The many forms of carbon
|
|
- Dorothy Thomas
- 6 years ago
- Views:
Transcription
1 The many forms of carbon Carbon is not only the basis of life, it also provides an enormous variety of structures for nanotechnology. This versatility is connected to the ability of carbon to form two stable bonding configurations (sp 2, sp 3 ) with different bond geometry (planar, tetrahedral). sp 2 sp 3 -bonds + p z -bonds
2 - and - bonds -bond: orbital * orbital -bond: - + -orbital (bonding) *-orbital (antibonding)
3 Diamond 3D sp 3 Graphite, Graphene (= single sheet) 2D sp 2 Fullerene 0D Nanotube 1D
4 2D: Graphene, a single sheet of graphite A graphene sheet can be obtained simply by multiple peeling of graphite with sticky tape. A single sheet is visible to the naked eye. Graphene is very strong, has high electron mobility, and provides a transparent conductor with possible applications in displays and solar cells. The E(p) relation is linear instead of quadratic Nobel Prize in Physics to Geim and Novoselov
5 Energy bands of graphite: sp 2 +p z E sp 2 * Graphite is a semi-metal, where the density of states approaches zero at E Fermi. * The -bands touch E Fermi only at the corners K of the p z p x,y E Fermi Brillouin zone, while a freeelectron band would form a Fermi circle. sp 2 s Brillouin zone M K k x,y
6 Two-dimensional -bands of graphene E[eV] Empty E Fermi Occupied Empty K =0 M K k x,y Occupied In two dimensions one has the quantum numbers E, k x,y. This plot of the energy bands shows E vertically and k x,k y in the horizontal plane.
7 Dirac cones in graphene A special feature of the graphene -bands is the linear E(k) relation near the six corners (K) of the Brillouin zone (instead of the parabolic relation for free electrons). In a three-dimensional E(k x,k y ) plot one obtains cone-shaped energy band dispersions.
8 Topological Insulators A spin-polarized version of a Dirac cone occurs in topological insulators. These are insulators in the bulk and metals at the surface, because two surface bands bridge the bulk band gap. It is impossible topologically to remove the surface bands from the gap, because they are tied to the valence band on one side and to the conduction band on the other. The metallic surface state bands have been measured by angle- and spin-resolved photoemission (see Lecture 19). Hasan and Kane, Rev. Mod. Phys.
9 1D: Carbon nanotubes Carbon nanotubes are grown using catalytic metal clusters (Ni, Co, Fe, ). (Lecture 7, Slide 7)
10 Indexing of Nanotubes Unwrap a nanotube into planar graphene zigzag m=0 armchair n=m chiral n m Circumference vector c r = m a 1 + n a 2
11 Energy bands of carbon nanotubes: Quantization along the circumference Analogous to Bohr s quantization condition an integer number of electron wavelengths needs to fit around the circumference of the nanotube. Otherwise the electron waves would interfere destructively. This leads to a discrete number of allowed wavelengths n and wave vectors k n =2 / n along the circumference. Along the axis of the nanotube the electrons cane move freely. One gets a one-dimensional band for each quantized state. The kinetic energy p 2 /2m of the motion along the tube is added to the quantized energy level.
12 Density of states of a single nanotube Calculated Density of States D(E) : Each peak shows the one-dimensional 1/ E singularity at the band edge (see density of states in Lecture 13). Scanning Tunneling Spectroscopy: di/dv I/V D(E) 1 for V 0 when metallic
13 Distinguishing nanotubes with different n and m Two-dimensional spectroscopy: Measure both photon absorption (x-axis) and photon emission (y-axis).
14 0D: Fullerenes 1996 Nobel Prize in Chemistry to Curl, Kroto, Smalley Buckminster Fuller, father of the geodesic dome Buckminsterfullerene C 60 has the same hexagon + pentagon pattern as a soccer ball. The pentagons (highlighted) provide the curvature. C 60 solution in toluene
15 Fullerenes with increasing size Fewer pentagons produce less curvature. Symmetry
16 Production of fullerenes Plasma generation of fullerenes in a Krätschmer-Huffman apparatus. Mass spectrum showing the different fullerenes generated.
17 Molecular orbitals of C 60 The LUMO (lowest unoccupied molecular orbital) is located at the five-fold rings: The high symmetry of C 60 leads to highly degenerate levels. i.e., many distinct wave functions have the same energy. Up to 6 electrons can be placed into the LUMO of a single C 60, making it a popular electron acceptor in organic solar cells.
