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Carbon From Graphite to Nanotubes Michael Kleinert 28th April 2011 http://en.wikipedia.org/wiki/File:FlyingThroughNanotube.png Content Timeline Graphite Diamond t 30,000 BC Rob Lavinsky, iRocks.com


  1. Carbon From Graphite to Nanotubes Michael Kleinert 28th April 2011 http://en.wikipedia.org/wiki/File:FlyingThroughNanotube.png

  2. Content – Timeline Graphite Diamond t 30,000 BC Rob Lavinsky, iRocks.com http://en.wikipedia.org/wiki/File:Apollo_synthetic_diamond.jpg http://de.wikipedia.org/w/index.php?title=Datei:GraphitGitter4.png&filetimestamp=20101021113501 28th April 2011 http://www.jesus.ch/www/lfiles/img/38293.jpg

  3. Content – Timeline t 28th April 2011

  4. Content – Timeline Fullerenes Nanotubes t 1985 1990s - Today 28th April 2011 http://en.wikipedia.org/wiki/File:Kohlenstoffnanoroehre_Animation.gif

  5. Content – Timeline Graphenes Diamondoids t 2004 - Today http://en.wikipedia.org/wiki/File:Diamondoids.png 28th April 2011 http://de.wikipedia.org/w/index.php?title=Datei:Graphen.jpg&filetimestamp=20100826054350

  6. Content – Timeline Graphite Diamond t 30,000 BC Rob Lavinsky, iRocks.com http://en.wikipedia.org/wiki/File:Apollo_synthetic_diamond.jpg http://de.wikipedia.org/w/index.php?title=Datei:GraphitGitter4.png&filetimestamp=20101021113501 28th April 2011 http://www.jesus.ch/www/lfiles/img/38293.jpg

  7. Variability of Carbon Graphite Diamond • hexagonal lattice • cubic lattice • 1-2 on Mohs scale • 10 on Mohs scale • tunable • thermal conductor A B A 28th April 2011 http://commons.wikimedia.org/wiki/File:Diamonds_glitter.png

  8. Variability of Carbon Diamond Graphite http://www.nextnano.de/nextnano3/images/tutorial/1DTightBinding_bulk_GaAs_GaP/BandStructureC_Vogl.jpg http://ruby.chemie.uni-freiburg.de/Vorlesung/Gif_bilder/Strukturchemie/c_graphit_bw.png 28th April 2011 Rob Lavinsky, iRocks.com

  9. Physical Conculsion Diamond is beautiful but Graphite / Graphene is fascinating ! 28th April 2011

  10. Content – Timeline Fullerenes Nanotubes t 1985 1990s - Today 28th April 2011 http://en.wikipedia.org/wiki/File:Kohlenstoffnanoroehre_Animation.gif

  11. Fullerenes : 0.7 nm diameter 28th April 2011 Nobel Lectures, Chemistry 1996-2000, Editor Ingmar Grenthe, World Scientific Publishing Co., Singapore, 2003

  12. 1996 – Nobel Prize in Chemistry Robert Curl & Harold Kroto & Richard Smalley "for their discovery of fullerenes" 28th April 2011 Nobel Lectures, Chemistry 1996-2000 , Editor Ingmar Grenthe, World Scientific Publishing Co., Singapore, 2003

  13. 1996 – Nobel Prize in Chemistry • But why did THEY got the Nobel Prize? • Smalley: 28th April 2011 Nobel Lectures, Chemistry 1996-2000, Editor Ingmar Grenthe, World Scientific Publishing Co., Singapore, 2003

  14. Synthesis of Fullerenes Supersonic laser-vaporization nozzle source 28th April 2011 Nobel Lectures, Chemistry 1996-2000, Editor Ingmar Grenthe, World Scientific Publishing Co., Singapore, 2003

  15. Synthesis of Fullerenes 28th April 2011 Nobel Lectures, Chemistry 1996-2000, Editor Ingmar Grenthe, World Scientific Publishing Co., Singapore, 2003

  16. Synthesis of Fullerenes • C 60 intensity unaffected by the boiling temperature • “magic numbers“ are stable (60, 70) C 60 C 70 http://www.cumschmidt.de/sm_fullerene.htm 28th April 2011 Acc. Chem. Res., Vol. 25, No. 3, 1992

  17. Properties of Fullerenes • Euler‟s “12 pentagon closure principle“ 28th April 2011 http://de.wikipedia.org/w/index.php?title=Datei:Fulleren_C60_Netzwerk.svg&filetimestamp=20100531203719

  18. Properties of Fullerenes • Smallest fullerene: • Stability: C 28 C 28 H 4 28th April 2011 Nobel Lectures, Chemistry 1996-2000, Editor Ingmar Grenthe, World Scientific Publishing Co., Singapore, 2003

  19. Buckminster Fullerene Montréal, CA: 1967 28th April 2011 http://de.wikipedia.org/w/index.php?title=Datei:Biosphere_montreal.JPG&filetimestamp=20071225184954

  20. The Way to Nanotubes Nanotubes Fullerenes t 1985 1990s - Today 28th April 2011 http://en.wikipedia.org/wiki/File:Kohlenstoffnanoroehre_Animation.gif

  21. SWNT and MWNT Single-Wall-Nanotubes Multi-Wall-Nanotubes (SWNT) (MWNT) Science 297 , 787 – 792 (02 August 2002) Nature 354 , 56 - 58 (07 November 1991); doi:10.1038/354056a0 28th April 2011

  22. SWNT - Characterization • single rolled graphite sheet • rolling-dependent electronic structure: – semiconductor – metallic • structure description: “chiral vector” ( n , m ) • tube diameter: 𝑒 = 𝑏 𝑜 2 + 𝑜 ∙ 𝑛 + 𝑛 2 𝜌 a = 0.246 nm 28th April 2011

