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

Enthalpy of formation of NiTi reported in the literature (43)
ValuePhase as printedT (K)ClassMethodSystemSourceLocationQuote
-34.2 per mol-atom ± 2000NiTi999.15experimentalNi–Ti[1] Santhy 2015
cites Gomozov 1986
Table 9, p. 6, row 17
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-34.15 kJ/mol-atomNiTi(B2)999experimentalCalorimetryNi–Ti[2] Hu 2014
cites Gomozov 1986
Table 1, p. 5, row 5
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-34 kJ/mol-atomNiTi(B2)1460experimentalCalorimetryNi–Ti[2] Hu 2014
cites Gachon 1981 doi
Table 1, p. 5, row 3
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-34 per mol-atom ± 2000NiTi1460.15experimentalNi–Ti[1] Santhy 2015
cites Gachon 1981 doi
Table 9, p. 6, row 15
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-33.911 per mol-atom ± 2000NiTi298.15experimentalNi–Ti[1] Santhy 2015
cites Kubaschewski 1956 doi
Table 9, p. 6, row 13
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-33.9 kJ/mol-atomNiTi(B2)298.15experimentalCalorimetryNi–Ti[2] Hu 2014
cites Kubaschewski 1956 doi
Table 1, p. 5, row 4
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-33.9 kJ/mol-atomTiNi-B2298.15experimentaldirect synthesis calorimetryNi–Ti[3] Povoden-Karadeniz 2013
cites Kubaschewski 1958 doi
Table 6, p. 8, row 24
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-33.1 per mol-atom ± 1100NiTi1477.15experimentalNi–Ti[1] Santhy 2015
cites ref. 1998Guo
Table 9, p. 6, row 21
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-33.1 kJ/mol-atom ± 1.1NiTi(B2)298.15experimentalNi–Ti[4] Tokunaga 2004
cites Guo 1998 doi
Table 2, p. 3, row 3
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-32.51 per mol-atomNiTi1173.15experimentalNi–Ti[1] Santhy 2015
cites Yi 1989 doi
Table 9, p. 6, row 19
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-46 kJ/mol-atomNiTi(B2)modelTBBNi–Ti[2] Hu 2014
cites Colinet 1993 doi
Table 1, p. 5, row 1
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-45.8 per mol-atomNiTi298.15modelMiedemaNi–Ti[1] Santhy 2015Table 9, p. 6, row 28
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-38.347 per mol-atomNiTi1477.15modelNi–Ti[1] Santhy 2015Table 9, p. 6, row 22
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-38.286 per mol-atomNiTi1460.15modelNi–Ti[1] Santhy 2015Table 9, p. 6, row 16
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-38.1 per mol-atomNiTimodelFPNi–Ti[1] Santhy 2015
cites Pasturel 1995 doi
Table 9, p. 6, row 25
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-37.721 kJ/mol-atomTiNi B19'298.15modelCalphad assessmentNi–Ti[3] Povoden-Karadeniz 2013Table 6, p. 8, row 33
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-37.212 per mol-atomNiTi1173.15modelNi–Ti[1] Santhy 2015Table 9, p. 6, row 20
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-36.5 kJ/mol-atomNiTi(B32)modelTBBNi–Ti[2] Hu 2014
cites Colinet 1993 doi
Table 1, p. 5, row 8
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-36.1 per mol-atomNiTimodelFPNi–Ti[1] Santhy 2015Table 9, p. 6, row 27
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-36 per mol-atomNiTimodelFPNi–Ti[1] Santhy 2015
cites Pasturel 1995 doi
Table 9, p. 6, row 26
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-34.721 kJ/mol-atomTiNi-B2298.15modelCalphad assessmentNi–Ti[3] Povoden-Karadeniz 2013Table 6, p. 8, row 21
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-34.16 per mol-atomNiTi999.15modelNi–Ti[1] Santhy 2015Table 9, p. 6, row 18
