Semiconductor InGaAs Quantum Well Electron Mobility Calculator

Extract independently Hall-factor-corrected InGaAs drift mobility from Hall coefficient/sheet conductance, not existing GaN electron density/resistance mobility or Ge hole direct Hall assumption.

Description

Hall measurements and sheet conductance can infer mobility within a matched quantum-well model.

Hall measurements and sheet conductance can infer mobility within a matched quantum-well model.1

An independently selected Hall factor converts the measured Hall scale to the stated InGaAs drift-mobility convention.

When to use Semiconductor InGaAs Quantum Well Electron Mobility Calculator

Use this tool when you need to calculate the stated measurement summary or conditional model from matched observations. Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.

How to use Semiconductor InGaAs Quantum Well Electron Mobility Calculator and understand its results

  1. Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
  2. Enter observedIngaasHallCoefficientM2C, observedIngaasSheetConductanceSiemens, callerMatchedHallFactors, following the field table and calculation rules below, then run the tool.
  3. Read inferredIngaasDriftMobilityM2VoltSecond. Use the output table and calculation rules below to interpret units, signs, crossings, and flags.
  4. Correct any input issues and run again. Before using a successful result, review its units, signs, evidence coverage, and stated model or reference assumptions.
Input fieldMeaningValue typeRequirement
observedIngaasHallCoefficientM2CObserved ingaas hall coefficient m2 clist of numberRequired
observedIngaasSheetConductanceSiemensObserved ingaas sheet conductance siemenslist of numberRequired
callerMatchedHallFactorsCaller matched hall factorslist of numberRequired

Use three nonempty aligned lists of positive Hall coefficients, conductances, and Hall factors. Multiply absolute coefficient by sheet conductance and divide by Hall factor; negative signed Hall coefficients are rejected despite the absolute-value operation.

μ_i=abs(RHall_i)×Gsheet_i/HallFactor_i

Read these symbols with the field meanings and branch or reference rules above.

Output fieldMeaningValue type
inferredIngaasDriftMobilityM2VoltSecondInferred ingaas drift mobility m2 volt secondlist of number
json
{
  "input": {
    "observedIngaasHallCoefficientM2C": [
      1,
      2
    ],
    "observedIngaasSheetConductanceSiemens": [
      2,
      3
    ],
    "callerMatchedHallFactors": [
      2,
      3
    ]
  },
  "output": {
    "inferredIngaasDriftMobilityM2VoltSecond": [
      1,
      2
    ]
  }
}

Limitations and assumptions

Measurements, branch identification, units, and model applicability must be independently established. Results do not supply universal material constants, a complete physical model, or operating-condition approval.

Missing required fields, unknown fields, wrong types, and violated calculation rules return input issues. Numeric values must be finite; nonfinite numeric outputs are rejected. Arrays must be dense, with no missing cells. Numeric lists allow at most 10000 entries, subject to smaller tool-specific bounds above.

Alternative or Complementary methods

For a related task, use Semiconductor Ge Quantum Well Hole Mobility Calculator: Hall hole sheet density and sheet resistance can define an extracted Ge quantum-well mobility. Interpreting that value requires independently resolving Hall factors and multiple carrier bands. For a complementary step, use Semiconductor AlGaN Gan Hemt Sheet Resistance Calculator: Four-probe sheet-resistance extraction uses measured voltage and current with an independently verified geometry correction. That correction belongs to the supplied finite-sample arrangement.

References

  1. Semiconductor InGaAs Quantum Well Electron Mobility Calculator — tool.io

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