Skip to main content
Log in

Unveiling Hierarchies and Structural Complexity in Silicon-Based Crystals: Insights into their Structural, Elastic, and Radiation Properties through Hirshfeld Analysis

  • Research
  • Published:
Silicon Aims and scope Submit manuscript

Abstract

This inclusive work explores the structures, elastic, and γ-rays shields attributes of silicon-based crystals, specifically focusing on SiO, SiO2, and SiO4. The structural analysis reveals diverse characteristics influenced by chemical composition and crystallography, showcasing variations in Si-bonding environments, bond lengths, and geometries. Examination of elastic properties, represented by bulk and shear moduli, uncovers distinctive trends across different crystals, highlighting the intricate interplay of chemical complexity and crystal symmetry. The study extends to radiation shielding effectiveness against γ-rays, with a thorough exploration of mass and linear attenuation coefficients. The work incorporates insights from Hirshfeld topological surfaces (HTSs) and void analyses to assess the impact of crystal structure on γ-ray interaction. The Si-based crystal exhibits notable effectiveness in shielding, with energy-dependent trends observed across all crystals. In addition, this research introduces a detailed analysis of Hirshfeld volume (V) and surface area (A) (155.35 < V < 219.45Å3, 226.94 < A < 255.65Å2), offering a unique perspective on interatomic relationships, interaction strengths in percent among different pairs of atoms in the crystal (56.0 < Si…O < 58.9%, 0.0 < Si…Si < 44.0%, 0.0 < O…O < 43.1%), hierarchies and complexities within their atomic arrangements in the unit cell. The study explores the void spaces within crystals, providing insights into their impact on structural, elastic, and radiation properties. The conclusions accompanied with a discussion on the potential optimization of silicon-based crystals, considering the trade-offs between density and various HTSs hallmarks. The results contribute to a nuanced understanding of the relationships between crystallographic attributes and material performance, paving the way for tailored applications in different fields.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

Data Availability

No datasets were generated or analysed during the current study.

References

  1. Naumann RJ (2018) Introduction to the Physics and Chemistry of Materials CRC Press, ISBN 978–1–4200–6134–5

  2. Zhang L, Wang Y, Lv J, Ma Y (2017) Nat Rev Mater 2:17005. https://doi.org/10.1038/natrevmats.2017.5

    Article  ADS  CAS  Google Scholar 

  3. Okrusch M, Frimmel HE (2020) Mineralogy: an introduction to minerals, rocks, and mineral deposits, 1st edn. Springer Berlin, Heidelberg

  4. Kennedy G, Keeler R (1972) American Institute of Physics Handbook, 3rd edn. McGraw-Hill, New York, NY

  5. Mao H-K, Chen X-J, Ding Y, Li B, Wang L (2018) Rev Mod Phys. 90. https://doi.org/10.1103/RevModPhys.90.015007

  6. Al-Omari S, Shaaban SM, Rammah YS et al (2023) The influence of unit cell parameters, intertetrahedral bridging angle and chemical composition on the crystal γ-ray attenuation of α-quartz homeotypes. Silicon 15:7865–7873. https://doi.org/10.1007/s12633-023-02630-0

    Article  CAS  Google Scholar 

  7. Shaaban SM, Afaneh F, Elsad RA et al (2024) Exploring the influence of intra- and inter-tetrahedral distances and angles, as well as tetrahedral volume, on the radiation shielding efficiency of high-pressure α-quartz. Silicon 16:407–414. https://doi.org/10.1007/s12633-023-02687-x

    Article  CAS  Google Scholar 

  8. Al-Omari S, Afaneh F, Elsad RA, Rammah YS, Khattari ZY (2024) Indirect effect of elevated temperature on radiation shielding competence through modulations of crystals’ intrinsic tetrahedral parameters: A case study of berlinite, SiO2-type AlPO4. Radiat Phys Chem 215:111377

    Article  CAS  Google Scholar 

  9. Khattari ZY (2023) Simultaneous Fine-Tuning of Hirshfeld Topological Surfaces, Volumes, and their Voids to Optimize the Radiation Shielding Properties: A Case Study of Silicon Carbide (SiC). Silicon. https://doi.org/10.1007/s12633-023-02794-9

    Article  Google Scholar 

  10. Al-Omari S, Afaneh F, Elsad RA et al (2023) Optimizing [SiO2]/([P2O5] + [Al2O3]) Ratio on Elasto-Mechanic-Radiation Shielding Hallmarks of Li2O⋅MgO⋅Al2O3⋅SiO2⋅TiO2⋅ZrO2 Glasses. Silicon. https://doi.org/10.1007/s12633-023-02729-4

    Article  Google Scholar 

  11. Khattari ZY, Al-Ghamdi H, Alsaif NAM et al (2023) The Mechano-Radiation Protection Behaviors of SiO2⋅CaO⋅P2O5⋅Na2O Bioglasses Substituted with ZnO. Silicon 15:7301–7310. https://doi.org/10.1007/s12633-023-02583-4

