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

"This e-book introduces the reader to the technological know-how of graphene and carbon nanotubes. The reader will achieve the elemental medical wisdom to seriously overview the claims made within the literature and within the public enviornment concerning the actual houses and capability for functions of graphene and carbon nanotubes. additionally, the booklet makes use of those easy structures as very good types to illustrate vital ideas in Read more...

summary: "This publication introduces the reader to the technological know-how of graphene and carbon nanotubes. The reader will achieve the fundamental medical wisdom to seriously review the claims made within the literature and within the public area in regards to the actual houses and power for purposes of graphene and carbon nanotubes. additionally, the booklet makes use of those uncomplicated structures as first-class types to illustrate very important innovations in stable kingdom physics and fabrics chemistry to the reader. The ebook is co-authored by way of one of many leaders in public engagement on the nationwide Graphene Institute at Manchester collage, which used to be based in honour of the Nobel Laureate Sir Andre Geim"

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Dokl. Acad. Nauk USSR 201, 1104 (1971). 13. PPK Smith and PR Buseck, Science 216, 984 (1982). 14. WA Chalifoux and RR Tykwinski, Nat. Chem. 2, 967 (2010). 15. H Kroto, Carbyne and other myths about carbon. Chem. World 7, 1014913 (November 2010). JC Kotz and KF Purcell, Chemistry & Chemical Reactivity, Saunders College Publishing (1987). 17. A Kleiner and S Eggert, Phys. Rev. B 64, 113402 (2001). 1 Some introductory remarks on the application of tight-binding theory to graphene In general terms, there are two approaches to predicting electronic dispersion relations (band structure) of solids: ­ nearly free electron theory and tight-binding theory.

FA Carey and RM Giuliano, Organic Chemistry, McGraw-Hill, New York (2008). TW Graham Solomons, Fundamentals of Organic Chemistry, Wiley-VCH, Weinheim (1982). 10. A El Goresy and G Donnay, Science 161, 363 (1968). 11. , Carbon 11, 70 (1973). 12. , Dokl. Acad. Nauk USSR 201, 1104 (1971). 13. PPK Smith and PR Buseck, Science 216, 984 (1982). 14. WA Chalifoux and RR Tykwinski, Nat. Chem. 2, 967 (2010). 15. H Kroto, Carbyne and other myths about carbon. Chem. World 7, 1014913 (November 2010). JC Kotz and KF Purcell, Chemistry & Chemical Reactivity, Saunders College Publishing (1987).

7). Whilst the hypothetical carbyne chain of sp-hybridized carbon is a chain of identical atoms, the primitive unit cell of the graphene lattice consists of two non-identical atoms (A and B): The B atom has the same hybridized orbitals as the A atom, but rotated through 180°. 9) 3 3 = ù 1 2é 3 1 Y ( 2s ) + Y ( 2 px ) - Y ( 2 p y ) ú ê 3ë 2 2 3 û = ù 1 2é 3 1 Y ( 2s ) Y ( 2 px ) + Y ( 2 p y ) ú ê 3ë 2 2 3 û The final (but very important) matter we must discuss relating to sp2 hybridization is the fate of the electron in the Ψ(2pz) orbital, the orbital which does not take part in hybridization.

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