ge) | L: Ge 0.908; TiGe2: Ge 0.667; (Ge): Ge 0.978 | unspecified | [1] Liu 2011 | Table 5, p. 6, row 17 report | |
| 1197 | eutectic: L ↔ (Ge) + Ge2Ti | L: Ti 0.09; (Ge): Ti 0.021; Ge2Ti: Ti 0.333 | unspecified | [2] Zobač 2023 cites Liu 2011 doi | Table 2, p. 3, row 20 report | |
| 1197 | eutectic: L ? (Ge) ? Ge2Ti | model | [2] Zobač 2023 cites Liu 2011 doi | p. 8 report | The eutectic point for the L ? (Ge) ? Ge2Ti invariant reaction was assessed at 1197 K and 9.2 at.% Ti in.[1] | |
| 1178 | peritectoid: (βTi) + Ti5Ge3 -> (αTi) | (βTi): Ge 0.0267; Ti5Ge3: Ge 0.375 | experimental | [1] Liu 2011 cites Petersen 2011 | Table 5, p. 6, row 20 report | |
| 1173 | eutectic: L -> TiGe2 + (Ge) | L: Ge 0.893; TiGe2: Ge 0.667; (Ge): Ge 0.962 | experimental | [1] Liu 2011 cites Rudometkina 1989 doi | Table 5, p. 6, row 15 report | |
| 1173 | eutectic: L ↔ (Ge) + Ge2Ti | L: Ti 0.107; (Ge): Ti 0.038; Ge2Ti: Ti 0.333 | experimental | [2] Zobač 2023 cites Rudometkina 1989 doi | Table 2, p. 3, row 19 report | |
| 1170 | peritectoid: (βTi) + Ti5Ge3 -> (αTi) | (βTi): Ge 0.0359; Ti5Ge3: Ge 0.375; (αTi): Ge 0.0406 | experimental | [1] Liu 2011 cites McQuillan 1955 | Table 5, p. 6, row 18 report | |
| 1167.1 | peritectoid: Ge3Ti5 + (α-Ti) ↔ (β-Ti) | Ge3Ti5: Ti 0.625; (α-Ti): Ti 0.959; (β-Ti): Ti 0.958 | model | [2] Zobač 2023 | Table 2, p. 3, row 26 report | |
| 1167 | peritectoid: Ge3Ti5 + (α-Ti) ↔ (β-Ti) | Ge3Ti5: Ti 0.633; (α-Ti): Ti 0.961; (β-Ti): Ti 0.961 | experimental | [2] Zobač 2023 cites Bittner 2013 doi | Table 2, p. 3, row 25 report | |
| 1167 | peritectoid: Ge3Ti5 + (α-Ti) ↔ (β-Ti) | Ge3Ti5: Ti 0.625; (α-Ti): Ti 0.958; (β-Ti): Ti 0.96 | unspecified | [2] Zobač 2023 cites Liu 2011 doi | Table 2, p. 3, row 24 report | |
| 1167 | peritectoid: (βTi) + Ti5Ge3 -> (αTi) | (βTi): Ge 0.0399; Ti5Ge3: Ge 0.375; (αTi): Ge 0.0412 | unspecified | [1] Liu 2011 | Table 5, p. 6, row 23 report | |
| 1166 | peritectoid: (βTi) + Ti5Ge3 -> (αTi) | Ti5Ge3: Ge 0.375, Ti 0.625 | experimental | [1] Liu 2011 | Table 5, p. 6, row 22 report | |
| 1133 | peritectoid: (βTi) + Ti5Ge3 -> (αTi) | (βTi): Ge 0.0174; Ti5Ge3: Ge 0.375; (αTi): Ge 0.0221 | experimental | [1] Liu 2011 cites Belousov 1976 | Table 5, p. 6, row 19 report | |
| 1133 | peritectoid: Ge3Ti5 + (α-Ti) ↔ (β-Ti) | Ge3Ti5: Ti 0.625; (α-Ti): Ti 0.964; (β-Ti): Ti 0.956 | experimental | [2] Zobač 2023 cites Rudometkina 1989 doi | Table 2, p. 3, row 23 report | |
| 1133 | peritectoid: (βTi) + Ti5Ge3 -> (αTi) | (βTi): Ge 0.0356; Ti5Ge3: Ge 0.375; (αTi): Ge 0.0438 | experimental | [1] Liu 2011 cites Rudometkina 1989 doi | Table 5, p. 6, row 21 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.
