Skip to main content
SpringerLink
Log in

Theoretical prediction for thermoelastic properties of carbon nanotubes (CNTs) at different pressure or compression using equation of states

  • Original Paper
  • Published:
Journal of Mathematical Chemistry Aims and scope Submit manuscript

Abstract

In present work three EOSs (The modified Lenard Jones EOS, Birch–Murnaghan (3rd) EOS, Vinet–Rydburg EOS) are used to study thermo elastic properties of carbon nanotubes at high pressure. The results obtained in the calculation of pressure at the different value of V/V0 are in agreement with the experimental data this indicates that these EOSs can also be used for the calculation of nanomaterials. The present work also is in agreement to the work of Stacey that pressure increases with decreases in volume while Bulk modulus increases with increase in pressure, First order pressure derivative of isothermal Bulk modulus decreases with increase in pressure. Gruneisen parameter calculated from different EOSs also satisfies the fact that for a good approximation the ratio of Gruneisen parameter to V/V0 is constant.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

Data availability

The datasets generated during and/or analysed during the current study are available from the corresponding author.

References

  1. J. Sun, A modified Lennard–Jone type equation of state for solids strisfying the spinodal condition. J. Phys. Condensed Matter 17(12), L103–L111 (2005)

    Article  Google Scholar 

  2. F. Birch, Finite elastic strain of cubic crystals. Phys. Rev. 71, 809–824 (1947)

    Article  CAS  Google Scholar 

  3. P. Vinet, J. Ferrante, J.R. Smith, J.H. Rose, J. Phys. C 92, L467 (1986)

    Article  Google Scholar 

  4. P. Vinet, J. Ferrante, J.H. Rose, J.R. Smith, J. Phys. Res. 19, 9319 (1987)

    Article  Google Scholar 

  5. F.D. Stacey, B.J. Brennan, R.D. Irvine, Geophys. Surv. 4, 189 (1981)

    Article  Google Scholar 

  6. H.K. Rai, S.P. Shukla, A.K. Mishra, A.K. Pandey, Electron. J. Chem. 5, 385–394 (2008)

    CAS  Google Scholar 

  7. G. Borelius, Solid State Physics (Academic Press, New York, 1958), pp.6–65

    Google Scholar 

  8. M.A. Barton, F.D. Stacey, Phys. Earth Planet. Inter. 39, 167 (1985)

    Article  CAS  Google Scholar 

  9. J. Tang, L.C. Qin, T. Sasaki, M. Yudasaka, A. Matsushita, S. Iijima, Compressibility and polygonization of single-walled carbon nanotubes under hydrostatic pressure. Am. Phys. Soc. 85(9), 1887 (2000)

    CAS  Google Scholar 

  10. S.M. Sharma et al., Pressure-induced phase transformation and structural resilience of single-wall carbon nanotube bundles. Phys. Rev. Condensed Matter Mater. Phys. (2001). https://doi.org/10.1103/PhysRevB.63.205417

    Article  Google Scholar 

  11. F.D. Stacey, Phys. Earth Planet. Inter. 89, 219 (1995)

    Article  Google Scholar 

  12. R. Boehler, Phys. Rev. B 11, 6754 (1983)

    Article  Google Scholar 

  13. A.I. Ghazal, A.M. Al-Sheikh, J. Phys. Conf. Ser. (2021). https://doi.org/10.1088/1742-6596/1999/1/012075

    Article  Google Scholar 

  14. M.S. Ghiorso, Am. J. Sci. 1999, 304–752 (2004)

    Google Scholar 

  15. R. Gupta, M. Gupta, Indian Acad. Sci. 44, 218 (2021)

    CAS  Google Scholar 

Download references

Funding

The authors declared that they have not receive any funding for the paper entitled Theoretical prediction for Thermoelastic properties of carbon nanotubes (CNTs) at different pressure or compression using Equation of States.

Author information

Authors and Affiliations

  1. Department of Physics, Dr. Shakuntala Misra National Rehabilitation University, Lucknow, Uttar Pradesh, India

    Shivam Srivastava & Chandra K. Dixit

  2. Institute of Engineering and Technology, Dr. Shakuntala Misra National Rehabilitation University, Lucknow, Uttar Pradesh, India

    Anjani K. Pandey

Authors
  1. Shivam Srivastava
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Anjani K. Pandey
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Chandra K. Dixit
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

All persons who meet authorship criteria are listed as authors, and all authors certify that they have participated sufficiently in the work to take public responsibility for the content, including participation in the concept, design, analysis, writing, or revision of the manuscript. Furthermore, each author certifies that this material or similar material has not been and will not be submitted to or published in any other publication before its appearance in the “Journal of Mathematical Chemistry”. Category 1 Conception and design of study: AKP, acquisition of data: SS, analysis and/or interpretation of data: CKD, Category 2 Drafting the manuscript: SS. Approval of the version of the manuscript to be published.

Corresponding author

Correspondence to Anjani K. Pandey.

Ethics declarations

Competing interests

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Ethical approval

Hereby, Prof. Chandra Kumar Dixit, Dr. Anjani Kumar Pandey and Shivam Srivastava consciously assure that for the manuscript Theoretical prediction for thermoelastic properties of carbon nanotubes (CNTs) at different pressure or compression using Equation of States the following is fulfilled: (1) This material is the author’s own original work, which has not been previously published elsewhere. (2) The paper is not currently being considered for publication elsewhere. (3) The paper reflects the author's own research and analysis in a truthful and complete manner. (4) The paper properly credits the meaningful contributions of co-authors and co-researchers. (5) The results are appropriately placed in the context of prior and existing research. (6) All sources used are properly disclosed (correct citation). Literally copying of text must be indicated as such by using quotation marks and giving proper reference. (7) All authors have been personally and actively involved in substantial work leading to the paper, and will take public responsibility for its content. I agree with the above statements and declare that this submission follows the policies of Solid State Ionics as outlined in the Guide for Authors and in the Ethical Statement.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Srivastava, S., Pandey, A.K. & Dixit, C.K. Theoretical prediction for thermoelastic properties of carbon nanotubes (CNTs) at different pressure or compression using equation of states. J Math Chem 61, 2098–2104 (2023). https://doi.org/10.1007/s10910-023-01506-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10910-023-01506-3

Keywords

Search

Navigation