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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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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 00.020 seconds)

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Degree of Exciplex Formation

LaTeX 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

LaTeX 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

LaTeX Go Difference in pka = pKa of Excited State-pKa of Ground State

Equilibrium Constant for Exciplex Formation

LaTeX Go Equilibrium Constant for Coordinate Complexes = 1/(1-Degree of Exciplex Formation)-1

Steady State Approximation Formula

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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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