  23. SWNT - Characterization n = m: armchair • metallic n or m = 0: zigzag any other: 𝑜 − 𝑛 chiral = 𝑙; 𝑙 ≠ 0 metallic 3 28th April 2011 http://de.wikipedia.org/w/index.php?title=Datei:Types_of_Carbon_Nanotubes.png&filetimestamp=20090124143631

  24. MWNT - Characterization • MWNT: similar to SWNTs – between tubes: Van-der-Waals forces Science 297 , 787 – 792 (02 August 2002) 28th April 2011

  25. Properties • periodic b.c. along tube → discrete states → like potential well • 1D electron gas → ballistic transport Physik Journal 10 , 39 – 44 (2004) 28th April 2011

  26. Properties • high currents, no heating: 4 × 10 9 A/cm 2 > 1000 x copper • strength: high Young‟s modulus – SWNT(10,10): 0.64 TPa Steel: 0.2 TPa • tensile strength: – SWNT: 37 GPa e.g. 3700 kg at 1 mm 2 cable 28th April 2011

  27. Properties • diameters: – SWNT: 0.4 – > 3 nm – MWNT: 1.4 – 100 nm • price for SWNT: – dropped form 1500 $/g in 2000 to 50 $/g in 2010 Nature 363 , 603 - 607 (17 June 1993); doi:10.1038/363605a0 Science 297 , 787 – 792 (02 August 2002) 28th April 2011

  28. Applications • improved resolution • imaging of narrow deep structures 28th April 2011

  29. Applications • Field Emission Devices – sharp tip → high electric field • e.g. Flat Panels – high brightness – wide viewing angle – wide operating temp – contacting problems! Science 297 , 787 – 792 (02 August 2002) 28th April 2011

  30. Applications • Electronic Devices – bottom-up creation • e.g. nanowires – small diameter → metal wires breakdown – growing through holes – problem: large contact resistances Physik Journal 10 , 39 – 44 (2004) 28th April 2011

  31. Applications Physik Journal 10 , 39 – 44 (2004) 28th April 2011

  32. Applications length-to-diameter ratio: > 132,000,000:1 28th April 2011

  33. Applications • NT-Field Effect Transistors: Physik Journal 10 , 39 – 44 (2004) 28th April 2011

  34. Applications • capacitors 𝐷 ∝ 𝐵/𝑒 – capacity: – nanotubes: d = 1 nm – capacitances: 200 F/g • actuators (artificial muscles): – just small voltage compared to piezos (100 V) – > 26 MPa 28th April 2011

  35. Who were the Discoverer? 28th April 2011

  36. Multi Wall Nanotubes http://de.wikipedia.org/w/index.php?title=Datei:Iijima.jpg&filetimestamp=20081013235958 Nature 354 , 56 - 58 (07 November 1991); doi:10.1038/354056a0 28th April 2011

  37. First Traces of Nanotubes ≈ 50 nm 28th April 2011

  38. Single Wall Nanotubes Nature 363 , 603 - 607 (17 June 1993); doi:10.1038/363605a0 28th April 2011

  39. Research and Developement publications vs. patents regional patents international patents patent topic Science 297 , 787 – 792 (02 August 2002) 28th April 2011

  40. Content – Timeline Graphenes Diamondoids t 2004 - Today http://en.wikipedia.org/wiki/File:Diamondoids.png 28th April 2011 http://de.wikipedia.org/w/index.php?title=Datei:Graphen.jpg&filetimestamp=20100826054350

  41. 2010 – Nobel Prize Andre Geim & Konstantin Novoselov University of Manchester "for groundbreaking experiments regarding the two-dimensional material graphene" 28th April 2011 http://nobelprize.org/nobel_prizes/physics/laureates/2010/press.html#

  42. Space-Time Conversion Graphite Diamond 3D D t Fullerenes Graphenes Nanotubes D t 0D 1D 2D 28th April 2011 http://en.wikipedia.org/wiki/File:Kohlenstoffnanoroehre_Animation.gif

  43. Importance on Graphene 2D 0D 3D 1D 28th April 2011

  44. History of Graphene “ graphene is an „academic‟ material” • theoretic calculations predict properties 1 + 4 cos 2 𝑙 𝑧 𝑏 2 + 4 cos 𝑙 𝑧 𝑏 2 ∙ cos 𝑙 𝑦 3𝑏 𝐹 = ±𝛿 0 2 𝛿 0 = 2.8 eV; a = 2.46 A 28th April 2011

  45. Electronic Structure • linear behavior at Fermi level • effective mass = 0 • relativistic behavior • description by Dirac equation → “Dirac electrons/holes” 28th April 2011 Nobel Prize introduction paper, (5 October 2010)

  46. History of Graphene • earlier attempts: – bulk graphite planes separated by atoms • large molecules → large separation – growth of single sheets ALL FAILED What have Geim and Novolesov done different? 28th April 2011

  47. Single Graphene Layers • repeated exfoliation of Highly Oriented Pyrolytic Graphite: 1. cohesive tape splits up graphite layers 2. tape fixed on SiO 2 3. tape is dissolved 28th April 2011 Science 22 October 2004: Vol. 306 no. 5696 pp. 666-669 DOI: 10.1126/science.1102896

  48. Single Graphene Layers Why did this simple method succeeded? • New recognition method! – SPM is too slow, – SEM hides layer thickness • Discovery: Visible in an optic microscope! – on thickness tuned SiO 2 layer 28th April 2011

  49. Properties → direct observation of the fine structure constant 28th April 2011 Nobel Prize introduction paper, (5 October 2010)

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