Advertisement

The Van der Waals-force-induced phononic band gap and resonant scattering in two-nanosphere aggregate

  • Jiu Hui WuEmail author
  • Siwen Zhang
  • Kejiang Zhou
Research Paper

Abstract

A physical mechanism of phononic band gap and resonant nanoacoustic scattering in an aggregate of two elastic nanospheres is presented in this paper. By considering the Van der Waals (VdW) force between two nanospheres illuminated by nanoacoustic wave, phononic band gap and frequency shift at the lower frequency side, and largely enhanced nanoacoustic scattering at the other frequency range have been found through calculating the form function of the acoustic scattering from the nanosystem. This VdW-force-induced band gap is different from the known mechanisms of Bragg scattering and local resonances for periodic media. It is shown that when the separation distance between two nanospheres is decreasing from 20 to 1 nm, due to the increasing VdW force, the nanoacoustic scattering is much heightened by two order of magnitude, and meanwhile the frequency shift and phononic band gap at the low frequencies are both widened. These results could provide potential applications of nanoacoustic devices.

Keywords

Nanoparticles Van der Waals force Acoustic scattering 

Notes

Acknowledgments

The research work is supported by the National Natural Science Foundation of China under Grant Nos. 51075325 and 50835007, and the Fundamental Research funds of the Central Universities.

Supplementary material

11051_2012_1193_MOESM1_ESM.gif (1.2 mb)
Supplementary material 1 (GIF 1224 kb)
11051_2012_1193_MOESM2_ESM.gif (395 kb)
Supplementary material 2 (GIF 394 kb)

References

  1. Eichenfield M, Chan J, Camacho RM, Vahala KJ, Painter O (2009) Optomechanical crystals. Nature 462:78CrossRefGoogle Scholar
  2. Gabrielli P, Mercier-Finidori M (2001) Acoustic scattering by two spheres: multiple scattering and symmetry considerations. J Sound Vib 241:423–439CrossRefGoogle Scholar
  3. Hamaker HC (1937) The London-van der Waals attraction between spherical particles. Physica 4:1058–1072CrossRefGoogle Scholar
  4. Kushwaha MS, Halevi P, Dobrzynski L, Djafari-Rouhani B (1993) Acoustic band structure of periodic elastic composites. Phys Rev Lett 71:2022CrossRefGoogle Scholar
  5. Lin K-H, Lai C-M, Pan C-C (2007) Spatial manipulation of nanoacoustic waves with nanoscale spot sizes. Nat Nanotechnol 2:704–708CrossRefGoogle Scholar
  6. Liu Z, Zhang X, Mao Y, Zhu YY, Yang Z, Chan CT, Sheng P (2000) Locally resonant sonic materials. Science 289:1734CrossRefGoogle Scholar
  7. Liu Z, Chan CT, Sheng P (2002) Three-component elastic wave band-gap material. Phys Rev B 65:165116CrossRefGoogle Scholar
  8. Palik ED (1998) Handbook of optical constants of solids III. Academic Press, New York, pp 20–21Google Scholar
  9. Torres M, Montero de Espinosa FR, García-Pablos D, García N (1999) Sonic band gaps in finite elastic media: surface states and localization phenomena in linear and point defects. Phys Rev Lett 82:3054CrossRefGoogle Scholar
  10. Wang ZB, Luk’yanchuk B, Guo W (2008) The influences of particle number on hot spots in strongly coupled metal nanoparticles chain. J Chem Phys 128:094705CrossRefGoogle Scholar
  11. Wu JH, Liu AQ, Chen HL, Chen TN (2006) Multiple scattering of a spherical acoustic wave from fluid spheres. J Sound Vib 290:17–33CrossRefGoogle Scholar
  12. Yilmaz C, Hulbert GM, Kikuchi N (2007) Phononic band gaps induced by inertial amplification in periodic media. Phys Rev B 76:054309CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.School of Mechanical EngineeringXi’an Jiaotong UniversityXi’anChina
  2. 2.College of Information Science and EngineeringZhejiang UniversityHangzhouChina

Personalised recommendations