Mobility Calculator
μ from Hall, Conductivity, Scattering
Enter conductivity, Hall voltage, or scattering time to compute drift mobility.
Mobility Results
Drift Mobility μ = — cm²/V·s
Mean Free Path λ = — nm
Diffusion Coefficient D = — cm²/s
The Mobility Calculator is a scientifically precise, interactive tool that computes **carrier mobility (μ)** using **conductivity**, **Hall effect**, and **scattering time** methods. It applies **Drude model**, **Einstein relation**, and **Hall mobility μ_H = R_H σ**. Ideal for **PEDOT:PSS**, **polyaniline**, **CNT composites**, and **smart mulch sensors**. Predict charge transport efficiency with lab accuracy. Explore conductive polymers at Agri Care Hub.
What is Mobility?
**Mobility (μ)** is the drift velocity per unit electric field:
Units: cm²/V·s. High μ → fast response. Learn more on Mobility Wikipedia.
Scientific Foundation: Drude & Hall
Conductivity:
Hall mobility:
Scattering:
Einstein:
Importance of Mobility
Critical for:
- Sensors: Response time
- Transistors: Switching speed
- Displays: Brightness
- Smart mulch: Signal speed
In agriculture, **high μ** enables **real-time soil monitoring** — a focus at Agri Care Hub.
User Guidelines
Steps:
- Select method
- Enter σ & n, or R_H & σ, or τ & m*
- Click “Calculate Mobility”
Use Hall for accurate μ
When and Why to Use
Use when you need to:
- Design fast PANI sensor
- Predict CNT composite speed
- Optimize PEDOT for OLED
- Teach transport physics
- Develop smart mulch electronics
Purpose of the Calculator
To make **charge transport predictable**. It links **micro to macro** properties.
Example: PEDOT:PSS
- σ = 1 S/cm, n = 10²⁰ cm⁻³
- μ ≈ 0.625 cm²/V·s
Typical Values
- PEDOT:PSS: 0.1–10 cm²/V·s
- PANI: 0.01–1 cm²/V·s
- CNT: 10⁴–10⁵ cm²/V·s
- Si: 100–1500 cm²/V·s
Applications in Agriculture
Mobility enables:
- Fast soil sensors
- Real-time irrigation
- Flexible crop monitors
- Biodegradable electronics
Learn more at Agri Care Hub.
Scientific Validation
Based on:
- Drude (1900)
- Hall (1879)
- Ashcroft & Mermin
- Mobility Wikipedia
Benefits
- 100% accurate
- 3 methods
- Mobile-friendly
- No login
- SEO-optimized
Conclusion
The Mobility Calculator is your essential tool for charge transport design. From sensors to smart mulch, it delivers **speed and efficiency**. Start calculating μ today with Agri Care Hub.