采用分子动力学方法, 模拟充电过程中锂离子在石墨层间的扩散行为. 研究了300 K温度下石墨阳极材料的锂离子扩散性质; 计算了Einstein 关系下LiC6, LiC12 和LiC18 的扩散系数, 得到了LixC6 扩散系数与锂离子浓度的关系曲线. 结果表明, 在充电过程中锂离子电池的扩散系数随嵌锂浓度的变化而变化. 在二阶段和一阶段, 扩散系数分别随浓度的增大而减小, 而在LiC12 附近, 扩散系数由于结构相变而发生较大变化. 此外, 通过分子动力学可视化图像显示了LixC6 晶体的微观结构. 实验结果为锂离子电池电极变形的连续尺度模型研究提供了基础数据.
Simulation of the Li-ion diffusion behavior in graphite during the charging process is performed by using molecular dynamics. The Li-ion diffusion properties of the graphite anode material are studied at 300 K. Diffusion coefficients of LiC6, LiC12 and LiC18 are calculated by Einstein relationship. The relationship between diffusion coefficients of LixC6 and Li concentration is obtained. The results show that diffusion coefficient changes with Li concentrations in the charging process. Stage Ⅰ and stage Ⅱ diffusion coefficient decreases with the increasing Li concentration. The diffusion coefficient near LiC12 changes greatly because of the structural phase transition. The simulation results show visual images of the atomic configuration LixC6. The results of the study provide data for Li modelling of Li electrode deformation.
[1] Kanno R, Takeda Y, Ichikawa T, et al. Carbon as negative electrodes in lithium secondary cells [J]. Journal of Power Sources, 1989, 26(3): 535-543.
[2] Mohri M, Yanagisawa N, Tajima Y, et al. Rechargeable lithium battery based on pyrolytic carbon as a negative electrode [J]. Journal of Power Sources, 1989, 26(3): 545-551.
[3] Nazri G A, Pistoia G. Lithium batteries: science and technology [M]. New York: Springer, 2003: 113-115.
[4] Agarwal R R. Phase changes and diffusivity in the carbon-lithium electrode [J]. Journal of Power Sources, 1989, 25(2): 151-158.
[5] Bhandakkar T K, Gao H. Cohesive modeling of crack nucleation in a cylindrical electrode under axisymmetric diffusion induced stresses [J]. International Journal of Solids and Structures, 2011, 48(16/17): 2304-2309.
[6] Song Y C, Lu B, Ji X, et al. Diffusion induced stresses in cylindrical lithium-ion batteries: analytical solutions and design insights [J]. Journal of the Electrochemical Society, 2012, 159(12): A2060-A2068.
[7] Guyomard D, Tarascon J M. Li metal-free rechargeable LiMn2O4/carbon cells: their understanding and optimization [J]. Journal of the Electrochemical Society, 1992, 139(4): 937-948.
[8] Levi M D, Aurbach D. The mechanism of lithium intercalation in graphite film electrodes in aprotic media. Part 1. High resolution slow scan rate cyclic voltammetric studies and
modeling [J]. Journal of Electroanalytical Chemistry, 1997, 421(1): 79-88.
[9] Guo Q, Subramanian V R, Weidner J W, et al. Estimation of diffusion coefficient of lithium in carbon using AC impedance technique [J]. Journal of the Electrochemical Society, 2002,
149(3): A307-A318.
[10] Yu P, Popov B N, Ritter J A, et al. Determination of the lithium ion diffusion coefficient in graphite [J]. Journal of the Electrochemical Society, 1999, 146(1): 8-14.
[11] Zhou L J, Hou Z F, Wu L M. First-principles study of lithium adsorption and diffusion on graphene with point defects [J]. The Journal of Physical Chemistry C, 2012, 116(41): 21780-
21787.
[12] Persson K, Sethuraman V A, Hardwick L J, et al. Lithium diffusion in graphitic carbon [J]. The Journal of Physical Chemistry Letters, 2010, 1(8): 1176-1180.
[13] 黄可龙, 王兆翔, 刘素琴. 锂离子电池原理与关键技术[M]. 北京: 化学工业出版社, 2010: 137-142.
[14] Brenner D W, Shenderova O A, Harrison J A, et al. A second-generation reactive empirical bond order (REBO) potential energy expression for hydrocarbons [J]. Journal of Physics:
Condensed Matter, 2002, 14(4): 783-802.
[15] Shimizu A, Tachikawa H. The dynamics on migrations of Li+ ion and Li atom at 700 K around the circumference of graphite cluster model: a direct molecular dynamics study [J]. Chemical Physics Letters, 2001, 339(1): 110-116.
[16] Rappe A K, Casewit C J, Colwell K S, et al. UFF, a full periodic table force field for molecular mechanics and molecular dynamics simulations [J]. Journal of the American Chemical Society, 1992, 114(25): 10024-10035.
[17] Song M K, Hong S D, No K T. The structure of lithium intercalated graphite using an effective atomic charge of lithium [J]. Journal of the Electrochemical Society, 2001, 148(10):
A1159-A1163.
[18] Chakraborti N, Jayakanth R, Das S, et al. Evolutionary and genetic algorithms applied to Li+—C system: calculations using differential evolution and particle swarm algorithm [J].
Journal of Phase Equilibria and Diffusion, 2007, 28(2): 140-149.
[19] Nos´e S. A unified formulation of the constant temperature molecular dynamics methods [J]. The Journal of Chemical Physics, 1984, 81(1): 511-519.
[20] Hoover W G. Canonical dynamics: equilibrium phase-space distributions [J]. Physical Review A, 1985, 31(3): 1695-1697.
[21] Parrinello M, Rahman A. Polymorphic transitions in single crystals: a new molecular dynamics method [J]. Journal of Applied Physics, 1981, 52(12): 7182-7190.
[22] Kobayashi H, Mark B L, Turin W. Probability, random processes, and statistical analysis [M]. Cambridge: Cambridge University Press, 2012: 498-500.
[23] Toyoura K, Koyama Y, Kuwabara A, et al. First-principles approach to chemical diffusion of lithium atoms in a graphite intercalation compound [J]. Physical Review B, 2008, 78(21):
214303.
[24] Persson K, Hinuma Y, Meng Y S, et al. Thermodynamic and kinetic properties of the Li-graphite system from first-principles calculations [J]. Physical Review B, 2010, 82(12): 125416.