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-34.052 kJ/mol-atomTiNi-B2298.15modelCalphad assessmentNi–Ti[3] Povoden-Karadeniz 2013
cites Bellen 1996
Table 6, p. 8, row 22
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-33.85 kJ/mol-atomNiTi(B2)298.15modelCALPHADNi–Ti[2] Hu 2014Table 1, p. 5, row 7
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-33.339 kJ/mol-atomTiNi-B2298.15modelCalphad assessmentNi–Ti[3] Povoden-Karadeniz 2013
cites Matsumoto 2005 doi
Table 6, p. 8, row 23
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-31.159 per mol-atomNiTi298.15modelNi–Ti[1] Santhy 2015Table 9, p. 6, row 14
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-9.8 kJ/mol-atomNiTi(B32)298.15modelCALPHADNi–Ti[2] Hu 2014Table 1, p. 5, row 11
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-40.9 kJ/mol-atomNiTi(B2)DFTLMTONi–Ti[2] Hu 2014
cites Colinet 1993 doi
Table 1, p. 5, row 2
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-39.8 kJ/mol-atomTiNi B19'0DFT1st-princ. (LMTO-ASA)Ni–Ti[3] Povoden-Karadeniz 2013
cites Pasturel 1995 doi
Table 6, p. 8, row 35
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-39.5 kJ/mol-atomTiNi B19'0DFT1st-princ. (FLAPW)Ni–Ti[3] Povoden-Karadeniz 2013
cites Hatcher 2009 doi
Table 6, p. 8, row 37
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-38.5 kJ/mol-atomNiTi(B32)DFTLMTONi–Ti[2] Hu 2014
cites Colinet 1993 doi
Table 1, p. 5, row 9
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-38.1 kJ/mol-atomTiNi-B20DFT1st-princ. (LMTO-ASA)Ni–Ti[3] Povoden-Karadeniz 2013
cites Pasturel 1995 doi
Table 6, p. 8, row 26
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-38 kJ/mol-atomTiNi-B20DFT1st-princ. (FP-LMTO)Ni–Ti[3] Povoden-Karadeniz 2013
cites Sanati 1998 doi
Table 6, p. 8, row 28
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-37.8 kJ/mol-atomTiNi B19'0DFT1st-princ. (FP-LMTO)Ni–Ti[3] Povoden-Karadeniz 2013
cites Pasturel 1995 doi
Table 6, p. 8, row 36
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-36.665 kJ/mol-atomTiNi-B20DFT1st-princ. (EMTO/GGA)Ni–Ti[3] Povoden-Karadeniz 2013
cites Lu 2007 doi
Table 6, p. 8, row 31
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-36 kJ/mol-atomTiNi-B20DFT1st-princ. (FP-LMTO)Ni–Ti[3] Povoden-Karadeniz 2013
cites Pasturel 1995 doi
Table 6, p. 8, row 27
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-34.59 kJ/mol-atomNiTi(B2)0DFTAb initioNi–Ti[4] Tokunaga 2004Table 2, p. 3, row 2
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-34.1 kJ/mol-atomTiNi-B20DFT1st-princ. (FLAPW)Ni–Ti[3] Povoden-Karadeniz 2013
cites Hatcher 2009 doi
Table 6, p. 8, row 29
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-33.77 kJ/mol-atomTiNi-B20DFT1st-princ. (PW/LDA)Ni–Ti[3] Povoden-Karadeniz 2013
cites Huang 2002
Table 6, p. 8, row 32
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-33.24 kJ/mol-atomNiTi(B2)0DFTFirst-principlesNi–Ti[2] Hu 2014Table 1, p. 5, row 6
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-32.784 kJ/mol-atomTiNi-B20DFT1st-princ., GGANi–Ti[3] Povoden-Karadeniz 2013Table 6, p. 8, row 25
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-31.84 kJ/mol-atomTiNi-B20DFT1st-princ. (PW/PBE)Ni–Ti[3] Povoden-Karadeniz 2013
cites Stott 2010 doi
Table 6, p. 8, row 30
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-29.29 kJ/mol-atomNiTi(B32)0DFTFirst-principlesNi–Ti[2] Hu 2014Table 1, p. 5, row 10
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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.

