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CNT Bands Learning Materials

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By completing the CNTBands, users will be able to a) understand the relationship between system geometry (the roll vector of a nanotube or crystallographic direction of a nano-ribbon) and its band structure and b) the importance of employing screw symmetry in calculations of electronic...

CNT Bands Problems

4 low- to medium-difficulty problems with solutions: CNTBands_Problems__Solutions.pdf

CNT Bands Challenge Problem

Challenge It is important to have a quantitative model describing how the interaction of a CNT with its environment (e.g. supporting substrate, other nanotubes, polymer matrix, etc.) influences its ability to conduct current. One possible mathematical formulation of this physical problem can...

Inter-Valley vs. Intra-Valley Scattering in Zigzag-Edge Graphene Nano-Ribbons

Tight-binding modeling of the current in zigzag-edge graphene nano-ribbons indicates that 120-degrees turns of the ribbon have virtually no effect on the ballistic transmission within single-band conduction window. At the same time 60-degrees turns are highly reflective. Figures below...

GNR Challenge Problem

So far all experimentally observed graphene nano-ribbons (GNRs) exhibited semiconducting behavior. However, simple combination of nearest-neighbor pi-orbital tight-binding and Hubbard models suggests that the nature of the band gaps in GNRs is different. In particular zigzag-edge GNRs (Z-GNRs)...

Verification of the Validity of the CNTBands Tool

According to experimental data the band gap of semiconducting nanotube is inversely proportional to its radius. The simple analytical model also explained in solution for homework Problem 3 indicates that the prefactor V in this dependence is the absolute value of the nearest neighbor...

Key Electronic Properties of Carbon Nano Tubes

Download: Key_Properties_CNT.pdf

KeyPropertiesGNR

Brief explanation of key electronic properties of graphene nano-ribbons. Download: Key_Electronic_Properties_GNR.pdf