Abstract
We present a comparative ab initio study of surface diffusion of Li and Na on planar and curved graphene. The barrier for diffusion is ~0.1 eV lower for Na than for Li, and is changed significantly by curvature. The maximum change is similar for Li for Na, of the order of ±0.1 eV on the convex and concave sides. The difference in barrier for metal atoms adsorbed on the concave and convex sides can reach 0.2 eV. This modulation of the diffusion barrier by curvature is therefore expected to affect significantly the rate capability of graphene-based anodes.
Similar content being viewed by others
References
M.M. Thackeray, C. Wolverton, and E.D. Isaacs: Electrical energy storage for transportation–approaching the limits of, and going beyond, lithium-ion batteries. Energy Environ. Sci. 5, 7854 (2012).
E. Barbour, I.A. Grant Wilson, I.G. Bryden, P.G. McGregor, P.A. Mulheran, and P.J. Hall: Towards an objective method to compare energy storage technologies: development and validation of a model to determine the upper boundary of revenue available from electrical price arbitrage. Energy Environ. Sci. 5, 5425 (2012).
A.K. Shukla and T.P. Kumar: Lithium economy: will it get the electric traction?J. Phys. Chem. Lett. 4, 551 (2013).
X. Fan, W.T. Zheng, and J.-L. Kuo: Adsorption and diffusion of Li on pristine and defective graphene. ACS Appl. Mater. Interfaces 4, 2432 (2012).
L.-J. Zhou, Z.F. Hou, and L-.M. Wu: First-principles study of lithium adsorption and diffusion on graphene with point defects. J. Phys. Chem. C 116, 21780 (2012).
C. Uthaisar and V. Barone: Edge effects on the characteristics of Li diffusion in graphene. Nano Lett. 10, 28238 (2010).
Y. Fang, Y. Lv, R. Che, H. Wu, X. Zhang, D. Gu, G. Zheng, and D. Zhao: Two-dimensional mesoporous carbon nanosheets and their derived graphene nanosheets: synthesis and efficient lithium ion storage. J. Am. Chem. Soc. 135, 1524 (2013).
B. Luo, Y. Fang, B. Wang, J. Zhou, H. Song, and L. Zhi: Two dimensional graphene-SnS2 hybrids with superior rate capability for lithium ion storage. Energy Environ. Sci. 5, 5226 (2012).
Y. Gu, Y. Xu, and Y. Wang: Graphene-wrapped CoS nanoparticles for high-capacity lithium-ion storage. ACS Appl. Mater. Interfaces 5, 801 (2013).
J.C. Meyer, A.K. Geim, M.I. Katsnelson, K.S.N. Novoselov, T.J. Booth, and S. Roth: The structure of suspended graphene. Nature 446, 60 (2007).
P. Lian, X. Zhu, S. Liang, Z. Li, W. Yang, and H. Wanga: Large reversible capacity of high quality graphene sheets as an anode material for lithium-ion batteries. Electrochim. Acta 55, 3909 (2010).
P. Guo, H. Song, and X. Chen: Electrochemical performance of graphene nanosheets as anode material for lithium-ion batteries. Electrochem. Commun. 11, 1320 (2009).
V. Tozzini and V. Pellegrini: Reversible hydrogen storage by controlled buckling of graphene layers. J. Phys. Chem. C 115, 25523 (2011).
J.-U. Lee, D. Yoon, and H. Cheong: Estimation of Young’s modulus of graphene by Raman spectroscopy. Nano Lett. 12, 4444 (2012).
M. Khantha, N.A. Cordero, J.A. Alonso, M. Cawkwell, and L.A. Girifalco: Interaction and concerted diffusion of lithium in a (5,5) carbon nanotube. Phys. Rev. B 78, 115430 (2008).
B.J. Landi, M.J. Ganter, C.D. Cress, R.A. DiLeo, and R.P. Raffaelle: Carbon nanotubes for lithium ion batteries. Energy Environ. Sci. 2, 638 (2009).
W. Kohn and L.J. Sham: Self-consistent equations including exchange and correlation effects. Phys. Rev. 140, A1133 (1965).
J.P. Perdew, K. Burke, and M. Ernzerhoff: Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865 (1996).
J.M. Soler, E. Artacho, J.D. Dale, A. Garcia, J. Junquera, P. Ordejon, and D. Sanchez-Portal: The SIESTA method for ab initio order-N materials simulation. J. Phys. Condens. Matter 14, 2745 (2002).
N. Troullier and J.L. Martins: Efficient pseudopotentials for plane-wave calculations. Phys. Rev. B 43, 1993 (1991).
S. Kattel, P. Atanassov, and B. Kiefer: Density functional theory study of Ni–Nx/C electrocatalyst for oxygen reduction in alkaline and acidic media. J. Phys. Chem. C 116, 17378 (2012).
D. Jiang, B.G. Sumpter, and S. Dai: Unique chemical reactivity of a graphene nanoribbon’s zigzag edge. J. Chem. Phys. 126, 134701 (2007).
C. Rajesh, C. Majumder, H. Mizuseki, and Y. Kawazoe: A theoretical study on the interaction of aromatic amino acids with graphene and single walled carbon nanotube. J. Chem. Phys. 130, 124911 (2009).
S.F. Boys and F. Bernardi: The calculation of small molecular interactions by the differences of separate total energies. Some procedures with reduced errors. Mol. Phys. 19, 553 (1970).
S.-M. Choi and S.-H. Jhi: Self-assembled metal atom chains on graphene nanoribbons. Phys. Rev. Lett. 101, 266105 (2008).
C.G. Hwang, S.Y. Shin, S.-M. Choi, N.D. Kim, S.H. Uhm, H.S. Kim, C.C. Hwang, D.Y. Noh, S.-H. Jhi, and J.W. Chung: Stability of graphene band structures against an external periodic perturbation: Na on graphene. Phys. Rev. B 79, 115439 (2009).
M. Khantha, N.A. Cordero, L.M. Molina, J.A. Alonso, and L.A. Girifalco: Interaction of lithium with graphene: an ab initio study. Phys. Rev. B 70, 125422 (2004).
A.F. Jalbout, Y.P. Ortiz, and T.H. Seligman: Spontaneous symmetry breaking and strong deformations in metal adsorbed graphene sheets. Chem. Phys. Lett. 564, 69 (2013).
O.I. Malyi, T.L. Tan, and S. Manzhos: A comparative computational study of structures, diffusion, and dopant interactions between Li and Na insertion into Si. Appl. Phys. Express 6, 027301 (2013).
W. Humphrey, A. Dalke, and K. Schulten: VMD–visual molecular dynamics. J. Mol. Graphics 14, 33 (1996).
Acknowledgments
This work was supported by Tier 1 AcRF grant (R-265-000-430-133) of the Ministry of Education of Singapore.
Author information
Authors and Affiliations
Corresponding author
Supplementary materials
Supplementary materials
For supplementary material for this article, please visit {rs|http://dx.doi.org/10.1557/mrc.2013.24|url|}
Rights and permissions
About this article
Cite this article
Koh, Y.W., Manzhos, S. Curvature drastically changes diffusion properties of Li and Na on graphene. MRS Communications 3, 171–175 (2013). https://doi.org/10.1557/mrc.2013.24
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1557/mrc.2013.24