By H.-S. Philip Wong, Deji Akinwande
Explaining the houses and function of functional nanotube units and similar purposes, this can be the 1st introductory textbook at the topic. all of the basic strategies are brought, in order that readers with out a sophisticated medical history can stick to all of the significant rules and effects. extra themes coated comprise nanotube transistors and interconnects, and the fundamental physics of graphene. challenge units on the finish of each bankruptcy let readers to check their wisdom of the fabric coated and achieve a better figuring out of the analytical ability units constructed within the textual content. this can be an incredible 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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Additional resources for Carbon Nanotube and Graphene Device Physics
10 illustrates four choices of primitive vectors (a1 and a2 ) for the hexagonal lattice, evidently conveying that the pairs of primitive vectors are not unique. In practice, a symmetrical or geometrically convenient pair of primitive vectors is often chosen for simplicity. 11. After ﬁrst verifying it is a Bravais lattice, we then deﬁne a reference point which will serve as the origin for the Cartesian coordinate system and, for convenience, also the origin for the primitive unit vectors (the light gray lattice point in the ﬁgure).
These devices can include, for example, sensors, diodes, transistors, transmission lines, antennas, and electron emission devices. In addition, the devices made out of carbon nanomaterials are being considered as building blocks for future applications broadly referred to as nanoelectronics, which includes circuits and systems. The technology to make nanomaterials and related devices is called nanotechnology. To accomplish our central purpose, it is essential that we are familiar with the mathematical techniques and physical ideas behind the theory of electrons, particularly in solids.
To determine u(x) we consider one unit cell and examine the space between the potentials when U (x) = 0, whence Schrödinger’s equation reduces to d 2ψ + γ 2 ψ = 0, dx2 γ2 = 2mE 2 . 16) 7 R. de L. Kronig and W. G. Penney, Quantum mechanics of electrons in crystal lattices. Proc. R. Soc. (London) A, 130 (1931) 499–513. 5 Electron in a periodic solid 27 U Fig. 4 Cδ –a Cδ 0 x Cδ ≈ –L/2 Cδ ≈ Cδ a L/2 Kronig–Penney periodic potential in a solid of length L. C is the strength of the delta function. Inside the solid, the electron wavefunction must satisfy Schrödinger’s equation with a periodic potential U (x) = U (x + a), and the length of the solid is an integral multiple of the unit cell.
Carbon Nanotube and Graphene Device Physics by H.-S. Philip Wong, Deji Akinwande