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Fluorescence Quantum Yield Reference Ratio

Compare fluorescence quantum yield using corrected photon-integrated emission, exact absorbed-light fractions 1-10^(-A), and the refractive-index-squared correction for dilute solutions in comparable optical geometry. Returns an estimate without clamping it to unity.

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Description

Calculate a supplied relative fluorescence quantum-yield term.

Biophysical scalar models require explicit signal, concentration, temperature, energy and geometric conventions. Effective concentration differs from dimensionless activity, a single displacement differs from mean-square displacement, and a fluorescence yield ratio needs absorption and refractive-index corrections. Supplied model parameters do not establish that the model applies to an experiment.

Calculate a supplied relative fluorescence quantum-yield term.

When to use this tool

Use Fluorescence Quantum Yield Reference Ratio when you already have sampleIntegratedSignal, referenceIntegratedSignal, sampleAbsorbance, referenceAbsorbance, referenceYield, sampleRefractiveIndex, referenceRefractiveIndex and need to calculate a supplied relative fluorescence quantum-yield term.

How to use the tool and how it works

  1. Enter sampleIntegratedSignal, referenceIntegratedSignal, sampleAbsorbance, referenceAbsorbance, referenceYield, sampleRefractiveIndex, referenceRefractiveIndex. 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 relativeYield. Use the output convention below.

Require nonnegative sample signal, reference yield in [0,1] and positive reference signal, absorbances and refractive indices. Multiply reference yield by signal ratio, absorbed-reference/absorbed-sample fraction ratio using -expm1(-ln(10)*A), and (nSample/nReference)^2.1

Relative fluorescence quantum-yield comparison uses integrated photon signals, absorbed excitation fractions and a squared refractive-index ratio. Comparable excitation, calibrated spectral response and suitable sample/reference conditions remain experimental requirements.2

Input fieldMeaning and unitsAccepted input
sampleIntegratedSignalIntegrated fluorescence signal on a consistent photon-number basis with the reference.Required. Finite number; minimum 0.
referenceIntegratedSignalReference Integrated SignalRequired. Finite number; strictly above 0.
sampleAbsorbancePositive dimensionless base-10 absorbance at excitation, not an absorption fraction.Required. Finite number; strictly above 0.
referenceAbsorbanceReference AbsorbanceRequired. Finite number; strictly above 0.
referenceYieldReference quantum yield in [0,1] supplied under comparable conditions.Required. Finite number; minimum 0; maximum 1.
sampleRefractiveIndexSample Refractive IndexRequired. Finite number; strictly above 0.
referenceRefractiveIndexReference Refractive IndexRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
relativeYieldReference yield times signal ratio, absorbed-fraction correction and (n_sample/n_reference)²; not clamped to one.Required. Finite number.
json
{
  "input": {
    "sampleIntegratedSignal": 80,
    "referenceIntegratedSignal": 100,
    "sampleAbsorbance": 0.1,
    "referenceAbsorbance": 0.1,
    "referenceYield": 0.5,
    "sampleRefractiveIndex": 1.33,
    "referenceRefractiveIndex": 1.33
  },
  "output": {
    "relativeYield": 0.4
  }
}

Limitations and assumptions

  • Absorbance is base-10 optical absorbance. Compatible integration, reference and geometry assumptions are supplied; no spectra, response corrections or valid yield is established. Output is not clamped to [0,1].
  • 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 the complete physical model, calibrated measurements and uncertainty analysis. Check reference states, photon-signal bases, diffusion assumptions and binding-constant conventions before interpreting local contributions as physical measurements.

References

  1. Calculation and input contract: biophysics/fluorescence-quantum-yield-reference-ratio — tool.io

  2. Standards for photoluminescence quantum yield measurements in solution (2011) — Albert M. Brouwer; IUPAC

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