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MATERIALS SCIENCE & ENGINEERING . Part of . A Learner’s Guide. AN INTRODUCTORY E-BOOK. Anandh Subramaniam & Kantesh Balani Materials Science and Engineering (MSE) Indian Institute of Technology, Kanpur- 208016 Email: anandh@iitk.ac.in, URL: home.iitk.ac.in/~anandh.

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slide1

MATERIALS SCIENCE

&

ENGINEERING

Part of

A Learner’s Guide

AN INTRODUCTORY E-BOOK

Anandh Subramaniam & Kantesh Balani

Materials Science and Engineering (MSE)

Indian Institute of Technology, Kanpur- 208016

Email:anandh@iitk.ac.in, URL:home.iitk.ac.in/~anandh

http://home.iitk.ac.in/~anandh/E-book.htm

Graphene

slide2

Graphene

  • Carbon is perhaps the most fascinating element in nature
  • The principal forms of carbon are: Graphite Diamond Fullerene, nanotubes and related structures
  • A single sheet of graphite is called graphene
  • It is sp2 hybridized  covalently bonded
  • The bonding between the graphene sheets in graphite is of van der Walls type
  • In this set of slides we consider crystallographic concepts related to graphene
  • It is a hexagonal array of Carbon atoms, which is NOT a lattice
slide3

Part of the hexagonal array of C atoms which forms the Graphene structure

Not all carbon positions form a lattice

slide5

Structure of single graphene sheet

Crystal = Lattice + Motif

Grey atoms sit on the lattice positions

Motif = 1 grey + 1 green

(in positions as shown)

  • Either the green or the grey carbon atoms can be considered to be located at lattice points(but not both)
  • In plane motif consists of two C atoms
  • The unit cell is as marked