NiTi: enthalpy of formation
43 accepted literature formation-enthalpy value(s) (experimental 10, model 17, DFT 16); experimental median -33.9 kJ/mol-atom (n = 5); Materials Project -38.194 kJ/mol-atom (mp-aaaaaboi); OQMD -40.284 kJ/mol-atom (oqmd-107703).
Systems: Ni–Ti
Literature values
| Value | Phase as printed | T (K) | Class | Method | System | Source | Location | Quote |
|---|---|---|---|---|---|---|---|---|
| -34.2 per mol-atom ± 2000 | NiTi | 999.15 | experimental | Ni–Ti | [1] Santhy 2015 cites Gomozov 1986 | Table 9, p. 6, row 17 report | ||
| -34.15 kJ/mol-atom | NiTi(B2) | 999 | experimental | Calorimetry | Ni–Ti | [2] Hu 2014 cites Gomozov 1986 | Table 1, p. 5, row 5 report | |
| -34 kJ/mol-atom | NiTi(B2) | 1460 | experimental | Calorimetry | Ni–Ti | [2] Hu 2014 cites Gachon 1981 doi | Table 1, p. 5, row 3 report | |
| -34 per mol-atom ± 2000 | NiTi | 1460.15 | experimental | Ni–Ti | [1] Santhy 2015 cites Gachon 1981 doi | Table 9, p. 6, row 15 report | ||
| -33.911 per mol-atom ± 2000 | NiTi | 298.15 | experimental | Ni–Ti | [1] Santhy 2015 cites Kubaschewski 1956 doi | Table 9, p. 6, row 13 report | ||
| -33.9 kJ/mol-atom | NiTi(B2) | 298.15 | experimental | Calorimetry | Ni–Ti | [2] Hu 2014 cites Kubaschewski 1956 doi | Table 1, p. 5, row 4 report | |
| -33.9 kJ/mol-atom | TiNi-B2 | 298.15 | experimental | direct synthesis calorimetry | Ni–Ti | [3] Povoden-Karadeniz 2013 cites Kubaschewski 1958 doi | Table 6, p. 8, row 24 report | |
| -33.1 per mol-atom ± 1100 | NiTi | 1477.15 | experimental | Ni–Ti | [1] Santhy 2015 cites ref. 1998Guo | Table 9, p. 6, row 21 report | ||
| -33.1 kJ/mol-atom ± 1.1 | NiTi(B2) | 298.15 | experimental | Ni–Ti | [4] Tokunaga 2004 cites Guo 1998 doi | Table 2, p. 3, row 3 report | ||
| -32.51 per mol-atom | NiTi | 1173.15 | experimental | Ni–Ti | [1] Santhy 2015 cites Yi 1989 doi | Table 9, p. 6, row 19 report | ||
| -46 kJ/mol-atom | NiTi(B2) | model | TBB | Ni–Ti | [2] Hu 2014 cites Colinet 1993 doi | Table 1, p. 5, row 1 report | ||
| -45.8 per mol-atom | NiTi | 298.15 | model | Miedema | Ni–Ti | [1] Santhy 2015 | Table 9, p. 6, row 28 report | |
| -38.347 per mol-atom | NiTi | 1477.15 | model | Ni–Ti | [1] Santhy 2015 | Table 9, p. 6, row 22 report | ||
| -38.286 per mol-atom | NiTi | 1460.15 | model | Ni–Ti | [1] Santhy 2015 | Table 9, p. 6, row 16 report | ||
| -38.1 per mol-atom | NiTi | model | FP | Ni–Ti | [1] Santhy 2015 cites Pasturel 1995 doi | Table 9, p. 6, row 25 report | ||
| -37.721 kJ/mol-atom | TiNi B19' | 298.15 | model | Calphad assessment | Ni–Ti | [3] Povoden-Karadeniz 2013 | Table 6, p. 8, row 33 report | |
| -37.212 per mol-atom | NiTi | 1173.15 | model | Ni–Ti | [1] Santhy 2015 | Table 9, p. 6, row 20 report | ||
| -36.5 kJ/mol-atom | NiTi(B32) | model | TBB | Ni–Ti | [2] Hu 2014 cites Colinet 1993 doi | Table 1, p. 5, row 8 report | ||
| -36.1 per mol-atom | NiTi | model | FP | Ni–Ti | [1] Santhy 2015 | Table 9, p. 6, row 27 report | ||
| -36 per mol-atom | NiTi | model | FP | Ni–Ti | [1] Santhy 2015 cites Pasturel 1995 doi | Table 9, p. 6, row 26 report | ||
| -34.721 kJ/mol-atom | TiNi-B2 | 298.15 | model | Calphad assessment | Ni–Ti | [3] Povoden-Karadeniz 2013 | Table 6, p. 8, row 21 report | |