Uncertainty budget of the literature values of NiTi
ValueUnitPrintedReadingMethod (class, basis)CompositionScatterConversionEffective
-34.2per mol-atom20005.000e-4unit 'per mol-atom' not convertible to kJ/mol-atom2000
-34.15kJ/mol-atom0.0053.2 (solution_reaction_calorimetry, calibrated)3.2
-34kJ/mol-atom0.53.2 (solution_reaction_calorimetry, calibrated)3.2
-34per mol-atom20005.000e-4unit 'per mol-atom' not convertible to kJ/mol-atom2000
-33.911per mol-atom20005.000e-4unit 'per mol-atom' not convertible to kJ/mol-atom2000
-33.9kJ/mol-atom0.053.2 (solution_reaction_calorimetry, calibrated)3.2
-33.9kJ/mol-atom5.000e-43.2 (solution_reaction_calorimetry, calibrated)3.2
-33.1per mol-atom11005.000e-4unit 'per mol-atom' not convertible to kJ/mol-atom1100
-33.1kJ/mol-atom1.10.053.5 (unknown, calibrated)3.5
-32.51per mol-atom5.000e-4unit 'per mol-atom' not convertible to kJ/mol-atomunit 'per mol-atom' not convertible to kJ/mol-atom
-46kJ/mol-atom0.53.9 (model_calculated, calibrated)3.9
-45.8per mol-atom5.000e-4unit 'per mol-atom' not convertible to kJ/mol-atomunit 'per mol-atom' not convertible to kJ/mol-atom
-38.347per mol-atom5.000e-4unit 'per mol-atom' not convertible to kJ/mol-atomunit 'per mol-atom' not convertible to kJ/mol-atom
-38.286per mol-atom5.000e-4unit 'per mol-atom' not convertible to kJ/mol-atomunit 'per mol-atom' not convertible to kJ/mol-atom
-38.1per mol-atom5.000e-4unit 'per mol-atom' not convertible to kJ/mol-atomunit 'per mol-atom' not convertible to kJ/mol-atom
-37.721kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-37.212per mol-atom5.000e-4unit 'per mol-atom' not convertible to kJ/mol-atomunit 'per mol-atom' not convertible to kJ/mol-atom
-36.5kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-36.1per mol-atom5.000e-4unit 'per mol-atom' not convertible to kJ/mol-atomunit 'per mol-atom' not convertible to kJ/mol-atom
-36per mol-atom5.000e-4unit 'per mol-atom' not convertible to kJ/mol-atomunit 'per mol-atom' not convertible to kJ/mol-atom
-34.721kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-34.16per mol-atom5.000e-4unit 'per mol-atom' not convertible to kJ/mol-atomunit 'per mol-atom' not convertible to kJ/mol-atom
-34.052kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-33.85kJ/mol-atom0.0053.9 (model_calculated, calibrated)3.9
-33.339kJ/mol-atom5.000e-43.9 (model_calculated, calibrated)3.9
-31.159per mol-atom5.000e-4unit 'per mol-atom' not convertible to kJ/mol-atomunit 'per mol-atom' not convertible to kJ/mol-atom
-9.8kJ/mol-atom0.053.9 (model_calculated, calibrated)3.9
-40.9kJ/mol-atom0.053.929 (dft, calibrated)3.929
-39.8kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
-39.5kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
-38.5kJ/mol-atom0.053.929 (dft, calibrated)3.929
-38.1kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
-38kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
-37.8kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
-36.665kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
-36kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
-34.59kJ/mol-atom0.0053.929 (dft, calibrated)3.929
-34.1kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
-33.77kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
-33.24kJ/mol-atom0.0053.929 (dft, calibrated)3.929
-32.784kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
-31.84kJ/mol-atom5.000e-43.929 (dft, calibrated)3.929
-29.29kJ/mol-atom0.0053.929 (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.

DFT formation energy of NiTi
SourceEntrykJ/mol-atomeV/atomSpace groupE above hull (kJ/mol-atom)E above hull (eV/atom)Theoretical
Materials Projectmp-aaaaaavz-33.515-0.347361Pm-3m4.6790.0485no
Materials Projectmp-aaaaaboi-38.194-0.395855P2_1/m00no
OQMDoqmd-107703-40.284-0.417516P21/m0.59770.0062no
OQMDoqmd-116608-36.473-0.378019Pm-3m4.40850.0457no
OQMDoqmd-2082617-32.491-0.336744Fd-3m8.3910.087yes

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

  1. 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
  2. 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
  3. 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
  4. 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