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Qualitative Evolution of Asymmetric Raman Line-Shape for NanoStructures

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Abstract

A qualitative evolution of an asymmetric Raman line-shape function from a Lorentzian line-shape is discussed here for application in low dimensional semiconductors. The step-by-step evolution reported here is based on the phonon confinement model which is successfully used in literature to explain the asymmetric Raman line-shape from semiconductor nanostructures. Physical significance of different terms in the theoretical asymmetric Raman line-shape has been explained here. Better understanding of theoretical reasoning behind each term allows one to use the theoretical Raman line-shape without going into the details of theory from first principle. This will enable one to empirically derive a theoretical Raman line-shape function for any material if information about its phonon dispersion relation, size dependence, etc., is known.

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References

  1. Raman C (1928) A new radiation. Indian J Phys 02:387

    CAS  Google Scholar 

  2. Raman CV, Krishnan KS (1928) A new type of secondary radiation. Nature 121:501–502. doi:10.1038/121501c0

    Article  CAS  Google Scholar 

  3. Barbagiovanni EG, Lockwood DJ, Simpson PJ, Goncharova LV (2012) Quantum confinement in Si and Ge nanostructures. J Appl Phys 111:034307. doi:10.1063/1.3680884

    Article  Google Scholar 

  4. Ferrari AC, Robertson J (2000) Interpretation of Raman spectra of disordered and amorphous carbon. Phys Rev B 61:14095–14107. doi:10.1103/PhysRevB.61.14095

    Article  CAS  Google Scholar 

  5. Ferrari AC, Robertson J (2001) Resonant Raman spectroscopy of disordered, amorphous, and diamondlike carbon. Phys Rev B 64:075414. doi:10.1103/PhysRevB.64.075414

    Article  Google Scholar 

  6. Hultman L, Robertsson A, Hentzell HTG et al (1987) Crystallization of amorphous silicon during thinfilm gold reaction. J Appl Phys 62:3647–3655. doi:10.1063/1.339244

    Article  CAS  Google Scholar 

  7. Vepek S, Iqbal Z, Sarott F-A (1982) A thermodynamic criterion of the crystalline-to-amorphous transition in silicon. Philos Mag Part B 45:137–145. doi:10.1080/13642818208246392

    Article  Google Scholar 

  8. Shuker R, Gammon RWRaman-scattering selection-rule breaking and the density of states in amorphous materials. Phys Rev Lett 25:222. doi:10.1103/PhysRevLett.25.222

  9. Sahu G, Joseph B, Lenka HP, Kuiri PK, Pradhan A, Mahapatra DP (2007) MeV Au irradiation induced nanoparticle formation and recrystallization in a low energy Au implanted Si layer. Nanotechnology 18:495702. doi:10.1088/0957-4484/18/49/495702

    Article  CAS  Google Scholar 

  10. Sahu G, Mahapatra DP (2011) Raman scattering study of Si nanoclusters formed in Si through a double Au implantation. MRS Proceedings Spring Meeting 1354. doi:10.1557/opl.2011.1212

  11. Sahu G, Kumar R, Mahapatra DP (2013) Raman Scattering and Backscattering Studies of Silicon Nanocrystals Formed Using Sequential Ion Implantation. Silicon 6:65. doi:10.1007/s12633-013-9157-z

  12. Sahu G (2013) Raman scattering study on sequentially Au implanted sample. AIP Conf Proc 1536:293. doi:10.1063/1.4810216

    Article  CAS  Google Scholar 

  13. Smith JE, Brodsky MH, Crowder BL et al (1971) Raman spectra of amorphous Si and related tetrahedrally bonded semiconductors. Phys Rev Lett 26:642–646. doi:10.1103/PhysRevLett.26.642

    Article  CAS  Google Scholar 

  14. Temple PA, Hathaway CE (1973) Multiphonon Raman spectrum of silicon. Phys Rev B 7:3685–3697. doi:10.1103/PhysRevB.7.3685

