Intensity Ratio Calculator

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Physical spectroscopy

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Fluoroscence and Phosphorescence

Quantum Yield and Singlet Llifetime

✖Quencher Concentration given Degree of Exciplex is the concentration of substance that decreases fluoroscence intensity.ⓘ Quencher Concentration given Degree of Exciplex [[Q]]			+10% -10%
✖Quenching Constant is the measure of quenching which decreases fluoroscene intensity.ⓘ Quenching Constant [K_q]			+10% -10%
✖Rate Constant of Fluoroscence is the rate at which spontaneous emission occurs.ⓘ Rate Constant of Fluoroscence [K_f]			+10% -10%
✖Rate Constant of Non Radiative Reaction is defined as the rate at which deactivation occurs in the form of heat energy.ⓘ Rate Constant of Non Radiative Reaction [K_NR]			+10% -10%

✖Intensity Ratio is the ratio of intensity in absence of quencher to intensity in presence of quencher.ⓘ Intensity Ratio [Ratio_Io/I]

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Formula

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Intensity Ratio

Formula

`"Ratio"_{"Io/I "} = 1+("[Q]"*("K"_{"q"}/("K"_{"f"}+"K"_{"NR"})))`

Example

`"1.011465"=1+("1.5"*("6rev/s"/("750rev/s"+"35rev/s")))`

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Intensity Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Intensity Ratio = 1+(Quencher Concentration given Degree of Exciplex*(Quenching Constant/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction)))
Ratio_Io/I = 1+([Q]*(K_q/(K_f+K_NR)))
This formula uses 5 Variables

Variables Used

Intensity Ratio - Intensity Ratio is the ratio of intensity in absence of quencher to intensity in presence of quencher.
Quencher Concentration given Degree of Exciplex - Quencher Concentration given Degree of Exciplex is the concentration of substance that decreases fluoroscence intensity.
Quenching Constant - (Measured in Hertz) - Quenching Constant is the measure of quenching which decreases fluoroscene intensity.
Rate Constant of Fluoroscence - (Measured in Hertz) - Rate Constant of Fluoroscence is the rate at which spontaneous emission occurs.
Rate Constant of Non Radiative Reaction - (Measured in Hertz) - Rate Constant of Non Radiative Reaction is defined as the rate at which deactivation occurs in the form of heat energy.

STEP 1: Convert Input(s) to Base Unit

Quencher Concentration given Degree of Exciplex: 1.5 --> No Conversion Required
Quenching Constant: 6 Revolution per Second --> 6 Hertz (Check conversion here)
Rate Constant of Fluoroscence: 750 Revolution per Second --> 750 Hertz (Check conversion here)
Rate Constant of Non Radiative Reaction: 35 Revolution per Second --> 35 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ratio_Io/I = 1+([Q]*(K_q/(K_f+K_NR))) --> 1+(1.5*(6/(750+35)))

Evaluating ... ...

Ratio_Io/I = 1.01146496815287

STEP 3: Convert Result to Output's Unit

1.01146496815287 --> No Conversion Required

FINAL ANSWER

1.01146496815287 ≈ 1.011465 <-- Intensity 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

< 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

Intensity Ratio Formula

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).

Why does fluorescence intensity increase?

Dissolved oxygen in a solution increases the intensity of the fluorescence by photochemically inducing oxidation of the fluorescing species. Quenching results from the paramagnetic properties of molecular oxygen that promotes intersystem crossing and converts the excited molecules to triplet state.

How to Calculate Intensity Ratio?

Intensity Ratio calculator uses Intensity Ratio = 1+(Quencher Concentration given Degree of Exciplex*(Quenching Constant/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction))) to calculate the Intensity Ratio, The Intensity Ratio formula is the ratio of intensity in absence of quencher to intensity in presence of quencher. Intensity Ratio is denoted by Ratio_Io/I symbol.

How to calculate Intensity Ratio using this online calculator? To use this online calculator for Intensity Ratio, enter Quencher Concentration given Degree of Exciplex ([Q]), Quenching Constant (K_q), Rate Constant of Fluoroscence (K_f) & Rate Constant of Non Radiative Reaction (K_NR) and hit the calculate button. Here is how the Intensity Ratio calculation can be explained with given input values -> 1.011465 = 1+(1.5*(6/(750+35))).

FAQ

What is Intensity Ratio?

The Intensity Ratio formula is the ratio of intensity in absence of quencher to intensity in presence of quencher and is represented as Ratio_Io/I = 1+([Q]*(K_q/(K_f+K_NR))) or Intensity Ratio = 1+(Quencher Concentration given Degree of Exciplex*(Quenching Constant/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction))). Quencher Concentration given Degree of Exciplex is the concentration of substance that decreases fluoroscence intensity, Quenching Constant is the measure of quenching which decreases fluoroscene intensity, Rate Constant of Fluoroscence is the rate at which spontaneous emission occurs & Rate Constant of Non Radiative Reaction is defined as the rate at which deactivation occurs in the form of heat energy.

How to calculate Intensity Ratio?

The Intensity Ratio formula is the ratio of intensity in absence of quencher to intensity in presence of quencher is calculated using Intensity Ratio = 1+(Quencher Concentration given Degree of Exciplex*(Quenching Constant/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction))). To calculate Intensity Ratio, you need Quencher Concentration given Degree of Exciplex ([Q]), Quenching Constant (K_q), Rate Constant of Fluoroscence (K_f) & Rate Constant of Non Radiative Reaction (K_NR). With our tool, you need to enter the respective value for Quencher Concentration given Degree of Exciplex, Quenching Constant, Rate Constant of Fluoroscence & Rate Constant of Non Radiative Reaction 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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