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Randles Sevcik Scan Rate Square Root Factor Tool

Diffusion-controlled reversible peak-current square-root scan-rate scaling with all other conditions held fixed.

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Description

ratio = sqrt(scanRate/referenceScanRate); peakCurrent = referencePeakCurrent*ratio.

Electrochemical current and potential terms depend on reaction direction, transport geometry and a declared reference state. Named equations apply under specific kinetic or diffusion assumptions; one scaling factor is not a full electrochemical model.

ratio = sqrt(scanRate/referenceScanRate); peakCurrent = referencePeakCurrent*ratio.

When to use this tool

Use Randles Sevcik Scan Rate Square Root Factor when checking one supplied kinetic or transport-model contribution.

How to use the tool and how it works

  1. Enter referencePeakCurrent, referenceScanRate, scanRate. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read ratio, peakCurrent. Use the output convention below.

Require positive referenceScanRate and nonnegative scanRate. ratio = sqrt(scanRate/referenceScanRate); peakCurrent = referencePeakCurrent*ratio.1

Input fieldMeaning and unitsAccepted input
referencePeakCurrentReference Peak CurrentRequired. Finite number.
referenceScanRateReference Scan RateRequired. Finite number; strictly above 0.
scanRateScan RateRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
ratioRatio using the stated numerator and denominator convention.Required. Finite number.
peakCurrentPeak CurrentRequired. Finite number.
json
{
  "input": {
    "referencePeakCurrent": 4,
    "referenceScanRate": 0.1,
    "scanRate": 0.4
  },
  "output": {
    "ratio": 2,
    "peakCurrent": 8
  }
}

Limitations and assumptions

  • This is a supplied square-root scaling under a Randles-Sevcik-style assumption, not a full diffusion calculation. Species, electrode area, temperature and reversible transport conditions are not established.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use a suitable complete model and verified experimental conditions before interpreting a local term as mechanism, performance or a fitted parameter.

References

  1. Calculation and input contract: electrochemistry/randles-sevcik-scan-rate-square-root-factor — tool.io

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