    Article  CAS  Google Scholar 

  15. Kumar R, Mavi HS, Shukla AK (2010) Spectroscopic investigation of quantum confinement effects in ion implanted silicon-on-sapphire films. Silicon 2:25–31. doi:10.1007/s12633-009-9033-z

    Article  CAS  Google Scholar 

  16. Choi WK, Ng V, Ng SP et al (1999) Raman characterization of germanium nanocrystals in amorphous silicon oxide films synthesized by rapid thermal annealing. J Appl Phys 86:1398. doi:10.1063/1.370901

    Article  CAS  Google Scholar 

  17. Serincan U, Kartopu G, Guennes A et al (2004) Characterization of Ge nanocrystals embedded in SiO2 by Raman spectroscopy. Semicond Sci Technol 19:247. doi:10.1088/0268-1242/19/2/021

    Article  CAS  Google Scholar 

  18. Li B, Yu D, Zhang S-L (1999) Raman spectral study of silicon nanowires. Phys Rev B 59:1645–1648. doi:10.1103/PhysRevB.59.1645

    Article  CAS  Google Scholar 

  19. Wang R, Zhou G, Liu Y et al (2000) Raman spectral study of silicon nanowires: high-order scattering and phonon confinement effects. Phys Rev B 61:16827–16832. doi:10.1103/PhysRevB.61.16827

    Article  CAS  Google Scholar 

  20. Piscanec S, Cantoro M, Ferrari AC et al (2003) Raman spectroscopy of silicon nanowires. Phys Rev B 68:241312. doi:10.1103/PhysRevB.68.241312

    Article  Google Scholar 

  21. Richter H, Wang ZP, Ley L (1981) The one phonon Raman spectrum in microcrystalline silicon. Solid State Commun 39:625–629. doi:10.1016/0038-1098(81)90337-9

    Article  CAS  Google Scholar 

  22. Campbell IH, Fauchet PM (1986) The effects of microcrystal size and shape on the one phonon Raman spectra of crystalline semiconductors. Solid State Commun 58:739–741. doi:10.1016/0038-1098(86)90513-2

    Article  CAS  Google Scholar 

  23. Gouadec G, Colomban P (2007) Raman spectroscopy of nanomaterials: how spectra relate to disorder, particle size and mechanical properties. Prog Cryst Growth Ch 53:1–56. doi:10.1016/j.pcrysgrow.2007.01.001

    Article  CAS  Google Scholar 

  24. Tubino R, Piseri L, Zerbi G (1972) Lattice dynamics and spectroscopic properties by a valence force potential of diamondlike crystals: C, Si, Ge, and Sn. J Chem Phys 56:1022–1039. doi:10.1063/1.1677264

    Article  CAS  Google Scholar 

  25. Bergman L, Nemanich RJ (1996) Raman spectroscopy for characterization of hard, wide-bandgap semiconductors: diamond, GaN, GaAlN, AlN, BN. Annu Rev Mater Sci 26:551–579. doi:10.1146/annurev.ms.26.080196.003003

    Article  CAS  Google Scholar 

  26. Mavi HS, Islam SS, Kumar R, Shukla AK (2006) Spectroscopic investigation of porous GaAs prepared by laser-induced etching. J Non-Cryst Solids 352:2236–2242. doi:10.1016/j.jnoncrysol.2006.02.046

    Article  CAS  Google Scholar 

  27. Mavi HS, Prusty S, Kumar M et al (2006) Formation of Si and Ge quantum structures by laser-induced etching. Phys Status Solidi A-Appl Mat 203:2444–2450. doi:10.1002/pssa.200521027

    Article  CAS  Google Scholar 

  28. Pivac B, Furi K, Desnica D et al (1999) Raman line profile in polycrystalline silicon. J Appl Phys 86:4383. doi:10.1063/1.371374

    Article  CAS  Google Scholar 

  29. Prusty S, Mavi HS, Shukla AK (2005) Optical nonlinearity in silicon nanoparticles: effect of size and probing intensity. Phys Rev B 71:113313. doi:10.1103/PhysRevB.71.113313

