Collisional Energy Transfer Calculator

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Physical 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%
✖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 State Concentration is the number of molecules present in the singlet excited state.ⓘ Singlet State Concentration [[M_S1]]			+10% -10%

✖Rate of Collisional Energy Transfer is defined as the rate at which the kinetic energy is carried between two bodies that collide with one another.ⓘ Collisional Energy Transfer [R_collision]

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Formula

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Collisional Energy Transfer

Formula

`"R"_{"collision "} = "K"_{"q"}*"[Q]"*("[M"_{"S1"}"]")`

Example

`"0.00018mol/L*s"="6rev/s"*"1.5"*"2E^-5mol/L"`

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Collisional Energy Transfer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Collisional Energy Transfer = Quenching Constant*Quencher Concentration given Degree of Exciplex*Singlet State Concentration
R_collision = K_q*[Q]*[M_S1]
This formula uses 4 Variables

Variables Used

Rate of Collisional Energy Transfer - (Measured in Mole per Cubic Meter Second) - Rate of Collisional Energy Transfer is defined as the rate at which the kinetic energy is carried between two bodies that collide with one another.
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.
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

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

R_collision = K_q*[Q]*[M_S1] --> 6*1.5*0.02

Evaluating ... ...

R_collision = 0.18

STEP 3: Convert Result to Output's Unit

0.18 Mole per Cubic Meter Second -->0.00018 Mole per Liter Second (Check conversion here)

FINAL ANSWER

0.00018 Mole per Liter Second <-- Rate of Collisional Energy Transfer

(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

ISC Rate Constant

Go Rate Constant of ISC = Rate of Intersystem Crossing*Singlet State Concentration

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)

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

Collisional Energy Transfer Formula

Rate of Collisional Energy Transfer = Quenching Constant*Quencher Concentration given Degree of Exciplex*Singlet State Concentration
R_collision = K_q*[Q]*[M_S1]

What is Collision?

Collision means two objects coming into contact with each other for a very short period. In other words, collision is a reciprocative interaction between two masses for a very short interval wherein the momentum and energy of the colliding masses changes.

How to Calculate Collisional Energy Transfer?

Collisional Energy Transfer calculator uses Rate of Collisional Energy Transfer = Quenching Constant*Quencher Concentration given Degree of Exciplex*Singlet State Concentration to calculate the Rate of Collisional Energy Transfer, The Collisional Energy Transfer formula is defined as the rate of transfer of kinetic energy between two colliding bodies. It is directly proportional to Singlet state concentration and quencher concentration. Rate of Collisional Energy Transfer is denoted by R_collision symbol.

How to calculate Collisional Energy Transfer using this online calculator? To use this online calculator for Collisional Energy Transfer, enter Quenching Constant (K_q), Quencher Concentration given Degree of Exciplex ([Q]) & Singlet State Concentration ([M_S1]) and hit the calculate button. Here is how the Collisional Energy Transfer calculation can be explained with given input values -> 1.8E-7 = 6*1.5*0.02.

FAQ

What is Collisional Energy Transfer?

The Collisional Energy Transfer formula is defined as the rate of transfer of kinetic energy between two colliding bodies. It is directly proportional to Singlet state concentration and quencher concentration and is represented as R_collision = K_q*[Q]*[M_S1] or Rate of Collisional Energy Transfer = Quenching Constant*Quencher Concentration given Degree of Exciplex*Singlet State Concentration. 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 & Singlet State Concentration is the number of molecules present in the singlet excited state.

How to calculate Collisional Energy Transfer?

The Collisional Energy Transfer formula is defined as the rate of transfer of kinetic energy between two colliding bodies. It is directly proportional to Singlet state concentration and quencher concentration is calculated using Rate of Collisional Energy Transfer = Quenching Constant*Quencher Concentration given Degree of Exciplex*Singlet State Concentration. To calculate Collisional Energy Transfer, you need Quenching Constant (K_q), Quencher Concentration given Degree of Exciplex ([Q]) & Singlet State Concentration ([M_S1]). With our tool, you need to enter the respective value for Quenching Constant, Quencher Concentration given Degree of Exciplex & 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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