By H.-S. Philip Wong, Deji Akinwande
Explaining the houses and function of useful nanotube units and similar purposes, this is often the 1st introductory textbook at the topic. the entire basic techniques are brought, in order that readers with no a complicated medical historical past can persist with the entire significant principles and effects. extra themes lined comprise nanotube transistors and interconnects, and the fundamental physics of graphene. challenge units on the finish of each bankruptcy enable readers to check their wisdom of the fabric lined and achieve a better realizing of the analytical ability units constructed within the textual content. this is often a great textbook for senior undergraduate and graduate scholars taking classes in semiconductor gadget physics and nanoelectronics. it's also an ideal self-study advisor for pro gadget engineers and researchers.
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Extra resources for Carbon Nanotube and Graphene Device Physics
10 a1 Hexagonal Bravais lattice with several choices for pairs of primitive vectors. 8 The Bravais lattice 37 Q a1 –2a2 a1 a2 yˆ xˆ Fig. 11 An example using primitive vectors to determine the location of point Q in the lattice. Primitive unit cell The most basic unit cell of the Bravais lattice is called the primitive unit cell. The primitive unit cell has two distinguishing properties: (1) it is a region of space that contains exactly one Bravais lattice point; (2) it recreates the lattice when translated through all the Bravais lattice vectors without leaving gaps or generating overlaps.
Nagper, Morphology and topochemical reactions of novel vanadium oxide nanotubes, J. Am. Chem. , 121 (1999) 8324–31; and J. Huang, W. K. Chim, S. Wang, S. Y. Chian and L. M. Wang, From germanium nanowires to germanium–silicon oxide nanotubes: inﬂuence of germanium tetraiodide precursor. , 9 (2009) 553–9. 31 M. V. Kamalakar and A. K. Raychaudhuri, A novel method of synthesis of dense arrays of aligned single crystalline copper nanotubes using electrodeposition in the presence of a rotating electric ﬁeld.
An example: the hexagonal lattice Let us consider the 2D hexagonal lattice to demonstrate the construction of the reciprocal lattice and the ﬁrst Brillouin zone. 13a. A pair of symmetrical direct lattice primitive vectors from Eq. 30) are a1 = √ 3a a , , 2 2 a2 = √ 3a a ,− . 2 2 The reciprocal lattice primitive vectors can be computed from Eq. 33): b1 = 2π 2π √ , 3a a , b2 = 2π 2π √ ,− a 3a . 13b. The Wigner–Seitz cell and the ﬁrst Brillouin zone are hexagons, displaying the hexagonal symmetry of the lattices.