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Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 20 > No. 1

 
   

Optimizing Energy Configurations in the Formation of Hybrid Carbon Nanocone–Nanotorus Structures

PP: 227-234
doi:10.18576/amis/200115        
Author(s)
Nawa A. Alshammari,
Abstract
The production process of hybrid nanostructures such as cones and torii facilitates the development of advanced nanoscale technologies. This study minimizes two curvature-dependent energies to model the ideal junction between a nanocone and a nanotorus. We propose a geometric and analytical framework to construct such junctions along with computations in order to demonstrate the alignment of boundaries and gradients. The results indicate a physically significant and energetically advantageous local connection, offering insights into the creation of hybrid carbon nanostructures for prospective nanoscale applications. In particular, we obtain two continuous smooth transitions in 2D and 3D scenarios among the proposed nanostructures resulted from elastic energy and helicoid surface respectively. These approaches can be extended to include other nanostructures, thereby increasing the potential use of nanoscale devices in these fields such as nanofluidics and nanoelectronics.

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