18 C 60 can be charged with up to 6 electrons The ability to take up that many electrons makes C 60 a popular electron acceptor for molecular electronics, for example in organic solar cells.
19 Empty orbitals of fullerenes from X-ray absorption spectroscopy * * photon LUMO, located at the strained five-fold rings C1s core level
Carbon nanomaterials. Gavin Lawes Wayne State University.
Carbon nanomaterials Gavin Lawes Wayne State University glawes@wayne.edu Outline 1. Carbon structures 2. Carbon nanostructures 3. Potential applications for Carbon nanostructures Periodic table from bpc.edu
More informationCarbon nanotubes and Graphene
16 October, 2008 Solid State Physics Seminar Main points 1 History and discovery of Graphene and Carbon nanotubes 2 Tight-binding approximation Dynamics of electrons near the Dirac-points 3 Properties
More informationCalculating Electronic Structure of Different Carbon Nanotubes and its Affect on Band Gap
Calculating Electronic Structure of Different Carbon Nanotubes and its Affect on Band Gap 1 Rashid Nizam, 2 S. Mahdi A. Rizvi, 3 Ameer Azam 1 Centre of Excellence in Material Science, Applied Physics AMU,
More informationLectures Graphene and
Lectures 15-16 Graphene and carbon nanotubes Graphene is atomically thin crystal of carbon which is stronger than steel but flexible, is transparent for light, and conducts electricity (gapless semiconductor).
More informationper unit cell Motif: Re at (0, 0, 0); 3O at ( 1 / 2, 0), (0, 0, 1 / 2 ) Re: 6 (octahedral coordination) O: 2 (linear coordination) ReO 6
Lattice: Primitive Cubic 1ReO 3 per unit cell Motif: Re at (0, 0, 0); 3O at ( 1 / 2, 0, 0), (0, 1 / 2, 0), (0, 0, 1 / 2 ) Re: 6 (octahedral coordination) O: 2 (linear coordination) ReO 6 octahedra share
More informationMore Bonding. Metals
Yet More Bonding Chemistry, Life, the Universe & Everything Cooper & Klymkowsky Shiny Conduct electricity Malleable Metals May be colored (gold, copper, etc) silver is colorless How does bonding in metals
More informationPHYS-E0424 Nanophysics Lecture 5: Fullerenes, Carbon Nanotubes and Graphene
PHYS-E0424 Nanophysics Lecture 5: Fullerenes, Carbon Nanotubes and Graphene PHYS-E0424 Nanophysics Lecture 5: Carbon Nanostructures Sebastiaan van Dijken 1 SEM/TEM Recently I was operating SEM for a first
More informationLecture 18, March 2, 2015 graphene, bucky balls, bucky tubes
Lecture 18, March 2, 2015 graphene, bucky balls, bucky tubes Elements of Quantum Chemistry with Applications to Chemical Bonding and Properties of Molecules and Solids Course number: Ch125a; Room 115 BI
More informationDiamond. There are four types of solid: -Hard Structure - Tetrahedral atomic arrangement. What hybrid state do you think the carbon has?
