Ti<sub>2</sub>CO<sub>2</sub> Nanotubes with Negative Strain Energies and Tunable Band Gaps Predicted from First-Principles Calculations

Abstract

MXenes, a series of two-dimensional (2D) layered early transition metal carbide, nitride, and carbonitride, have been prepared by exfoliating MAX phases recently. In addition to 2D planar MXene, one-dimensional tubular formsMXene nanotubesare also expected to form. Herein, we design atomic models for Ti<sub>2</sub>C as well as Ti<sub>2</sub>CO<sub>2</sub> nanotubes in the 1–4 nm diameter range and investigate their basic properties through density functional theory (DFT). It is shown that though the strain energy of Ti<sub>2</sub>C nanotubes are always positive, Ti<sub>2</sub>CO<sub>2</sub> nanotubes have negative strain energies when diameter beyond 2.5 nm, indicating that they could possibly folded from 2D Ti<sub>2</sub>CO<sub>2</sub> nanosheets. Moreover, the band gap of Ti<sub>2</sub>CO<sub>2</sub> nanotubes decrease with the growing diameter and the maximum band gap can reach up to 1.1 eV, over 3 times that of their planar form. Thus, tunable band gaps provide strong evidence for the effectiveness of nanostructuring on the electronic properties of Ti<sub>2</sub>CO<sub>2</sub> nanotubes

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