Lifetime Ratio Calculator

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Physical spectroscopy

Gaseous state

Vapour Pressure

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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

✖Quenching Constant is the measure of quenching which decreases fluoroscene intensity.ⓘ Quenching Constant [K_q]			+10% -10%
✖Singlet Life time given Degree of Exciplex 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 given Degree of Exciplex [ζ_o]			+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%

✖Lifetime Ratio is the ratio of singlet state lifetime without quencher to singlet state lifetime with quencher of a given system.ⓘ Lifetime Ratio [Ratio_ζ]

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Formula

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Lifetime Ratio

Formula

`"Ratio"_{"ζ"} = 1+("K"_{"q"}*"ζ"_{"o"}*"[Q]")`

Example

`"8.2"=1+("6rev/s"*"0.8s"*"1.5")`

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Lifetime Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lifetime Ratio = 1+(Quenching Constant*Singlet Life time given Degree of Exciplex*Quencher Concentration given Degree of Exciplex)
Ratio_ζ = 1+(K_q*ζ_o*[Q])
This formula uses 4 Variables

Variables Used

Lifetime Ratio - Lifetime Ratio is the ratio of singlet state lifetime without quencher to singlet state lifetime with quencher of a given system.
Quenching Constant - (Measured in Hertz) - Quenching Constant is the measure of quenching which decreases fluoroscene intensity.
Singlet Life time given Degree of Exciplex - (Measured in Second) - Singlet Life time given Degree of Exciplex of a population is the time measured for the number of excited molecules to decay exponentially to N/e of the original population .
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

Quenching Constant: 6 Revolution per Second --> 6 Hertz (Check conversion here)
Singlet Life time given Degree of Exciplex: 0.8 Second --> 0.8 Second No Conversion Required
Quencher Concentration given Degree of Exciplex: 1.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ratio_ζ = 1+(K_q*ζ_o*[Q]) --> 1+(6*0.8*1.5)

Evaluating ... ...

Ratio_ζ = 8.2

STEP 3: Convert Result to Output's Unit

8.2 --> No Conversion Required

FINAL ANSWER

8.2 <-- Lifetime Ratio

(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

Lifetime Ratio Formula

Lifetime Ratio = 1+(Quenching Constant*Singlet Life time given Degree of Exciplex*Quencher Concentration given Degree of Exciplex)
Ratio_ζ = 1+(K_q*ζ_o*[Q])

What is concentration fluorescence quenching?

Quenching refers to any process which decreases the fluorescence intensity of a given substance. A variety of processes can result in quenching, such as excited state reactions, energy transfer, complex-formation and collisional quenching. As a consequence, quenching is often heavily dependent on pressure and temperature. Molecular oxygen, iodide ions and acrylamide are common chemical quenchers. The chloride ion is a well known quencher for quinine fluorescence. Quenching poses a problem for non-instant spectroscopic methods, such as laser-induced fluorescence.
Quenching is made use of in optode sensors; for instance the quenching effect of oxygen on certain ruthenium complexes allows the measurement of oxygen saturation in solution.

How to Calculate Lifetime Ratio?

Lifetime Ratio calculator uses Lifetime Ratio = 1+(Quenching Constant*Singlet Life time given Degree of Exciplex*Quencher Concentration given Degree of Exciplex) to calculate the Lifetime Ratio, Lifetime Ratio is the ratio of singlet state lifetime without quencher to singlet state lifetime with quencher of a given system. Lifetime Ratio is denoted by Ratio_ζ symbol.

How to calculate Lifetime Ratio using this online calculator? To use this online calculator for Lifetime Ratio, enter Quenching Constant (K_q), Singlet Life time given Degree of Exciplex (ζ_o) & Quencher Concentration given Degree of Exciplex ([Q]) and hit the calculate button. Here is how the Lifetime Ratio calculation can be explained with given input values -> 1.0108 = 1+(6*0.8*1.5).

FAQ

What is Lifetime Ratio?

Lifetime Ratio is the ratio of singlet state lifetime without quencher to singlet state lifetime with quencher of a given system and is represented as Ratio_ζ = 1+(K_q*ζ_o*[Q]) or Lifetime Ratio = 1+(Quenching Constant*Singlet Life time given Degree of Exciplex*Quencher Concentration given Degree of Exciplex). Quenching Constant is the measure of quenching which decreases fluoroscene intensity, Singlet Life time given Degree of Exciplex of a population is the time measured for the number of excited molecules to decay exponentially to N/e of the original population & Quencher Concentration given Degree of Exciplex is the concentration of substance that decreases fluoroscence intensity.

How to calculate Lifetime Ratio?

Lifetime Ratio is the ratio of singlet state lifetime without quencher to singlet state lifetime with quencher of a given system is calculated using Lifetime Ratio = 1+(Quenching Constant*Singlet Life time given Degree of Exciplex*Quencher Concentration given Degree of Exciplex). To calculate Lifetime Ratio, you need Quenching Constant (K_q), Singlet Life time given Degree of Exciplex (ζ_o) & Quencher Concentration given Degree of Exciplex ([Q]). With our tool, you need to enter the respective value for Quenching Constant, Singlet Life time given Degree of Exciplex & 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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