Bonding in Solids Bonding in Solids There are four types of solid: 1. Molecular (formed from molecules) - usually soft with low melting points and poor conductivity. 2. Covalent network - very hard with
More informationThere are four types of solid:
Bonding in Solids There are four types of solid: 1. Molecular (formed from molecules) - usually soft with low melting points and poor conductivity. 2. Covalent network - very hard with very high melting
More informationGraphene. Tianyu Ye November 30th, 2011
Graphene Tianyu Ye November 30th, 2011 Outline What is graphene? How to make graphene? (Exfoliation, Epitaxial, CVD) Is it graphene? (Identification methods) Transport properties; Other properties; Applications;
More informationCarbon based Nanoscale Electronics
Carbon based Nanoscale Electronics 09 02 200802 2008 ME class Outline driving force for the carbon nanomaterial electronic properties of fullerene exploration of electronic carbon nanotube gold rush of
More informationCarbon Structure Simulations using Crystal Viewer Tool
Carbon Structure Simulations using Crystal Viewer Tool The Crystal Viewer tool in nanohub.org can be used to build three carbon nanostructures: graphene sheets, Buckminsterfullerene, Bucky balls (C 60
More informationIntroduction to Nanotechnology Chapter 5 Carbon Nanostructures Lecture 1
Introduction to Nanotechnology Chapter 5 Carbon Nanostructures Lecture 1 ChiiDong Chen Institute of Physics, Academia Sinica chiidong@phys.sinica.edu.tw 02 27896766 Section 5.2.1 Nature of the Carbon Bond
More informationNanotechnology in Consumer Products
Nanotechnology in Consumer Products June 17, 2015 October 31, 2014 The webinar will begin at 1pm Eastern Time Perform an audio check by going to Tools > Audio > Audio Setup Wizard Chat Box Chat Box Send
More informationNature of the Chemical Bond with applications to catalysis, materials science, nanotechnology, surface science, bioinorganic chemistry, and energy
Lecture 22, November 16, 2016 Graphite, graphene, bucky balls, bucky tubes Nature of the Chemical Bond with applications to catalysis, materials science, nanotechnology, surface science, bioinorganic chemistry,
More informationELECTRONIC ENERGY DISPERSION AND STRUCTURAL PROPERTIES ON GRAPHENE AND CARBON NANOTUBES
ELECTRONIC ENERGY DISPERSION AND STRUCTURAL PROPERTIES ON GRAPHENE AND CARBON NANOTUBES D. RACOLTA, C. ANDRONACHE, D. TODORAN, R. TODORAN Technical University of Cluj Napoca, North University Center of
More informationGraphene and Carbon Nanotubes
Graphene and Carbon Nanotubes 1 atom thick films of graphite atomic chicken wire Novoselov et al - Science 306, 666 (004) 100μm Geim s group at Manchester Novoselov et al - Nature 438, 197 (005) Kim-Stormer
More informationGraphene films on silicon carbide (SiC) wafers supplied by Nitride Crystals, Inc.
9702 Gayton Road, Suite 320, Richmond, VA 23238, USA Phone: +1 (804) 709-6696 info@nitride-crystals.com www.nitride-crystals.com Graphene films on silicon carbide (SiC) wafers supplied by Nitride Crystals,
More informationELEMENTARY BAND THEORY
ELEMENTARY BAND THEORY PHYSICIST Solid state band Valence band, VB Conduction band, CB Fermi energy, E F Bloch orbital, delocalized n-doping p-doping Band gap, E g Direct band gap Indirect band gap Phonon
More informationGraphite, graphene and relativistic electrons
Graphite, graphene and relativistic electrons Introduction Physics of E. graphene Y. Andrei Experiments Rutgers University Transport electric field effect Quantum Hall Effect chiral fermions STM Dirac
More informationNanomaterials and their Optical Applications
Nanomaterials and their Optical Applications Winter Semester 2012 Lecture 06 Tentative version of November 13, 2012 Check for the definitive version after the lecture rachel.grange@uni-jena.de http://www.iap.uni-jena.de/multiphoton
More informationstructure of graphene and carbon nanotubes which forms the basis for many of their proposed applications in electronics.
Chapter Basics of graphene and carbon nanotubes This chapter reviews the theoretical understanding of the geometrical and electronic structure of graphene and carbon nanotubes which forms the basis for
More informationLecture 3: Electron statistics in a solid
Lecture 3: Electron statistics in a solid Contents Density of states. DOS in a 3D uniform solid.................... 3.2 DOS for a 2D solid........................ 4.3 DOS for a D solid........................
