Singlet Life Time of Radiative Process Calculator

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Quantum Yield and Singlet Llifetime

✖Initial Intensity flux of radiant energy is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy.ⓘ Initial Intensity [Io]			+10% -10%
✖Fluorosence Intensity formula is defined as the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy.ⓘ Fluorosence Intensity [I_F]			+10% -10%
✖Quenching Constant is the measure of quenching which decreases fluoroscene intensity.ⓘ Quenching Constant [K_q]			+10% -10%
✖Quencher Concentration given Degree of Exciplex is the concentration of substance that decreases fluoroscence intensity.ⓘ Quencher Concentration given Degree of Exciplex [[Q]]			+10% -10%

✖Singlet Life time of Radiative Process of a population is the time measured for the number of excited molecules to decay exponentially to N/e of the original population .ⓘ Singlet Life Time of Radiative Process [ζ_rp]

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Formula

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Singlet Life Time of Radiative Process

Formula

`"ζ"_{"rp"} = (("Io"/"I"_{"F"})-1)/("K"_{"q"}*"[Q]")`

Example

`"0.12037s"=(("500W/m²"/"240W/m²")-1)/("6rev/s"*"1.5")`

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Singlet Life Time of Radiative Process Solution

STEP 0: Pre-Calculation Summary

Formula Used

Singlet Life time of Radiative Process = ((Initial Intensity/Fluorosence Intensity)-1)/(Quenching Constant*Quencher Concentration given Degree of Exciplex)
ζ_rp = ((Io/I_F)-1)/(K_q*[Q])
This formula uses 5 Variables

Variables Used

Singlet Life time of Radiative Process - (Measured in Second) - Singlet Life time of Radiative Process of a population is the time measured for the number of excited molecules to decay exponentially to N/e of the original population .
Initial Intensity - (Measured in Watt per Square Meter) - Initial Intensity flux of radiant energy is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy.
Fluorosence Intensity - (Measured in Watt per Square Meter) - Fluorosence Intensity formula is defined as the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy.
Quenching Constant - (Measured in Hertz) - Quenching Constant is the measure of quenching which decreases fluoroscene intensity.
Quencher Concentration given Degree of Exciplex - Quencher Concentration given Degree of Exciplex is the concentration of substance that decreases fluoroscence intensity.

STEP 1: Convert Input(s) to Base Unit

Initial Intensity: 500 Watt per Square Meter --> 500 Watt per Square Meter No Conversion Required
Fluorosence Intensity: 240 Watt per Square Meter --> 240 Watt per Square Meter No Conversion Required
Quenching Constant: 6 Revolution per Second --> 6 Hertz (Check conversion here)
Quencher Concentration given Degree of Exciplex: 1.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζ_rp = ((Io/I_F)-1)/(K_q*[Q]) --> ((500/240)-1)/(6*1.5)

Evaluating ... ...

ζ_rp = 0.12037037037037

STEP 3: Convert Result to Output's Unit

0.12037037037037 Second --> No Conversion Required

FINAL ANSWER

0.12037037037037 ≈ 0.12037 Second <-- Singlet Life time of Radiative Process

(Calculation completed in 00.004 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

< 13 Quantum Yield and Singlet Llifetime Calculators

Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant

Go Phosphosecence Quantum Yield given TTA Constant = (Phosphorescence Rate Constant*ISC Quantum Yield)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation)

Phosphorescence Quantum Yield given Intersystem Quantum Yield

Go Phosphorescence Quantum Yield given ISC = (Phosphorescence Rate Constant/Absorption Intensity)*(((Absorption Intensity*Triplet State Quantum Yield)/Rate Constant of Triplet Triplet Anhilation)^(1/2))

Phosphorescence Quantum Yield given Fluoroscence Quantum Yield

Go Phosphorescence Quantum Yield given φf = Fluorosecence Quantum Yield*((Phosphorescence Rate Constant*Concentration of Triplet State)/(Rate Constant of Fluoroscence*Singlet State Concentration))

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))

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)

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)

Singlet Life Time

Go Singlet Life time = 1/(Rate Constant of Intersystem Crossing+Rate of Radiative Reaction+Rate of Internal Conversion+Quenching Constant)

