Semiconductor IGZO Mobility Calculator

Extract Igzo saturation mobility from actual multi-point sqrt(Id) gate trace and measured geometry/capacitance; channel/branch independently verified, not silicon doping-mobility formula.

Description

IGZO saturation mobility extraction connects a measured current slope with channel geometry and gate capacitance.

IGZO saturation mobility extraction connects a measured current slope with channel geometry and gate capacitance.1

Independently establishing the saturation branch is essential to interpreting the fitted mobility.

When to use Semiconductor IGZO 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 IGZO Mobility Calculator and understand its results

  1. Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
  2. Enter observedGateV, observedSquareRootSaturationCurrentSqrtAmps, observedChannelLengthM, observedChannelWidthM, callerGateCapacitanceFM2, following the field table and calculation rules below, then run the tool.
  3. Read extractedSaturationMobilityM2VoltSecond, linearFitRSquared. 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
observedGateVObserved gate vlist of numberRequired
observedSquareRootSaturationCurrentSqrtAmpsObserved square root saturation current sqrt ampslist of numberRequired
observedChannelLengthMObserved channel length mnumberRequired
observedChannelWidthMObserved channel width mnumberRequired
callerGateCapacitanceFM2Caller gate capacitance f m2numberRequired

Require positive length, width, and capacitance per area, with nonnegative square-root currents. Fit against gate voltage, require positive slope, and multiply its square by 2L/(WCarea). Return the fit R² alongside mobility.

The regression helper accepts 2–10000 aligned finite pairs with nonzero predictor variance. It fits ordinary least squares with a free intercept using shifted coordinates; samples need not be sorted unless this tool additionally requires it. R² is clamped to [0,1] and is one for constant responses. Transformed fits use the stated log or reciprocal predictor/response basis; R² is a fit summary rather than a confidence interval.

μ=2L×b²/(W×Carea)

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

Output fieldMeaningValue type
extractedSaturationMobilityM2VoltSecondExtracted saturation mobility m2 volt secondnumber
linearFitRSquaredLinear fit r squarednumber
json
{
  "input": {
    "observedGateV": [
      1,
      2,
      3
    ],
    "observedSquareRootSaturationCurrentSqrtAmps": [
      1,
      2,
      3
    ],
    "observedChannelLengthM": 1,
    "observedChannelWidthM": 2,
    "callerGateCapacitanceFM2": 1
  },
  "output": {
    "extractedSaturationMobilityM2VoltSecond": 1,
    "linearFitRSquared": 1
  }
}

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 IGZO Threshold Voltage Calculator: IGZO threshold extraction uses a selected square-root saturation-current branch. Its voltage-axis intercept is a conditional fitted parameter whose quality depends on the measured branch. For a complementary step, use Semiconductor OTFT Mobility Calculator: Saturation mobility extraction combines a square-root current slope with channel geometry and gate capacitance per area. The selected branch and capacitance model determine whether the inferred OTFT mobility is meaningful.

References

  1. Semiconductor IGZO Mobility Calculator — tool.io

Similar or alternative tools

  • Semiconductor IGZO Threshold Voltage Calculator

    IGZO threshold extraction uses a selected square-root saturation-current branch. Its voltage-axis intercept is a conditional fitted parameter whose quality depends on the measured branch.

  • Semiconductor OTFT Mobility Calculator

    Saturation mobility extraction combines a square-root current slope with channel geometry and gate capacitance per area. The selected branch and capacitance model determine whether the inferred OTFT mobility is meaningful.

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