More information2 Symmetry. 2.1 Structure of carbon nanotubes
2 Symmetry Carbon nanotubes are hollow cylinders of graphite sheets. They can be viewed as single molecules, regarding their small size ( nm in diameter and µm length), or as quasi-one dimensional crystals
More informationGRAPHENE the first 2D crystal lattice
GRAPHENE the first 2D crystal lattice dimensionality of carbon diamond, graphite GRAPHENE realized in 2004 (Novoselov, Science 306, 2004) carbon nanotubes fullerenes, buckyballs what s so special about
More informationFree Electron Model for Metals
Free Electron Model for Metals Metals are very good at conducting both heat and electricity. A lattice of in a sea of electrons shared between all nuclei (moving freely between them): This is referred
More informationIntroduction to Nanotechnology Chapter 5 Carbon Nanostructures Lecture 1
Introduction to Nanotechnology Chapter 5 Carbon Nanostructures Lecture 1 ChiiDong Chen Institute of Physics, Academia Sinica chiidong@phys.sinica.edu.tw 02 27896766 Carbon contains 6 electrons: (1s) 2,
More informationCarbon Nanotubes (CNTs)
Carbon Nanotubes (s) Seminar: Quantendynamik in mesoskopischen Systemen Florian Figge Fakultät für Physik Albert-Ludwigs-Universität Freiburg July 7th, 2010 F. Figge (University of Freiburg) Carbon Nanotubes
More informationStrong Correlation Effects in Fullerene Molecules and Solids
Strong Correlation Effects in Fullerene Molecules and Solids Fei Lin Physics Department, Virginia Tech, Blacksburg, VA 2461 Fei Lin (Virginia Tech) Correlations in Fullerene SESAPS 211, Roanoke, VA 1 /
More informationChapter 4: Bonding in Solids and Electronic Properties. Free electron theory
Chapter 4: Bonding in Solids and Electronic Properties Free electron theory Consider free electrons in a metal an electron gas. regards a metal as a box in which electrons are free to move. assumes nuclei
More informationPhysics 211B : Problem Set #0
Physics 211B : Problem Set #0 These problems provide a cross section of the sort of exercises I would have assigned had I taught 211A. Please take a look at all the problems, and turn in problems 1, 4,
More informationNotes on Topological Insulators and Quantum Spin Hall Effect. Jouko Nieminen Tampere University of Technology.
Notes on Topological Insulators and Quantum Spin Hall Effect Jouko Nieminen Tampere University of Technology. Not so much discussed concept in this session: topology. In math, topology discards small details
More informationHalbleiter Prof. Yong Lei Prof. Thomas Hannappel
Halbleiter Prof. Yong Lei Prof. Thomas Hannappel yong.lei@tu-ilmenau.de thomas.hannappel@tu-ilmenau.de http:///nanostruk/ Organic semiconductors Small-molecular materials Rubrene Pentacene Polymers PEDOT:PSS
More informationCarbon Nanomaterials
Carbon Nanomaterials STM Image 7 nm AFM Image Fullerenes C 60 was established by mass spectrographic analysis by Kroto and Smalley in 1985 C 60 is called a buckminsterfullerene or buckyball due to resemblance
More informationChemistry 1000 Lecture 22: Group 14 and Boron. Marc R. Roussel
Chemistry 1000 Lecture 22: Group 14 and Boron Marc R. Roussel Group 14 In this group again, we see a full range of nonmetallic to metallic behavior: C is a nonmetal. Si and Ge are metalloids. Sn and Pb
More information3. Carbon nanostructures
3. Carbon nanostructures [Poole-Owens 5, Wolf 6, own knowledge, Springer handbook ch. 3] Introduction to Nanoscience, 2005 1 3.1. Background: carbon bonding To understand the basic C nanostructures we
More informationMolecular Geometry. Introduction
Molecular Geometry Introduction In this lab, you will explore how the geometry and structure of molecules are influenced by the number of bonding electron pairs and lone pairs of electrons around different
More information& Dirac Fermion confinement Zahra Khatibi
Graphene & Dirac Fermion confinement Zahra Khatibi 1 Outline: What is so special about Graphene? applications What is Graphene? Structure Transport properties Dirac fermions confinement Necessity External
More informationGraphene - most two-dimensional system imaginable
Graphene - most two-dimensional system imaginable A suspended sheet of pure graphene a plane layer of C atoms bonded together in a honeycomb lattice is the most two-dimensional system imaginable. A.J.
More informationSpectroscopies for Unoccupied States = Electrons
Spectroscopies for Unoccupied States = Electrons Photoemission 1 Hole Inverse Photoemission 1 Electron Tunneling Spectroscopy 1 Electron/Hole Emission 1 Hole Absorption Will be discussed with core levels
More informationBand Structure of Isolated and Bundled Nanotubes
Chapter 5 Band Structure of Isolated and Bundled Nanotubes The electronic structure of carbon nanotubes is characterized by a series of bands (sub- or minibands) arising from the confinement around the
More informationCalculation of Cutting Lines of Single-Walled Carbon Nanotubes
65 C.Ü. Fen Fakültesi Fen Bilimleri Dergisi, Cilt 33, No. 1 (2012) Calculation of Cutting Lines of Single-Walled Carbon Nanotubes Erdem UZUN 1* 1 Karamanoğlu Mehmetbey Üniversitesi, Fen Fakültesi, Fizik
More informationSo why is sodium a metal? Tungsten Half-filled 5d band & half-filled 6s band. Insulators. Interaction of metals with light?
