Fluorescence Rate Constant Calculator

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Physical spectroscopy

Gaseous state

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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

✖Rate of Fluoroscence is the rate at which spontaneous emission occurs.ⓘ Rate of Fluoroscence [R_f]			+10% -10%
✖Singlet State Concentration is the number of molecules present in the singlet excited state.ⓘ Singlet State Concentration [[M_S1]]			+10% -10%

✖Rate Constant of Fluoroscence is the rate at which spontaneous emission occurs.ⓘ Fluorescence Rate Constant [K_f]

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Formula

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Fluorescence Rate Constant

Formula

`"K"_{"f"} = "R"_{"f"}/("[M"_{"S1"}"]")`

Example

`"750000rev/s"="15mol/L*s"/"2E^-5mol/L"`

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Fluorescence Rate Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate Constant of Fluoroscence = Rate of Fluoroscence/Singlet State Concentration
K_f = R_f/[M_S1]
This formula uses 3 Variables

Variables Used

Rate Constant of Fluoroscence - (Measured in Hertz) - Rate Constant of Fluoroscence is the rate at which spontaneous emission occurs.
Rate of Fluoroscence - (Measured in Mole per Cubic Meter Second) - Rate of Fluoroscence is the rate at which spontaneous emission occurs.
Singlet State Concentration - (Measured in Mole per Cubic Meter) - Singlet State Concentration is the number of molecules present in the singlet excited state.

STEP 1: Convert Input(s) to Base Unit

Rate of Fluoroscence: 15 Mole per Liter Second --> 15000 Mole per Cubic Meter Second (Check conversion here)
Singlet State Concentration: 2E-05 Mole per Liter --> 0.02 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_f = R_f/[M_S1] --> 15000/0.02

Evaluating ... ...

K_f = 750000

STEP 3: Convert Result to Output's Unit

750000 Hertz -->750000 Revolution per Second (Check conversion here)

FINAL ANSWER

750000 Revolution per Second <-- Rate Constant of Fluoroscence

(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

Fluorescence Rate Constant Formula

Rate Constant of Fluoroscence = Rate of Fluoroscence/Singlet State Concentration
K_f = R_f/[M_S1]

What is Fluorescence?

Fluorescence, emission of electromagnetic radiation, usually visible light, caused by excitation of atoms in a material, which then reemit almost immediately (within about 10−8 seconds).

What is meant by fluorescence quenching?

Fluorescence quenching refers to any process that decreases the fluorescence intensity of a sample. A variety of molecular interactions can result in quenching. These include excited-state reactions, molecular rearrangements, energy transfer, ground-state complex formation, and colli-sional quenching.

How to Calculate Fluorescence Rate Constant?

Fluorescence Rate Constant calculator uses Rate Constant of Fluoroscence = Rate of Fluoroscence/Singlet State Concentration to calculate the Rate Constant of Fluoroscence, Fluorescence Rate Constant formula is defined as the rate constant of the rate equation for at which spontaneous emission occurs. It can emit a photon and in the process get converted back to the ground state. This is fluorescence and the fluorescence decay process is a first-order rate process with a rate constant denoted by kf. Rate Constant of Fluoroscence is denoted by K_f symbol.

How to calculate Fluorescence Rate Constant using this online calculator? To use this online calculator for Fluorescence Rate Constant, enter Rate of Fluoroscence (R_f) & Singlet State Concentration ([M_S1]) and hit the calculate button. Here is how the Fluorescence Rate Constant calculation can be explained with given input values -> 750 = 15/0.02.

FAQ

What is Fluorescence Rate Constant?

Fluorescence Rate Constant formula is defined as the rate constant of the rate equation for at which spontaneous emission occurs. It can emit a photon and in the process get converted back to the ground state. This is fluorescence and the fluorescence decay process is a first-order rate process with a rate constant denoted by kf and is represented as K_f = R_f/[M_S1] or Rate Constant of Fluoroscence = Rate of Fluoroscence/Singlet State Concentration. Rate of Fluoroscence is the rate at which spontaneous emission occurs & Singlet State Concentration is the number of molecules present in the singlet excited state.

How to calculate Fluorescence Rate Constant?

Fluorescence Rate Constant formula is defined as the rate constant of the rate equation for at which spontaneous emission occurs. It can emit a photon and in the process get converted back to the ground state. This is fluorescence and the fluorescence decay process is a first-order rate process with a rate constant denoted by kf is calculated using Rate Constant of Fluoroscence = Rate of Fluoroscence/Singlet State Concentration. To calculate Fluorescence Rate Constant, you need Rate of Fluoroscence (R_f) & Singlet State Concentration ([M_S1]). With our tool, you need to enter the respective value for Rate of Fluoroscence & Singlet State Concentration 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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