Determination of accurate theoretical values for thermodynamic properties in bulk metallic glasses

  • Pei-You Li Gang Wang Ding Ding Jun Shen
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  • School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001, People’s Republic of China

Received date: 2013-07-15

  Revised date: 2013-09-23

  Online published: 2013-09-28

Supported by

The National Natural Science Foundation of China (Grant No. 51025415).

Abstract

Deviation values of specific heat difference DCp; the Gibbs free energy difference DG; enthalpy difference DH; and entropy difference DS between the
supercooled liquid and corresponding crystalline phase produced by the linear, hyperbolic, and Dubey’s expressions of DCp and the corresponding experimental values  are determined for sixteen bulk metallic glasses (BMGs) from the glass transition temperature Tg to the melting temperature Tm: The calculated values produced by the hyperbolic expression for DCp most closely approximate experimental values, indicating that the hyperbolic DCp
expression can be considered universally applicable,compared to linear and Dubey’s expressions for DCp;which are accurate only within a limited range of conditions.For instance, Dubey’s DCp expression provides a good approximation of actual experimental values within certain conditions.

Cite this article

Pei-You Li Gang Wang Ding Ding Jun Shen . Determination of accurate theoretical values for thermodynamic properties in bulk metallic glasses[J]. Advances in Manufacturing, 2013 , 1(4) : 293 -304 . DOI: 10.1007/s40436-013-0040-3

References

1. Zallen R (1973) The physics of amorphous solids. Wiley, New York

2. Machlin E (2007) An introduction to aspects of thermodynamics kinetics relevant to materials science. Elsevier, Science or Technology Books, Amsterdam

3. Stillinger FH (1988) Supercooled liquids, glass transitions and the Kauzmann paradox. J Chem Phys 88:7818–7825

4. Turnbull D (1950) Formation of crystal nuclei in liquid metals.J Appl Phys 21:1022–1028

5. Paul A (1982) Chemistry of glasses. Chapman and Hall, London

6. Singh HB, Holz A (1983) Stability limit of supercooled liquids.Solid State Commun 45:985–988

7. Dubey KS (2010) Thermodynamic and viscous behaviour of glass forming melts and glass forming ability. AIP Conf Proc 1249:211–232

8. Singh PK, Dubey KS (2012) Thermodynamic behaviour of bulk metallic glasses. Thermochim Acta 530:120–127

9. Jones D, Chadwick G (1971) An expression for the free energy of fusion in the homogeneous nucleation of solid from pure melts.Philos Mag 24:995–998

10. Mondal K, Chatterjee UK, Murty BS (2003) Gibb’s free energy for the crystallization of glass forming liquids. Appl Phys Lett 83:671–673

11. Patel TA, Pratap A (2010) Study of thermodynamic properties of Pt57.3Cu14.6Ni5.3P22.8 bulk metallic glass. AIP Conf Proc 1249:161–165

12. Thompson CV, Spaepen F (1979) On the approximation of the free energy change on crystallization. Acta Metall 27:1855–1859

13. Hoffman JD (1958) Thermodynamic driving force in nucleation and growth processes. J Chem Phys 29:1192–1193

14. Ji X, Pan Y (2007) Gibbs free energy difference in metallic glass forming liquids. J Non-Cryst Solids 353:2443–2446

15. Li PY, Wang G, Ding D et al (2013) Characterizing thermodynamic properties of Ti-Cu-Ni-Zr bulk metallic glasses by hyperbolic expression. J Alloys Compd 550:221–225

16. Jiang QK, Zhang GQ, Yang L et al (2007) La-based bulk metallic glasses with critical diameter up to 30 mm. Acta Mater 55:4409–4418

17. Lu ZP, Hu X, Li Y (2000) Thermodynamics of La based La-Al-Cu-Ni-Co alloys studied by temperature modulated DSC. Intermetallics 8:477–480

18. Glade SC, Busch R, Lee DS et al (2000) Thermodynamics of Cu47Ti34Zr11Ni8, Zr52.5Cu17.9Ni14.6Al10Ti5 and Zr57Cu15.4Ni12.6Al10Nb5 bulk metallic glass forming alloys. J Appl Phys 87:7242–7248

19. Jiang QK, Wang XD, Nie XP et al (2008) Zr-(Cu, Ag)-Al bulk metallic glasses. Acta Mater 56:1785–1796

20. Busch R, Liu W, Johnson WL (1998) Thermodynamics and kinetics of the Mg65Cu25Y10 bulk metallic glass forming liquid.J Appl Phys 83:4134–4141

21. Legg BA, Schroers J, Busch R (2007) Thermodynamics, kinetics,and crystallization of Pt57.3Cu14.6Ni5.3P22.8 bulk metallic glass.Acta Mater 55:1109–1116

22. Li PY, Wang G, Ding D et al (2012) Glass forming ability and thermodynamics in the new Ti-Cu-Ni-Zr bulk metallic glasses.J Non-Cryst Solids 358:3200–3204

23. Busch R, Kim YJ, Johnson WL (1995) Thermodynamics and kinetics of the undercooled liquid and the glass transition of the Zr41.2Ti13.8Cu12.5Ni10.0Be22.5 alloy. J Appl Phys 77:4039–4043

24. Cai AH, Chen H, Li X et al (2007) An expression for the calculation of Gibbs free energy difference of multi-component bulk metallic glasses. J Alloys Compd 430:232–236

25. Gallino I, Shah MB, Busch R (2007) Enthalpy relaxation and its relation to the thermodynamics and crystallization of the Zr58.5Cu15.6Ni12.8Al10.3Nb2.8 bulk metallic glass-forming alloy.Acta Mater 55:1367–1376

26. Fan GJ, Loffler JF, Wunderlich RK et al (2004) Thermodynamics,enthalpy relaxation and fragility of the bulk metallic glassforming liquid Pd43Ni10Cu27P20. Acta Mater 52:667–674
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