Carbon Nanotubes: Basic Concepts and Physical Properties by Stephanie Reich, Christian Thomsen, Janina Maultzsch

By Stephanie Reich, Christian Thomsen, Janina Maultzsch

Probably, yet i am not yes this can be it. It comes VERY shut even though. My grievance (which prevents me from paying for my very own reproduction) is that a long way too many very important options are pointed out in passing with the reader despatched to the literature for the main points. For $130, a piece extra completeness will be great. I detect "serious" staff within the box will name me lazy for in need of a $130 booklet to be as self-contained as attainable. So be it...

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Carbon Nanotubes: Basic Concepts and Physical Properties

Might be, yet i am not yes this is often it. It comes VERY shut notwithstanding. My criticism (which prevents me from deciding to buy my very own replica) is that some distance too many vital options are pointed out in passing with the reader despatched to the literature for the main points. For $130, a piece extra completeness will be great. I observe "serious" staff within the box will name me lazy for in need of a $130 e-book to be as self-contained as attainable.

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We solve SchrSdingcr's cquation ' H is the Hamiltonian, E ( k ) are the eigenvalues at wave vector k , and Y ( k ) are the eigenfunctions, The eigenfunctions can be written as a linear combination of Bloch functions @ , ( k ) Y ( k )= x C,@, ( k ) . 2) I - 'Thc x indicates that the overlap is perpendicular to thc dircction of thc atomic orbitals. Whilc thc in-planc p, and p, ovcrlap along thc dircction of thc orbitals, is callcd a a bond. 34 3 Electmnic Properties of'Carbon Nanotubes In thc light-binding approximation the Bloch functions @, are written as linear combinations of the atomic wave functions.

The experimentally obtained energy grips roughly followed a l l d dependence as expected from the Mintmire and White approxiination. 7 eV, in good agreement with the expected values. 10 (c) shows a tunneling spectroscopy experiment at larger bias between the tip and the sample. 7 eV a series of van-Hove singularities is seen, in particular, liw the valence states. Although the singularities are broader and less well pronounced than expected from tightbinding calculations (see inset in the upper right corner), the gcneral dependence agrees very well.

1) and rn is an integer. For the particular tube in Fig. 6 the K point is not allowed and the tube is a semiconductor. 6: (a) Allowed k lines of a nanotuhe in the Brillouin zone of graphene, sec also Pig. 5. (h) Expanded view of the allowed wave vectors k around the K point of graphene. kI is one allowed wave vector around the circumference of the tube; k, is continuous. Thc open dots arc the points with k, 0; they all corrcspond to the point of thc tuhe. 14]. - 3 Electronic Propertirs of Carbon Nanotubes C) ab initio 3 2 ................

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