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A simple macroscopic continuum elasticity theory (CET) is used to calculate the structure relaxation of a single-wall carbon nanotube (SWNT), an analytic formula is obtained. We also expand an atomic scale three-parameter empirical model (Lenosky et al., Nature 355 (1992) 333) in order to correctly describe the bond-length change effects. The structure relaxation of SWNT expected by the model is in...
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