Phosphorescence Rate Constant Calculator

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Fluoroscence and Phosphorescence

Quantum Yield and Singlet Llifetime

✖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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Formula

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Phosphorescence Rate Constant

Formula

`"K"_{"ph"} = "R"_{"p"}/("[M"_{"T"}"]")`

Example

`"2.5E^8rev/s"="15750mol/L*s"/"6.2E^-5mol/L"`

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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 00.020 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

Phosphorescence Rate Constant Formula

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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