ISC Rate Constant Calculator

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Quantum Yield and Singlet Llifetime

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

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Formula

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ISC Rate Constant

Formula

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

Example

`"64000rev/s"="3200mol/L*s"*"2E^-5mol/L"`

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ISC Rate Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Rate Constant of ISC - (Measured in Hertz) - Rate Constant of ISC is the rate of decay from excited singlet electronic state to triplet state.
Rate of Intersystem Crossing - (Measured in Mole per Cubic Meter Second) - Rate of Intersystem Crossing is the rate of an isoenergetic radiationless process involving a transition between the two electronic states with different spin multiplicity.
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 of Intersystem Crossing: 3200 Mole per Liter Second --> 3200000 Mole per Cubic Meter Second (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

K_i = R_ISC*[M_S1] --> 3200000*0.02

Evaluating ... ...

K_i = 64000

STEP 3: Convert Result to Output's Unit

64000 Hertz -->64000 Revolution per Second (Check conversion here)

FINAL ANSWER

64000 Revolution per Second <-- Rate Constant 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

< 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

ISC Rate Constant Formula

Rate Constant of ISC = Rate of Intersystem Crossing*Singlet State Concentration
K_i = R_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 the duration of phosphorescence?

Unlike fluorescence, in which the absorbed light is spontaneously emitted about 10-8 second after excitation, phosphorescence requires additional excitation to produce radiation and may last from about 10-3 second to days or years, depending on the circumstances.

How to Calculate ISC Rate Constant?

ISC Rate Constant calculator uses Rate Constant of ISC = Rate of Intersystem Crossing*Singlet State Concentration to calculate the Rate Constant of ISC, The ISC Rate Constant formula is defined as the rate of decay from excited singlet electronic state to triplet state. It is the constant of a dynamical process that arises from spin-orbit coupling between electronic states belonging to different electron spin multiplicities. Rate Constant of ISC is denoted by K_i symbol.

How to calculate ISC Rate Constant using this online calculator? To use this online calculator for ISC Rate Constant, enter Rate of Intersystem Crossing (R_ISC) & Singlet State Concentration ([M_S1]) and hit the calculate button. Here is how the ISC Rate Constant calculation can be explained with given input values -> 64000 = 3200000*0.02.

FAQ

What is ISC Rate Constant?

The ISC Rate Constant formula is defined as the rate of decay from excited singlet electronic state to triplet state. It is the constant of a dynamical process that arises from spin-orbit coupling between electronic states belonging to different electron spin multiplicities and is represented as K_i = R_ISC*[M_S1] or Rate Constant of ISC = Rate of Intersystem Crossing*Singlet State Concentration. Rate of Intersystem Crossing is the rate of an isoenergetic radiationless process involving a transition between the two electronic states with different spin multiplicity & Singlet State Concentration is the number of molecules present in the singlet excited state.

How to calculate ISC Rate Constant?

The ISC Rate Constant formula is defined as the rate of decay from excited singlet electronic state to triplet state. It is the constant of a dynamical process that arises from spin-orbit coupling between electronic states belonging to different electron spin multiplicities is calculated using Rate Constant of ISC = Rate of Intersystem Crossing*Singlet State Concentration. To calculate ISC Rate Constant, you need Rate of Intersystem Crossing (R_ISC) & Singlet State Concentration ([M_S1]). With our tool, you need to enter the respective value for Rate 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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