Skip to main content

Phonon Dynamics and Collective Excitations in Cu60Zr20Hf10Ti10 Bulk Metallic Glass

  • Conference paper
  • First Online:
Recent Advances in Manufacturing Processes

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

  • 440 Accesses

Abstract

Bulk metallic glasses (BMGs) are the new engineering materials. Different BMGs have different extraordinary properties. Technologists find potential applications of BMGs based upon their excellent thermodynamic, elastic, magnetic, electronic transport and superconducting properties. Their properties like high strength, good formability, corrosion resistance etc. attract researchers to experimentally explore or theoretically predict some novel applications. In the recent years, the current status of BMGs as structural materials, functional materials, microelectromechanical systems (MEMS), micro/macro devices, biomedical devices, bio-mimic materials etc. have caught the attention of many industrial sectors. Under the current theoretical work, thermodynamic and elastic properties of Cu60Zr20Hf10Ti10 BMG have been computed and reported in a nutshell. Here, pseudopotential formalism is applied, wherein pseudo-alloy-atom (PAA) model with Wills-Harrison (WH) approach is used for the computation of the interatomic pair potential [V(r)] and pair correlation function (PCF) [g(r)] using Shaw’s optimized model pseudopotential. Phonon Dispersion Curves (PDCs) are theoretically generated through HB- approach, where the screening dependency is examined by five dissimilar and versatile H-, T-, IU-, F- and S- local field correction functions. The vibrational dynamics of quaternary Cu60Zr20Hf10Ti10 BMG, in terms of the longitudinal and transverse phonon eigenfrequencies of the localized collective excitations, have been theoretically examined at room temperature in the present study. Some important elastic and thermodynamic properties have been estimated from the elastic limits of the PDCs.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Gandhi AL, Vora AM (2019) Theoretical study of thermodynamic and elastic properties of Ti50Be34Zr16 BMG—a pseudopotential method. Int J Trend Sci Res Dev 3:1076–1080. https://doi.org/10.31142/ijtsrd21550

    Article  Google Scholar 

  2. Vora AM, Gandhi AL (2019) Collective dynamics of Zr-based bulk metallic glasses. Chinese J Phys 62:284–295. https://doi.org/10.1016/j.cjph.2019.10.013

    Article  Google Scholar 

  3. Gandhi AL, Vora AM (2020) A theoretical study of vibrational dynamics of Ti60Zr16V9Cu3Al3Be9 hexanary bulk metallic glass by pseudopotential theory and estimation of thermodynamic and elastic properties using BS approach. AIP Conf Proc 2224:030010(1)–030010(5). https://doi.org/10.1063/5.0000487

  4. Vora AM, Gandhi AL (2021) Phonon dynamics of Zr67Ni33 and Fe80B20 binary glassy alloys. BIBECHANA 18:33–47. https://doi.org/10.3126/bibechana.v18il.28760

    Article  Google Scholar 

  5. Vora AM (2008) Phonon dispersion in binary metallic glasses. Glass Phys Chem 34(6):671–682

    Article  Google Scholar 

  6. Wang ZX et al (2004) Crystallization mechanism of Cu-based supercooled liquid under ambient and high pressure. Phys Rev B 46(092202):1–4

    Google Scholar 

  7. Wang ZX et al (2003) Formation and crystallization of CuZrHfTi BMG under ambient and high pressure. J Phys: Condens Matter 15:5923–5932

    MathSciNet  Google Scholar 

  8. Wang ZX (2006) Elastic properties of Cu60Zr20Hf10Ti10 BMG under high pressure. Mater Lett 60:831–833

    Article  Google Scholar 

  9. Agarwal PC (2005) Dynamics of BMG Cu60Zr20Hf10Ti10. Mater Sci Eng-A 404(1–2):301–304

    Article  Google Scholar 

  10. Borja Soto CE et al (2016) Composition, elastic property and packing efficiency predictions for BMGs in binary. Ternary Quat Syst Mat Res 19(2):285–329

    Google Scholar 

  11. Wills JM, Harrison WA (1983) Interionic interactions in transition metals. Phys Rev B 28:4363–4373

    Article  Google Scholar 

  12. Shaw RW (1968) Optimum form of a modified Heine-Abarenkov model potential for the theory of simple metals. Phys Rev 174(3):769–781

    Article  Google Scholar 

  13. Harrison WA (1999) Elementary electronic structure. World Scientific, Singapore

    Book  Google Scholar 

  14. Taylor R (1978) A simple, useful analytical form of the static electron gas dielectric function. J Phys F: Metal Phys 8:1699–1702

    Article  Google Scholar 

  15. Ichimaru S, Utsumi K (1981) Analytic expression for the dielectric screening function of strongly coupled electron liquids at metallic and lower densities. Phys Rev B 24(12):7385–7388

    Article  Google Scholar 

  16. Farid B et al (1993) Extremal properties of the Harris-Foulkes functional and an improved screening calculation for the electron gas. Phys Rev B 48(16):11602–11621

    Article  Google Scholar 

  17. Sarkar A et al (1998) Static local field factor for dielectric screening function of electron gas at metallic and lower densities. Mod Phys Lett B 12(6):639–648

    Article  Google Scholar 

  18. Hubbard J, Beeby JL (1969) Collective motion in liquids. J Phys C: Solid State Phys 2(3):556–571

    Article  Google Scholar 

  19. HaiBo KE et al (2015) Structural heterogeneity and deformation rheology in metallic glasses. Sci China Technol Sci 58:47–55

    Article  Google Scholar 

  20. Li S et al (2005) Formation and properties of new heavy rare-earth-based bulk metallic glasses. Sci Tech Adv Mater 6:823

    Article  Google Scholar 

  21. Bretonnet JL, Derouiche A (1990) Variational thermodynamic calculations for liquid transition metals. Phys Rev B 43:8924–8929

    Article  Google Scholar 

  22. Thorpe MF (1983) Continuous deformation in random networks. J Non-Cryst Solids 57(3):355–370

    Article  Google Scholar 

  23. Wang WH et al (2004) Bulk metallic glasses. Mater Sci Eng 44:45–89

    Article  Google Scholar 

  24. Rouxel T (2007) Elastic properties and short-to-medium range order in glasses. J Am Ceram Soc 90(10):3019–3039

    Article  Google Scholar 

  25. Wang WH (2011) The elastic properties, elastic models and elastic perspectives of metallic glasses. Prog Mater Sci 57(3):487–656

    Article  Google Scholar 

  26. Wang WH (2006) Correlation between elastic moduli and properties in bulk metallic glass. J Appl Phys 99(093506):1–10

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Gandhi, A.L., Vora, A.M. (2022). Phonon Dynamics and Collective Excitations in Cu60Zr20Hf10Ti10 Bulk Metallic Glass. In: Kumari, R., Majumdar, J.D., Behera, A. (eds) Recent Advances in Manufacturing Processes. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-16-3686-8_8

Download citation

  • DOI: https://doi.org/10.1007/978-981-16-3686-8_8

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-3685-1

  • Online ISBN: 978-981-16-3686-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics