Rate of Phosphorescence Calculator

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Physical spectroscopy

Gaseous state

Vapour Pressure

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Emission Spectroscopy

Absorption Spectroscopy

Raman spectroscopy

Rotational Spectroscopy

Vibrational Spectroscopy

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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%
✖Concentration of Triplet State is the number of molecules present in triplet state.ⓘ Concentration of Triplet State [[M_T]]			+10% -10%

✖Phosphorescence Rate is the rate at which induced emission occurs.ⓘ Rate of Phosphorescence [Rate_ph]

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Formula

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Rate of Phosphorescence

Formula

`"Rate"_{"ph"} = "K"_{"p"}*("[M"_{"T"}"]")`

Example

`"0.00279mol/L*s"="45rev/s"*"6.2E^-5mol/L"`

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Rate of Phosphorescence Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phosphorescence Rate = Phosphorescence Rate Constant*Concentration of Triplet State
Rate_ph = K_p*[M_T]
This formula uses 3 Variables

Variables Used

Phosphorescence Rate - (Measured in Mole per Cubic Meter Second) - Phosphorescence Rate is the rate at which induced emission occurs.
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.
Concentration of Triplet State - (Measured in Mole per Cubic Meter) - Concentration of Triplet State is the number of molecules present in triplet state.

STEP 1: Convert Input(s) to Base Unit

Phosphorescence Rate Constant: 45 Revolution per Second --> 45 Hertz (Check conversion here)
Concentration of Triplet State: 6.2E-05 Mole per Liter --> 0.062 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Rate_ph = K_p*[M_T] --> 45*0.062

Evaluating ... ...

Rate_ph = 2.79

STEP 3: Convert Result to Output's Unit

2.79 Mole per Cubic Meter Second -->0.00279 Mole per Liter Second (Check conversion here)

FINAL ANSWER

0.00279 Mole per Liter Second <-- Phosphorescence Rate

(Calculation completed in 00.020 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

< 12 Fluoroscence and Phosphorescence Calculators

Intensity of Fluorescence given Degree of Exciplex Formation

Singlet State Concentration

Go Concentration of Singlet State = Absorption Intensity/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction+Rate Constant of Intersystem Crossing+Rate Constant of Internal Conversion)

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)))

Fluoroscence Intensity without Quenching

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

Fluoroscence Intensity

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

Quenching Concentration

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

Phosphorescence Rate Constant

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

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

ISC Rate Constant

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

Singlet Radiative Fluorescence Lifetime

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

Rate of Phosphorescence Formula

Phosphorescence Rate = Phosphorescence Rate Constant*Concentration of Triplet State
Rate_ph = K_p*[M_T]

Why is the rate of fluorescence higher than phosphorescence?

Fluorescence emission occurs at a slower rate. Since the triplet to singlet (or reverse) is a forbidden transition, meaning it is less likely to occur than the singlet-to-singlet transition, the rate of triplet to singlet is typically slower. Therefore, phosphorescence emission requires more time than fluorescence.

How to Calculate Rate of Phosphorescence?

Rate of Phosphorescence calculator uses Phosphorescence Rate = Phosphorescence Rate Constant*Concentration of Triplet State to calculate the Phosphorescence Rate, The Rate of Phosphorescence formula is defined as rate of emission of light from triplet-excited state to singlet ground state. Phosphorescence Rate is denoted by Rate_ph symbol.

How to calculate Rate of Phosphorescence using this online calculator? To use this online calculator for Rate of Phosphorescence, enter Phosphorescence Rate Constant (K_p) & Concentration of Triplet State ([M_T]) and hit the calculate button. Here is how the Rate of Phosphorescence calculation can be explained with given input values -> 2.8E-6 = 45*0.062.

FAQ

What is Rate of Phosphorescence?

The Rate of Phosphorescence formula is defined as rate of emission of light from triplet-excited state to singlet ground state and is represented as Rate_ph = K_p*[M_T] or Phosphorescence Rate = Phosphorescence Rate Constant*Concentration of Triplet State. Phosphorescence Rate Constant is defined as the rate at which phosphorescence occurs during emission from triplet to singlet state & Concentration of Triplet State is the number of molecules present in triplet state.

How to calculate Rate of Phosphorescence?

The Rate of Phosphorescence formula is defined as rate of emission of light from triplet-excited state to singlet ground state is calculated using Phosphorescence Rate = Phosphorescence Rate Constant*Concentration of Triplet State. To calculate Rate of Phosphorescence, you need Phosphorescence Rate Constant (K_p) & Concentration of Triplet State ([M_T]). With our tool, you need to enter the respective value for Phosphorescence Rate Constant & Concentration of Triplet State 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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