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

Accepted values by evidence class
Evidence classValues
experimental33
model9
unspecified12
Accepted values by property group
Property groupValues
invariant reaction46
phase transition6
formation2

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
GeTi-11Liu.tdbD. 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.2011.04.0178e9ef8474ea28d1f6a9ba116189059091a9ac4d7c461a48419e855aec3c67f33viewer · TDB · JSON
GeTi-23Zob.tdbO. Zobac, A. Kroupa, J. Phase Equilib. Diffus., 44, 115-26(2023). doi:10.1007/s11669-023-01028-0ecd81bb074f7659acc8f3a8e5fd9841fec8abeb4da6accb63d20ba6fa8be4037viewer · TDB · JSON
Calculated three-phase invariants (model, mole fraction of the second component)
TDB fileT (K)Phases at the invariant
GeTi-11Liu.tdb1939.17LIQUID (x(Ti) 0.46685) + GE5TI6 (x(Ti) 0.54545) + GE3TI5_D88 (x(Ti) 0.625)
GeTi-11Liu.tdb1939.17LIQUID (x(Ti) 0.46684) + GE5TI6 (x(Ti) 0.54545) + GE3TI5_D88 (x(Ti) 0.625)
GeTi-11Liu.tdb1939.17LIQUID (x(Ti) 0.46705) + GE5TI6 (x(Ti) 0.54545) + GE3TI5_D88 (x(Ti) 0.625)
GeTi-11Liu.tdb1630.4GE3TI5_D88 (x(Ti) 0.625) + LIQUID (x(Ti) 0.85909) + BCC_A2 (x(Ti) 0.91179)
GeTi-11Liu.tdb1630.4GE3TI5_D88 (x(Ti) 0.625) + LIQUID (x(Ti) 0.85912) + BCC_A2 (x(Ti) 0.91181)
GeTi-11Liu.tdb1391.67LIQUID (x(Ti) 0.24872) + GE2TI_C54 (x(Ti) 0.33333) + GE5TI6 (x(Ti) 0.54545)
GeTi-11Liu.tdb1391.67LIQUID (x(Ti) 0.24872) + GE2TI_C54 (x(Ti) 0.33333) + GE5TI6 (x(Ti) 0.54545)
GeTi-11Liu.tdb1391.67LIQUID (x(Ti) 0.24864) + GE2TI_C54 (x(Ti) 0.33333) + GE5TI6 (x(Ti) 0.54545)
GeTi-11Liu.tdb1196.78DIAMOND_A4 (x(Ti) 0.02257) + LIQUID (x(Ti) 0.09285) + GE2TI_C54 (x(Ti) 0.33333)
GeTi-11Liu.tdb1196.78DIAMOND_A4 (x(Ti) 0.02247) + LIQUID (x(Ti) 0.09222) + GE2TI_C54 (x(Ti) 0.33333)
GeTi-11Liu.tdb1166.57GE3TI5_D88 (x(Ti) 0.625) + HCP_A3 (x(Ti) 0.9585) + BCC_A2 (x(Ti) 0.95984)
GeTi-11Liu.tdb1166.57GE3TI5_D88 (x(Ti) 0.625) + HCP_A3 (x(Ti) 0.95881) + BCC_A2 (x(Ti) 0.96015)
GeTi-23Zob.tdb1924.26LIQUID (x(Ti) 0.418) + GE5TI6 (x(Ti) 0.54545) + GE3TI5_D88 (x(Ti) 0.6104)
GeTi-23Zob.tdb1924.26LIQUID (x(Ti) 0.4181) + GE5TI6 (x(Ti) 0.54545) + GE3TI5_D88 (x(Ti) 0.61043)
GeTi-23Zob.tdb1878.4GE5TI6 (x(Ti) 0.54545) + GE4TI5 (x(Ti) 0.55556) + GE3TI5_D88 (x(Ti) 0.61075)
GeTi-23Zob.tdb1878.4GE5TI6 (x(Ti) 0.54545) + GE4TI5 (x(Ti) 0.55556) + GE3TI5_D88 (x(Ti) 0.61074)
GeTi-23Zob.tdb1878.4GE5TI6 (x(Ti) 0.54545) + GE4TI5 (x(Ti) 0.55556) + GE3TI5_D88 (x(Ti) 0.61075)
GeTi-23Zob.tdb1632.34GE3TI5_D88 (x(Ti) 0.625) + LIQUID (x(Ti) 0.87029) + BCC_A2 (x(Ti) 0.91229)
GeTi-23Zob.tdb1632.34GE3TI5_D88 (x(Ti) 0.625) + LIQUID (x(Ti) 0.87046) + BCC_A2 (x(Ti) 0.91239)
GeTi-23Zob.tdb1382.48LIQUID (x(Ti) 0.12591) + GE2TI_C54 (x(Ti) 0.33333) + GE5TI6 (x(Ti) 0.54545)
GeTi-23Zob.tdb1382.48LIQUID (x(Ti) 0.12606) + GE2TI_C54 (x(Ti) 0.33333) + GE5TI6 (x(Ti) 0.54545)
GeTi-23Zob.tdb1382.48LIQUID (x(Ti) 0.12585) + GE2TI_C54 (x(Ti) 0.33333) + GE5TI6 (x(Ti) 0.54545)
