Phosphorescence Quantum Yield given Intersystem Quantum Yield Calculator

Phosphorescence Quantum Yield Formula:

\[ \phi_{ph}^{ISC} = \frac{K_p}{I_a} \times \sqrt{\frac{I_a \times \phi_{ISC}}{K_{TTA}}} \]

Phosphorescence Rate Constant (K_p):

Absorption Intensity (I_a):

W/m²

Triplet State Quantum Yield (φ_ISC):

Triplet-Triplet Annihilation Rate (K_TTA):

m³/mol·s

Phosphorescence Quantum Yield (φ_ph^ISC):

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1. What is Phosphorescence Quantum Yield given ISC?

Definition: This calculator determines the phosphorescence quantum yield based on intersystem crossing quantum yield and other photophysical parameters.

Purpose: It helps researchers quantify the efficiency of phosphorescence emission relative to absorption in molecular systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \phi_{ph}^{ISC} = \frac{K_p}{I_a} \times \sqrt{\frac{I_a \times \phi_{ISC}}{K_{TTA}}} \]

Where:

\( \phi_{ph}^{ISC} \) — Phosphorescence quantum yield
\( K_p \) — Phosphorescence rate constant (Hz)
\( I_a \) — Absorption intensity (W/m²)
\( \phi_{ISC} \) — Intersystem crossing quantum yield
\( K_{TTA} \) — Triplet-triplet annihilation rate constant (m³/mol·s)

Explanation: The formula accounts for the competition between phosphorescence emission and triplet-triplet annihilation processes.

3. Importance of Phosphorescence Quantum Yield

Details: This parameter is crucial for designing luminescent materials, OLEDs, and understanding photophysical processes in molecules.

4. Using the Calculator

Tips: Enter all positive values for the parameters. Typical ranges: Kp (10⁶-10¹² Hz), Ia (10-10⁶ W/m²), φISC (0-1), KTTA (10⁻⁵-10⁻¹ m³/mol·s).

5. Frequently Asked Questions (FAQ)

Q1: What is intersystem crossing quantum yield?
A: It's the fraction of excited molecules that undergo transition from singlet to triplet state.

Q2: How is phosphorescence rate constant determined?
A: Typically measured experimentally using time-resolved spectroscopy techniques.

Q3: What affects triplet-triplet annihilation rate?
A: Molecular structure, concentration, temperature, and matrix rigidity influence KTTA.

Q4: Can the quantum yield exceed 1?
A: Normally no, but in systems with triplet-triplet annihilation, apparent yields >1 are possible.

Q5: What are typical values for φ_ph^ISC?
A: Ranges from 0 (no phosphorescence) to near 1 (highly efficient phosphorescent systems).