Raman spectroscopic determination of the length, strength, compressibility, Debye temperature, elasticity, and force constant of the C-C bond in graphene

Nanoscale

Volumn 4, Issue 2, 2012, Pages 502-510

  Yang, X X ^a   Li, J W ^a   Zhou, Z F ^a   Wang, Y ^b   Yang, L W ^a   Zheng, W T ^c   Sun, Chang Q ^a,d  

^a XIANGTAN UNIVERSITY   (China)

^b HUNAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^c JILIN UNIVERSITY   (China)

^d NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMMETRIC RESPONSE; BOND ELONGATION; C-C BONDS; FORCE CONSTANTS; PEAK SHIFT; PHONON RELAXATION; PHONON SOFTENING; QUANTITATIVE INFORMATION; RAMAN FREQUENCIES; RAMAN SHIFT; RAMAN SPECTROSCOPIC; SHIFT-AND; THERMAL SOFTENING; UNI-AXIAL STRAINS;

COMPRESSIBILITY; DEBYE TEMPERATURE; ELASTICITY; GRAPHENE; PHONONS; RAMAN SPECTROSCOPY; STRAIN HARDENING; THERMAL EXPANSION;

TENSILE STRAIN;

CARBON; GRAPHITE; NANOMATERIAL;

ARTICLE; BINDING SITE; CHEMISTRY; COMPRESSIVE STRENGTH; CONFORMATION; ELASTICITY; MACROMOLECULE; MATERIALS TESTING; MECHANICAL STRESS; METHODOLOGY; PARTICLE SIZE; RAMAN SPECTROMETRY; SURFACE PROPERTY; TENSILE STRENGTH; TRANSITION TEMPERATURE; ULTRASTRUCTURE;

BINDING SITES; CARBON; COMPRESSIVE STRENGTH; ELASTICITY; GRAPHITE; MACROMOLECULAR SUBSTANCES; MATERIALS TESTING; MOLECULAR CONFORMATION; NANOSTRUCTURES; PARTICLE SIZE; SPECTRUM ANALYSIS, RAMAN; STRESS, MECHANICAL; SURFACE PROPERTIES; TENSILE STRENGTH; TRANSITION TEMPERATURE;

EID: 84855573511     PISSN: 20403364     EISSN: 20403372     Source Type: Journal    
DOI: 10.1039/c1nr11280e     Document Type: Article

References (61)

