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Phosphorescence Rate Constant Calculator

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✖Rate of Phosphorescence is the rate at which induced emission occurs.ⓘ Rate of Phosphorescence [R_p]			+10% -10%
✖Concentration of Triplet State is the number of molecules present in triplet state.ⓘ Concentration of Triplet State [[M_T]]			+10% -10%

✖Rate Constant of Phosphorescence is defined as the rate at which phosphorescence occurs during emission from triplet to singlet state.ⓘ Phosphorescence Rate Constant [K_ph]

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Phosphorescence Rate Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate Constant of Phosphorescence = Rate of Phosphorescence/Concentration of Triplet State
K_ph = R_p/[M_T]
This formula uses 3 Variables

Variables Used

Rate Constant of Phosphorescence - (Measured in Hertz) - Rate Constant of Phosphorescence is defined as the rate at which phosphorescence occurs during emission from triplet to singlet state.
Rate of Phosphorescence - (Measured in Mole per Cubic Meter Second) - Rate of Phosphorescence is the rate at which induced emission occurs.
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

Rate of Phosphorescence: 15750 Mole per Liter Second --> 15750000 Mole per Cubic Meter Second (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

K_ph = R_p/[M_T] --> 15750000/0.062

Evaluating ... ...

K_ph = 254032258.064516

STEP 3: Convert Result to Output's Unit

254032258.064516 Hertz -->254032258.064516 Revolution per Second (Check conversion here)

FINAL ANSWER

254032258.064516 ≈ 2.5E+8 Revolution per Second <-- Rate Constant 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

< 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

Phosphorescence Rate Constant Formula

LaTeX Go

Rate Constant of Phosphorescence = Rate of Phosphorescence/Concentration of Triplet State
K_ph = R_p/[M_T]

What is Phosphorescence?

Phosphorescence is a type of photoluminescence related to fluorescence. When exposed to light of a shorter wavelength, a phosphorescent substance will glow, absorbing the light and reemitting it at a longer wavelength. Unlike fluorescence, a phosphorescent material does not immediately reemit the radiation it absorbs.

What is the duration of phosphorescence?

Unlike fluorescence, in which the absorbed light is spontaneously emitted about 10-8 second after excitation, phosphorescence requires additional excitation to produce radiation and may last from about 10-3 second to days or years, depending on the circumstances.

How to Calculate Phosphorescence Rate Constant?

Phosphorescence Rate Constant calculator uses Rate Constant of Phosphorescence = Rate of Phosphorescence/Concentration of Triplet State to calculate the Rate Constant of Phosphorescence, The Phosphorescence Rate Constant formula is defined as the rate at which phosphorescence occurs during emission from triplet to singlet state. It is the constant for emission of light from triplet-excited states, in which the electron in the excited orbital has the same spin orientation as the ground-state electron. Rate Constant of Phosphorescence is denoted by K_ph symbol.

How to calculate Phosphorescence Rate Constant using this online calculator? To use this online calculator for Phosphorescence Rate Constant, enter Rate of Phosphorescence (R_p) & Concentration of Triplet State ([M_T]) and hit the calculate button. Here is how the Phosphorescence Rate Constant calculation can be explained with given input values -> 2.5E+8 = 15750000/0.062.

FAQ

What is Phosphorescence Rate Constant?

The Phosphorescence Rate Constant formula is defined as the rate at which phosphorescence occurs during emission from triplet to singlet state. It is the constant for emission of light from triplet-excited states, in which the electron in the excited orbital has the same spin orientation as the ground-state electron and is represented as K_ph = R_p/[M_T] or Rate Constant of Phosphorescence = Rate of Phosphorescence/Concentration of Triplet State. Rate of Phosphorescence is the rate at which induced emission occurs & Concentration of Triplet State is the number of molecules present in triplet state.

How to calculate Phosphorescence Rate Constant?

The Phosphorescence Rate Constant formula is defined as the rate at which phosphorescence occurs during emission from triplet to singlet state. It is the constant for emission of light from triplet-excited states, in which the electron in the excited orbital has the same spin orientation as the ground-state electron is calculated using Rate Constant of Phosphorescence = Rate of Phosphorescence/Concentration of Triplet State. To calculate Phosphorescence Rate Constant, you need Rate of Phosphorescence (R_p) & Concentration of Triplet State ([M_T]). With our tool, you need to enter the respective value for Rate of Phosphorescence & 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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