SpringerLink
Log in

On the Computation of Temperature Indices of Silicates, with Strong Potential to Predict the Boiling Point of Hydrocarbons

  • Research
  • Published:
Silicon Aims and scope Submit manuscript

Abstract

The molecular graph of a chemical compound can be measured using a topological index, which helps us to understand its physical and chemical characteristics. Topological indices play a crucial role in characterizing the different chemical properties of substances, such as \(SiO_{4}\), within the field of chemical graph theory. \(SiO_{4}\) is an important compound owing to its versatility, accessibility, and quantifiability. In this study, we developed the methodology for calculating various temperature indices for a linear molecular graph of \(SiO_{4}\). We compare and find the correlation of temperature indices of silicate chain. In the last section of the paper, we present an application of benzenoid hydrocarbons to elucidate the significance of temperature indices.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Canada)

Instant access to the full article PDF.

Institutional subscriptions

Data Availability

No datasets were generated or analysed during the current study.

References

  1. Costa PC, Evangelista JS, Leal I, Miranda PC (2020) Chemical graph theory for property modeling in QSAR and QSPR-charming QSAR & QSPR. Mathematics 9(1):60

    Article  Google Scholar 

  2. Mondal S, Dey A, De N, Pal A (2021) QSPR analysis of some novel neighbourhood degree-based topological descriptors. Complex Intell. Syst. 7:977–996

    Article  Google Scholar 

  3. Yan T, Kosar Z, Aslam A, Zaman S, Ullah A (2023) Spectral techniques and mathematical aspects of K4 chain graph. Phys. Scr. 98(4):045222

    Article  Google Scholar 

  4. Tang JH, Yousaf S, Ashraf MJ, Tawfiq FM, Aslam AA (2024) Expected values of sum-based topological indices of random cyclodecane chains. Phys. Scr. 99(3):035020

    Article  Google Scholar 

  5. Aslam A, Saeed S, Kanwal S, Tchier F (2024) Investigating hexagonal closed packed crystal lattice through QSPR modeling via linear regression analysis and Topsis. Phys. Scr. 99(2):025201

  6. Zakharov AB, Tsarenko DK, Ivanov VV (2021) Topological characteristics of iterated line graphs in the QSAR problem: A multigraph in the description of properties of unsaturated hydrocarbons. Struct. Chem. 32(4):1629–1639

  7. Khan AR, Zia A, Campeña FJH, Siddiqui MK, Tchier F, Hussain S (2024) Investigations of Entropy Double & Strong Double Graph of Silicon Carbide. Silicon, p 1-11

  8. Xu JZ, Hussain Z, Metwally ASM, Binyamin MA (2024) A Mathematical Investigation for the Temperature Indices of \(SiO_{4}\) in Silicate and Silicate Chain Networks. Silicon, pp 1-10

  9. Diudea MV, Gutman I, Jantschi L (2001) Molecular topology. Nova Science Publishers, Huntington, NY, USA

    Google Scholar 

  10. Fajtlowicz S (1988) On conjectures of graffiti. Ann. Discrete Math. 38:113–118

    Article  Google Scholar 

  11. Zhong L (2012) The harmonic index for graphs. Appl. Math. Lett. 25(3):561–566

    Article  Google Scholar 

  12. Sedlar J, Stevanović D, Vasilyev A (2015) On the inverse sum indeg index. Discret Appl Math 184:202–12

    Article  Google Scholar 

  13. Wang Y, Aslam A, Idrees N, Kanwal S, Iram N, Razzaque A (2023) On trees with given independence numbers with maximum Gourava indices. Sym. 22;15(2):308

  14. Cruz R, Gutman I, Rada J (2021) Sombor index of chemical graphs. Appl Math Comput 15(399):126018

    Google Scholar 

  15. Vujošević S, Popivoda G, Vukićević ŽK, Furtula B, Škrekovski R (2021) Arithmetic-geometric index and its relations with geometric-arithmetic index. Appl. Math. Comput. 391:125706

    Google Scholar 

  16. Balmaceda-Huarte R, Olmo ME, Bettolli ML, Poggi MM, (2021) Evaluation of multiple reanalyses in reproducing the spatio-temporal variability of temperature and precipitation indices over southern South America. Int. J. Climatol. 41(12):5572–5595

  17. Liebau F (2012) Structural chemistry of silicates: structure, bonding, and classification. Springer Science & Business Media

  18. Gutman I, Cyvin SJ (2012) Introduction to the theory of benzenoid hydrocarbons. Springer Science & Business Media

  19. Luĉić B, Trinajstic N, Zhou B (2009) Comparison between the sum-connectivity index and product connectivity index for benzenoid hydrocarbons. Chem. Phys. Lett. 475(1–3):146–148

    Article  Google Scholar 

  20. Ramane HS, Joshi VB, Jummannaver RB, Shindhe SD (2019) Relationship between Randić index, sum-connectivity index, Harmonic index and \(\pi \)-electron energy for benzenoid hydrocarbons. Natl. Acad. Sci. Lett. 42:519–524

    Article  Google Scholar 

  21. Ramane HS, Yalnaik AS (2017) Status connectivity indices of graphs and its applications to the boiling point of benzenoid hydrocarbons. J. Appl. Math. Comput. 55:609–627

    Article  Google Scholar 

Download references

Acknowledgements

We would like to express our sincere gratitude to the referees for their invaluable comments and suggestions, which have significantly improved the quality of this manuscript. Their thorough reviews and insightful feedback were instrumental in enhancing the clarity and robustness of our work.

Funding

The research is supported by the 2022 Program of Academic Funding for Top Talents of Higher Education Disciplines (Majors) of Anhui Province (gxbjZD2022080). Additionally, this research is also supported by Funding Researchers Supporting Project Number (RSP2024R440) by King Saud University, Riyadh, Saudi Arabia.

Author information

Authors and Affiliations

  1. Department of Electronics and Information Engineering, Bozhou University, 236800, Bozhou, P.R. China

    Jian Zhong Xu

  2. School of Mathematics and Statistics, Northwestern Polytechnical University, 710129, **’an, Shaanxi, China

    Zaryab Hussain

  3. Mathematics Department, College of Science, King Saud University, P.O. Box22452, 11495, Riyadh, Saudi Arabia

    Fairouz Tchier & Ferdous Tawfiq

Authors
  1. Jian Zhong Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zaryab Hussain
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Fairouz Tchier
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ferdous Tawfiq
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

All authors contributed equally.

Corresponding author

Correspondence to Zaryab Hussain.

Ethics declarations

Competing interests

The authors declare no competing interests.

Conflict of interest

We declare that we have no conflicts of interest.

Ethics approval

Not applicable. This study did not involve human participants, animals, or data that required ethical approval.

Consent to participate

Yes, informed consent was obtained from all individual participants involved in the study.

Consent to publication

Yes, consent for publication was obtained from all participants whose identifiable information is included in this study.

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

Xu, J.Z., Hussain, Z., Tchier, F. et al. On the Computation of Temperature Indices of Silicates, with Strong Potential to Predict the Boiling Point of Hydrocarbons. Silicon (2024). https://doi.org/10.1007/s12633-024-03081-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12633-024-03081-x

Keywords

Search

Navigation