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)))
RatioIo/I = 1+([Q]*(Kq/(Kf+KNR)))
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
RatioIo/I = 1+([Q]*(Kq/(Kf+KNR))) --> 1+(1.5*(6/(750+35)))
Evaluating ... ...
RatioIo/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 00.020 seconds)

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Emission Spectroscopy Calculators

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))
Collisional Energy Transfer
​ Go Rate of Collisional Energy Transfer = Quenching Constant*Quencher Concentration given Degree of Exciplex*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

Fluoroscence and Phosphorescence Calculators

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)
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)
Fluorescence Rate Constant
​ Go Rate Constant of Fluoroscence = Rate of Fluoroscence/Singlet State Concentration

Intensity Ratio Formula

Intensity Ratio = 1+(Quencher Concentration given Degree of Exciplex*(Quenching Constant/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction)))
RatioIo/I = 1+([Q]*(Kq/(Kf+KNR)))

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 RatioIo/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 (Kq), Rate Constant of Fluoroscence (Kf) & Rate Constant of Non Radiative Reaction (KNR) 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 RatioIo/I = 1+([Q]*(Kq/(Kf+KNR))) 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 (Kq), Rate Constant of Fluoroscence (Kf) & Rate Constant of Non Radiative Reaction (KNR). 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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