Abstract
Thermal expansion properties of hydrogenated graphene are investigated by performing the first-principles calculations. We find that both fully hydrogenated graphene (graphane) and half hydrogenated graphene (graphone) exhibit negative thermal expansion properties at low temperatures. Their thermal expansion behaviors display the hydrogenation-dependent features: hydrogenated graphene with boat-like structures possess better negative thermal expansion properties than those with chair-like structures. In particular, the graphane with boat-like structure shows giant negative thermal expansion, with thermal expansion coefficient of about −4.1 × 10-5 K-1. Such different thermal behaviors are ascribed to different vibrational features, and the typical modes contributing to the negative thermal properties of the systems are addressed. Our results will be of importance for both fundamental understanding and the application of this family in nanodevices in the future.
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K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, Y. Zhang, S.V. Dubonos, I.V. Grigorieva, A.A. Firsov, Science 306, 666 (2004)
K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, M.I. Katsnelson, V. Grigoreva, S.V. Dubonos, Nature 438, 197 (2005)
S. Stankovich, D.A. Dikin, G.H.B. Dommett, K.M. Kohlhaas, E.J. Zimney, E.A. Stach, R.D. Piner, S.T. Nguyen, R.S. Ruoff, Nature 442, 282 (2006)
A.K. Geim, K.S. Novoselov, Nat. Mater. 6, 183 (2007)
C. Lee, X.D. Wei, J.W. Kysar, J. Hone, Science 321, 385 (2008)
A.A. Balandin, S. Ghosh, W.Z. Bao, I. Calizo, D. Teweldebrhan, F. Miao, C.N. Lau, Nano Lett. 8, 902 (2008)
A. Rycerz, J. Tworzydlo, C.W.J. Beenakker, Nat. Phys. 3, 172 (2007)
L.A. Ponomarenko, F. Schedin, M.I. Katsnelson, R. Yang, E.W. Hill, K.S. Novoselov, A.K. Geim, Science 320, 356 (2008)
X. Wang, Y. Ouyang, X. Li, H. Wang, J. Guo, H. Dai, Phys. Rev. Lett. 100, 206803 (2008)
Y.-M. Lin, K.A. Jenkins, A. Valdes-Garcia, J.P. Small, D.B. Farmer, P. Avouris, Nano Lett. 9, 422 (2009)
P. Avouris, Z. Chen, V. Perebeinos, Nat. Nanotechnol. 2, 605 (2007)
F. Liu et al., Adv. Mater. 24, 1089 (2012)
J. Hu, J. Alicea, R.Q. Wu, M. Franz, Phys. Rev. Lett. 109, 266801 (2012)
A.V. Tyurnina, K. Tsukagoshi, H. Hiura, A.N. Obraztsov, Carbon 52, 49 (2013)
X.S. Wu, M. Sprinkle, X.B. Li, F. Ming, C. Berger, W.A. de Heer, Phys. Rev. Lett. 101, 026801 (2008)
I. Jung, D.A. Dikin, R.D. Piner, R.S. Ruoff, Nano Lett. 8, 4283 (2008)
J.A. Yan, L.D. Xian, M.Y. Chou, Phys. Rev. Lett. 103, 086802 (2009)
S. Gilje, S. Han, M. Wang, K.L. Wang, R.B. Kaner, Nano Lett. 7, 3394 (2007)
J.O. Sofo, A.S. Chardhari, G.D. Barber, Phys. Rev. B 75, 153401 (2007)
D.C. Elias et al., Science 323, 610 (2009)
J. Zhou, Q. Wang, Q. Sun, X.S. Chen, Y. Kawazoe, P. Jena, Nano Lett. 9, 3867 (2009)
F.W. Averill, J.R. Morris, Phys. Rev. B 84, 035411 (2011)
G. Savini, A.C. Ferrari, F. Giustino, Phys. Rev. Lett. 105, 037002 (2010)
S. Lebegue, M. Klintenberg, O. Eriksson, M.I. Katsnelson, Phys. Rev. B 79, 245117 (2009)
B.S. Pujari, S. Gusarov, M. Brett, A. Kovalenko, Phys. Rev. B 84, 041402 (2011)
H. Gao, L. Wang, J. Zhao, F. Ding, J. Lu, J. Phys. Chem. C 115, 3236 (2011)
A.S. Barnard, I.K. Snook, J. Mater. Chem. 20, 10459 (2010)
M.Z.S. Flores, P.A.S. Autreto, S.B. Legoas, D.S. Galvao, Nanotechnology 20, 465704 (2009)
M.H. Wu, X.J. Wu, Y. Gao, X.C. Zeng, J. Phys. Chem. C 114, 139 (2010)
R. Balog et al., Nat. Mater. 9, 315 (2010)
C.D. Reddy, Y.W. Zhang, V.B. Shenoy, Nanotechnology 23, 165303 (2012)
W. Zou, Z.Z. Yu, C.X. Zhang, J.X. Zhong, L.Z. Sun, Appl. Phys. Lett. 100, 103109 (2012)
W. Bao, F. Miao, Z. Chen, H. Zhang, W. Jang, C. Dames, C.N. Lau, Nat. Nanotechnol. 4, 562 (2009)
J.W. Jiang, J.S. Wang, B.W. Li, Phys. Rev. B 80, 205429 (2009)
H.J. Shen, Micro and Nano Lett. 8, 740 (2013)
X.H. Zhou, Y. Huang, X.S. Chen, W. Lu, Solid State Commun. 157, 24 (2013)
H. Peelaers, A.D. Hernandez-Nieves, O. Leenaerts, B. Partoens, F.M. Peeters, Appl. Phys. Lett. 98, 051914 (2011)
D. Sanchez-Portal, P. Ordejon, E. Artacho, J.M. Soler, Int. J. Quantum Chem. 65, 453 (1997)
N. Troullier, J.L. Martins, Phys. Rev. B 43, 1993 (1991)
J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996)
J.M. Soler, E. Artacho, J.D. Gale, A. Garcia, J. Junquera, P. Ordejon, D. Sanchez-Portal, J. Phys.: Condens. Matter 14, 2745 (2002) and references therein
H.J. Monkhorst, J.D. Pack, Phys. Rev. B 13, 5188 (1976)
M.T. Yin, M.L. Cohen, Phys. Rev. B 26, 3259 (1982)
K. Wang, R.R. Reeber, Appl. Phys. Lett. 76, 2203 (2000)
E. Grüneisen, Hanbuch der Physik 10, 1 (1926)
T.H.K. Barron, Philos. Mag. 46, 720 (1955)
G.D. Barrera, J.A.O. Bruno, T.H.K. Barron, N.L. Allan, J. Phys.: Condens. Matter 17, R217 (2005)
T.M.G. Mohiuddin et al., Phys. Rev. B 79, 205433 (2009)
D.M. Basko, S. Piscanec, A.C. Ferrari, Phys. Rev. B 80, 165413 (2009)
B. Kelly, Physics of Graphite (Applied Science, Englewood, 1981)
I.W. Frank, D.M. Tanenbaum, A.M. van der Zande, P.L. McEuen, J. Vac. Sci. Thechnol. B 25, 2558 (2007)
J.P. Perdew, Y. Wang, Phys. Rev. B 45, 13244 (1992)
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He, H., Pan, B. The hydrogenation-dependent thermal expansion properties of hydrogenated graphene. Eur. Phys. J. B 87, 40 (2014). https://doi.org/10.1140/epjb/e2014-40661-0
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DOI: https://doi.org/10.1140/epjb/e2014-40661-0