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         Carbon nanotubes (CNTs) are a new type of carbon material with very broad prospects because of to their unique structure and excellent physical and chemical properties.¡¾1-4¡¿ In particular, their excellent mechanical properties have aroused widespread interest in the scientific community, and some progress has been made in applying them to toughen materials.¡¾5-13¡¿ The structure of boron nitride nanotubes (BNNTs) is very similar to that of carbon nanotubes. Their B and N atoms have shown   hybridized orbitals and form hexagonal planar net structures like graphite. Each B or N atom allows a  electron to develop a conjugated   bond, where two running  electronics on the plane are stemmed from each BN unit. As a result, BNNTs have structures that are similar to CNTs and exhibit many similar physical and chemical properties. In terms of different BNNTs layers, they can also be divided into single-walled tubes and multi-walled tube structures. In particular, BNNTs are made up of atoms of boron and nitrogen that are more oxidation resistant and are expected to have better mechanical and electronic properties than their well-known cousins, carbon nanotubes. Far more resistant to oxidation than CNTs, BNNTs are suited to high-temperature applications in which carbon nanostructures would burn.¡¾14¡¿ They are expected to be semiconducting, with predictable electronic properties independent of tube diameter and number of layers, unlike tubes made of carbon.¡¾15¡¿
       Compared with CNTs, BNNTs have shown great advantage in improving mechanical properties at high temperature, thermal stability, oxidation resistance, and so on. Super composite materials prepared with BNNTs, such as superstrength composite materials and great conductive ceramic composite materials, can be subjected to high temperature and other harsh environmental variables, and can be widely used in metallurgical, chemical, aerospace, machinery and other fields. Studies of the electronic structure of BNNTs have been carried out,¡¾16-21¡¿ but reports of their mechanical properties have been few. The compression characteristics of (5, 5) SWBNNTs were studied by Moon and Hwang.¡¾22¡¿ Shen compared the tensile and compressive properties of BN nanotubes and nanopeapods.¡¾23¡¿ In a recent research study, Griebel, Hamaekers and Heber examined the Young¡¯s modulus of (6,m) boron nitride nanotubes with vacancy and functionalization defects.¡¾24¡¿
         Similar to the situation when studying CNT composites, to obtain BNNT composites with better mechanical properties, it is necessary to discover an effective form of chemical treatment that achieves the best graft of the functional

group in terms of variety, quantity, and location. We have already reported the effects of grafted carboxyl and amine on the elastic properties of single-walled carbon nanotubes (SWCNTs).¡¾25,26¡¿ Based on these works, we further investigate the effects of grafted carboxyl on the elastic moduli of armchair and zigzag SWBNNTs. The results show that the grafting has a greater impact on zigzag SWBNNTs, and the grafted zigzag SWBNNTs have more stable elastic moduli when more grafts are applied. The opposite occurs with the armchair SWBNNTs: there is a smaller grafting effect and greater fluctuations in the moduli as the graft quantity increases. The reasons for this difference are analyzed in terms of the isoline structure of the deformation electron density and bond-length variation of the grafted BNNTs.

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