Strong dependency of lithium diffusion on mechanical constraints in high-capacity Li-ion battery electrodes

The effect of external constraints on Li diffusion in high-capacity Li-ion battery electrodes is investigated using a coupled finite deformation theory. It is found that thin-film electrodes on rigid substrates experience much slower diffusion rates compared with free-standing films with the same material properties and geometric dimensions. More importantly, the study reveals that mechanical driving forces tend to retard diffusion in highly-constrained thin films when lithiation-induced softening is considered, in contrast to the fact that mechanical driving forces always enhance diffusion when deformation is fully elastic. The results provide further proof that nano-particles are a better design option for nextgeneration alloy-based electrodes compared with thin films.

[1]  W. Shyy,et al.  Numerical Simulation of Intercalation-Induced Stress in Li-Ion Battery Electrode Particles , 2007 .

[2]  Zhigang Suo,et al.  Large Plastic Deformation in High-Capacity Lithium-Ion Batteries Caused by Charge and Discharge , 2011 .

[3]  Wei Shyy,et al.  Erratum: Numerical Simulation of Intercalation-Induced Stress in Li-Ion Battery Electrode Particles [ J. Electrochem. Soc. , 154 , A910 (2007) ] , 2007 .

[4]  Chien H. Wu The role of Eshelby stress in composition-generated and stress-assisted diffusion , 2001 .

[5]  John W. Cahn,et al.  Overview no. 41 The interactions of composition and stress in crystalline solids , 1985 .

[6]  Venkat Srinivasan,et al.  In situ measurements of stress evolution in silicon thin films during electrochemical lithiation and delithiation , 2010, 1108.0647.

[7]  Y. Gao,et al.  Strong stress-enhanced diffusion in amorphous lithium alloy nanowire electrodes , 2011 .

[8]  Yue Qi,et al.  Elastic softening of amorphous and crystalline Li–Si Phases with increasing Li concentration: A first-principles study , 2010 .

[9]  Wei-Jun Zhang A review of the electrochemical performance of alloy anodes for lithium-ion batteries , 2011 .

[10]  Byoungwoo Kang,et al.  Battery materials for ultrafast charging and discharging , 2009, Nature.

[11]  Yi Cui,et al.  Size-dependent fracture of Si nanowire battery anodes , 2011 .

[12]  J. Rogers,et al.  Arrays of sealed silicon nanotubes as anodes for lithium ion batteries. , 2010, Nano letters.

[13]  G. Yushin,et al.  High-performance lithium-ion anodes using a hierarchical bottom-up approach. , 2010, Nature materials.

[14]  Allan F. Bower,et al.  A simple finite element model of diffusion, finite deformation, plasticity and fracture in lithium ion insertion electrode materials , 2012 .

[15]  R. McMeeking,et al.  A Linearized Model for Lithium Ion Batteries and Maps for their Performance and Failure , 2012 .

[16]  V Srinivasan,et al.  Real-time measurement of stress and damage evolution during initial lithiation of crystalline silicon. , 2011, Physical review letters.

[17]  J. B. Ratchford,et al.  Effects of composition-dependent modulus, finite concentration and boundary constraint on Li-ion diffusion and stresses in a bilayer Cu-coated Si nano-anode , 2012 .

[18]  N. Imanishi,et al.  Li-ion diffusion in amorphous Si films prepared by RF magnetron sputtering: A comparison of using liquid and polymer electrolytes , 2010 .

[19]  Candace K. Chan,et al.  Crystalline-amorphous core-shell silicon nanowires for high capacity and high current battery electrodes. , 2009, Nano letters.

[20]  Yi Cui,et al.  Silicon–Carbon Nanotube Coaxial Sponge as Li‐Ion Anodes with High Areal Capacity , 2011 .

[21]  Yi Cui,et al.  Impedance Analysis of Silicon Nanowire Lithium Ion Battery Anodes , 2009 .

[22]  E. M. Pell,et al.  Diffusion of Li in Si at High T and the Isotope Effect , 1960 .

[23]  Candace K. Chan,et al.  High-performance lithium battery anodes using silicon nanowires. , 2008, Nature nanotechnology.

[24]  Akhtar S. Khan,et al.  Continuum theory of plasticity , 1995 .

[25]  John Newman,et al.  Stress generation and fracture in lithium insertion materials , 2005 .

[26]  T. D. Hatchard,et al.  Reaction of Li with Alloy Thin Films Studied by In Situ AFM , 2003 .

[27]  Jing Xu,et al.  Determination of the diffusion coefficient of lithium ions in nano-Si , 2009 .

[28]  Allan F. Bower,et al.  A finite strain model of stress, diffusion, plastic flow, and electrochemical reactions in a lithium-ion half-cell , 2011 .

[29]  Kevin W. Eberman,et al.  Colossal Reversible Volume Changes in Lithium Alloys , 2001 .

[30]  Xingcheng Xiao,et al.  Thickness effects on the lithiation of amorphous silicon thin films , 2011 .

[31]  J. W. Cahn,et al.  The Interactions of Composition and Stress in Crystalline Solids , 1999 .

[32]  V. Shenoy,et al.  The mixing mechanism during lithiation of Si negative electrode in Li-ion batteries: an ab initio molecular dynamics study. , 2011, Nano letters.