An introduction to graphene and carbon nanotubes by John E. Proctor, Daniel Melendrez Armada, Aravind PDF

By John E. Proctor, Daniel Melendrez Armada, Aravind Vijayaraghavan

ISBN-10: 1498751792

ISBN-13: 9781498751797

"This e-book introduces the reader to the technology of graphene and carbon nanotubes. The reader will achieve the elemental clinical wisdom to seriously review the claims made within the literature and within the public enviornment in regards to the actual houses and power for functions of graphene and carbon nanotubes. moreover, the e-book makes use of those basic structures as first-class versions to illustrate vital ideas in Read more...

summary: "This e-book introduces the reader to the technological know-how of graphene and carbon nanotubes. The reader will achieve the fundamental medical wisdom to seriously overview the claims made within the literature and within the public area concerning the actual homes and capability for functions of graphene and carbon nanotubes. moreover, the e-book makes use of those uncomplicated platforms as first-class types to illustrate vital suggestions in reliable country physics and fabrics chemistry to the reader. The ebook is co-authored through one of many leaders in public engagement on the nationwide Graphene Institute at Manchester college, which used to be based in honour of the Nobel Laureate Sir Andre Geim"

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G. carbyne or acetylene): Hybridized orbitals are formed from linear combinations of the Ψ(2s) and Ψ(2px) wave functions. g. graphene or benzene): Hybridized orbitals are formed from linear combinations of the Ψ(2s) and Ψ(2px), Ψ(2py) wave functions. g. diamond or methane): Hybridized orbitals are formed from linear combinations of the Ψ(2s) and Ψ(2px), Ψ(2py), Ψ(2pz) wave functions. e. Z protons and one electron), the 2s and 2p orbitals have the same energy. In a multi-electron atom such as carbon, the small energy gap between the 2s and 2p orbitals arises from the fact both sit in a potential well in which the positive charge of the nucleus is partially screened from them by the negative charge of the 1s electrons.

The trend in bond length and energy as we move from sp through sp2 to sp3 bonding is exactly what we expect as a result of our discussion earlier regarding the formation of hybridized atomic orbitals from the addition of symmetric and antisymmetric wave functions. 4 What if the bonding geometry does not allow pure sp, sp2 or sp3 hybridization? Thus far, we have discussed sp, sp2 and sp3 hybridization in a manner appropriate to materials such as graphene and benzene (sp2), or diamond and methane (sp3).

The density of states in graphene (as a function of energy) displays interesting and unusual behaviour, but first we should discuss the basic mathematics underpinning density of states in two dimensions, because graphene is a genuinely 2D material. Readers requiring a broader view of the subject may also wish to consult standard texts discussing the density of states in three dimensions ([3–5] of Chapter 1). Consider a particle confined in infinite square well in two dimensions extending from (0,0) to (L,L).

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An introduction to graphene and carbon nanotubes by John E. Proctor, Daniel Melendrez Armada, Aravind Vijayaraghavan


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