Joining between Boron Nitride Nanocones and Nanotubes

Nawa Alshammari

doi:10.1155/2020/5631684

Abstract

Different nanostructures of boron nitride have been observed experimentally such as fullerenes, tubes, cones, and graphene. They have received much attention due to their physical, chemical, and electronic properties that lead them to numerous applications in many nanoscale devices. Joining between nanostructures gives rise to new structures with outstanding properties and potential applications for the design of probes for scanning tunneling microscopy and other nanoscale devices, as carriers for drug delivery and liquid separation. This paper utilizes calculus of variations to model the joining between two types of BN nanostructures, namely, BN nanotubes and BN nanocones. Based on the curvature of the join curve, the joining of these structures can be divided into two models. Model I refers to when the join profile includes positive curvature only, and Model II contains both positive and negative curvatures. The main goal here is to formulate the basic underlying structure from which any such small perturbations can be viewed as departures from an ideal model. For this scenario of joining, we successfully present simple models based on joining BN nanotubes to BN nanocones with five different angles of the cone.

Highlights

Boron nitride (BN) nanostructures have been the focus of extensive research area in current years
Following [9,10,11,12,13,14], this paper extends this model to determine the joining curve between two boron nitride nanostructures: BN nanotubes and BN nanocones
The same process is used to the region of positive curvature where this region is bounded by the point of the curvature κ = 0; using equation (10), we find θc Applying the parameter variable φ as defined by equation

Summary

Introduction

Boron nitride (BN) nanostructures have been the focus of extensive research area in current years. They have significant attention in recent years due to their different physical properties They have high thermal conductivity, mechanical strength with an elastic modulus of 1.2 TPa, and wide band gap of about 5.5 eV with exceptional radiation shielding compared to carbon NTs [3, 4]. Following [9,10,11,12,13,14], this paper extends this model to determine the joining curve between two boron nitride nanostructures: BN nanotubes and BN nanocones. We comment that this model does not take into account the chemical issues, such as positions of atoms and bonds. Applying the delta variational operator and integration by parts twice, the standard equation can be written as

Model I

Model II

Numerical Results

Conclusion