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Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant Calculator

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Fluoroscence and Phosphorescence Quantum Yield and Singlet Llifetime

✖Phosphorescence Rate Constant is defined as the rate at which phosphorescence occurs during emission from triplet to singlet state.ⓘ Phosphorescence Rate Constant [K_p]			+10% -10%
✖ISC Quantum Yield is the ratio of the number of photons emitted to the number of photons absorbed. Notably, quantum yield is independent of instrument.ⓘ ISC Quantum Yield [φ_ISC]			+10% -10%
✖Rate Constant of Intersystem Crossing is the rate of decay from excited singlet electronic state to triplet state.ⓘ Rate Constant of Intersystem Crossing [K_ISC]			+10% -10%
✖Rate constant of Triplet Triplet Anhilation is the measure of energy transfer mechanism between two molecules in their triplet state, and is related to the Dexter energy transfer mechanism.ⓘ Rate Constant of Triplet Triplet Anhilation [K_TTA]			+10% -10%

✖Phosphosecence Quantum Yield given TTA Constant is a measure of the efficiency of photon emission as defined by the ratio of the number of photons emitted to the number of photons absorbed.ⓘ Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant [φ_ph-TTA]

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Formula

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Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant

Formula

φ ph-TTA = \frac{K p \cdot φ ISC}{K p + K ISC + K TTA}

Example

0.010539 = \frac{45 rev/s \cdot 15}{45 rev/s + 64000 rev/s + 65 L/(mol*s)}

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Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phosphosecence Quantum Yield given TTA Constant = (Phosphorescence Rate Constant*ISC Quantum Yield)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation)
φ_ph-TTA = (K_p*φ_ISC)/(K_p+K_ISC+K_TTA)
This formula uses 5 Variables

Variables Used

Phosphosecence Quantum Yield given TTA Constant - Phosphosecence Quantum Yield given TTA Constant is a measure of the efficiency of photon emission as defined by the ratio of the number of photons emitted to the number of photons absorbed.
Phosphorescence Rate Constant - (Measured in Hertz) - Phosphorescence Rate Constant is defined as the rate at which phosphorescence occurs during emission from triplet to singlet state.
ISC Quantum Yield - ISC Quantum Yield is the ratio of the number of photons emitted to the number of photons absorbed. Notably, quantum yield is independent of instrument.
Rate Constant of Intersystem Crossing - (Measured in Hertz) - Rate Constant of Intersystem Crossing is the rate of decay from excited singlet electronic state to triplet state.
Rate Constant of Triplet Triplet Anhilation - (Measured in Cubic Meter per Mole Second) - Rate constant of Triplet Triplet Anhilation is the measure of energy transfer mechanism between two molecules in their triplet state, and is related to the Dexter energy transfer mechanism.

STEP 1: Convert Input(s) to Base Unit

Phosphorescence Rate Constant: 45 Revolution per Second --> 45 Hertz (Check conversion here)
ISC Quantum Yield: 15 --> No Conversion Required
Rate Constant of Intersystem Crossing: 64000 Revolution per Second --> 64000 Hertz (Check conversion here)
Rate Constant of Triplet Triplet Anhilation: 65 Liter per Mole Second --> 0.065 Cubic Meter per Mole Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ_ph-TTA = (K_p*φ_ISC)/(K_p+K_ISC+K_TTA) --> (45*15)/(45+64000+0.065)

Evaluating ... ...

φ_ph-TTA = 0.0105394537424546

STEP 3: Convert Result to Output's Unit

0.0105394537424546 --> No Conversion Required

FINAL ANSWER

0.0105394537424546 ≈ 0.010539 <-- Phosphosecence Quantum Yield given TTA Constant

(Calculation completed in 00.004 seconds)

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< Emission Spectroscopy Calculators

Degree of Exciplex Formation

Go Degree of Exciplex Formation = (Equilibrium Constant for Coordinate Complexes*Quencher Concentration given Degree of Exciplex)/(1+(Equilibrium Constant for Coordinate Complexes*Quencher Concentration given Degree of Exciplex))

Collisional Energy Transfer

Go Rate of Collisional Energy Transfer = Quenching Constant*Quencher Concentration given Degree of Exciplex*Singlet State Concentration

Difference in Acidity between Ground and Excited State

Go Difference in pka = pKa of Excited State-pKa of Ground State

Equilibrium Constant for Exciplex Formation

Go Equilibrium Constant for Coordinate Complexes = 1/(1-Degree of Exciplex Formation)-1

