We report the comparative study of electronic and optical properties of (6,1) SWCNT from GGA and DFT-1/2 methods. (6,1) SWCNT is a low-bandgap semiconductor, which falls within (n1−n2)/3≠ integer. The calculated bandgaps are 0.371 eV and 0.462 eV from GGA and DFT-1/2, respectively. Thus, DFT-1/2 enhanced the electronic bandgap by 24.52%. From both GGA and DFT-1/2 approaches (6,1) SWCNT exhibits an indirect bandgap along Γ−Δ symmetry. However, the percentage change in direct–indirect bandgap is negligibly small, i.e., 4.1% and 3.7% from GGA and DFT-1/2, respectively. The refractive index measured along x-axis (nx) approaches unity, indicating transparent behaviour, while that along z-axis (nz) goes as high as ∼3.82 for photon energy 0.0−0.15 eV, exhibiting opaque behaviour. Again, the value of nz drops below unity at photon energy ∼0.18 eV and again approaches ∼1 for higher energy ranges. The optical absorption is highly anisotropic and active within the infrared region.