Abstract
This study investigates the mechanical properties of cubic silicon nanoparticles with side lengths ranging from 2.7 to 16.3 nm using molecular dynamics (MD) simulation with parallel computing technique. The results reveal that the surface energy of the particles increases significantly as the particle size decreases. Furthermore, having passed the point of maximum compressive load, the phase transformation region of the particles gradually transfers from the core to the surface. The small volume of the current nanoparticles suppresses the nucleation of dislocations, and as a result, the maximum strength and Young’s modulus values of all but the smallest of the current nanoparticles are greater than the corresponding values in bulk silicon. Finally, it is found that the silicon nanoparticles with a side length of 10.86 nm exhibit the greatest maximum strength (24 GPa). In nanoparticles with shorter side lengths, the maximum strength decreases significantly as the volume of the nanoparticle is reduced.
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References
Apai G, Hamiton JF, Stohr J, Thompson A (1979) Extended X-ray-absorption fine structure of small Cu and Ni clusters: binding-energy and bond-length changes with cluster size. Phys Rev Lett 43:165–169
Chen Y (2006) Local stress and heat flux in atomistic systems involving three-body forces. J Chem Phys 124:054113
Cheong WCD, Zhang LC (2000) Molecular dynamics simulation of phase transformations in silicon monocrystals due to nano-indentation. Nanotechnology 11:173–180
Diao J, Gall K, Dunn ML (2004) Atomistic simulation of the structure and elastic properties of gold nanowires. J Mech Phys Solids 52:1935–1962
Fang KC, Weng CI, Ju SP (2006) An investigation into the structural features and thermal conductivity of silicon nanoparticles using molecular dynamics simulations. Nanotechnology 17:3909–3914
Frenkel D, Smit B (1996) Understanding molecular simulation from algorithms to applications. Academic, New York
Gerberich WW, Mook WM, Perrey CR, Carter CB, Baskes MI, Mukherjee R, Gidwani A, Heberlein J, McMurry PH, Girshick SL (2003) Superhard silicon nanospheres. J Mech Phys Solids 51:979–992
Huffaker DL, Park G, Zou Z, Schekin OB, Deppe DG (1998) 1.3 μm room-temperature GaAs-based quantum-dot laser. Appl Phys Lett 73:2564–2566
Khitun A, Liu J, Wang KL (2004) On the modeling of lattice thermal conductivity in semiconductor quantum dot superlattices. Appl Phys Lett 84:1762–1764
Lazarenkova O, Balandin A (2001) Miniband formation in a quantum dot crystal. J Appl Phys 89:5509–5515
Lenosky TJ, Kress JD, Kwon I, Voter AF, Edwards B (1997) Highly optimized tight-binding model of silicon. Phys Rev B 55(3):1528–1544
Lin JL, Tang YS, Wang KL, Radetic T, Gronsky R (1999) Raman scattering from a self-organized Ge dot superlattice. Appl Phys Lett 74:1863–1865
Nye JF (1985) Physical properties of crystals: their representation by tensors and matrices. Oxford University Press, New York
Schaefer DM, Patil A, Andres RP, Reifenberger R (1995) Elastic properties of individual nanometer-size supported gold clusters. Phys Rev B 51(8):5322–5332
Stillinger FH, Weber TA (1985) Computer simulation of local order in condensed phases of silicon. Phys Rev B 31:5262–5271
Wortman JJ, Evans RA (1965) Young’s modulus, shear modulus, and poisson’s ratio in silicon and germanium. J Appl Phys 36:153–156
Zachariah MR, Carrier MJ, Estela BB (1996) Properties of silicon nanoparticles: a molecular dynamics study. J Phys Chem 100:14856–14864
Acknowledgments
The authors gratefully acknowledge the financial support provided to this study by the National Science Council of the Republic of China under Grant No. NSC94-2212-E-006-001.
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Fang, KC., Weng, CI. & Ju, SP. An investigation into the mechanical properties of silicon nanoparticles using molecular dynamics simulations with parallel computing. J Nanopart Res 11, 581–588 (2009). https://doi.org/10.1007/s11051-008-9396-x
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DOI: https://doi.org/10.1007/s11051-008-9396-x