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Carbon Nanotube (CNT) Chiral Vector Indices (n, m) Diameter & Bandgap Calculator

Easily calculate and compute carbon nanotube (cnt) chiral vector indices (n, m) diameter & bandgap calculator with accurate equations, live formulas, and expert guidance.

Non-negative integer (e.g., (10, 0) zigzag, (10, 10) armchair).

Non-negative integer with m <= n.

Calculated Result
1.04 nm

Nanotube Diameter

Nanotube Diameter

1.04 nm

Nanotube Diameter Nm

1.04

Chiral Angle Degrees

19.1

Nanotube Circumference Nm

3.25

Electronic Bandgap Ev

0.801

1.04 — nm

Calculation Breakdown

  1. Applied FormulaDetermines Single-Walled Carbon Nanotube (SWCNT) geometric diameter, chiral angle, and metallic vs semiconducting bandgap from chiral indices (n, m).d_t = \frac{a}{\pi} \sqrt{n^2 + nm + m^2}, \quad E_g = \frac{2 \gamma_0 a_{cc}}{d_t} \approx \frac{0.83}{d_t} \; \text{eV}

CNT Chiral Indices & Bandgap Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Nanotube Diameter

What Is the Carbon Nanotube (CNT) Chiral Vector Indices (n, m) Diameter & Bandgap Calculator?

This tool computes carbon nanotube (cnt) chiral vector indices (n, m) diameter & bandgap calculator with high precision arithmetic.

How Does the Carbon Nanotube (CNT) Chiral Vector Indices (n, m) Diameter & Bandgap Calculator Work?

Determines Single-Walled Carbon Nanotube (SWCNT) geometric diameter, chiral angle, and metallic vs semiconducting bandgap from chiral indices (n, m).

Carbon Nanotube (CNT) Chiral Vector Indices (n, m) Diameter & Bandgap Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

dt=aπn2+nm+m2,Eg=2γ0accdt≈0.83dt  eVd_t = \frac{a}{\pi} \sqrt{n^2 + nm + m^2}, \quad E_g = \frac{2 \gamma_0 a_{cc}}{d_t} \approx \frac{0.83}{d_t} \; \text{eV}

Determines Single-Walled Carbon Nanotube (SWCNT) geometric diameter, chiral angle, and metallic vs semiconducting bandgap from chiral indices (n, m).

How to Use the Carbon Nanotube (CNT) Chiral Vector Indices (n, m) Diameter & Bandgap Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Carbon Nanotube (CNT) Chiral Vector Indices (n, m) Diameter & Bandgap Calculator Example

Input Values:

chiralIndexN:10
chiralIndexM:5
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required nm.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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