    Article  CAS  Google Scholar 

  12. Dmitriev VP, Tolédano P, Torgashev VI, Salje EKH (1998) Theory of reconstructive phase transitions between SiO2 polymorphs Phys. Rev B 58:11911

    Article  CAS  Google Scholar 

  13. Merill L (1982) J Phys Chem Ref Data 11:1043

    Google Scholar 

  14. Liu LG, Bassett WA, Takahashi T (1974) J Geophys Res 79:1160

    Article  ADS  CAS  Google Scholar 

  15. Zoltai T, Buerger MJ (1959) Z Kristallogr 111:129

    Article  CAS  Google Scholar 

  16. Sosman RB (1965) The Phase of Silica. Rutgers University Press, New Brunswick

    Google Scholar 

  17. Liu LG (1982) High pressure research in geophysics. In: Akimoto S, Manghnani MH (eds). Center for Academic Publications Japan, Tokyo

  18. Bragg L, Claringbull GF (1965) Crystal Structures of Minerals. Bell and Sons, London

    Google Scholar 

  19. Funk C, Köhler J, Lazar I, Kajewski D, Roleder K, Nuss J, Bussmann-Holder A, Bamberger H, van Slageren J, Enseling D, Jüstel T, Schleid T (2018) CSD 1836363: Experimental Crystal Structure Determination. https://doi.org/10.25505/fiz.icsd.cc1zmwj0

  20. Chilton AB, Shultis JK, Faw R (1984) Principle of radiation shielding, 1st edn. Prentic-Halle, Englewood Cliffs, New Jersey

  21. Spackman MA, Byrom PG (1997) Chem Phys Lett 267:215–220

    Article  ADS  CAS  Google Scholar 

  22. McKinnon JJ, Mitchell AS, Spackman MA (1998) Chem Eur J 4:2136–2141

    Article  CAS  Google Scholar 

  23. Hart G, Forcade R (2009) Generating derivative structures from multilattices: Algorithm and application to hcp alloys. Phys Rev B, 80:014120. http://link.aps.org/doi/10.1103/PhysRevB.80.014120. Accessed 13 Dec 2023

  24. Anoop Krishnan NM, Pape YL, Sant G, Bauchy M (2021) Disorder-induced expansion of silicate minerals arises from the breakage of weak topological constraints. J Non-Cryst Solids 564:120846

    Article  Google Scholar 

  25. Hall SR, Allen FH, Brown ID (1991) The crystallographic information files (CIF): a new standard archive file for crystallography. Acta Cryst A47:655–685

    Article  CAS  Google Scholar 

  26. Jain A, Ong SP, Hautier G, Chen W, Richards WD, Dacek S, Cholia S, Gunter D, Skinner D, Ceder G, Persson KA (2013) The Materials Project: A materials genome approach to accelerating materials innovation. APL Mater 1(1):011002

    Article  ADS  Google Scholar 

  27. Spackman PR, Turner MJ, McKinnon JJ, Wolff SK, Grimwood DJ, Jayatilaka D, Spackman MA (2021) J Appl Cryst. 54(3):1006–1011. https://doi.org/10.1107/S1600576721002910, https://crystalexplorer.net/. Accessed 13 Dec 2023

  28. Hirshfeld FL (1977) Theor Chim Acta 44:129–138

    Article  CAS  Google Scholar 

  29. Spackman MA, Jayatilaka D (2009) CrystEngComm 11:19–32

    Article  CAS  Google Scholar 

  30. Spackman MA, McKinnon JJ (2002) CrystEngComm 4:378–392

    Article  CAS  Google Scholar 

Download references

Acknowledgements

Z. Khattari would like to thank the support from The Hashemite University.

Funding

Not applicable.

Author information

Authors and Affiliations

Authors

Contributions

Ziad Khattari: Conceptualization, review & editing, drawing and finalized the last version of the manuscript.

* The author read and approved the final manuscript.

Corresponding author

Correspondence to Z. Y. Khattari.

Ethics declarations

Ethics Approval

Not Applicable.

Consent to Participate

Not Applicable.

Consent for Publication

Not Applicable.

Competing Interests

The authors declare no competing interests.

Disclosure of Potential Conflicts of Interest

The authors have no relevant financial or non-financial interests to disclose.

Research Involving Human Participants and/or Animals

Not Applicable.

Informed Consent

Not Applicable.

Additional information

Publisher's Note

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

Supplementary Information

Below is the link to the electronic supplementary material.

Supplementary file1 (DOC 54 KB)

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

Khattari, Z.Y. Unveiling Hierarchies and Structural Complexity in Silicon-Based Crystals: Insights into their Structural, Elastic, and Radiation Properties through Hirshfeld Analysis. Silicon (2024). https://doi.org/10.1007/s12633-024-02945-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12633-024-02945-6

Keywords

Navigation