| -34.16 per mol-atom | NiTi | 999.15 | model | Ni–Ti | [1] Santhy 2015 | Table 9, p. 6, row 18 report | ||
| -34.052 kJ/mol-atom | TiNi-B2 | 298.15 | model | Calphad assessment | Ni–Ti | [3] Povoden-Karadeniz 2013 cites Bellen 1996 | Table 6, p. 8, row 22 report | |
| -33.85 kJ/mol-atom | NiTi(B2) | 298.15 | model | CALPHAD | Ni–Ti | [2] Hu 2014 | Table 1, p. 5, row 7 report | |
| -33.339 kJ/mol-atom | TiNi-B2 | 298.15 | model | Calphad assessment | Ni–Ti | [3] Povoden-Karadeniz 2013 cites Matsumoto 2005 doi | Table 6, p. 8, row 23 report | |
| -31.159 per mol-atom | NiTi | 298.15 | model | Ni–Ti | [1] Santhy 2015 | Table 9, p. 6, row 14 report | ||
| -9.8 kJ/mol-atom | NiTi(B32) | 298.15 | model | CALPHAD | Ni–Ti | [2] Hu 2014 | Table 1, p. 5, row 11 report | |
| -40.9 kJ/mol-atom | NiTi(B2) | DFT | LMTO | Ni–Ti | [2] Hu 2014 cites Colinet 1993 doi | Table 1, p. 5, row 2 report | ||
| -39.8 kJ/mol-atom | TiNi B19' | 0 | DFT | 1st-princ. (LMTO-ASA) | Ni–Ti | [3] Povoden-Karadeniz 2013 cites Pasturel 1995 doi | Table 6, p. 8, row 35 report | |
| -39.5 kJ/mol-atom | TiNi B19' | 0 | DFT | 1st-princ. (FLAPW) | Ni–Ti | [3] Povoden-Karadeniz 2013 cites Hatcher 2009 doi | Table 6, p. 8, row 37 report | |
| -38.5 kJ/mol-atom | NiTi(B32) | DFT | LMTO | Ni–Ti | [2] Hu 2014 cites Colinet 1993 doi | Table 1, p. 5, row 9 report | ||
| -38.1 kJ/mol-atom | TiNi-B2 | 0 | DFT | 1st-princ. (LMTO-ASA) | Ni–Ti | [3] Povoden-Karadeniz 2013 cites Pasturel 1995 doi | Table 6, p. 8, row 26 report | |
| -38 kJ/mol-atom | TiNi-B2 | 0 | DFT | 1st-princ. (FP-LMTO) | Ni–Ti | [3] Povoden-Karadeniz 2013 cites Sanati 1998 doi | Table 6, p. 8, row 28 report | |
| -37.8 kJ/mol-atom | TiNi B19' | 0 | DFT | 1st-princ. (FP-LMTO) | Ni–Ti | [3] Povoden-Karadeniz 2013 cites Pasturel 1995 doi | Table 6, p. 8, row 36 report | |
| -36.665 kJ/mol-atom | TiNi-B2 | 0 | DFT | 1st-princ. (EMTO/GGA) | Ni–Ti | [3] Povoden-Karadeniz 2013 cites Lu 2007 doi | Table 6, p. 8, row 31 report | |
| -36 kJ/mol-atom | TiNi-B2 | 0 | DFT | 1st-princ. (FP-LMTO) | Ni–Ti | [3] Povoden-Karadeniz 2013 cites Pasturel 1995 doi | Table 6, p. 8, row 27 report | |
| -34.59 kJ/mol-atom | NiTi(B2) | 0 | DFT | Ab initio | Ni–Ti | [4] Tokunaga 2004 | Table 2, p. 3, row 2 report | |
| -34.1 kJ/mol-atom | TiNi-B2 | 0 | DFT | 1st-princ. (FLAPW) | Ni–Ti | [3] Povoden-Karadeniz 2013 cites Hatcher 2009 doi | Table 6, p. 8, row 29 report | |
| -33.77 kJ/mol-atom | TiNi-B2 | 0 | DFT | 1st-princ. (PW/LDA) | Ni–Ti | [3] Povoden-Karadeniz 2013 cites Huang 2002 | Table 6, p. 8, row 32 report | |
| -33.24 kJ/mol-atom | NiTi(B2) | 0 | DFT | First-principles | Ni–Ti | [2] Hu 2014 | Table 1, p. 5, row 6 report | |
| -32.784 kJ/mol-atom | TiNi-B2 | 0 | DFT | 1st-princ., GGA | Ni–Ti | [3] Povoden-Karadeniz 2013 | Table 6, p. 8, row 25 report | |
| -31.84 kJ/mol-atom | TiNi-B2 | 0 | DFT | 1st-princ. (PW/PBE) | Ni–Ti | [3] Povoden-Karadeniz 2013 cites Stott 2010 doi | Table 6, p. 8, row 30 report | |
| -29.29 kJ/mol-atom | NiTi(B32) | 0 | DFT | First-principles | Ni–Ti | [2] Hu 2014 | Table 1, p. 5, row 10 report |
Uncertainty budget
