Semiconductor Ferroelectric Fet Subthreshold Swing Below 60 Calculator

Extract measured ferroelectric FET subthreshold swing and caller reference comparison, not theoretical capacitance swing or proof of steady-state negative capacitance.

Description

Subthreshold swing describes gate-voltage change per decade of measured drain current.

Subthreshold swing describes gate-voltage change per decade of measured drain current.1

A supplied reference defines the comparison, and the tool name does not fix a 60 mV-per-decade threshold.

When to use Semiconductor Ferroelectric Fet Subthreshold Swing Below 60 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 Ferroelectric Fet Subthreshold Swing Below 60 Calculator and understand its results

  1. Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
  2. Enter observedFerroelectricGateV, observedFerroelectricDrainAmps, callerReferenceSwingVoltsDecade, following the field table and calculation rules below, then run the tool.
  3. Read measuredFerroelectricSwingVoltsDecade, belowCallerReferenceSwing. 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
observedFerroelectricGateVObserved ferroelectric gate vlist of numberRequired
observedFerroelectricDrainAmpsObserved ferroelectric drain ampslist of numberRequired
callerReferenceSwingVoltsDecadeCaller reference swing volts decadenumberRequired

Require positive drain currents and reference swing. Fit gate voltage versus log10(current), require a positive fitted slope, and return whether it is strictly below the caller reference. Equality returns false; the fit does not establish steady-state negative capacitance.

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.

Vg=a+S×log10(Id); below=(S<Sreference)

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

Output fieldMeaningValue type
measuredFerroelectricSwingVoltsDecadeMeasured ferroelectric swing volts decadenumber
belowCallerReferenceSwingBelow caller reference swingboolean
json
{
  "input": {
    "observedFerroelectricGateV": [
      0,
      0.02,
      0.04
    ],
    "observedFerroelectricDrainAmps": [
      1,
      10,
      100
    ],
    "callerReferenceSwingVoltsDecade": 0.06
  },
  "output": {
    "measuredFerroelectricSwingVoltsDecade": 0.02,
    "belowCallerReferenceSwing": true
  }
}

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 Negative Capacitance Fet Voltage Amplification Calculator: A negative differential capacitance branch can amplify local voltage in a series-capacitance model. Positive total series stiffness is a local condition and does not establish global ferroelectric stability or absence of hysteresis. For a complementary step, use Semiconductor OTFT Threshold Voltage Calculator: A square-root saturation-current branch can provide a fitted transistor threshold intercept. Its interpretation depends on independently selecting a suitable branch rather than assuming a universal OTFT threshold.

References

  1. Semiconductor Ferroelectric Fet Subthreshold Swing Below 60 Calculator — tool.io

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