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  • © 2017

Rainbows in Channeling of Charged Particles in Crystals and Nanotubes

  • Authors are experts in the field, having discovered the phenomena and formulated the theory of crystal rainbows;
  • Describes both analytical and numerical approaches to ion channeling;
  • Covers the latest advances, including rainbow effects in crystals and nanotubes, crystal rainbows as catastrophes, and ion beam bending with nanotubes.
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Nanoscale Science and Technology (LNNST, volume 25)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-x
  2. Rainbows

    • Nebojša Nešković, Srdjan Petrović, Marko Ćosić
    Pages 1-14
  3. Ion Channeling

    • Nebojša Nešković, Srdjan Petrović, Marko Ćosić
    Pages 15-23
  4. Crystal Rainbows

    • Nebojša Nešković, Srdjan Petrović, Marko Ćosić
    Pages 25-72
  5. Rainbows in Proton Channeling in Silicon Crystals

    • Nebojša Nešković, Srdjan Petrović, Marko Ćosić
    Pages 73-118
  6. Rainbows with Protons and Carbon Nanotubes

    • Nebojša Nešković, Srdjan Petrović, Marko Ćosić
    Pages 119-152
  7. Rainbows with Positrons and Carbon Nanotubes

    • Nebojša Nešković, Srdjan Petrović, Marko Ćosić
    Pages 153-178
  8. Back Matter

    Pages 179-194

About this book

This book discusses the effects, modeling, latest results, and nanotechnology applications of rainbows that appear during channeling of charged particles in crystals and nanotubes. The authors begin with a brief review of the optical and particle rainbow effects followed by a detailed description of crystal rainbows, which appear in ion channeling in crystals, and their modeling using catastrophe theory. The effects of spatial and angular focusing of channeled ions are described, with special attention given to the applications of the former effect to subatomic microscopy. The results of a thorough study of the recent high-resolution channeling experiments performed with protons of energies between 2.0 and 0.7 MeV and a 55 nm thick silicon crystal are also provided. This study opens up the potential for accurate analysis of very thin crystals. Also presented are recent results related to rainbows occurring in proton transmission through carbon nanotubes, and a detailed quantum consideration of the transmission of positrons of an energy of 1 MeV through very short carbon nanotubes. This process is determined by the rainbow effect. The initial positron beam is represented as an ensemble of non-interacting Gaussian wave packets, and the principal and supernumerary primary rainbows appearing in the spatial and angular distributions of transmitted positrons are clearly identified. They are explained by the effects of wrinkling, concentration and coordination of the wave packets.

Authors and Affiliations

  • Laboratory of Physics, Vinča Institute of Nuclear Sciences, University of Belgrade, Belgrade, Serbia

    Nebojša Nešković, Srdjan Petrović, Marko Ćosić

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access