Calculator Inputs
Example Data Table
| Scenario | Inputs | Output (τ) |
|---|---|---|
| Rates method | kr=2.5 1/ns, knr=0.5 1/ns | 0.333 ns |
| Quantum yield method | Φ=0.83, τr=4.2 ns | 3.486 ns |
| Two-point decay | t1=0 ns, I1=1000; t2=3 ns, I2=368 | 3.000 ns |
| Multi-exponential | a=[0.7,0.3], τ=[1.2,4.8] ns (intensity-weighted) | 3.129 ns |
These examples are illustrative and depend on rounding.
Formula Used
Fluorescence lifetime τ describes how quickly emission decays after excitation. Common models assume first‑order decay and convert your measurements into a characteristic time constant.
- Rates: τ = 1/(kr + knr), where kr is radiative and knr is non‑radiative decay rate.
- Quantum yield: Φ = kr/(kr + knr) and τr = 1/kr, giving τ = Φ·τr.
- Two‑point decay: with I(t)=I0e-t/τ, then τ=(t2-t1)/ln(I1/I2).
- Multi‑exponential average: choose amplitude‑weighted τ̄=Σ(aiτi)/Σ(ai) or intensity‑weighted τ̄=Σ(aiτi2)/Σ(aiτi).
How to Use This Calculator
- Select a calculation method that matches your data.
- Enter values with the correct units (rates or times).
- Choose an output unit and significant figures.
- Click Compute lifetime to view the results above.
- Use the CSV/PDF buttons to export the result summary.