We performed first principles calculations of Stone-Wales (SW) defects in armchair edge (5,5) carbon nanotube (CNT) by the density functional theory (DFT). Stone Wales (SW) defect is one kind of topological defect on the CNT. There are two kind of SW defect on the armchair edge (5,5) CNT, such as longitudinal and circumference SW defect. Barrier energy in the formation of SW defects is a good consideration to become one of parameter in controlling SW defects on the CNT. Our calculation results that a longitudinal SW defect is more stable than circumference SW defect. However, the barrier energy of circumference SW defect is lower than another one. We applied Climbing Image Nudge Elastic Band (CI-NEB) method to find minimum energy path (MEP) and barrier energy for SW defect transitions. We also found that in the case of circumference SW defect, armchair edge (5,5) CNT become semiconductor with the band gap of 0.0544 eV.

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