    Article  Google Scholar 

  30. Konstantinovic MJ, Bersier S, Wang X et al (2002) Raman scattering in cluster-deposited nanogranular silicon films. Phys Rev B 66:161311. doi:10.1103/PhysRevB.66.161311

    Article  Google Scholar 

  31. Piscanec S, Ferrari AC, Cantoro M et al (2003) Raman spectrum of silicon nanowires. Mater Sci Eng C 23:931–934. doi:10.1016/j.msec.2003.09.084

    Article  Google Scholar 

  32. Brockhouse BN (1959) Lattice vibrations in silicon and germanium. Phys Rev Lett 2:256–258. doi:10.1103/PhysRevLett.2.256

    Article  CAS  Google Scholar 

  33. Kumar R, Mavi HS, Shukla AK, Vankar VD (2007) Photoexcited Fano interaction in laser-etched silicon nanostructures. J Appl Phys 101:064315. doi:10.1063/1.2713367

    Article  Google Scholar 

  34. Kumar R, Shukla AK (2009) Quantum interference in the Raman scattering from the silicon nanostructures. Phys Lett A 373:2882–2886. doi:10.1016/j.physleta.2009.06.005

    Article  CAS  Google Scholar 

  35. Shukla AK, Kumar R, Kumar V (2010) Electronic Raman scattering in the laser-etched silicon nanostructures. J Appl Phys 107:014306. doi:10.1063/1.3271586

    Article  Google Scholar 

  36. Kumar R, Shukla AK, Mavi HS, Vankar VD (2008) Size-dependent Fano interaction in the laser-etched silicon nanostructures. Nanoscale Res Lett 3:105–108. doi:10.1007/s11671-008-9120-x

    Article  CAS  Google Scholar 

  37. Adu KW, Xiong Q, Gutierrez HR, Chen G, Eklund PC (2006) Raman scattering as a probe of phonon confinement and surface optical modes in semiconducting nanowires. Appl Phys. A 85:287–297. doi:10.1007/s00339-006-3716-8

    Article  CAS  Google Scholar 

  38. Adu KW, Gutierrez HR, Kim UJ, Sumanasekera GU, Eklund PC (2005) Confined phonons in Si nanowires. Nanoletters 5:409–414. doi:10.1021/nl048625

    Article  CAS  Google Scholar 

  39. Adu KW, Gutirrez HR, Kim UJ, Eklund PC (2006) Inhomogeneous laser heating and phonon confinement in silicon nanowires: a micro-Raman scattering study. Phys Rev B 73:155333. doi:10.1103/PhysRevB.73.155333

    Article  Google Scholar 

  40. Gupta R, Xiong Q, Adu CK et al (2003) Laser-induced Fano resonance scattering in silicon nanowires. Nano Lett 3:627–631. doi:10.1021/nl0341133

    Article  CAS  Google Scholar 

  41. Kumar R, Shukla AK (2008) Temperature dependent phonon confinement in silicon nanostructures. Phys Lett 373:133–135. doi:10.1016/j.physleta.2008.10.090

    Article  CAS  Google Scholar 

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Authors and Affiliations

  1. Discipline of Physics, School of Basic Sciences, Indian Institute of Technology Indore, Indore, Madhya Pradesh-452017, India

    Rajesh Kumar, Gayatri Sahu, Shailendra K. Saxena, Hari M. Rai & Pankaj R. Sagdeo

  2. Disciplne of Surface Science and Engineering, Indian Institute of Technology Indore, Indore, Madhya Pradesh-452017, India

    Rajesh Kumar & Pankaj R. Sagdeo

  3. Discipline of Bioscience and Bioengineering, Indian Institute of Technology Indore, Indore, Madhya Pradesh-452017, India

    Rajesh Kumar

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  1. Rajesh Kumar
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  2. Gayatri Sahu
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  3. Shailendra K. Saxena
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  5. Pankaj R. Sagdeo
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Correspondence to Rajesh Kumar.

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Kumar, R., Sahu, G., Saxena, S.K. et al. Qualitative Evolution of Asymmetric Raman Line-Shape for NanoStructures. Silicon 6, 117–121 (2014). https://doi.org/10.1007/s12633-013-9176-9

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