1. Y. Hao Y. Wang L. Wang Z. Ni Z. Wang R. Wang C. K. Koo Z. Shen J. T. L. Thong Probing Layer Number and Stacking Order of Few-Layer Graphene by Raman Spectroscopy Small 2010 6 195 200
2. H. Wang Y. Wang X. Cao M. Feng G. Lan Vibrational properties of graphene and graphene layers J. Raman Spectrosc. 2009 40 1791 1796
3. D. Graf F. Molitor K. Ensslin C. Stampfer A. Jungen C. Hierold L. Wirtz Spatially resolved raman spectroscopy of single- and few-layer graphene Nano Lett. 2007 7 238 242 (Pubitemid 46383577)
4. A. Gupta G. Chen P. Joshi S. Tadigadapa P. C. Eklund Raman Scattering from High-Frequency Phonons in Supported n-Graphene Layer Films Nano Lett. 2006 6 2667 2673 (Pubitemid 46129555)
5. T. M. G. Mohiuddin A. Lombardo R. R. Nair A. Bonetti G. Savini R. Jalil N. Bonini D. M. Basko C. Galiotis N. Marzari K. S. Novoselov A. K. Geim A. C. Ferrari Uniaxial strain in graphene by Raman spectroscopy: G peak splitting, Gruneisen parameters, and sample orientation Phys. Rev. B: Condens. Matter Mater. Phys. 2009 79 205433
6. T. Yu Z. Ni C. Du Y. You Y. Wang Z. Shen Raman Mapping Investigation of Graphene on Transparent Flexible Substrate: The Strain Effect J. Phys. Chem. C 2008 112 12602 12605
7. M. Huang H. Yan T. F. Heinz J. Hone Probing Strain-Induced Electronic Structure Change in Graphene by Raman Spectroscopy Nano Lett. 2010 10 4074 4079
8. J. E. Proctor E. Gregoryanz K. S. Novoselov M. Lotya J. N. Coleman M. P. Halsall High-pressure Raman spectroscopy of graphene Phys. Rev. B: Condens. Matter Mater. Phys. 2009 80 073408
9. I. Calizo S. Ghosh W. Bao F. Miao C. Ning Lau A. A. Balandin Raman nanometrology of graphene: Temperature and substrate effects Solid State Commun. 2009 149 1132 1135
10. J. L. Dattatray U. Maitra L. S. Panchakarla U. V. Waghmare C. N. R. Rao Temperature effects on the Raman spectra of graphenes: dependence on the number of layers and doping J. Phys.: Condens. Matter 2011 23 055303
11. E. H. Martins Ferreira M. V. O. Moutinho F. Stavale M. M. Lucchese R. B. Capaz C. A. Achete A. Jorio Evolution of the Raman spectra from single-, few-, and many-layer graphene with increasing disorder Phys. Rev. B: Condens. Matter Mater. Phys. 2010 82 125429
12. S. Berciaud S. Ryu L. E. Brus T. F. Heinz Probing the Intrinsic Properties of Exfoliated Graphene: Raman Spectroscopy of Free-Standing Monolayers Nano Lett. 2009 9 346 352
13. I. Calizo W. Bao F. Miao C. N. Lau A. A. Balandin The effect of substrates on the Raman spectrum of graphene Appl. Phys. Lett. 2007 91 201904
14. Z. Luo T. Yu K. J. Kim Z. Ni Y. You S. Lim Z. Shen S. Wang J. Lin Thickness-Dependent Reversible Hydrogenation of Graphene Layers ACS Nano 2009 3 1781 1788
15. L. M. Xie L. Y. Jiao H. J. Dai Selective Etching of Graphene Edges by Hydrogen Plasma J. Am. Chem. Soc. 2010 132 14751 14753
16. H. J. Shin W. M. Choi D. Choi G. H. Han S. M. Yoon H. K. Park S. W. Kim Y. W. Jin S. Y. Lee J. M. Kim J. Y. Choi Y. H. Lee Control of Electronic Structure of Graphene by Various Dopants and Their Effects on a Nanogenerator J. Am. Chem. Soc. 2010 132 15603 15609
17. L. G. Cancado M. A. Pimenta B. R. A. Neves M. S. S. Dantas A. Jorio Influence of the atomic structure on the Raman spectra of graphite edges Phys. Rev. Lett. 2004 93 247401
18. B. Krauss P. Nemes Incze V. Skakalova L. P. Biro K. V. Klitzing J. H. Smet Raman Scattering at Pure Graphene Zigzag Edges Nano Lett. 2010 10 4544 4548
19. Y. You Z. Ni T. Yu Z. Shen Edge chirality determination of graphene by Raman spectroscopy Appl. Phys. Lett. 2008 93 163112 163115