Components kept separate, in the value's unit (literature SCHEMA.md, UNCERTAINTY_CALIBRATION.md): effective = max(sqrt(max(printed, reading, method)^2 + composition^2 + conversion^2), scatter). The method floor is the robust between-study scatter of the method class in ORCHID (calibrated) or a documented prior; printed values and printed uncertainties are unchanged.
| Value | Unit | Printed | Reading | Method (class, basis) | Composition | Scatter | Conversion | Effective |
|---|---|---|---|---|---|---|---|---|
| -34.2 | per mol-atom | 2000 | 5.000e-4 | unit 'per mol-atom' not convertible to kJ/mol-atom | 2000 | |||
| -34.15 | kJ/mol-atom | 0.005 | 3.2 (solution_reaction_calorimetry, calibrated) | 3.2 | ||||
| -34 | kJ/mol-atom | 0.5 | 3.2 (solution_reaction_calorimetry, calibrated) | 3.2 | ||||
| -34 | per mol-atom | 2000 | 5.000e-4 | unit 'per mol-atom' not convertible to kJ/mol-atom | 2000 | |||
| -33.911 | per mol-atom | 2000 | 5.000e-4 | unit 'per mol-atom' not convertible to kJ/mol-atom | 2000 | |||
| -33.9 | kJ/mol-atom | 0.05 | 3.2 (solution_reaction_calorimetry, calibrated) | 3.2 | ||||
| -33.9 | kJ/mol-atom | 5.000e-4 | 3.2 (solution_reaction_calorimetry, calibrated) | 3.2 | ||||
| -33.1 | per mol-atom | 1100 | 5.000e-4 | unit 'per mol-atom' not convertible to kJ/mol-atom | 1100 | |||
| -33.1 | kJ/mol-atom | 1.1 | 0.05 | 3.5 (unknown, calibrated) | 3.5 | |||
| -32.51 | per mol-atom | 5.000e-4 | unit 'per mol-atom' not convertible to kJ/mol-atom | unit 'per mol-atom' not convertible to kJ/mol-atom | ||||
| -46 | kJ/mol-atom | 0.5 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -45.8 | per mol-atom | 5.000e-4 | unit 'per mol-atom' not convertible to kJ/mol-atom | unit 'per mol-atom' not convertible to kJ/mol-atom | ||||
| -38.347 | per mol-atom | 5.000e-4 | unit 'per mol-atom' not convertible to kJ/mol-atom | unit 'per mol-atom' not convertible to kJ/mol-atom | ||||
| -38.286 | per mol-atom | 5.000e-4 | unit 'per mol-atom' not convertible to kJ/mol-atom | unit 'per mol-atom' not convertible to kJ/mol-atom | ||||
| -38.1 | per mol-atom | 5.000e-4 | unit 'per mol-atom' not convertible to kJ/mol-atom | unit 'per mol-atom' not convertible to kJ/mol-atom | ||||
| -37.721 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -37.212 | per mol-atom | 5.000e-4 | unit 'per mol-atom' not convertible to kJ/mol-atom | unit 'per mol-atom' not convertible to kJ/mol-atom | ||||
| -36.5 | kJ/mol-atom | 0.05 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -36.1 | per mol-atom | 5.000e-4 | unit 'per mol-atom' not convertible to kJ/mol-atom | unit 'per mol-atom' not convertible to kJ/mol-atom | ||||
| -36 | per mol-atom | 5.000e-4 | unit 'per mol-atom' not convertible to kJ/mol-atom | unit 'per mol-atom' not convertible to kJ/mol-atom | ||||
| -34.721 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -34.16 | per mol-atom | 5.000e-4 | unit 'per mol-atom' not convertible to kJ/mol-atom | unit 'per mol-atom' not convertible to kJ/mol-atom | ||||
| -34.052 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -33.85 | kJ/mol-atom | 0.005 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -33.339 | kJ/mol-atom | 5.000e-4 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -31.159 | per mol-atom | 5.000e-4 | unit 'per mol-atom' not convertible to kJ/mol-atom | unit 'per mol-atom' not convertible to kJ/mol-atom | ||||