Phosphorescence Quantum Yield

Go Quantum Yield of Phosphorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate Constant of Non Radiative Reaction)

Triplet State Quantum yield

Go Quantum Yield of Triplet State = (Rate Constant of Intersystem Crossing*Singlet State Concentration)/Absorption Intensity

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)

Singlet Radiative Fluorescence Lifetime

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

Singlet Radiative Phosphorescence Lifetime

Go Singlet Radiative Phosphorescence Lifetime = 1/Rate of Phosphorescence

Singlet Life Time of Radiative Process Formula

Singlet Life time of Radiative Process = ((Initial Intensity/Fluorosence Intensity)-1)/(Quenching Constant*Quencher Concentration given Degree of Exciplex)
ζ_rp = ((Io/I_F)-1)/(K_q*[Q])

What is the concept of singlet state?

Singlet state is defined when all the electron spins are paired in the molecular electronic state and the electronic energy levels do not split when the molecule is exposed into a magnetic field. A singlet or a triplet can form when one electron is excited to a higher energy level. In an excited singlet state, the electron is promoted in the same spin orientation as it was in the ground state (paired).

How to Calculate Singlet Life Time of Radiative Process?

Singlet Life Time of Radiative Process calculator uses Singlet Life time of Radiative Process = ((Initial Intensity/Fluorosence Intensity)-1)/(Quenching Constant*Quencher Concentration given Degree of Exciplex) to calculate the Singlet Life time of Radiative Process, Singlet Life Time of Radiative Process is the characteristic time that a molecule remains in its excited state before returning to the ground state. In solution, the excited singlet state of a substance has a lifetime of about 3 ns and decays via fluorescence, intersystem crossing to the triplet state, and non-radiative internal conversion to the ground state with yields of 20%, 30%, and 50%, respectively. Singlet Life time of Radiative Process is denoted by ζ_rp symbol.

How to calculate Singlet Life Time of Radiative Process using this online calculator? To use this online calculator for Singlet Life Time of Radiative Process, enter Initial Intensity (Io), Fluorosence Intensity (I_F), Quenching Constant (K_q) & Quencher Concentration given Degree of Exciplex ([Q]) and hit the calculate button. Here is how the Singlet Life Time of Radiative Process calculation can be explained with given input values -> 0.12037 = ((500/240)-1)/(6*1.5).

FAQ

What is Singlet Life Time of Radiative Process?

Singlet Life Time of Radiative Process is the characteristic time that a molecule remains in its excited state before returning to the ground state. In solution, the excited singlet state of a substance has a lifetime of about 3 ns and decays via fluorescence, intersystem crossing to the triplet state, and non-radiative internal conversion to the ground state with yields of 20%, 30%, and 50%, respectively and is represented as ζ_rp = ((Io/I_F)-1)/(K_q*[Q]) or Singlet Life time of Radiative Process = ((Initial Intensity/Fluorosence Intensity)-1)/(Quenching Constant*Quencher Concentration given Degree of Exciplex). Initial Intensity flux of radiant energy is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy, Fluorosence Intensity formula is defined as the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy, Quenching Constant is the measure of quenching which decreases fluoroscene intensity & Quencher Concentration given Degree of Exciplex is the concentration of substance that decreases fluoroscence intensity.

How to calculate Singlet Life Time of Radiative Process?

Singlet Life Time of Radiative Process is the characteristic time that a molecule remains in its excited state before returning to the ground state. In solution, the excited singlet state of a substance has a lifetime of about 3 ns and decays via fluorescence, intersystem crossing to the triplet state, and non-radiative internal conversion to the ground state with yields of 20%, 30%, and 50%, respectively is calculated using Singlet Life time of Radiative Process = ((Initial Intensity/Fluorosence Intensity)-1)/(Quenching Constant*Quencher Concentration given Degree of Exciplex). To calculate Singlet Life Time of Radiative Process, you need Initial Intensity (Io), Fluorosence Intensity (I_F), Quenching Constant (K_q) & Quencher Concentration given Degree of Exciplex ([Q]). With our tool, you need to enter the respective value for Initial Intensity, Fluorosence Intensity, Quenching Constant & Quencher Concentration given Degree of Exciplex 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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