Skip to main content
SpringerLink
Log in

Piezoelectricity in quasicrystals: A group-theoretical study

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

Group-theoretical methods have been accepted as exact and reliable tools in studying the physical properties of crystals and quasicrystalline materials. By group representation theory, the maximum number of non-vanishing and independent second-order piezoelectric coefficients required by the seven pentagonal and two icosahedral point groups — that describe the quasicrystal symmetry groups in two and three dimensions — is determined. The schemes of non-vanishing and independent second-order piezoelectric tensor components needed by the nine point groups with five-fold rotations are identified and tabulated employing a compact notation. The results of this group-theoretical study are briefly discussed.

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

Similar content being viewed by others

References

  1. B Dubost, J M Long, M Tanaka, P Sainfort and M Audia, Nature (London) 324, 48 (1986)

    Article  ADS  Google Scholar 

  2. A P Tsai, A Inove and T Masumoto, Mat. Trans. JIM 31, 98 (1990)

    Google Scholar 

  3. A P Tsai, Y Yokoyama, A Inove and T Masumoto, Proc. Int. Symp. Physics and Chemistry of Finite Systems edited by P Jena, S N Khanna and B K Rao (Kluwer, Dordrecht, 1992) p. 177

    Google Scholar 

  4. A P Tsai, A Inove and T Masumoto, Jpn. J. Appl. Phys. 26, L1505 (1987)

    Article  ADS  Google Scholar 

  5. Z Wang, R A Dunlop and D W Lawther, J. Phys. Condens Matter 5, 663 (1993)

    Article  ADS  Google Scholar 

  6. P Bak, Phys. Rev. B32, 5764 (1985)

    ADS  MathSciNet  Google Scholar 

  7. D Levine, T C Lubensky, S Ostlund, S Ramaswamy and P J Stein Handt, Phys. Rev. Lett. 54, 405 (1985)

    Article  Google Scholar 

  8. A Sen Gupta, S Bhattacharya, D Gosh and B M Wanklyn, Ind. J. Phys. 62, 900 (1988)

    Google Scholar 

  9. Takeo Fujiwara, J. Non-Cryst. Solids 156, 865 (1993)

    Article  Google Scholar 

  10. J Brandmuller and R Clauss, Ind. J. Pure and Appl. Phys. 26, 60 (1988)

    Google Scholar 

  11. J Bradmuller J and R Clauss, Croat. Chem. Acta 61, 267 (1988)

    Google Scholar 

  12. Jiang Yi-Jian, Liao Li-Ji, Chen Gang and Zhang Peng-Xiang, Acta Crystallogr. A46, 772 (1190)

    Google Scholar 

  13. K Rama Mohan Rao and P Hemagiri Rao, J. Phys. Condens. Matter 4, 5997 (1992)

    Article  ADS  Google Scholar 

  14. K Rama Mohan Rao and P Hemagiri Rao, J. Phys. Condens. Matter 5, 5513 (1993)

    Article  ADS  Google Scholar 

  15. K Rama Mohan Rao and P Hemagiri Rao, Pramana — J. Phys. 42, 167 (1994)

    ADS  Google Scholar 

  16. Wenge Yang, Di-hua Ding, Renhui Wang and Cheng Zheng Hu, Z. Phys. B100, 447 (1996)

    Article  Google Scholar 

  17. Xiang Zhou, Cheng-Zheng Hu, Ping Gong and Sheng-De Oiu, J. Phys. Condens. Matter 16, 5419 (2004)

    Article  ADS  Google Scholar 

  18. J F Nye, Physical properties of crystals (Clarendon, Oxford, 1985) p. 116

    Google Scholar 

  19. S Bhagavantam and T Venkatarayudu, Theory of groups and its application to physical problems (Waltair, Andhra University Press, 1951)

    MATH  Google Scholar 

  20. K Vedam and R Sreenivasan, Acta Crystallogr. 22, 630 (1967)

    Article  Google Scholar 

  21. J M Dubois, S S Kang and J Von Stabnt, J. Mater. Sci. Lett. 10, 537 (1991)

    Article  Google Scholar 

  22. Cheng Zheng Hu, Renhui Wang and Di-Hua Ding, Rep. Prog. Phys. 63, 1 (2000)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Andhra University, Visakapatnam, 530 003, India

    K Rama Mohana Rao

  2. Department of Computer Applications, Vasavi College of Engineering, Hyderabad, 500 031, India

    P Hemagiri Rao

  3. Department of Mathematics, DNR College (P.G. Courses), Bhimavaram, 534 202, India

    B S K Chaitanya

Authors
  1. K Rama Mohana Rao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P Hemagiri Rao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. B S K Chaitanya
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rama Mohana Rao, K., Hemagiri Rao, P. & Chaitanya, B.S.K. Piezoelectricity in quasicrystals: A group-theoretical study. Pramana - J Phys 68, 481–487 (2007). https://doi.org/10.1007/s12043-007-0051-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12043-007-0051-3

Keywords

PACS Nos

Search

Navigation