20. M. A. Pimenta G. Dresselhaus M. S. Dresselhaus L. G. Cancado A. Jorio R. Saito Studying disorder in graphite-based systems by Raman spectroscopy Phys. Chem. Chem. Phys. 2007 9 1276 1290
21. M. S. Dresselhaus A. Jorio R. Saito Characterizing Graphene, Graphite, and Carbon Nanotubes by Raman Spectroscopy Annu. Rev. Condens. Matter Phys. 2010 1 89 108
22. A. K. Gupta T. J. Russin H. R. Gutierrez P. C. Eklund Probing Graphene Edges via Raman Scattering ACS Nano 2009 3 45 52
23. I. Calizo A. A. Balandin W. Bao F. Miao C. N. Lau Temperature Dependence of the Raman Spectra of Graphene and Graphene Multilayers Nano Lett. 2007 7 2645 2649 (Pubitemid 47522415)
24. D. Yoon Y.-W. Son H. Cheong Strain-Dependent Splitting of the Double-Resonance Raman Scattering Band in Graphene Phys. Rev. Lett. 2011 106 155502
25. F. Ding H. Ji Y. Chen A. Herklotz K. Dorr Y. Mei A. Rastelli O. G. Schmidt Stretchable Graphene: A Close Look at Fundamental Parameters through Biaxial Straining Nano Lett. 2010 10 3453 3458
26. J. Liu Y. K. Vohra Raman Modes of 6H Polytype of Silicon Carbide to Ultrahigh Pressures: A Comparison with Silicon and Diamond Phys. Rev. Lett. 1994 72 4105 4108 (Pubitemid 24975595)
27. R. Cuscó E. Alarcón Lladó J. Ibáñez L. Artús J. Jiménez B. Wang M. J. Callahan Temperature dependence of Raman scattering in ZnO Phys. Rev. B: Condens. Matter Mater. Phys. 2007 75 165202 165213
28. C. Q. Sun Size dependence of nanostructures: Impact of bond order deficiency Prog. Solid State Chem. 2007 35 1 159 (Pubitemid 44781442)
29. X. Zhang W. T. Zheng J.-L. Kuo C. Q. Sun Discriminative generation and hydrogen modulation of the Dirac-Fermi polarons at graphene edges and atomic vacancies Carbon 2011 49 3615 3621
30. C. Q. Sun H. L. Bai B. K. Tay S. Li E. Y. Jiang Dimension, strength, and chemical and thermal stability of a single C-C bond in carbon nanotubes J. Phys. Chem. B 2003 107 7544 7546
31. C. Q. Sun Y. Sun Y. G. Nie Y. Wang J. S. Pan G. Ouyang L. K. Pan Z. Sun Coordination-Resolved C-C Bond Length and the C 1s Binding Energy of Carbon Allotropes and the Effective Atomic Coordination of the Few-Layer Graphene J. Phys. Chem. C 2009 113 16464 16467
32. C. Q. Sun Thermo-mechanical behavior of low-dimensional systems: The local bond average approach Prog. Mater. Sci. 2009 54 179 307
33. V. M. Goldschmidt Crystal structure and chemical correlation Ber. Dtsch. Chem. Ges. 1927 60 1263 1296
34. L. Pauling Atomic radii and interatomic distances in metals J. Am. Chem. Soc. 1947 69 542 553
35. P. J. Feibelman Relaxation of hcp(0001) surfaces: A chemical view Phys. Rev. B: Condens. Matter 1996 53 13740 13746
36. J. T. Miller A. J. Kropf Y. Zha J. R. Regalbuto L. Delannoy C. Louis E. Bus J. A. van Bokhoven The effect of gold particle size on Au-Au bond length and reactivity toward oxygen in supported catalysts J. Catal. 2006 240 222 234 (Pubitemid 44294523)
37. W. J. Huang R. Sun J. Tao L. D. Menard R. G. Nuzzo J. M. Zuo Coordination-dependent surface atomic contraction in nanocrystals revealed by coherent diffraction Nat. Mater. 2008 7 308 313 (Pubitemid 351430896)
38. V. Petkov Y. Peng G. Williams B. H. Huang D. Tomalia Y. Ren Structure of gold nanoparticles suspended in water studied by X-ray diffraction and computer simulations Phys. Rev. B: Condens. Matter Mater. Phys. 2005 72 195402
39. D. Q. Yang E. Sacher Initial- and final-state effects on metal cluster/substrate interactions, as determined by XPS: copper clusters on Dow Cyclotene and highly oriented pyrolytic graphite Appl. Surf. Sci. 2002 195 187 195 (Pubitemid 34803166)