GeTi-23Zob.tdb1200.3DIAMOND_A4 (x(Ti) 0.00162) + LIQUID (x(Ti) 0.02605) + GE2TI_C54 (x(Ti) 0.33333)
GeTi-23Zob.tdb1200.3DIAMOND_A4 (x(Ti) 0.00161) + LIQUID (x(Ti) 0.02593) + GE2TI_C54 (x(Ti) 0.33333)
GeTi-23Zob.tdb1167.08GE3TI5_D88 (x(Ti) 0.625) + HCP_A3 (x(Ti) 0.9579) + BCC_A2 (x(Ti) 0.95881)
GeTi-23Zob.tdb1167.08GE3TI5_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)

Invariant reactions reported in the literature for the Ge–Ti system (46)
T (K)Reaction / phasesCompositions (mole fraction)ClassSourceLocationQuote
2253congruent melting: L -> Ti5Ge3L: Ge 0.375; Ti5Ge3: Ge 0.375unspecified[1] Liu 2011Table 5, p. 6, row 2
report
2253congruent melting: L -> Ti5Ge3L: Ge 0.375; Ti5Ge3: Ge 0.375experimental[1] Liu 2011
cites Rudometkina 1989 doi
Table 5, p. 6, row 1
report
1939peritectic: L + Ti5Ge3 -> Ti6Ge5L: Ge 0.533; Ti5Ge3: Ge 0.375; Ti6Ge5: Ge 0.454unspecified[1] Liu 2011Table 5, p. 6, row 4
report
1939peritectic: L + Ge3Ti5 ↔ Ge5Ti6L: Ti 0.466; Ge3Ti5: Ti 0.625; Ge5Ti6: Ti 0.545unspecified[2] Zobač 2023
cites Liu 2011 doi
Table 2, p. 3, row 6
report
1923peritectic: L + Ge3Ti5 ↔ Ge5Ti6L: Ti 0.471; Ge3Ti5: Ti 0.625; Ge5Ti6: Ti 0.546experimental[2] Zobač 2023
cites Rudometkina 1989 doi
Table 2, p. 3, row 5
report
1923peritectic: L + Ti5Ge3 -> Ti6Ge5L: Ge 0.529; Ti5Ge3: Ge 0.375; Ti6Ge5: Ge 0.454experimental[1] Liu 2011
cites Rudometkina 1989 doi
Table 5, p. 6, row 3
report
1923peritectic: L + Ge3Ti5 ↔ Ge5Ti6L: Ti 0.472; Ge3Ti5: Ti 0.605; Ge5Ti6: Ti 0.545experimental[2] Zobač 2023
cites Bittner 2013 doi
Table 2, p. 3, row 7
report
1922.9peritectic: L + Ge3Ti5 ↔ Ge5Ti6L: Ti 0.418; Ge3Ti5: Ti 0.61; Ge5Ti6: Ti 0.5455model[2] Zobač 2023Table 2, p. 3, row 8
report
1900peritectoid: Ge5Ti6 + Ge3Ti5 ↔ Ge4Ti5Ge5Ti6: Ti 0.545; Ge3Ti5: Ti 0.605; Ge4Ti5: Ti 0.56experimental[2] Zobač 2023
cites Bittner 2013 doi
Table 2, p. 3, row 9
report
1878peritectoid: Ge5Ti6 + Ge3Ti5 ↔ Ge4Ti5Ge5Ti6: Ti 0.5455; Ge3Ti5: Ti 0.611; Ge4Ti5: Ti 0.5556model[2] Zobač 2023Table 2, p. 3, row 10
report
1703eutectic: L -> Ti5Ge3 + (βTi)L: Ge 0.118; Ti5Ge3: Ge 0.375; (βTi): Ge 0.0833experimental[1] Liu 2011
cites Belousov 1976
Table 5, p. 6, row 6
report
1683eutectic: L -> Ti5Ge3 + (βTi)Ti5Ge3: Ge 0.375; (βTi): Ge 0.0932experimental[1] Liu 2011
cites McQuillan 1955
Table 5, p. 6, row 5
report
1633eutectic: L -> Ti5Ge3 + (βTi)L: Ge 0.134; Ti5Ge3: Ge 0.375; (βTi): Ge 0.0861experimental[1] Liu 2011
cites Petersen 2011
Table 5, p. 6, row 7
report
1633eutectic: L -> Ti5Ge3 + (βTi)L: Ge 0.149; Ti5Ge3: Ge 0.375experimental[1] Liu 2011
cites Yue 1970 doi
Table 5, p. 6, row 8
report
1630eutectic: L ↔ Ge3Ti5 + (α-Ti)L: Ti 0.859; Ge3Ti5: Ti 0.637; (α-Ti): Ti 0.911experimental[2] Zobač 2023
cites Bittner 2013 doi
Table 2, p. 3, row 13
report
1630eutectic: L ↔ Ge3Ti5 + (α-Ti)L: Ti 0.859; Ge3Ti5: Ti 0.625; (α-Ti): Ti 0.914unspecified[2] Zobač 2023