Bonding in Solids: Metals, Insulators, & CHEM 107 T. Hughbanks Delocalized bonding in Solids Think of a pure solid as a single, very large molecule. Use our bonding pictures to try to understand properties.
More informationThis manuscript was submitted first in a reputed journal on Apri1 16 th Stanene: Atomically Thick Free-standing Layer of 2D Hexagonal Tin
This manuscript was submitted first in a reputed journal on Apri1 16 th 2015 Stanene: Atomically Thick Free-standing Layer of 2D Hexagonal Tin Sumit Saxena 1, Raghvendra Pratap Choudhary, and Shobha Shukla
More informationGraphene The Search For Two Dimensions. Christopher Scott Friedline Arizona State University
Graphene The Search For Two Dimensions Christopher Scott Friedline Arizona State University What Is Graphene? Single atomic layer of graphite arranged in a honeycomb crystal lattice Consists of sp 2 -bonded
More informationChapter 12: Structures & Properties of Ceramics
Chapter 12: Structures & Properties of Ceramics ISSUES TO ADDRESS... How do the crystal structures of ceramic materials differ from those for metals? How do point defects in ceramics differ from those
More informationLow Dimensional System & Nanostructures Angel Rubio & Nerea Zabala. Carbon Nanotubes A New Era
Low Dimensional System & Nanostructures Angel Rubio & Nerea Zabala Carbon Nanotubes A New Era By Afaf El-Sayed 2009 Outline World of Carbon - Graphite - Diamond - Fullerene Carbon Nanotubes CNTs - Discovery
More informationTopological insulators
Oddelek za fiziko Seminar 1 b 1. letnik, II. stopnja Topological insulators Author: Žiga Kos Supervisor: prof. dr. Dragan Mihailović Ljubljana, June 24, 2013 Abstract In the seminar, the basic ideas behind
More informationLecture 4: Band theory
Lecture 4: Band theory Very short introduction to modern computational solid state chemistry Band theory of solids Molecules vs. solids Band structures Analysis of chemical bonding in Reciprocal space
More informationARPES experiments on 3D topological insulators. Inna Vishik Physics 250 (Special topics: spectroscopies of quantum materials) UC Davis, Fall 2016
ARPES experiments on 3D topological insulators Inna Vishik Physics 250 (Special topics: spectroscopies of quantum materials) UC Davis, Fall 2016 Outline Using ARPES to demonstrate that certain materials
More informationNanostructured Carbon Allotropes as Weyl-Like Semimetals
Nanostructured Carbon Allotropes as Weyl-Like Semimetals Shengbai Zhang Department of Physics, Applied Physics & Astronomy Rensselaer Polytechnic Institute symmetry In quantum mechanics, symmetry can be
More informationDirac semimetal in three dimensions
Dirac semimetal in three dimensions Steve M. Young, Saad Zaheer, Jeffrey C. Y. Teo, Charles L. Kane, Eugene J. Mele, and Andrew M. Rappe University of Pennsylvania 6/7/12 1 Dirac points in Graphene Without
More information5 Problems Chapter 5: Electrons Subject to a Periodic Potential Band Theory of Solids
E n = :75, so E cont = E E n = :75 = :479. Using E =!, :479 = m e k z =! j e j m e k z! k z = r :479 je j m e = :55 9 (44) (v g ) z = @! @k z = m e k z = m e :55 9 = :95 5 m/s. 4.. A ev electron is to
More informationNano-1. Nanoscience I: Hard nanostructures. Kai Nordlund Faculty of Science Department of Physics Division of Materials Physics
Nanoscience I: Hard nanostructures Kai Nordlund 10.10.2010 Faculty of Science Department of Physics Division of Materials Physics Contents Carbon nanostructures Background Graphene Fullerenes Nanotubes
More information5 Topological insulator with time-reversal symmetry
Phys62.nb 63 5 Topological insulator with time-reversal symmetry It is impossible to have quantum Hall effect without breaking the time-reversal symmetry. xy xy. If we want xy to be invariant under, xy
More information3-month progress Report
3-month progress Report Graphene Devices and Circuits Supervisor Dr. P.A Childs Table of Content Abstract... 1 1. Introduction... 1 1.1 Graphene gold rush... 1 1.2 Properties of graphene... 3 1.3 Semiconductor