40. I. Aruna B. R. Mehta L. K. Malhotra S. M. Shivaprasad Size dependence of core and valence binding energies in Pd nanoparticles: Interplay of quantum confinement and coordination reduction J. Appl. Phys. 2008 104 064308 064305
41. C. Kittel, Introduction to Solid State Physics. Wiley, New York, 1996, pp. 57
42. E. W. Wong P. E. Sheehan C. M. Lieber Nanobeam Mechanics: Elasticity, Strength, and Toughness of Nanorods and Nanotubes Science 1997 277 1971 1975 (Pubitemid 27449134)
43. M. R. Falvo G. J. Clary R. M. Taylor V. Chi F. P. Brooks Jr S. Washburn R. Superfine Bending and buckling of carbon nanotubes under large strain Nature 1997 389 582 584 (Pubitemid 27446170)
44. A. Bai F. Seiji Y. Kiyoshi Y. Masamichi Surface Superstructure of Carbon Nanotubes on Highly Oriented Pyrolytic Graphite Annealed at Elevated Temperatures Jpn. J. Appl. Phys. 1998 37 3809 3811
45. T. Balasubramanian J. N. Andersen L. Wallden Surface-bulk core-level splitting in graphite Phys. Rev. B: Condens. Matter 2001 64 205420 205423
46. K. Kim H. Lee J. H. Choi Y. S. Youn J. Choi H. Lee T. H. Kang M. C. Jung H. J. Shin H. J. Lee S. Kim B. Kim Scanning Photoemission Microscopy of Graphene Sheets on SiO2 Adv. Mater. 2008 20 3589 3591
47. W. T. Zheng C. Q. Sun Underneath the fascinations of carbon nanotubes and graphene nanoribbons Energy Environ. Sci. 2011 4 627 655
48. K. A. Kreisel G. P. A. Yap O. Dmitrenko C. R. Landis K. H. Theopold The shortest metal-metal bond yet: Molecular and electronic structure of a dinuclear chromium diazadiene complex J. Am. Chem. Soc. 2007 129 14162
49. F. A. Cotton E. A. Hillard C. A. Murillo H. C. Zhou After 155 years, a crystalline chromium carboxylate with a supershort Cr-Cr bond J. Am. Chem. Soc. 2000 122 416 417 (Pubitemid 30061084)
50. J. N. Armstrong S. Z. Hua H. D. Chopra Mechanics of quantum and Sharvin conductors Phys. Rev. B: Condens. Matter Mater. Phys. 2011 83 235422
51. C.Ö. Girit J. C. Meyer R. Erni M. D. Rossell C. Kisielowski L. Yang C. H. Park M. F. Crommie M. L. Cohen S. G. Louie A. Zettl Graphene at the Edge: Stability and Dynamics Science 2009 323 1705 1708
52. W. G. Han C. T. Zhang A theory of nonlinear stretch vibrations of hydrogen-bonds J. Phys.: Condens. Matter 1991 3 27 35
53. X. Liu L. Pan Sun Zhuo C. Q. Sun Strain engineering of the elasticity and the Raman shift of nanostructured TiO2 J. Appl. Phys 2011 110 044322
54. M. X. Gu L. K. Pan T. C. Au Yeung B. K. Tay C. Q. Sun Atomistic Origin of the Thermally Driven Softening of Raman Optical Phonons in Group III Nitrides J. Phys. Chem. C 2007 111 13606 13610 (Pubitemid 47481956)
55. F. Birch Finite Elastic Strain of Cubic Crystals Phys. Rev. 1947 71 809 824
56. F. D. Murnaghan The Compressibility of Media under Extreme Pressures Proc. Natl. Acad. Sci. U. S. A. 1944 30 244 247
57. L. Zhang Z. Jia L. Huang S. O'Brien Z. Yu Low-Temperature Raman Spectroscopy of Individual Single-Wall Carbon Nanotubes and Single-Layer Graphene J. Phys. Chem. C 2008 112 13893 13900
58. C. Thomsen S. Reich Double Resonant Raman Scattering in Graphite Phys. Rev. Lett. 2000 85 5214 5217 (Pubitemid 32871812)
59. S. Reich C. Thomsen P. Ordejon Elastic properties of carbon nanotubes under hydrostatic pressure Phys. Rev. B: Condens. Matter 2002 65 153407 153411
60. T. Enoki Y. Kobayashi K. I. Fukui Electronic structures of graphene edges and nanographene Int. Rev. Phys. Chem. 2007 26 609 645
61. M. M. Ugeda I. Brihuega F. Guinea J. M. Gómez-Rodríguez Missing Atom as a Source of Carbon Magnetism Phys. Rev. Lett. 2010 104 096804