1. What is a Resistivity Calculator?

Definition: This calculator determines the resistivity of a semiconductor material based on charge carrier properties.

Purpose: It helps materials scientists and electrical engineers analyze semiconductor characteristics for device design.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \rho \) — Resistivity (Ohm-meters, Ω·m)
• \( q \) — Charge of carrier (Coulombs, C)
• \( \mu \) — Carrier mobility (m²/V·s)
• \( N \) — Dopant concentration (per cubic meter, m⁻³)

Explanation: Resistivity is inversely proportional to the product of charge, mobility, and carrier concentration.

3. Importance of Resistivity Calculation

Details: Resistivity determines how strongly a material opposes electric current flow, crucial for semiconductor device performance.

4. Using the Calculator

Tips: Enter the charge (default 1.602×10⁻¹⁹ C for electrons), mobility (default 0.05 m²/V·s), and concentration (default 1×10²¹ m⁻³). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical electron charge value?
A: For electrons, q = 1.602×10⁻¹⁹ C. For holes, use positive value of same magnitude.

Q2: What are typical mobility values?
A: Silicon electron mobility ≈ 0.14 m²/V·s, hole mobility ≈ 0.05 m²/V·s (varies with doping).

Q3: How does concentration affect resistivity?
A: Higher doping concentration decreases resistivity as more charge carriers are available.

Q4: What units should I use?
A: Use consistent SI units - Coulombs for charge, m²/V·s for mobility, and m⁻³ for concentration.

Q5: Can I calculate concentration from resistivity?
A: Yes, rearrange the formula: \( N = \frac{1}{q \times \mu \times \rho} \)