cites Liu 2011 doi
Table 2, p. 3, row 12
report
1630eutectic: L -> Ti5Ge3 + (βTi)L: Ge 0.141; Ti5Ge3: Ge 0.375; (βTi): Ge 0.0882unspecified[1] Liu 2011Table 5, p. 6, row 11
report
1629.4eutectic: L ↔ Ge3Ti5 + (α-Ti)L: Ti 0.87; Ge3Ti5: Ti 0.625; (α-Ti): Ti 0.913model[2] Zobač 2023Table 2, p. 3, row 14
report
1627eutectic: L -> Ti5Ge3 + (βTi)Ti5Ge3: Ge 0.375, Ti 0.625experimental[1] Liu 2011Table 5, p. 6, row 10
report
1598eutectic: L ↔ Ge3Ti5 + (α-Ti)L: Ti 0.851; Ge3Ti5: Ti 0.625; (α-Ti): Ti 0.904experimental[2] Zobač 2023
cites Rudometkina 1989 doi
Table 2, p. 3, row 11
report
1598eutectic: L -> Ti5Ge3 + (βTi)L: Ge 0.149; Ti5Ge3: Ge 0.375; (βTi): Ge 0.0959experimental[1] Liu 2011
cites Rudometkina 1989 doi
Table 5, p. 6, row 9
report
1392peritectic: L + Ti6Ge5 -> TiGe2L: Ge 0.751; Ti6Ge5: Ge 0.454; TiGe2: Ge 0.667unspecified[1] Liu 2011Table 5, p. 6, row 14
report
1392peritectic: L + Ge5Ti6 ↔ Ge2TiL: Ti 0.248; Ge5Ti6: Ti 0.545; Ge2Ti: Ti 0.333unspecified[2] Zobač 2023
cites Liu 2011 doi
Table 2, p. 3, row 16
report
1388peritectic: L + Ti6Ge5 -> TiGe2Ti6Ge5: Ge 0.454545, Ti 0.545455; TiGe2: Ge 0.666667, Ti 0.333333experimental[1] Liu 2011Table 5, p. 6, row 13
report
1383peritectic: L + Ge5Ti6 ↔ Ge2TiL: Ti 0.127; Ge5Ti6: Ti 0.5455; Ge2Ti: Ti 0.333experimental[2] Zobač 2023
cites Bittner 2013 doi
Table 2, p. 3, row 17
report
1382.7peritectic: L + Ge5Ti6 ↔ Ge2TiL: Ti 0.15; Ge5Ti6: Ti 0.546; Ge2Ti: Ti 0.333model[2] Zobač 2023Table 2, p. 3, row 18
report
1348peritectic: L + Ge5Ti6 ↔ Ge2TiL: Ti 0.178; Ge5Ti6: Ti 0.545; Ge2Ti: Ti 0.333experimental[2] Zobač 2023
cites Rudometkina 1989 doi
Table 2, p. 3, row 15
report
1348peritectic: L + Ti6Ge5 -> TiGe2L: Ge 0.822; Ti6Ge5: Ge 0.454; TiGe2: Ge 0.667experimental[1] Liu 2011
cites Rudometkina 1989 doi
Table 5, p. 6, row 12
report
1203.5eutectic: L ↔ (Ge) + Ge2TiL: Ti 0.025; (Ge): Ti 0.001; Ge2Ti: Ti 0.333experimental[2] Zobač 2023
cites Bittner 2013 doi
Table 2, p. 3, row 21
report
1202eutectic: L -> TiGe2 + (Ge)TiGe2: Ge 0.666667, Ti 0.333333experimental[1] Liu 2011Table 5, p. 6, row 16
report
1200.3eutectic: L ↔ (Ge) + Ge2TiL: Ti 0.026; (Ge): Ti 0.002; Ge2Ti: Ti 0.333model[2] Zobač 2023Table 2, p. 3, row 22
report
1197eutectic: L -> TiGe2 + (Ge)L: Ge 0.908; TiGe2: Ge 0.667; (Ge): Ge 0.978unspecified[1] Liu 2011Table 5, p. 6, row 17
report
1197eutectic: L ↔ (Ge) + Ge2TiL: Ti 0.09; (Ge): Ti 0.021; Ge2Ti: Ti 0.333unspecified[2] Zobač 2023
cites Liu 2011 doi
Table 2, p. 3, row 20
report
1197eutectic: L ? (Ge) ? Ge2Timodel[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]
1178peritectoid: (βTi) + Ti5Ge3 -> (αTi)(βTi): Ge 0.0267; Ti5Ge3: Ge 0.375experimental[1] Liu 2011
cites Petersen 2011
Table 5, p. 6, row 20
report
1173eutectic: L -> TiGe2 + (Ge)L: Ge 0.893; TiGe2: Ge 0.667; (Ge): Ge 0.962experimental[1] Liu 2011
cites Rudometkina 1989 doi
