Mathematical Modelling for Joining Boron Nitride Graphene with Other BN Nanostructures

Nawa A Alshammari

doi:10.1155/2020/2394037

Abstract

Boron nitride (BN) nanomaterials such as boron nitride graphenes, boron nitride nanotubes, and boron nitride nanocones are attracting attention among the most promising nanomaterials due to their physical, chemical, and electronic properties when compared to other nanomaterials. BN nanomaterials suggest many exciting potential applications in various fields. Joining between BN nanostructures gives new enhanced structures with outstanding properties and potential applications for design of probes for scanning tunnelling microscopy and other nanoscale devices. This paper uses calculus of variations to model the joining between BN graphene with other BN nanostructures: BNNTs and BNNCs. Furthermore, during the joining between these BN nanostructures, this research examines two models which are depending on the curvature of the join profile. For the first case, Model I refers to when the join profile only includes positive curvature where for the second case, Model II is considered for both positive and negative curvatures. Thus, the purpose of this research is to formulate the basic underlying structure to present simple models based on joining BN graphene to other BN nanostructures.

Highlights

Materials in nanoscale have attracted research in different scientific fields because of their chemical, physical, and electronic properties
Many forms of boron nitride in nanoscale have been reported in the previous literature such as boron nitride nanotubes (BNNTs), boron nitride graphene (BN graphene), boron nitride nanocones (BNNCs), and boron nitride fullerene (BN fullerene) [3]
The resulted improved nanostructures could be useful for the design of probes for scanning tunnelling microscopy and other nanoscale devices

Summary

Introduction

Materials in nanoscale have attracted research in different scientific fields because of their chemical, physical, and electronic properties. BNNTs were first discovered in 1994 [4] and contain a tubular structure as carbon nanotubes with replacing carbon atoms by boron and nitrogen atoms arranging in a hexagonal lattice. BNNTs have gained significant attention in recent years because of their interesting properties that are not available in other nanomaterials. While they are structurally close to carbon nanotubes, BNNTs have completely different physical properties. BNNTs have mechanical, thermal, electrical, and chemical properties like high tensile stiffness and high thermal conductivity. Their electronic properties are independent of their chirality and radii of the tube [4,5,6]

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