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Phys. Rev. B 75, 041305(R) (2007) [4 pages]

First-principles study of the Young’s modulus of Si ⟨001⟩ nanowires

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Byeongchan Lee and Robert E. Rudd*
Lawrence Livermore National Laboratory, University of California, L-415, Livermore, California 94551, USA

Received 3 November 2006; published 16 January 2007

We report the results of first-principles density functional theory calculations of the Young’s modulus and other mechanical properties of hydrogen-passivated Si ⟨001⟩ anowires. The nanowires are taken to have predominantly {100} surfaces, with small {110} facets. The Young’s modulus, the equilibrium length, and the residual stress of a series of prismatic wires are found to have a size dependence that scales like the surface area to volume ratio for all but the smallest wires. We analyze the physical origin of the size dependence and compare the results to two existing models.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.75.041305
DOI:
10.1103/PhysRevB.75.041305
PACS:
68.35.Gy, 62.25.+g, 85.85.+j

*Electronic address: robert.rudd@llnl.gov