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Steady State Approximation Formula

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Singlet State Concentration for Steady State is the number of molecules present in the singlet excited state. Check FAQs

[M2 S1] = \frac{K eq \cdot (1 - α)}{K f + K NR}

[M2_S1] - Singlet State Concentration for Steady State?K_eq - Equilibrium Constant for Coordinate Complexes?α - Degree of Exciplex Formation?K_f - Rate Constant of Fluoroscence?K_NR - Rate Constant of Non Radiative Reaction?

Steady State Approximation Example

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Here is how the Steady State Approximation equation looks like with Values.

Here is how the Steady State Approximation equation looks like with Units.

Here is how the Steady State Approximation equation looks like.

1.1E-6 = \frac{0.009 \cdot (1 - 0.9)}{750 + 35}

1.1E-6mol/L = \frac{0.009mol/L*s \cdot (1 - 0.9)}{750rev/s + 35rev/s}

1.1E-6 = \frac{0.009 \cdot (1 - 0.9)}{750 + 35}

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Steady State Approximation Solution

Follow our step by step solution on how to calculate Steady State Approximation?

FIRST Step Consider the formula

[M2 S1] = \frac{K eq \cdot (1 - α)}{K f + K NR}

Next Step Substitute values of Variables

∴

[M2 S1] = \frac{0.009mol/L*s \cdot (1 - 0.9)}{750rev/s + 35rev/s}

Next Step Convert Units

∴

[M2 S1] = \frac{9mol/m³*s \cdot (1 - 0.9)}{750Hz + 35Hz}

Next Step Prepare to Evaluate

∴

[M2 S1] = \frac{9 \cdot (1 - 0.9)}{750 + 35}

Next Step Evaluate

∴

[M2 S1] = 0.00114649681528662mol/m³

Next Step Convert to Output's Unit

∴

[M2 S1] = 1.14649681528662E-06mol/L

LAST Step Rounding Answer

∴

[M2 S1] = 1.1E-6mol/L

Steady State Approximation Formula Elements

Variables

Singlet State Concentration for Steady State

Singlet State Concentration for Steady State is the number of molecules present in the singlet excited state.

Symbol: [M2_S1]

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Singlet State Concentration for Steady State

Equilibrium Constant for Coordinate Complexes

Equilibrium Constant for Coordinate Complexes is a stability constant (also called formation constant or binding constant) for the formation of a complex in solution.

Symbol: K_eq

Measurement: Reaction RateUnit: mol/L*s

Note: Value can be positive or negative.

Formulas to find Equilibrium Constant for Coordinate Complexes

Degree of Exciplex Formation

Degree of Exciplex Formation is the fraction of intermediates in photoreactions that lead to unique products.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Degree of Exciplex Formation

Rate Constant of Fluoroscence

Rate Constant of Fluoroscence is the rate at which spontaneous emission occurs.

Symbol: K_f

Measurement: FrequencyUnit: rev/s

Note: Value can be positive or negative.

Formulas to find Rate Constant of Fluoroscence

Rate Constant of Non Radiative Reaction

Rate Constant of Non Radiative Reaction is defined as the rate at which deactivation occurs in the form of heat energy.

Symbol: K_NR

Measurement: FrequencyUnit: rev/s

Note: Value can be positive or negative.

Formulas to find Rate Constant of Non Radiative Reaction

Other formulas in Emission Spectroscopy category

Go Collisional Energy Transfer

R collision = K q \cdot [Q] \cdot [M S1]

Go Degree of Exciplex Formation

α = \frac{K eq \cdot [Q]}{1 + (K eq \cdot [Q])}

Go Difference in Acidity between Ground and Excited State

Δpka = pKa Excited - pKa ground

Go Equilibrium Constant for Exciplex Formation

K eq = \frac{1}{1 - α} - 1

How to Evaluate Steady State Approximation?

Steady State Approximation evaluator 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 evaluate 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 evaluate Steady State Approximation using this online evaluator? To use this online evaluator 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.

FAQs on Steady State Approximation

What is the formula to find Steady State Approximation?

The formula of Steady State Approximation is expressed as 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). Here is an example- 1.1E-9 = (9*(1-0.9))/(750+35).

How to calculate Steady State Approximation?

With 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) we can find Steady State Approximation using the formula - 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).

Can the Steady State Approximation be negative?

Yes, the Steady State Approximation, measured in Molar Concentration can be negative.

Which unit is used to measure Steady State Approximation?

Steady State Approximation is usually measured using the Mole per Liter[mol/L] for Molar Concentration. Mole per Cubic Meter[mol/L], Mole per Cubic Millimeter[mol/L], Kilomole per Cubic Meter[mol/L] are the few other units in which Steady State Approximation can be measured.

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Steady State Approximation Formula

Steady State Approximation Example

Steady State Approximation Solution

Steady State Approximation Formula Elements

Other formulas in Emission Spectroscopy category

How to Evaluate Steady State Approximation?

FAQs on Steady State Approximation

Variable Name