By Klaus D. Sattler
In depth study on fullerenes, nanoparticles, and quantum dots within the Nineties ended in curiosity in nanotubes and nanowires in next years. guide of Nanophysics: Nanotubes and Nanowires makes a speciality of the elemental physics and newest functions of those very important nanoscale fabrics and buildings. every one peer-reviewed bankruptcy includes a broad-based creation and complements knowing of the cutting-edge clinical content material via basic equations and illustrations, a few in colour. This quantity first covers key features of carbon nanotubes, together with quantum and electron shipping, isotope engineering, and fluid circulation, ahead of exploring inorganic nanotubes, corresponding to spinel oxide nanotubes, magnetic nanotubes, and self-assembled peptide nanostructures. It then makes a speciality of germanium, gallium nitride, gold, polymer, and natural nanowires and their houses. The ebook additionally discusses nanowire arrays, nanorods, atomic wires, monatomic chains, ultrathin gold nanowires, and a number of other nanorings, together with superconducting, ferromagnetic, and quantum dot nanorings. Nanophysics brings jointly a number of disciplines to figure out the structural, digital, optical, and thermal habit of nanomaterials; electric and thermal conductivity; the forces among nanoscale gadgets; and the transition among classical and quantum habit. Facilitating communique throughout many disciplines, this landmark book encourages scientists with disparate pursuits to collaborate on interdisciplinary tasks and comprise the speculation and technique of different components into their paintings.
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The bonding and antibonding bands touch at six K points at the corners of the first Brillouin zone. There are two triplets of Fermi points, K and K′, that are inequivalent under translations of the reciprocal lattice. On the other hand, the hexagonal lattice symmetry provides an equivalence under 60° rotations. Because of this symmetry, the K and K′ points are energetically degenerate and lead to the peculiar touching of the conduction and the valence band. ) Band structure of graphene. The figure shows the various energy bands in the Brillouin zone.
