“…As a result, a direct comparison cannot be achieved between the shape or size-dependence of obtained in the present simulations and the available experimental data. In the meantime, first-principles calculations [12,14,18,[26][27][28] (for ultra-thin nanostructures), molecular dynamics simulations (MDSs) [19,20,30,31] and a continuum model [32] have been efficiently used as an alternative way to investigate the size effect or shape effect on piezoelectricity of small pristine nanostructures that cannot be easily synthesized experimentally. We, therefore, form comparison with the previous simulations and theoretical models in predicting the size and shape effects on nano-piezoelectricity.…”