| Phase | Compound | Value | T (K) | Class | MP DFT (kJ/mol-atom) | OQMD DFT (kJ/mol-atom) | Source | Location | Quote |
|---|---|---|---|---|---|---|---|---|---|
| Ti5Ge3 | Ge3Ti5 | -70.8 kJ/mol-atom ± 2.5 | 298.15 | experimental | -67.135 (mp-aaabgilz) | -70.401 (oqmd-30500) | [1] Liu 2011 cites Kleppa 1990 | p. 3 report | The measured enthalpy of formation of Ti5 Ge3 at 298 K is -69,700 ± 2500 J/(mol atoms), which is in a good agreement with the result of Kleppa and Jung [10], -70,800 ± 2500 J/(mol atoms). |
| Ti5Ge3 | Ge3Ti5 | -69.7 kJ/mol-atom ± 2.5 | 298.15 | experimental | -67.135 (mp-aaabgilz) | -70.401 (oqmd-30500) | [1] Liu 2011 | p. 3 report | The measured enthalpy of formation of Ti5 Ge3 at 298 K is -69,700 ± 2500 J/(mol atoms), which is in a good agreement with the result of Kleppa and Jung [10], -70,800 ± 2500 J/(mol atoms). |
Other properties
Phase transition (6)
| Property | Value | T (K) | Phases / composition | Class | Source | Location | Quote |
|---|---|---|---|---|---|---|---|
| Phase transition | 1203.5 K | 1203.5 | L + (Ge) + Ge2Ti | experimental | [2] Zobač 2023 cites Bittner 2013 doi | p. 8 report | The new experimental data of Bittner et al.[2] define the parameters of this reaction to be 1203.5 K and 2.5 at.% Ti. |
| Phase transition | 2253 K | 2253 | congruent melting: L ↔ Ge3Ti5 L: Ti 0.625; Ge3Ti5: Ti 0.625 | experimental | [2] Zobač 2023 cites Bittner 2013 doi | Table 2, p. 3, row 3 report | |
| Phase transition | 2253 K | 2253 | congruent melting: L ↔ Ge3Ti5 L: Ti 0.625; Ge3Ti5: Ti 0.625 | unspecified | [2] Zobač 2023 cites Liu 2011 doi | Table 2, p. 3, row 2 report | |
| Phase transition | 2253 K | 2253 | congruent melting: L ↔ Ge3Ti5 L: Ti 0.625; Ge3Ti5: Ti 0.625 | experimental | [2] Zobač 2023 cites Rudometkina 1989 doi | Table 2, p. 3, row 1 report | |
| Phase transition | 2253 K | 2253 | congruent transformation | model | [2] Zobač 2023 | p. 2 report | The Ge3Ti5 phase which melts congruently at 2253 K was formerly described as a stoichiometric phase[1] but Bittner et al.[2] found that the Ge3Ti5 phase shows solubility region between 37 and 40% Ge. |
| Phase transition | 2254 K | 2254 | congruent melting: L ↔ Ge3Ti5 L: Ti 0.625; Ge3Ti5: Ti 0.625 | model | [2] Zobač 2023 | Table 2, p. 3, row 4 report |
Sources
Reporting papers the values were read from (a value cited from another work names that work in its row).
- Dandan Liu, Huanli Yan, Xiaoming Yuan, Yoonsung Chung, Yong Du, Honghui Xu et al., Thermodynamic modeling of the Ge–Ti system supported by key experiment, Thermochimica Acta 521, 148-154 (2011). doi:10.1016/j.tca.2011.04.017
- Ondřej Zobač, Aleš Kroupa, CALPHAD-Based Thermodynamic Description of the Binary Phase Diagram Ge-Ti, J. Phase Equilib. Diffus. (2023). doi:10.1007/s11669-023-01028-0