More informationWe are IntechOpen, the first native scientific publisher of Open Access books. International authors and editors. Our authors are among the TOP 1%
We are IntechOpen, the first native scientific publisher of Open Access books 3,350 108,000 1.7 M Open access books available International authors and editors Downloads Our authors are among the 151 Countries
More informationGeneral Chemistry I (2012) Lecture by B. H. Hong
3.8 The Limitations of Lewis's Theory 3.9 Molecular Orbitals The valence-bond (VB) and molecular orbital (MO) theories are both procedures for constructing approximate wavefunctions of electrons. The MO
More informationPhysics of Nanotubes, Graphite and Graphene Mildred Dresselhaus
Quantum Transport and Dynamics in Nanostructures The 4 th Windsor Summer School on Condensed Matter Theory 6-18 August 2007, Great Park Windsor (UK) Physics of Nanotubes, Graphite and Graphene Mildred
More informationQuantum Condensed Matter Physics
QCMP-2017/18 Problem sheet 2: Quantum Condensed Matter Physics Band structure 1. Optical absorption of simple metals Sketch the typical energy-wavevector dependence, or dispersion relation, of electrons
More informationElectronic properties of graphene. Jean-Noël Fuchs Laboratoire de Physique des Solides Université Paris-Sud (Orsay)
Electronic properties of graphene Jean-Noël Fuchs Laboratoire de Physique des Solides Université Paris-Sud (Orsay) Cargèse, September 2012 3 one-hour lectures in 2 x 1,5h on electronic properties of graphene
More informationChemistry 1000 Lecture 24: Group 14 and Boron
Chemistry 1000 Lecture 24: Group 14 and Boron Marc R. Roussel November 2, 2018 Marc R. Roussel Group 14 and Boron November 2, 2018 1 / 17 Group 14 In this group again, we see a full range of nonmetallic
More informationTopological Physics in Band Insulators II
Topological Physics in Band Insulators II Gene Mele University of Pennsylvania Topological Insulators in Two and Three Dimensions The canonical list of electric forms of matter is actually incomplete Conductor
More informationFEATURE ARTICLE. Structure and Electronic Properties of Carbon Nanotubes. Teri Wang Odom, Jin-Lin Huang, Philip Kim, and Charles M.
2794 J. Phys. Chem. B 2000, 104, 2794-2809 FEATURE ARTICLE Structure and Electronic Properties of Carbon Nanotubes Teri Wang Odom, Jin-Lin Huang, Philip Kim, and Charles M. Lieber* Department of Chemistry
More informationPH575 Spring Lecture #28 Nanoscience: the case study of graphene and carbon nanotubes.
PH575 Spring 2014 Lecture #28 Nanoscience: the case study of graphene and carbon nanotubes. Nanoscience scale 1-100 nm "Artificial atoms" Small size => discrete states Large surface to volume ratio Bottom-up
More informationFree Electron Model for Metals
Free Electron Model for Metals Metals are very good at conducting both heat and electricity. A lattice of in a sea of electrons shared between all nuclei (moving freely between them): This is referred
More informationGraphene and Planar Dirac Equation
Graphene and Planar Dirac Equation Marina de la Torre Mayado 2016 Marina de la Torre Mayado Graphene and Planar Dirac Equation June 2016 1 / 48 Outline 1 Introduction 2 The Dirac Model Tight-binding model
More informationSUPPLEMENTARY INFORMATION
A Dirac point insulator with topologically non-trivial surface states D. Hsieh, D. Qian, L. Wray, Y. Xia, Y.S. Hor, R.J. Cava, and M.Z. Hasan Topics: 1. Confirming the bulk nature of electronic bands by
More informationChapter 12. Solids and Modern Materials
Lecture Presentation Chapter 12 Solids and Modern Materials Graphene Thinnest, strongest known material; only one atom thick Conducts heat and electricity Transparent and completely impermeable to all
More informationRandom Telegraph Signal in Carbon Nanotube Device
Random Telegraph Signal in Carbon Nanotube Device Tsz Wah Chan Feb 28, 2008 1 Introduction 1. Structure of Single-walled Carbon Nanotube (SWCNT) 2. Electronic properties of SWCNT 3. Sample preparation:
More informationIn today s lecture, we will cover:
In today s lecture, we will cover: Metal and Metal oxide Nanoparticles Semiconductor Nanocrystals Carbon Nanotubes 1 Week 2: Nanoparticles Goals for this section Develop an understanding of the physical
More informationLab Week 4 Experiment α 2. Delocalization: Optical and Electronic Properties of C-based Molecules
3.4 Materials Laboratory December 26 Lab Week 4 Eperiment α 2 Delocalization: Optical and Electronic Properties of C-based Molecules OBJECTIVES Instructor: Benjamin Wunsch Review the Linear Combination
More informationHeterostructures and sub-bands
Heterostructures and sub-bands (Read Datta 6.1, 6.2; Davies 4.1-4.5) Quantum Wells In a quantum well, electrons are confined in one of three dimensions to exist within a region of length L z. If the barriers
More informationSolids. properties & structure
Solids properties & structure Determining Crystal Structure crystalline solids have a very regular geometric arrangement of their particles the arrangement of the particles and distances between them is
More informationElectronic Properties of Ultimate Nanowires. F. J. Himpsel, S. C. Erwin, I. Barke,
Electronic Properties of Ultimate Nanowires F. J. Himpsel, S. C. Erwin, I. Barke, Nanostructures with Atomic Precision Single-Atom Wire, Single Wave Function Ultimate Limits of Electronics, Data Storage
More informationQuantum Hall effect. Quantization of Hall resistance is incredibly precise: good to 1 part in I believe. WHY?? G xy = N e2 h.
Quantum Hall effect V1 V2 R L I I x = N e2 h V y V x =0 G xy = N e2 h n.b. h/e 2 = 25 kohms Quantization of Hall resistance is incredibly precise: good to 1 part in 10 10 I believe. WHY?? Robustness Why
More informationIn this lecture we will understand how the molecular orbitals are formed from the interaction of atomic orbitals.
Lecture 7 Title: Understanding of Molecular Orbital Page-1 In this lecture we will understand how the molecular orbitals are formed from the interaction of atomic orbitals. We will see how the electrons
More informationQuantized Electrical Conductance of Carbon nanotubes(cnts)
Quantized Electrical Conductance of Carbon nanotubes(cnts) By Boxiao Chen PH 464: Applied Optics Instructor: Andres L arosa Abstract One of the main factors that impacts the efficiency of solar cells is
More informationSpin orbit interaction in graphene monolayers & carbon nanotubes
Spin orbit interaction in graphene monolayers & carbon nanotubes Reinhold Egger Institut für Theoretische Physik, Düsseldorf Alessandro De Martino Andreas Schulz, Artur Hütten MPI Dresden, 25.10.2011 Overview
More informationAndrew Rosen *Note: If you can rotate a molecule to have one isomer equal to another, they are both the same
*Note: If you can rotate a molecule to have one isomer equal to another, they are both the same *Note: For hybridization, if an SP 2 is made, there is one unhybridized p orbital (because p usually has
More informationGraphene and Quantum Hall (2+1)D Physics
The 4 th QMMRC-IPCMS Winter School 8 Feb 2011, ECC, Seoul, Korea Outline 2 Graphene and Quantum Hall (2+1)D Physics Lecture 1. Electronic structures of graphene and bilayer graphene Lecture 2. Electrons
More informationChemistry: Synthesis and Modification Carbon-based Materials
Chemistry: Synthesis and Modification Carbon-based Materials The chemists are a strange class of mortals, impelled by an almost insane impulse to seek their pleasures amid smoke and vapour, soot and flame,
More informationSurface Transfer Doping of Diamond by Organic Molecules
Surface Transfer Doping of Diamond by Organic Molecules Qi Dongchen Department of Physics National University of Singapore Supervisor: Prof. Andrew T. S. Wee Dr. Gao Xingyu Scope of presentation Overview
More informationCHAPTER 6 CHIRALITY AND SIZE EFFECT IN SINGLE WALLED CARBON NANOTUBES
10 CHAPTER 6 CHIRALITY AND SIZE EFFECT IN SINGLE WALLED CARBON NANOTUBES 6.1 PREAMBLE Lot of research work is in progress to investigate the properties of CNTs for possible technological applications.
