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Triplet State Concentration Formula

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Concentration of Triplet State is the number of molecules present in triplet state. Check FAQs

[M T] = \frac{φ_ISC \cdot I a}{K p + K ISC + K TTA}

[M_T] - Concentration of Triplet State?φ_{_ISC} - Triplet State Quantum Yield?I_a - Absorption Intensity?K_p - Phosphorescence Rate Constant?K_ISC - Rate Constant of Intersystem Crossing?K_TTA - Rate Constant of Triplet Triplet Anhilation?

Triplet State Concentration Example

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Here is how the Triplet State Concentration equation looks like with Values.

Here is how the Triplet State Concentration equation looks like with Units.

Here is how the Triplet State Concentration equation looks like.

0.0002 = \frac{40 \cdot 250}{45 + 64000 + 65}

0.0002mol/L = \frac{40 \cdot 250W/m²}{45rev/s + 64000rev/s + 65L/(mol*s)}

0.0002 = \frac{40 \cdot 250}{45 + 64000 + 65}

Tip: Use pencil () icon above to edit Input Values and Units.

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Triplet State Concentration Solution

Follow our step by step solution on how to calculate Triplet State Concentration?

FIRST Step Consider the formula

[M T] = \frac{φ_ISC \cdot I a}{K p + K ISC + K TTA}

Next Step Substitute values of Variables

∴

[M T] = \frac{40 \cdot 250W/m²}{45rev/s + 64000rev/s + 65L/(mol*s)}

Next Step Convert Units

∴

[M T] = \frac{40 \cdot 250W/m²}{45Hz + 64000Hz + 0.065m³/(mol*s)}

Next Step Prepare to Evaluate

∴

[M T] = \frac{40 \cdot 250}{45 + 64000 + 0.065}

Next Step Evaluate

∴

[M T] = 0.156140055443772mol/m³

Next Step Convert to Output's Unit

∴

[M T] = 0.000156140055443772mol/L

LAST Step Rounding Answer

∴

[M T] = 0.0002mol/L

Triplet State Concentration Formula Elements

Variables

Concentration of Triplet State

Concentration of Triplet State is the number of molecules present in triplet state.

Symbol: [M_T]

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Triplet State Quantum Yield

Triplet State Quantum yield is the rate if triplet state intensity to absorption intensity.

Symbol: φ_{_ISC}

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Absorption Intensity

Absorption Intensity obtained by integrating the area under the absorption line—is proportional to the amount of the absorbing substance present.

Symbol: I_a

Measurement: IntensityUnit: W/m²

Note: Value can be positive or negative.

Phosphorescence Rate Constant

Phosphorescence Rate Constant is defined as the rate at which phosphorescence occurs during emission from triplet to singlet state.

Symbol: K_p

Measurement: FrequencyUnit: rev/s

Note: Value can be positive or negative.

Rate Constant of Intersystem Crossing

Rate Constant of Intersystem Crossing is the rate of decay from excited singlet electronic state to triplet state.

Symbol: K_ISC

Measurement: FrequencyUnit: rev/s

Note: Value can be positive or negative.

Rate Constant of Triplet Triplet Anhilation

Rate constant of Triplet Triplet Anhilation is the measure of energy transfer mechanism between two molecules in their triplet state, and is related to the Dexter energy transfer mechanism.

Symbol: K_TTA

Measurement: Second Order Reaction Rate ConstantUnit: L/(mol*s)

Note: Value can be positive or negative.

Credits

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Created by Torsha_Paul

University of Calcutta (CU), Kolkata

Torsha_Paul has created this Formula and 200+ more formulas!

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Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Formula and 1600+ more formulas!

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Δpka = pKa Excited - pKa ground

Go Equilibrium Constant for Exciplex Formation

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See More

How to Evaluate Triplet State Concentration?

Triplet State Concentration evaluator uses Concentration of Triplet State = (Triplet State Quantum Yield*Absorption Intensity)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation) to evaluate the Concentration of Triplet State, The Triplet State Concentration formula is defined as the number of molecules present in triplet state. Concentration of Triplet State is denoted by [M_T] symbol.

How to evaluate Triplet State Concentration using this online evaluator? To use this online evaluator for Triplet State Concentration, enter Triplet State Quantum Yield (φ_{_ISC}), Absorption Intensity (I_a), Phosphorescence Rate Constant (K_p), Rate Constant of Intersystem Crossing (K_ISC) & Rate Constant of Triplet Triplet Anhilation (K_TTA) and hit the calculate button.

FAQs on Triplet State Concentration

What is the formula to find Triplet State Concentration?

The formula of Triplet State Concentration is expressed as Concentration of Triplet State = (Triplet State Quantum Yield*Absorption Intensity)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation). Here is an example- 1.6E-7 = (40*250)/(45+64000+0.065).

How to calculate Triplet State Concentration?

With Triplet State Quantum Yield (φ_{_ISC}), Absorption Intensity (I_a), Phosphorescence Rate Constant (K_p), Rate Constant of Intersystem Crossing (K_ISC) & Rate Constant of Triplet Triplet Anhilation (K_TTA) we can find Triplet State Concentration using the formula - Concentration of Triplet State = (Triplet State Quantum Yield*Absorption Intensity)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation).

Can the Triplet State Concentration be negative?

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

Which unit is used to measure Triplet State Concentration?

Triplet State Concentration 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 Triplet State Concentration can be measured.

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