Skip to main content Accessibility help
×
Hostname: page-component-788cddb947-nxk7g Total loading time: 0 Render date: 2024-10-19T19:54:25.028Z Has data issue: false hasContentIssue false

1 - The electronic structure of ideal graphene

Published online by Cambridge University Press:  05 May 2012

Mikhail I. Katsnelson
Affiliation:
Radboud Universiteit Nijmegen
Get access

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.

Type
Chapter
Information
Graphene
Carbon in Two Dimensions
, pp. 1 - 22
Publisher: Cambridge University Press
Print publication year: 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×