Abstract
Computational modeling has much to offer in the booming nanomaterials design and nanomedicine, in that it supplies “virtue experimental methods” to investigate mechanisms of phenomena and even to design artificial structures in order to get desirable properties. This chapter presents theoretical frameworks of three most widely-used atomistic simulation methods: first-principles, tight binding and molecular dynamics, as well as some detailed demonstrations on their applications in nanomaterials modeling. In the discussion of first-principles method, the density functional theory with necessary mathematical treatments is highlighted. In the tight binding section, a detailed derivation of secular equation of tight binding method is presented and Slater-Koster two-center approximation is discussed. For molecular dynamics, the empirical potentials and integrators of motion equations of atoms are introduced.
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Chen, Z., Chen, R., Shan, B. (2014). Nanomaterial Design and Computational Modeling. In: Ge, Y., Li, S., Wang, S., Moore, R. (eds) Nanomedicine. Nanostructure Science and Technology. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-2140-5_4
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DOI: https://doi.org/10.1007/978-1-4614-2140-5_4
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