Table 5, p. 6, row 15
report
1173eutectic: L ↔ (Ge) + Ge2TiL: Ti 0.107; (Ge): Ti 0.038; Ge2Ti: Ti 0.333experimental[2] Zobač 2023
cites Rudometkina 1989 doi
Table 2, p. 3, row 19
report
1170peritectoid: (βTi) + Ti5Ge3 -> (αTi)(βTi): Ge 0.0359; Ti5Ge3: Ge 0.375; (αTi): Ge 0.0406experimental[1] Liu 2011
cites McQuillan 1955
Table 5, p. 6, row 18
report
1167.1peritectoid: Ge3Ti5 + (α-Ti) ↔ (β-Ti)Ge3Ti5: Ti 0.625; (α-Ti): Ti 0.959; (β-Ti): Ti 0.958model[2] Zobač 2023Table 2, p. 3, row 26
report
1167peritectoid: Ge3Ti5 + (α-Ti) ↔ (β-Ti)Ge3Ti5: Ti 0.633; (α-Ti): Ti 0.961; (β-Ti): Ti 0.961experimental[2] Zobač 2023
cites Bittner 2013 doi
Table 2, p. 3, row 25
report
1167peritectoid: Ge3Ti5 + (α-Ti) ↔ (β-Ti)Ge3Ti5: Ti 0.625; (α-Ti): Ti 0.958; (β-Ti): Ti 0.96unspecified[2] Zobač 2023
cites Liu 2011 doi
Table 2, p. 3, row 24
report
1167peritectoid: (βTi) + Ti5Ge3 -> (αTi)(βTi): Ge 0.0399; Ti5Ge3: Ge 0.375; (αTi): Ge 0.0412unspecified[1] Liu 2011Table 5, p. 6, row 23
report
1166peritectoid: (βTi) + Ti5Ge3 -> (αTi)Ti5Ge3: Ge 0.375, Ti 0.625experimental[1] Liu 2011Table 5, p. 6, row 22
report
1133peritectoid: (βTi) + Ti5Ge3 -> (αTi)(βTi): Ge 0.0174; Ti5Ge3: Ge 0.375; (αTi): Ge 0.0221experimental[1] Liu 2011
cites Belousov 1976
Table 5, p. 6, row 19
report
1133peritectoid: Ge3Ti5 + (α-Ti) ↔ (β-Ti)Ge3Ti5: Ti 0.625; (α-Ti): Ti 0.964; (β-Ti): Ti 0.956experimental[2] Zobač 2023
cites Rudometkina 1989 doi
Table 2, p. 3, row 23
report
1133peritectoid: (βTi) + Ti5Ge3 -> (αTi)(βTi): Ge 0.0356; Ti5Ge3: Ge 0.375; (αTi): Ge 0.0438experimental[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.

Enthalpies of formation, Ge–Ti system (2)
PhaseCompoundValueT (K)ClassMP DFT (kJ/mol-atom)OQMD DFT (kJ/mol-atom)SourceLocationQuote
Ti5Ge3Ge3Ti5-70.8 kJ/mol-atom ± 2.5298.15experimental-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).
Ti5Ge3Ge3Ti5-69.7 kJ/mol-atom ± 2.5298.15experimental-67.135 (mp-aaabgilz)-70.401 (oqmd-30500)[1] Liu 2011p. 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)

Phase transition, Ge–Ti system
PropertyValueT (K)Phases / compositionClassSourceLocationQuote
Phase transition1203.5 K1203.5L + (Ge) + Ge2Tiexperimental[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 transition2253 K2253congruent 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 transition2253 K2253congruent 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 transition2253 K2253congruent 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 transition2253 K2253congruent transformationmodel[2] Zobač 2023p. 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 transition2254 K2254congruent melting: L ↔ Ge3Ti5
L: Ti 0.625; Ge3Ti5: Ti 0.625
model[2] Zobač 2023Table 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).

  1. 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
  2. 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