Calculator Inputs
Example Data Table
| Sample | kr (s-1) | knr (s-1) | kISC (s-1) | kIC (s-1) | Lifetime (ns) |
|---|---|---|---|---|---|
| Coumarin dye | 1.20×108 | 8.50×107 | 1.10×107 | 4.00×106 | 4.5455 |
| Organic emitter | 9.40×107 | 5.10×107 | 8.00×106 | 6.00×106 | 6.2893 |
| Metal complex | 3.20×107 | 1.80×107 | 1.50×107 | 7.00×106 | 13.8889 |
Formula Used
The core lifetime expression is τ = 1 / (kr + knr + kISC + kIC).
Here, τ is the excited state lifetime in seconds. Each k term is a first-order decay rate constant.
Fluorescence quantum yield is ΦF = kr / ktotal.
When observed lifetime and fluorescence yield are known, the radiative rate becomes kr = ΦF / τ.
The combined nonradiative loss rate is kloss = 1/τ − kr.
How to Use This Calculator
- Select the calculation mode that matches your available photophysical data.
- Enter rate constants, or supply lifetime with fluorescence quantum yield.
- Press Calculate Lifetime to display the result above the form.
- Review lifetime, decay rate, and yield fractions for interpretation.
- Use the CSV or PDF buttons to export the result summary.