First-principles calculation of mechanical properties of Si <001> nanowires and comparison to nanomechanical theory

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We report the results of first-principles density functional theory calculations of the Young's modulus and other mechanical properties of hydrogen-passivated Si {l_angle}001{r_angle} nanowires. The nanowires are taken to have predominantly {l_brace}100{r_brace}surfaces, with small {l_brace}110{r_brace} facets according to the Wulff shape. The Young's modulus, the equilibrium length and the constrained residual stress of a series of prismatic beams of differing sizes are found to have size dependences that scale like the surface area to volume ratio for all but the smallest beam. The results are compared with a continuum model and the results of classical atomistic calculations based on an empirical ... continued below

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Lee, B & Rudd, R E October 19, 2006.

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We report the results of first-principles density functional theory calculations of the Young's modulus and other mechanical properties of hydrogen-passivated Si {l_angle}001{r_angle} nanowires. The nanowires are taken to have predominantly {l_brace}100{r_brace}surfaces, with small {l_brace}110{r_brace} facets according to the Wulff shape. The Young's modulus, the equilibrium length and the constrained residual stress of a series of prismatic beams of differing sizes are found to have size dependences that scale like the surface area to volume ratio for all but the smallest beam. The results are compared with a continuum model and the results of classical atomistic calculations based on an empirical potential. We attribute the size dependence to specific physical structures and interactions. In particular, the hydrogen interactions on the surface and the charge density variations within the beam are quantified and used both to parameterize the continuum model and to account for the discrepancies between the two models and the first-principles results.

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PDF-file: 16 pages; size: 0.5 Mbytes

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  • Journal Name: Physical Review B, vol. 75, N/A, May 21, 2007, pp. 195328; Journal Volume: 75

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  • Report No.: UCRL-JRNL-225464
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 909649
  • Archival Resource Key: ark:/67531/metadc889834

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  • October 19, 2006

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  • Sept. 22, 2016, 2:13 a.m.

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  • Nov. 28, 2016, 4:26 p.m.

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Lee, B & Rudd, R E. First-principles calculation of mechanical properties of Si <001> nanowires and comparison to nanomechanical theory, article, October 19, 2006; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc889834/: accessed November 12, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.