研究目的
To investigate the electronic band gaps of semiconducting single-walled carbon nanotubes (SWNTs) using semi-empirical tight binding and density functional (DFT) based ab-initio methods.
研究成果
The electronic band gaps computed using semiempirical EH-SCF and SK-SCF methods are found to be within ~5% to those computed using DFT-based LDA-1/2 and TB09 meta-GGA methods. The results suggest that self-consistent semi-empirical methods can provide accuracy comparable to more computationally expensive ab-intio DFT based methods.
研究不足
The study acknowledges the computational challenges and the need for careful calculations to obtain converged results, especially with GW or hybrid functional schemes. The semi-empirical methods, while less computationally expensive, may not fully account for many-body effects.
1:Experimental Design and Method Selection:
The study employs semi-empirical tight binding (EH-SCF and SK-SCF) and DFT-based (LDA-1/2 and TB09 meta-GGA) methods for calculating electronic band gaps of SWNTs.
2:Sample Selection and Data Sources:
The study considers (n, m) chiral SWNTs with reported experimental optical gaps, 'metallic' zigzag SWNTs (9, 0), (12, 0), and (15, 0), pairs of SWNTs with same diameters but different chiral angles, and (n, 0) zigzag SWNTs with diameter more than
3:0 nm and ? ?n List of Experimental Equipment and Materials:
The calculations are performed using Atomistix Toolkit with Cerda-Hückel basis set parameters for EH-SCF model and Slater-Koster type parameters from Hotbit consortium for SK-SCF model.
4:Experimental Procedures and Operational Workflow:
The electronic band gaps are calculated for different sets of SWNTs using the mentioned methods.
5:Data Analysis Methods:
The band gap estimates are compared with experimental values and analyzed for trends and accuracy.
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