4.7 Article

Size-dependent fracture of Si nanowire battery anodes

Journal

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 59, Issue 9, Pages 1717-1730

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2011.06.003

Keywords

Lithiation/delithiation; Large deformation; Fracture; Strain energy release rate; Critical size

Funding

  1. Office of Science, Office of Basic Energy Sciences, of the US Department of Energy [DE-FG02-04ER46163]
  2. Korean Government (MEST) [NRF-2010-0029031]
  3. World Class University [R-31-2008-000-10055-0]
  4. Office of Vehicle Technologies of the U.S. Department of Energy under Batteries for Advanced Transportation Technologies (BATT) [DE-AC02-05CH11231, 6951379]
  5. Ministry of Education, Science & Technology (MoST), Republic of Korea [N01110032] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
  6. National Research Foundation of Korea [R31-2011-000-10055-0] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

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We use a unique transmission electron microscope (TEM) technique to show that Si nanowires (NWs) with diameters in the range of a few hundred nanometers can be fully lithiated and delithiated without fracture, in spite of the large volume changes that occur in this process. By analyzing the stresses associated with lithiation and delithiation we conclude that the process does not occur by the growth of discrete crystalline phases; rather it occurs by amorphization of the Si NWs followed by diffusion of Li into the structure. By accounting for the large deformation associated with this process and by including the effects of pressure gradients on the diffusion of Li, we show that Si NWs with diameters less than about 300 nm could not fracture even if pre-existing cracks were present in the NW. These predictions appear to be in good agreement with the experiment. Published by Elsevier Ltd.

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