Rate of ISC Calculator

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Quantum Yield and Singlet Llifetime

✖Rate Constant of Intersystem Crossing is the rate of decay from excited singlet electronic state to triplet state.ⓘ Rate Constant of Intersystem Crossing [K_ISC]			+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 ISC is the rate of an isoenergetic radiationless process involving a transition between the two electronic states with different spin multiplicity.ⓘ Rate of ISC [Rate_ISC]

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Formula

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Rate of ISC

Formula

`"Rate"_{"ISC"} = "K"_{"ISC"}*("[M"_{"S1"}"]")`

Example

`"1.28mol/L*s"="64000rev/s"*"2E^-5mol/L"`

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Rate of ISC Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of ISC = Rate Constant of Intersystem Crossing*Singlet State Concentration
Rate_ISC = K_ISC*[M_S1]
This formula uses 3 Variables

Variables Used

Rate of ISC - (Measured in Mole per Cubic Meter Second) - Rate of ISC is the rate of an isoenergetic radiationless process involving a transition between the two electronic states with different spin multiplicity.
Rate Constant of Intersystem Crossing - (Measured in Hertz) - Rate Constant of Intersystem Crossing is the rate of decay from excited singlet electronic state to triplet state.
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

Rate Constant of Intersystem Crossing: 64000 Revolution per Second --> 64000 Hertz (Check conversion here)
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

Rate_ISC = K_ISC*[M_S1] --> 64000*0.02

Evaluating ... ...

Rate_ISC = 1280

STEP 3: Convert Result to Output's Unit

1280 Mole per Cubic Meter Second -->1.28 Mole per Liter Second (Check conversion here)

FINAL ANSWER

1.28 Mole per Liter Second <-- Rate of ISC

(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

Rate of ISC Formula

Rate of ISC = Rate Constant of Intersystem Crossing*Singlet State Concentration
Rate_ISC = K_ISC*[M_S1]

what is emission spectroscopy ?

Atomic emission spectroscopy is a method of chemical analysis that uses the intensity of light emitted from a flame, plasma, arc, or spark at a particular wavelength to determine the quantity of an element in a sample

What is intersystem crossing in chemistry?

Intersystem crossing (ISC), formally forbidden within nonrelativistic quantum theory, is the mechanism by which a molecule changes its spin state. It plays an important role in the excited state decay dynamics of many molecular systems and not just those containing heavy elements.

How to Calculate Rate of ISC?

Rate of ISC calculator uses Rate of ISC = Rate Constant of Intersystem Crossing*Singlet State Concentration to calculate the Rate of ISC, The Rate of ISC is defined as the rate of an isoenergetic radiation less process involving a transition between the two electronic states with different spin multiplicity. It is the constant for a process where there is a crossover between electronic states of different multiplicity as demonstrated in the singlet state to a triplet state (S1 to T1) . Rate of ISC is denoted by Rate_ISC symbol.

How to calculate Rate of ISC using this online calculator? To use this online calculator for Rate of ISC, enter Rate Constant of Intersystem Crossing (K_ISC) & Singlet State Concentration ([M_S1]) and hit the calculate button. Here is how the Rate of ISC calculation can be explained with given input values -> 0.00128 = 64000*0.02.

FAQ

What is Rate of ISC?

The Rate of ISC is defined as the rate of an isoenergetic radiation less process involving a transition between the two electronic states with different spin multiplicity. It is the constant for a process where there is a crossover between electronic states of different multiplicity as demonstrated in the singlet state to a triplet state (S1 to T1) and is represented as Rate_ISC = K_ISC*[M_S1] or Rate of ISC = Rate Constant of Intersystem Crossing*Singlet State Concentration. Rate Constant of Intersystem Crossing is the rate of decay from excited singlet electronic state to triplet state & Singlet State Concentration is the number of molecules present in the singlet excited state.

How to calculate Rate of ISC?

The Rate of ISC is defined as the rate of an isoenergetic radiation less process involving a transition between the two electronic states with different spin multiplicity. It is the constant for a process where there is a crossover between electronic states of different multiplicity as demonstrated in the singlet state to a triplet state (S1 to T1) is calculated using Rate of ISC = Rate Constant of Intersystem Crossing*Singlet State Concentration. To calculate Rate of ISC, you need Rate Constant of Intersystem Crossing (K_ISC) & Singlet State Concentration ([M_S1]). With our tool, you need to enter the respective value for Rate Constant of Intersystem Crossing & 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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