Book contents
- Frontmatter
- Contents
- Preface
- 1 The electronic structure of ideal graphene
- 2 Electron states in a magnetic field
- 3 Quantum transport via evanescent waves
- 4 The Klein paradox and chiral tunnelling
- 5 Edges, nanoribbons and quantum dots
- 6 Point defects
- 7 Optics and response functions
- 8 The Coulomb problem
- 9 Crystal lattice dynamics, structure and thermodynamics
- 10 Gauge fields and strain engineering
- 11 Scattering mechanisms and transport properties
- 12 Spin effects and magnetism
- References
- Index
1 - The electronic structure of ideal graphene
Published online by Cambridge University Press: 05 May 2012
- Frontmatter
- Contents
- Preface
- 1 The electronic structure of ideal graphene
- 2 Electron states in a magnetic field
- 3 Quantum transport via evanescent waves
- 4 The Klein paradox and chiral tunnelling
- 5 Edges, nanoribbons and quantum dots
- 6 Point defects
- 7 Optics and response functions
- 8 The Coulomb problem
- 9 Crystal lattice dynamics, structure and thermodynamics
- 10 Gauge fields and strain engineering
- 11 Scattering mechanisms and transport properties
- 12 Spin effects and magnetism
- References
- Index
Summary
The carbon atom
Carbon is the sixth element in the Periodic Table. It has two stable isotopes, 12C (98.9% of natural carbon) with nuclear spin I = 0 and, thus, nuclear magnetic moment μn = 0, and 13C (1.1% of natural carbon) with I = ½ and μn = 0.7024μN (μN is the nuclear magneton), see Radzig & Smirnov (1985). Like most of the chemical elements, it originates from nucleosynthesis in stars (for a review, see the Nobel lecture by Fowler (1984)). Actually, it plays a crucial role in the chemical evolution of the Universe.
The stars of the first generation produced energy only by proton–proton chain reaction, which results in the synthesis of one α-particle (nucleus 4He) from four protons, p. Further nuclear fusion reactions might lead to the formation of either of the isotopes 5He and 5Li (p + α collisions) or of 8Be (α + α collisions); however, all these nuclei are very unstable. As was first realized by F. Hoyle, the chemical evolution does not stop at helium only due to a lucky coincidence – the nucleus 12C has an energy level close enough to the energy of three α-particles, thus, the triple fusion reaction 3α → 12C, being resonant, has a high enough probability. This opens up a way to overcome the mass gap (the absence of stable isotopes with masses 5 and 8) and provides the prerequisites for nucleosynthesis up to the most stable nucleus, 56Fe; heavier elements are synthesized in supernova explosions.
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- Information
- GrapheneCarbon in Two Dimensions, pp. 1 - 22Publisher: Cambridge University PressPrint publication year: 2012
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