It is demonstrated that the unique structures of carbon nanotubes and single-crystals of C 60 fullerenes may have applications to X-ray, neutron and high-energy particle physics, based on channeling, Bragg diffraction and coherent radiation. These are reviewed, pointing out the peculiarities and advantages of nanocrystals compared to ordinary crystals. New applications are explored: X-rays and neutron channeling, undulator radiation in periodically bent nanotubes, "channeled" transition radiation. Quantum and classical channeling, channeling in bent nanocrystals, Bragg scattering of X-rays and neutrons, chan neling radiation, coherent bremsstrahlung, parametric X-ray and nanotube undulator radiation are particularly studied using both analytical and Monte-Carlo methods. Continuous potentials, electron densities, transverse energy levels, and spectra of various types of coherent radiation are calcu-lated. Large dechanneling lengths of positive particles, bending efficiencies, reflecting coefficients of soft X-rays and PXR yields are predicted. Principles of particle detectors using photo-and secondary electron emissions are discussed.

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