More informationSUPPLEMENTARY INFORMATION
DOI: 1.138/NMAT3449 Topological crystalline insulator states in Pb 1 x Sn x Se Content S1 Crystal growth, structural and chemical characterization. S2 Angle-resolved photoemission measurements at various
More informationCarbon nanotubes in a nutshell. Graphite band structure. What is a carbon nanotube? Start by considering graphite.
Carbon nanotubes in a nutshell What is a carbon nanotube? Start by considering graphite. sp 2 bonded carbon. Each atom connected to 3 neighbors w/ 120 degree bond angles. Hybridized π bonding across whole
More informationSUPPLEMENTARY INFORMATION
A Stable Three-dimensional Topological Dirac Semimetal Cd 3 As 2 Z. K. Liu, J. Jiang, B. Zhou, Z. J. Wang, Y. Zhang, H. M. Weng, D. Prabhakaran, S. -K. Mo, H. Peng, P. Dudin, T. Kim, M. Hoesch, Z. Fang,
More informationTopological Insulators and Ferromagnets: appearance of flat surface bands
Topological Insulators and Ferromagnets: appearance of flat surface bands Thomas Dahm University of Bielefeld T. Paananen and T. Dahm, PRB 87, 195447 (2013) T. Paananen et al, New J. Phys. 16, 033019 (2014)
More information2D Materials with Strong Spin-orbit Coupling: Topological and Electronic Transport Properties
2D Materials with Strong Spin-orbit Coupling: Topological and Electronic Transport Properties Artem Pulkin California Institute of Technology (Caltech), Pasadena, CA 91125, US Institute of Physics, Ecole
More informationWhy are we so excited about carbon nanostructures? Mildred Dresselhaus Massachusetts Institute of Technology Cambridge, MA
Why are we so excited about carbon nanostructures? Mildred Dresselhaus Massachusetts Institute of Technology Cambridge, MA Conference for Undergraduate Women in Physics at Yale January 18, 2009 Why are
More informationEnergy Spectroscopy. Ex.: Fe/MgO
Energy Spectroscopy Spectroscopy gives access to the electronic properties (and thus chemistry, magnetism,..) of the investigated system with thickness dependence Ex.: Fe/MgO Fe O Mg Control of the oxidation
More informationCHM 111 Unit 7 Sample Questions
Name: Class: Date: As you work these problems, consider and explain: A. What type of question is it? B. How do you know what type of question it is? C. What information are you looking for? D. What information
More informationIndex. Index. More information. in this web service Cambridge University Press
absorption edge, 290 absorption of one photon, 285 acceptors, 118 active medium, 287 active region, 293 alkanethiol endgroups, 150 alligator clips, 147 alloy, 68 amino acids, 145 amorphous, 68 amphoteric,
More informationarxiv: v1 [cond-mat.mes-hall] 25 Dec 2012
Surface conduction and π-bonds in graphene and topological insulator Bi 2 Se 3 G. J. Shu 1 and F. C. Chou 1,2,3 1 Center for Condensed Matter Sciences, National Taiwan University, Taipei 10617, Taiwan
More informationIntroduction to topological insulators. Jennifer Cano
Introduction to topological insulators Jennifer Cano Adapted from Charlie Kane s Windsor Lectures: http://www.physics.upenn.edu/~kane/ Review article: Hasan & Kane Rev. Mod. Phys. 2010 What is an insulator?
More informationOverview. Carbon in all its forms. Background & Discovery Fabrication. Important properties. Summary & References. Overview of current research
Graphene Prepared for Solid State Physics II Pr Dagotto Spring 2009 Laurene Tetard 03/23/09 Overview Carbon in all its forms Background & Discovery Fabrication Important properties Overview of current
More informationDensity Functional Theory (DFT) modelling of C60 and
ISPUB.COM The Internet Journal of Nanotechnology Volume 3 Number 1 Density Functional Theory (DFT) modelling of C60 and N@C60 N Kuganathan Citation N Kuganathan. Density Functional Theory (DFT) modelling
More informationMolecular Geometry. Introduction
Molecular Geometry Introduction In this lab, you will explore how the geometry and structure of molecules are influenced by the number of bonding electron pairs and lone pairs of electrons around different
More informationQuantum Spin Hall Effect in Graphene
Quantum Spin Hall Effect in Graphene Taylor S., Kai S., Benjamin S., Kathryn W., Penghao Z. C. L. Kane and E. J. Mele, Phys. Rev. Lett. 95, 226801 -- (2005) Quick Overview First the Motivation. Go over
More information