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Rate of Phosphorescence 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%
✖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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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 00.004 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

< Fluoroscence and Phosphorescence Calculators

Initial Intensity given Degree of Exciplex Formation

LaTeX 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)

Fluoroscence Intensity without Quenching

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

Fluoroscence Intensity

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

Fluorescence Rate Constant

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

Rate of Phosphorescence Formula

LaTeX Go

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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