Indian Journal of Physics

, Volume 87, Issue 1, pp 49–52

Asymmetry to symmetry transition of Fano line-shape: analytical description

Original paper


An analytical description of Fano line-shape asymmetry ratio has been presented here for a general case. It is shown that Fano line-shape becomes less asymmetric as |q| is increased and finally becomes completely symmetric in the limiting condition of q equal to infinity. Asymmetry ratios of Fano line-shapes have been calculated and are found to be in good consonance with the reported expressions for asymmetry ratio as a function of Fano parameter. Application of this derivation is also mentioned for explanation of asymmetry to symmetry transition of Fano line-shape in quantum confined silicon nanostructures.


Electron–phonon interaction Raman lineshape Fano line-shape 


78.67.−n 63.22.−m 78.30.−j 


  1. [1]
    U Fano Phys. Rev. 124 1866 (1961)ADSMATHCrossRefGoogle Scholar
  2. [2]
    R P Madden and K Codling Phys. Rev. Lett. 10 516 (1963)ADSCrossRefGoogle Scholar
  3. [3]
    F Cerdeira and M Cardona Phys. Rev. B 5 1440 (1972)ADSCrossRefGoogle Scholar
  4. [4]
    M Balkanski, K P Jain, R Beserman and M Jouanne Phys. Rev. B 12 4328 (1975)ADSCrossRefGoogle Scholar
  5. [5]
    S Bar-Ad, P Kner, M V Marquezini, S Mukamel and D S Chemla Phys. Rev. Lett. 78 1363 (1997)ADSCrossRefGoogle Scholar
  6. [6]
    M Kroner, A O Govorov, S Remi et al Nature 451 311 (2008)ADSCrossRefGoogle Scholar
  7. [7]
    C Benjamin and A M Jayannavar Indian J. Phys. A 77 565 (2003)Google Scholar
  8. [8]
    W Zhang, A O Govorov and G W Bryant Phys. Rev. Lett. 97 146804 (2006)ADSCrossRefGoogle Scholar
  9. [9]
    B Parida, J Sahoo, N Shadangi and P Nayak Indian J. Phys. 84 1333 (2010)ADSCrossRefGoogle Scholar
  10. [10]
    D S Kelkar and A B Chourasia Indian J. Phys. 86 101 (2012)ADSCrossRefGoogle Scholar
  11. [11]
    M Chandrasekhar, J B Renucci and M Cardona Phys. Rev. B 17 1623 (1978)ADSCrossRefGoogle Scholar
  12. [12]
    R Kumar, H S Mavi, A K Shukla and V D Vankar J. Appl. Phys. 101 064315 (2007)ADSCrossRefGoogle Scholar
  13. [13]
    R Gupta, Q Xiong, C K Adu, U J Kim and P C Eklund Nano Lett. 3 627 (2003)ADSCrossRefGoogle Scholar
  14. [14]
    V Magidson and R Beserman Phys. Rev. B 66 195206 (2002)ADSCrossRefGoogle Scholar
  15. [15]
    Y Y Wang, Z H Ni, T Yu et al J. Phys. Chem. C 112 10637 (2008)CrossRefGoogle Scholar
  16. [16]
    N H Nickel, P Lengsfeld and I Sieber Phys. Rev. B 61 15558 (2000)ADSCrossRefGoogle Scholar
  17. [17]
    N Nakano, L Marville and R Reif J. Appl. Phys. 72 3641 (1992)ADSCrossRefGoogle Scholar
  18. [18]
    H S Mavi, A K Shukla, R Kumar, S Rath, B Joshi and S S Islam Semicond. Sci. Technol. 21 1627 (2006)ADSCrossRefGoogle Scholar
  19. [19]
    R Kumar, H S Mavi and A K Shukla Silicon 2 25 (2010)CrossRefGoogle Scholar
  20. [20]
    H S Mavi, S Prusty, M Kumar, R Kumar, A K Shukla and S Rath Phys. Status Solidi A-Appl. Mat. 203 2444 (2006)ADSCrossRefGoogle Scholar
  21. [21]
    H Schmidt, K L Campman, A C Gossard and A Imamoglu Appl. Phys. Lett. 70 3455 (1997)ADSCrossRefGoogle Scholar
  22. [22]
    F Cerdeira, T A Fjeldly and M Cardona Phys. Rev. B 8 4734 (1973)ADSCrossRefGoogle Scholar
  23. [23]
    J Faist, F Capasso, C Sirtori, K W West and L N Pfeiffer Nature 390 589 (1997)ADSCrossRefGoogle Scholar
  24. [24]
    J Wagner and M Cardona Phys. Rev. B 32 8071 (1985)ADSCrossRefGoogle Scholar
  25. [25]
    R Kumar and A K Shukla Phys. Lett. A 373 2882 (2009)ADSCrossRefGoogle Scholar
  26. [26]
    C V Raman and K S Krishnan Nature 121 501 (1928)ADSCrossRefGoogle Scholar
  27. [27]
    C V Raman Indian J. Phys. 2 387 (1928)Google Scholar
  28. [28]
    J Humlicek Thin Solid Films 313-314 656 (1998)ADSCrossRefGoogle Scholar
  29. [29]
    M Jouanne, R Beserman, I Ipatova and A Subashiev Solid State Commun. 16 1047 (1975)ADSCrossRefGoogle Scholar
  30. [30]
    F Cerdeira, T A Fjeldly and M Cardona Phys. Rev. B 9 4344 (1974)ADSCrossRefGoogle Scholar
  31. [31]
    K P Jain, A K Shukla, S C Abbi and M Balkanski Phys. Rev. B 32 5464 (1985)ADSCrossRefGoogle Scholar
  32. [32]
    F Cerdeira, T A Fjeldly and M Cardona Solid State Commun. 13 325 (1973)ADSCrossRefGoogle Scholar

Copyright information

© Indian Association for the Cultivation of Science 2012

Authors and Affiliations

  1. 1.Discipline of Physics, School of Basic SciencesIndian Institute of Technology IndoreIndoreIndia

Personalised recommendations