Steady State Approximation Calculator

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✖Equilibrium Constant for Coordinate Complexes is a stability constant (also called formation constant or binding constant) for the formation of a complex in solution.ⓘ Equilibrium Constant for Coordinate Complexes [K_eq]			+10% -10%
✖Degree of Exciplex Formation is the fraction of intermediates in photoreactions that lead to unique products.ⓘ Degree of Exciplex Formation [α]			+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%

✖Singlet State Concentration for Steady State is the number of molecules present in the singlet excited state.ⓘ Steady State Approximation [[M2_S1]]

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Formula

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Steady State Approximation

Formula

`("[M2"_{"S1"}"]") = ("K"_{"eq"}*(1-"α"))/("K"_{"f"}+"K"_{"NR"})`

Example

`"1.1E^-6mol/L"=("0.009mol/L*s"*(1-"0.9"))/("750rev/s"+"35rev/s")`

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Steady State Approximation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Singlet State Concentration for Steady State = (Equilibrium Constant for Coordinate Complexes*(1-Degree of Exciplex Formation))/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction)
[M2_S1] = (K_eq*(1-α))/(K_f+K_NR)
This formula uses 5 Variables

Variables Used

Singlet State Concentration for Steady State - (Measured in Mole per Cubic Meter) - Singlet State Concentration for Steady State is the number of molecules present in the singlet excited state.
Equilibrium Constant for Coordinate Complexes - (Measured in Mole per Cubic Meter Second) - Equilibrium Constant for Coordinate Complexes is a stability constant (also called formation constant or binding constant) for the formation of a complex in solution.
Degree of Exciplex Formation - Degree of Exciplex Formation is the fraction of intermediates in photoreactions that lead to unique products.
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

Equilibrium Constant for Coordinate Complexes: 0.009 Mole per Liter Second --> 9 Mole per Cubic Meter Second (Check conversion here)
Degree of Exciplex Formation: 0.9 --> No Conversion Required
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

[M2_S1] = (K_eq*(1-α))/(K_f+K_NR) --> (9*(1-0.9))/(750+35)

Evaluating ... ...

[M2_S1] = 0.00114649681528662

STEP 3: Convert Result to Output's Unit

0.00114649681528662 Mole per Cubic Meter -->1.14649681528662E-06 Mole per Liter (Check conversion here)

FINAL ANSWER

1.14649681528662E-06 ≈ 1.1E-6 Mole per Liter <-- Singlet State Concentration for Steady State

(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

Steady State Approximation Formula

What is the steady state assumption?

In this assumption, the concentrations of the intermediates of a reaction remain the same even when the concentrations of starting materials and products are changing. Steady state occurs when the rate of formation and breakdown of the intermediate are equal. The steady state assumption relies on the fact that both the formation of the intermediate from reactants and the formation of products from the intermediate have rates much higher than their corresponding reverse reactions.

How to Calculate Steady State Approximation?

Steady State Approximation calculator uses Singlet State Concentration for Steady State = (Equilibrium Constant for Coordinate Complexes*(1-Degree of Exciplex Formation))/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction) to calculate the Singlet State Concentration for Steady State, The Steady State Approximation formula is defined as a method used to derive a rate law. The method is based on the assumption that one intermediate in the reaction mechanism is consumed as quickly as it is generated. Its concentration remains the same in a duration of the reaction. Singlet State Concentration for Steady State is denoted by [M2_S1] symbol.

How to calculate Steady State Approximation using this online calculator? To use this online calculator for Steady State Approximation, enter Equilibrium Constant for Coordinate Complexes (K_eq), Degree of Exciplex Formation (α), Rate Constant of Fluoroscence (K_f) & Rate Constant of Non Radiative Reaction (K_NR) and hit the calculate button. Here is how the Steady State Approximation calculation can be explained with given input values -> 1.1E-9 = (9*(1-0.9))/(750+35).

FAQ

What is Steady State Approximation?

The Steady State Approximation formula is defined as a method used to derive a rate law. The method is based on the assumption that one intermediate in the reaction mechanism is consumed as quickly as it is generated. Its concentration remains the same in a duration of the reaction and is represented as [M2_S1] = (K_eq*(1-α))/(K_f+K_NR) or Singlet State Concentration for Steady State = (Equilibrium Constant for Coordinate Complexes*(1-Degree of Exciplex Formation))/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction). Equilibrium Constant for Coordinate Complexes is a stability constant (also called formation constant or binding constant) for the formation of a complex in solution, Degree of Exciplex Formation is the fraction of intermediates in photoreactions that lead to unique products, 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 Steady State Approximation?

The Steady State Approximation formula is defined as a method used to derive a rate law. The method is based on the assumption that one intermediate in the reaction mechanism is consumed as quickly as it is generated. Its concentration remains the same in a duration of the reaction is calculated using Singlet State Concentration for Steady State = (Equilibrium Constant for Coordinate Complexes*(1-Degree of Exciplex Formation))/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction). To calculate Steady State Approximation, you need Equilibrium Constant for Coordinate Complexes (K_eq), Degree of Exciplex Formation (α), 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 Equilibrium Constant for Coordinate Complexes, Degree of Exciplex Formation, 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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