Phosphorescence Quantum Yield given Intersystem Quantum Yield Calculator

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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%
✖Absorption Intensity obtained by integrating the area under the absorption line—is proportional to the amount of the absorbing substance present.ⓘ Absorption Intensity [I_a]			+10% -10%
✖Triplet State Quantum yield is the rate if triplet state intensity to absorption intensity.ⓘ Triplet State Quantum Yield [φ_{_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%

✖Phosphorescence Quantum Yield given ISC 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 Intersystem Quantum Yield [φ_{ph_ISC}]

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Formula

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Phosphorescence Quantum Yield given Intersystem Quantum Yield

Formula

`"φ"_{"ph_ISC"} = ("K"_{"p"}/"I"_{"a"})*((("I"_{"a"}*"φ"_{"_ISC"})/"K"_{"TTA"})^(1/2))`

Example

`"70.60181"=("45rev/s"/"250W/m²")*((("250W/m²"*"40")/"65L/(mol*s)")^(1/2))`

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Phosphorescence Quantum Yield given Intersystem Quantum Yield Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phosphorescence Quantum Yield given ISC = (Phosphorescence Rate Constant/Absorption Intensity)*(((Absorption Intensity*Triplet State Quantum Yield)/Rate Constant of Triplet Triplet Anhilation)^(1/2))
φ_{ph_ISC} = (K_p/I_a)*(((I_a*φ_{_ISC})/K_TTA)^(1/2))
This formula uses 5 Variables

Variables Used

Phosphorescence Quantum Yield given ISC - Phosphorescence Quantum Yield given ISC 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.
Absorption Intensity - (Measured in Watt per Square Meter) - Absorption Intensity obtained by integrating the area under the absorption line—is proportional to the amount of the absorbing substance present.
Triplet State Quantum Yield - Triplet State Quantum yield is the rate if triplet state intensity to absorption intensity.
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)
Absorption Intensity: 250 Watt per Square Meter --> 250 Watt per Square Meter No Conversion Required
Triplet State Quantum Yield: 40 --> No Conversion Required
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_ISC} = (K_p/I_a)*(((I_a*φ_{_ISC})/K_TTA)^(1/2)) --> (45/250)*(((250*40)/0.065)^(1/2))

Evaluating ... ...

φ_{ph_ISC} = 70.6018086497462

STEP 3: Convert Result to Output's Unit

70.6018086497462 --> No Conversion Required

FINAL ANSWER

70.6018086497462 ≈ 70.60181 <-- Phosphorescence Quantum Yield given ISC

(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

ISC Rate Constant

Go Rate Constant of ISC = Rate of Intersystem Crossing*Singlet State Concentration

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)

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 given Intersystem Quantum Yield Formula

What is Laser ?

Laser-induced fluorescence or laser-stimulated fluorescence is a spectroscopic method in which an atom or molecule is excited to a higher energy level by the absorption of laser light followed by spontaneous emission of light.

How to Calculate Phosphorescence Quantum Yield given Intersystem Quantum Yield?

Phosphorescence Quantum Yield given Intersystem Quantum Yield calculator uses Phosphorescence Quantum Yield given ISC = (Phosphorescence Rate Constant/Absorption Intensity)*(((Absorption Intensity*Triplet State Quantum Yield)/Rate Constant of Triplet Triplet Anhilation)^(1/2)) to calculate the Phosphorescence Quantum Yield given ISC, The Phosphorescence Quantum Yield given Intersystem Quantum Yield formula is defined 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 ISC is denoted by φ_{ph_ISC} symbol.

How to calculate Phosphorescence Quantum Yield given Intersystem Quantum Yield using this online calculator? To use this online calculator for Phosphorescence Quantum Yield given Intersystem Quantum Yield, enter Phosphorescence Rate Constant (K_p), Absorption Intensity (I_a), Triplet State Quantum Yield (φ_{_ISC}) & Rate Constant of Triplet Triplet Anhilation (K_TTA) and hit the calculate button. Here is how the Phosphorescence Quantum Yield given Intersystem Quantum Yield calculation can be explained with given input values -> 70.60181 = (45/250)*(((250*40)/0.065)^(1/2)).

FAQ

What is Phosphorescence Quantum Yield given Intersystem Quantum Yield?

The Phosphorescence Quantum Yield given Intersystem Quantum Yield formula is defined 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 and is represented as φ_{ph_ISC} = (K_p/I_a)*(((I_a*φ_{_ISC})/K_TTA)^(1/2)) or 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 Rate Constant is defined as the rate at which phosphorescence occurs during emission from triplet to singlet state, Absorption Intensity obtained by integrating the area under the absorption line—is proportional to the amount of the absorbing substance present, Triplet State Quantum yield is the rate if triplet state intensity to absorption intensity & 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 Intersystem Quantum Yield?

The Phosphorescence Quantum Yield given Intersystem Quantum Yield formula is defined 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 is calculated using Phosphorescence Quantum Yield given ISC = (Phosphorescence Rate Constant/Absorption Intensity)*(((Absorption Intensity*Triplet State Quantum Yield)/Rate Constant of Triplet Triplet Anhilation)^(1/2)). To calculate Phosphorescence Quantum Yield given Intersystem Quantum Yield, you need Phosphorescence Rate Constant (K_p), Absorption Intensity (I_a), Triplet State Quantum Yield (φ_{_ISC}) & Rate Constant of Triplet Triplet Anhilation (K_TTA). With our tool, you need to enter the respective value for Phosphorescence Rate Constant, Absorption Intensity, Triplet State Quantum Yield & 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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