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Determination of the vibrational frequencies of the decorated triangular and centered triangular lattices

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Abstract

In this work, the classical lattice dynamics of the two-dimensional decorated triangular and centered triangular lattices is studied in the harmonic approximation. Dynamical matrices and dispersion relations for these lattices are obtained. The numerical results for the vibrational mode frequencies are presented.

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References

  1. M. Born, T. von Karman, Phys. Z. 13, 297 (1912)

    Google Scholar 

  2. M. Born, K. Huang, Dynamical Theory of Crystal Lattices (Oxford University Press, London, 1954)

    Google Scholar 

  3. Akio Yoshimori, Yoshiharu Kitano, J. Phys. Soc. Jpn. 11, 352–361 (1956)

    Google Scholar 

  4. R. Al-Jishi, G. Dresselhaus, Phys. Rev. B, 26 (1982)

  5. S. Yanagawa, Prog. Theor. Phys. 10, 83 (1953)

    Google Scholar 

  6. P. Dean, Math. Proc. Camb. Philos. Soc. 59, 383 (1963)

    Google Scholar 

  7. Liqin Li, Xiangbo Yang, Mod. Phys. Lett. B 22, 25 (2008)

    Google Scholar 

  8. C. Kittel, Introduction to Solid State Physics, 6th edn. (Wiley, New York, 1968)

    Google Scholar 

  9. J.M. Ziman, Principles of the Theory of Solids (Cambridge University Press, Cambridge, 1972)

    Google Scholar 

  10. N.W. Ashcroft, N.D. Mermin, Solid State Physics (PA Saunders, Philadelphia, 1976)

    Google Scholar 

  11. W.A. Harrison, Solid State Theory (Dover Publications, New York, 1979)

    Google Scholar 

  12. W. Jones, N.H. March, Theoretical Solid State Physics,” Perfect Lattice in Equilibrium, vol. 1 (Dover, New York, 1973)

    Google Scholar 

  13. H.J. Goldsmid, Problems in Solid State Physics (Academic Press, New York, 1968)

    Google Scholar 

  14. M.T. Dove, Introduction to Lattice Dynamics (Cambridge University Press, Cambridge, 1993)

    Google Scholar 

  15. J. Cserti, G. Tichy, Eur. J. Phys. 25, 723736 (2004)

    Google Scholar 

  16. S.H. Nasrollahi, D.D. Vvedensky, J. Appl. Phys. 124, 045102 (2018)

    Google Scholar 

  17. V.A. Tsaplin, V.A. Kuzkin, Lett. Mater. 8(1), 16–20 (2018)

    Google Scholar 

  18. M.Q. Owaidat, Int. J. Mod. Phys. B 33, 1950058-11 (2019)

    Google Scholar 

Download references

Acknowledgements

I am indebted to the anomalous reviewers for insightful comments and suggestions.

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Authors and Affiliations

  1. Department of Physics, Al-Hussein Bin Talal University, P.O. Box 20, Ma’an, 71111, Jordan

    M. Q. Owaidat

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  1. M. Q. Owaidat
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Correspondence to M. Q. Owaidat.

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Owaidat, M.Q. Determination of the vibrational frequencies of the decorated triangular and centered triangular lattices. Eur. Phys. J. Plus 135, 199 (2020). https://doi.org/10.1140/epjp/s13360-020-00239-5

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  • DOI: https://doi.org/10.1140/epjp/s13360-020-00239-5

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