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


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.


Nanoparticles Van der Waals force Acoustic scattering 



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

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Supplementary material 1 (GIF 1224 kb)
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Supplementary material 2 (GIF 394 kb)


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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

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