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Hall Coefficient Calculator — result sheet
Calculate Hall coefficient and a one-carrier density estimate from Hall voltage, sample thickness, current, and magnetic field.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: RH = VHt/(IB); one-carrier density n = 1/(|q|·|RH|).
The Hall coefficient relates transverse voltage to current, sample thickness, and magnetic field. The carrier-density result is the simple one-carrier interpretation and should not be treated as a complete material characterization.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Hall voltage magnitude — V; minimum 1.0E-12; maximum 1000000
- Sample thickness — m; minimum 1.0E-6; maximum 1000000
- Longitudinal current — A; minimum 1.0E-6; maximum 1000000
- Magnetic field magnitude — T; minimum 1.0E-6; maximum 1000000
- Carrier charge magnitude — C; minimum 1.0E-21; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Hall voltage magnitude | 0.002 |
| Sample thickness | 0.001 |
| Longitudinal current | 0.1 |
| Magnetic field magnitude | 0.5 |
| Carrier charge magnitude | 1.602176634E-19 |
Hall coefficient is 4.0×10⁻⁵ m³/C and the one-carrier density is about 1.56×10²³ m⁻³.
Assumptions and limits
- All magnitudes are positive, the sample thickness is uniform, and current density is approximately uniform.
- A single dominant carrier type is assumed for the density estimate.
- Contact geometry, multicarrier effects, anomalous Hall response, temperature dependence, and measurement uncertainty are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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