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

Formula

`"φ"_{"p"} = "K"_{"rad"}/("K"_{"rad"}+"K"_{"NR"})`

Example

`"0.222222"="10rev/s"/("10rev/s"+"35rev/s")`

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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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< 25 Emission Spectroscopy Calculators

Intensity of Fluorescence given Degree of Exciplex Formation

Go Fluorosence Intensity given Degree of Exciplex = Rate Constant of Fluoroscence*Equilibrium Constant for Coordinate Complexes*(1-Degree of Exciplex Formation)/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction)

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))

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))

Fluorosence Intensity at Low Concentration of Solute

Go Fluorosence Intensity at Low Concentration = Fluorosecence Quantum Yield*Initial Intensity*2.303*Spectroscopical Molar Extinction Coefficient*Concentration at Time t*Length

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)

Initial Intensity given Degree of Exciplex Formation

Go Initial Intensity given Degree of Exciplex = Rate Constant of Fluoroscence*Equilibrium Constant for Coordinate Complexes/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction)

Intensity Ratio

Go Intensity Ratio = 1+(Quencher Concentration given Degree of Exciplex*(Quenching Constant/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction)))

Quantum Yield of Fluorescence

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

Singlet Life Time of Radiative Process

Go Singlet Life time of Radiative Process = ((Initial Intensity/Fluorosence Intensity)-1)/(Quenching Constant*Quencher Concentration given Degree of Exciplex)

Fluoroscence Intensity without Quenching

Go Intensity Without Quenching = (Rate Constant of Fluoroscence*Absorption Intensity)/(Rate Constant of Non Radiative Reaction+Rate Constant of Fluoroscence)

Final Intensity using Stern Volmer Equation

Go Final Intensity = Initial Intensity/(1+(Singlet Life time given Degree of Exciplex*Quenching Constant*Quencher Concentration given Degree of Exciplex))

Fluoroscence Intensity

Go Fluorosence Intensity = (Rate Constant of Fluoroscence*Absorption Intensity)/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction)

Singlet Life Time

Go Singlet Life time = 1/(Rate Constant of Intersystem Crossing+Rate of Radiative Reaction+Rate of Internal Conversion+Quenching Constant)

Collisional Energy Transfer

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

Rate of Deactivation

Go Rate of Deactivation = (Rate Constant of Non Radiative Reaction+Rate Constant of Fluoroscence)*Singlet State Concentration

Quenching Concentration given Degree of Exciplex Formation

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

Quenching Concentration

Go Quencher Concentration = ((Initial Intensity/Fluorosence Intensity)-1)/Stern Volmner Constant

Singlet Life given Degree of Exciplex Formation

Go Singlet Life time given Degree of Exciplex = 1/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction)

Rate of Phosphorescence

Go Phosphorescence Rate = Phosphorescence Rate Constant*Concentration of Triplet State

Fluorescence Rate Constant

Go Rate Constant of Fluoroscence = Rate of Fluoroscence/Singlet State Concentration

Rate of Activation

Go Rate of Activation = Equilibrium Constant*(1-Degree of Dissociation of Emission)

ISC Rate Constant

Go Rate Constant of ISC = Rate of Intersystem Crossing*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

Singlet Radiative Phosphorescence Lifetime

Go Singlet Radiative Phosphorescence Lifetime = 1/Rate of Phosphorescence

< 13 Quantum Yield and Singlet Llifetime Calculators

Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant

Go 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 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))

Phosphorescence Quantum Yield given Fluoroscence Quantum Yield

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

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)

Quantum Yield of Fluorescence

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

Singlet Life Time of Radiative Process

Go Singlet Life time of Radiative Process = ((Initial Intensity/Fluorosence Intensity)-1)/(Quenching Constant*Quencher Concentration given Degree of Exciplex)

Singlet Life Time

Go Singlet Life time = 1/(Rate Constant of Intersystem Crossing+Rate of Radiative Reaction+Rate of Internal Conversion+Quenching Constant)

Phosphorescence Quantum Yield

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

Triplet State Quantum yield

Go Quantum Yield of Triplet State = (Rate Constant of Intersystem Crossing*Singlet State Concentration)/Absorption Intensity

Singlet Life given Degree of Exciplex Formation

Go Singlet Life time given Degree of Exciplex = 1/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction)

Singlet Radiative Fluorescence Lifetime

Go Singlet Radiative Fluorescence Lifetime = 1/Rate Constant of Fluoroscence

Singlet Radiative Phosphorescence Lifetime

Go Singlet Radiative Phosphorescence Lifetime = 1/Rate of Phosphorescence

Phosphorescence Quantum Yield Formula

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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