< Quantum Yield and Singlet Llifetime Calculators

Phosphorescence Quantum Yield given Intersystem Quantum Yield

Go Phosphorescence Quantum Yield given ISC = (Phosphorescence Rate Constant/Absorption Intensity)*(((Absorption Intensity*Triplet State Quantum Yield)/Rate Constant of Triplet Triplet Anhilation)^(1/2))

Fluoroscence Quantum Yield given Phosphorescence Quantum Yield

Go Fluorosecence Quantum Yield given Ph = Phosphosecence Quantum Yield*((Rate Constant of Fluoroscence*Singlet State Concentration)/(Phosphorescence Rate Constant*Concentration of Triplet State))

Fluorescence Quantum Yield

Go Quantum Yield of Fluorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate of Internal Conversion+Rate Constant of Intersystem Crossing+Quenching Constant)

Phosphorescence Quantum Yield

Go Quantum Yield of Phosphorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate Constant of Non Radiative Reaction)

Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant Formula

What is Quantum Yield ?

Quantum yield (Φ) is defined as the ratio of the number of photons emitted to the number of photons absorbed. Notably, quantum yield is independent of instrument settings and describes how efficiently a fluorophore converts the excitation light into fluorescence.

What is the difference between internal conversion and intersystem crossing?

Internal conversions are nonadiabatic processes driven by the kinetic coupling between electronic states, whereas intersystem crossings are mediated by the spin–orbit coupling. The key difference between vibrational relaxation and internal conversion is that vibrational relaxation is the relaxation of an electron that occurs in an electronic state and moves from a high to low vibrational energy level, whereas internal conversion is the movement or relaxation of an electron from a higher to lower electronic state via emission of heat.

How to Calculate Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant?

Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant calculator uses Phosphosecence Quantum Yield given TTA Constant = (Phosphorescence Rate Constant*ISC Quantum Yield)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation) to calculate the Phosphosecence Quantum Yield given TTA Constant, The Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant formula is defined as is the ratio of the number of photons emitted to the number of photons absorbed. Notably, quantum yield is independent of instrument. Phosphosecence Quantum Yield given TTA Constant is denoted by φ_ph-TTA symbol.

How to calculate Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant using this online calculator? To use this online calculator for Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant, enter Phosphorescence Rate Constant (K_p), ISC Quantum Yield (φ_ISC), Rate Constant of Intersystem Crossing (K_ISC) & Rate Constant of Triplet Triplet Anhilation (K_TTA) and hit the calculate button. Here is how the Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant calculation can be explained with given input values -> 0.010539 = (45*15)/(45+64000+0.065).

FAQ

What is Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant?

The Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant formula is defined as is the ratio of the number of photons emitted to the number of photons absorbed. Notably, quantum yield is independent of instrument and is represented as φ_ph-TTA = (K_p*φ_ISC)/(K_p+K_ISC+K_TTA) or Phosphosecence Quantum Yield given TTA Constant = (Phosphorescence Rate Constant*ISC Quantum Yield)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation). Phosphorescence Rate Constant is defined as the rate at which phosphorescence occurs during emission from triplet to singlet state, ISC Quantum Yield is the ratio of the number of photons emitted to the number of photons absorbed. Notably, quantum yield is independent of instrument, Rate Constant of Intersystem Crossing is the rate of decay from excited singlet electronic state to triplet state & Rate constant of Triplet Triplet Anhilation is the measure of energy transfer mechanism between two molecules in their triplet state, and is related to the Dexter energy transfer mechanism.

How to calculate Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant?

The Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant formula is defined as is the ratio of the number of photons emitted to the number of photons absorbed. Notably, quantum yield is independent of instrument is calculated using Phosphosecence Quantum Yield given TTA Constant = (Phosphorescence Rate Constant*ISC Quantum Yield)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation). To calculate Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant, you need Phosphorescence Rate Constant (K_p), ISC Quantum Yield (φ_ISC), Rate Constant of Intersystem Crossing (K_ISC) & Rate Constant of Triplet Triplet Anhilation (K_TTA). With our tool, you need to enter the respective value for Phosphorescence Rate Constant, ISC Quantum Yield, Rate Constant of Intersystem Crossing & Rate Constant of Triplet Triplet Anhilation and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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