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Phosphorescence Quantum Yield Calculator

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Fluoroscence and Phosphorescence Quantum Yield and Singlet Llifetime

✖Rate of Radiative Reaction is the rate of light emission per unit carrier concentration, or radiative rate.ⓘ Rate of Radiative Reaction [K_rad]			+10% -10%
✖Rate Constant of Non Radiative Reaction is defined as the rate at which deactivation occurs in the form of heat energy.ⓘ Rate Constant of Non Radiative Reaction [K_NR]			+10% -10%

✖Quantum Yield of Phosphorescence 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 [φ_p]

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Phosphorescence Quantum Yield Solution

STEP 0: Pre-Calculation Summary

Formula Used

Quantum Yield of Phosphorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate Constant of Non Radiative Reaction)
φ_p = K_rad/(K_rad+K_NR)
This formula uses 3 Variables

Variables Used

Quantum Yield of Phosphorescence - Quantum Yield of Phosphorescence 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.
Rate of Radiative Reaction - (Measured in Hertz) - Rate of Radiative Reaction is the rate of light emission per unit carrier concentration, or radiative rate.
Rate Constant of Non Radiative Reaction - (Measured in Hertz) - Rate Constant of Non Radiative Reaction is defined as the rate at which deactivation occurs in the form of heat energy.

STEP 1: Convert Input(s) to Base Unit

Rate of Radiative Reaction: 10 Revolution per Second --> 10 Hertz (Check conversion here)
Rate Constant of Non Radiative Reaction: 35 Revolution per Second --> 35 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ_p = K_rad/(K_rad+K_NR) --> 10/(10+35)

Evaluating ... ...

φ_p = 0.222222222222222

STEP 3: Convert Result to Output's Unit

0.222222222222222 --> No Conversion Required

FINAL ANSWER

0.222222222222222 ≈ 0.222222 <-- Quantum Yield of Phosphorescence

(Calculation completed in 00.004 seconds)

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< Emission Spectroscopy Calculators

Degree of Exciplex Formation

LaTeX 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

LaTeX 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

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

Equilibrium Constant for Exciplex Formation

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

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

Phosphorescence Quantum Yield Formula

LaTeX Go

Quantum Yield of Phosphorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate Constant of Non Radiative Reaction)
φ_p = K_rad/(K_rad+K_NR)

What is Radiative Lifetime?

The radiative lifetime of an excited electronic state e.g. in a laser gain medium is the lifetime which would be obtained if radiative decay via the unavoidable spontaneous emission were the only mechanism for depopulating this state.

How to Calculate Phosphorescence Quantum Yield?

Phosphorescence Quantum Yield calculator uses Quantum Yield of Phosphorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate Constant of Non Radiative Reaction) to calculate the Quantum Yield of Phosphorescence, The Phosphorescence Quantum Yield formula is defined as the measure of probability that a molecule will phosphoresce. Quantum Yield of Phosphorescence is denoted by φ_p symbol.

How to calculate Phosphorescence Quantum Yield using this online calculator? To use this online calculator for Phosphorescence Quantum Yield, enter Rate of Radiative Reaction (K_rad) & Rate Constant of Non Radiative Reaction (K_NR) and hit the calculate button. Here is how the Phosphorescence Quantum Yield calculation can be explained with given input values -> 0.222222 = 10/(10+35).

FAQ

What is Phosphorescence Quantum Yield?

The Phosphorescence Quantum Yield formula is defined as the measure of probability that a molecule will phosphoresce and is represented as φ_p = K_rad/(K_rad+K_NR) or Quantum Yield of Phosphorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate Constant of Non Radiative Reaction). Rate of Radiative Reaction is the rate of light emission per unit carrier concentration, or radiative rate & Rate Constant of Non Radiative Reaction is defined as the rate at which deactivation occurs in the form of heat energy.

How to calculate Phosphorescence Quantum Yield?

The Phosphorescence Quantum Yield formula is defined as the measure of probability that a molecule will phosphoresce is calculated using Quantum Yield of Phosphorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate Constant of Non Radiative Reaction). To calculate Phosphorescence Quantum Yield, you need Rate of Radiative Reaction (K_rad) & Rate Constant of Non Radiative Reaction (K_NR). With our tool, you need to enter the respective value for Rate of Radiative Reaction & Rate Constant of Non Radiative Reaction 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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