Carbon nanotubes may, indeed, behave as nanoscale beams or beam-like shells, with the 10 classes of their atomic lattices displaying the deformation response of elongated structures. Moreover, classification of carbon nanotubes describes the process of degeneration of cylindrical symmetry from the nanoscale shells to nanoscale rods through the polygonal structure of nanobeams and the circumferential buckling of carbon rings. Classification of carbon nanotubes answers not only when the well-known cylindrical shells behave as beams or shells, but also which atomic lattices represent the actual nanoscale beams with unique material properties. Criteria for the separation of different classes of carbon nanotubes are presented in the framework of the scaling analysis of their atomic structures. The discovery of the uniqueness of carbon nanotubes with very small radii, along with their distinct material properties, has provided an additional need for the understanding of a wide variety of atomic lattice structures associated with these nanostructures.Ĭlassification of carbon nanotubes identifies 20 classes of distinct atomic lattice structures with unique structural and material properties.
Classification of carbon nanotubes based on the scaling analysis of their atomic lattice structures provides the foundation for the nanoscale analysis of different types of lattice shells in the mechanics of carbon nanotubes. Relations between different geometric parameters describing the geometric and structural properties of carbon nanotubes, as well as the length scales of their atomic lattices, have been analyzed by using the scaling analysis and nondimensional parameters. Vasyl Harik, in Mechanics of Carbon Nanotubes, 2018 4.5 ConclusionsĪtomic structure of carbon nanotubes, their geometry, and the length scales characterizing the structure of atomic lattices have been examined in the context of their influence on material properties.
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