| -9.8 | kJ/mol-atom | 0.05 | 3.9 (model_calculated, calibrated) | 3.9 | ||||
| -40.9 | kJ/mol-atom | 0.05 | 3.929 (dft, calibrated) | 3.929 | ||||
| -39.8 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| -39.5 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| -38.5 | kJ/mol-atom | 0.05 | 3.929 (dft, calibrated) | 3.929 | ||||
| -38.1 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| -38 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| -37.8 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| -36.665 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| -36 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| -34.59 | kJ/mol-atom | 0.005 | 3.929 (dft, calibrated) | 3.929 | ||||
| -34.1 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| -33.77 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| -33.24 | kJ/mol-atom | 0.005 | 3.929 (dft, calibrated) | 3.929 | ||||
| -32.784 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| -31.84 | kJ/mol-atom | 5.000e-4 | 3.929 (dft, calibrated) | 3.929 | ||||
| -29.29 | kJ/mol-atom | 0.005 | 3.929 (dft, calibrated) | 3.929 |
DFT formation energies
Lowest-energy entries at this composition. Materials Project and OQMD use different energy references and are never averaged. 1 eV/atom = 96.485 kJ/mol-atom.
| Source | Entry | kJ/mol-atom | eV/atom | Space group | E above hull (kJ/mol-atom) | E above hull (eV/atom) | Theoretical |
|---|---|---|---|---|---|---|---|
| Materials Project | mp-aaaaaavz | -33.515 | -0.347361 | Pm-3m | 4.679 | 0.0485 | no |
| Materials Project | mp-aaaaaboi | -38.194 | -0.395855 | P2_1/m | 0 | 0 | no |
| OQMD | oqmd-107703 | -40.284 | -0.417516 | P21/m | 0.5977 | 0.0062 | no |
| OQMD | oqmd-116608 | -36.473 | -0.378019 | Pm-3m | 4.4085 | 0.0457 | no |
| OQMD | oqmd-2082617 | -32.491 | -0.336744 | Fd-3m | 8.391 | 0.087 | yes |
DFT sources: A. Jain et al., Commentary: The Materials Project: A materials genome approach to accelerating materials innovation, APL Materials 1 (2013) 011002. doi:10.1063/1.4812323 (CC BY 4.0); J. E. Saal et al., JOM 65 (2013) 1501-1509; S. Kirklin et al., npj Comput. Mater. 1 (2015) 15010. doi:10.1007/s11837-013-0755-4 (CC BY 4.0);
Sources
- K. Santhy, K.C. Hari Kumar, Thermodynamic reassessment of Nb-Ni-Ti system with order–disorder model, Journal of Alloys and Compounds 619, 733-747 (2015). doi:10.1016/j.jallcom.2014.08.200
- Biao Hu, Yong Du, J.C. Schuster, Weihua Sun, Shuhong Liu, Chengying Tang, Thermodynamic modeling of the Cr–Ni–Ti system using a four-sublattice model for ordered/disordered bcc phases, Thermochimica Acta 578, 35-42 (2014). doi:10.1016/j.tca.2014.01.002
- E. Povoden-Karadeniz, D.C. Cirstea, P. Lang, T. Wojcik, E. Kozeschnik, Thermodynamics of Ti–Ni shape memory alloys, Calphad 41, 128-139 (2013). doi:10.1016/j.calphad.2013.02.004
- Tatsuya Tokunaga, Koji Hashima, Hiroshi Ohtani, Mitsuhiro Hasebe, Thermodynamic Analysis of the Ni-Si-Ti System Using Thermochemical Properties Determined from Ab Initio Calculations, Mater. Trans. 45, 1507-1514 (2004). doi:10.2320/matertrans.45.1507