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Phosphorescence Quantum Yield given Intersystem Quantum Yield Formula

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Phosphorescence Quantum Yield given ISC is a measure of the efficiency of photon emission as defined by the ratio of the number of photons emitted to the number of photons absorbed. Check FAQs

φ ph_ISC = (\frac{K p}{I a}) \cdot ({(\frac{I a \cdot φ_ISC}{K TTA})}^{\frac{1}{2}})

φ_{ph_ISC} - Phosphorescence Quantum Yield given ISC?K_p - Phosphorescence Rate Constant?I_a - Absorption Intensity?φ_{_ISC} - Triplet State Quantum Yield?K_TTA - Rate Constant of Triplet Triplet Anhilation?

Phosphorescence Quantum Yield given Intersystem Quantum Yield Example

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Here is how the Phosphorescence Quantum Yield given Intersystem Quantum Yield equation looks like with Values.

Here is how the Phosphorescence Quantum Yield given Intersystem Quantum Yield equation looks like with Units.

Here is how the Phosphorescence Quantum Yield given Intersystem Quantum Yield equation looks like.

70.6018 = (\frac{45}{250}) \cdot ({(\frac{250 \cdot 40}{65})}^{\frac{1}{2}})

70.6018 = (\frac{45rev/s}{250W/m²}) \cdot ({(\frac{250W/m² \cdot 40}{65L/(mol*s)})}^{\frac{1}{2}})

70.6018 = (\frac{45}{250}) \cdot ({(\frac{250 \cdot 40}{65})}^{\frac{1}{2}})

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Phosphorescence Quantum Yield given Intersystem Quantum Yield Solution

Follow our step by step solution on how to calculate Phosphorescence Quantum Yield given Intersystem Quantum Yield?

FIRST Step Consider the formula

φ ph_ISC = (\frac{K p}{I a}) \cdot ({(\frac{I a \cdot φ_ISC}{K TTA})}^{\frac{1}{2}})

Next Step Substitute values of Variables

∴

φ ph_ISC = (\frac{45rev/s}{250W/m²}) \cdot ({(\frac{250W/m² \cdot 40}{65L/(mol*s)})}^{\frac{1}{2}})

Next Step Convert Units

∴

φ ph_ISC = (\frac{45Hz}{250W/m²}) \cdot ({(\frac{250W/m² \cdot 40}{0.065m³/(mol*s)})}^{\frac{1}{2}})

Next Step Prepare to Evaluate

∴

φ ph_ISC = (\frac{45}{250}) \cdot ({(\frac{250 \cdot 40}{0.065})}^{\frac{1}{2}})

Next Step Evaluate

∴

φ ph_ISC = 70.6018086497462

LAST Step Rounding Answer

∴

φ ph_ISC = 70.6018

Phosphorescence Quantum Yield given Intersystem Quantum Yield Formula Elements

Variables

Phosphorescence Quantum Yield given ISC

Phosphorescence Quantum Yield given ISC is a measure of the efficiency of photon emission as defined by the ratio of the number of photons emitted to the number of photons absorbed.

Symbol: φ_{ph_ISC}

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Phosphorescence Quantum Yield given ISC

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.

Formulas to find Phosphorescence Rate Constant

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.

Formulas to find Absorption Intensity

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.

Formulas to find Triplet State Quantum Yield

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.

Formulas to find Rate Constant of Triplet Triplet Anhilation

Other formulas in Emission Spectroscopy category

Go Fluorescence Quantum Yield

φ fl = \frac{K rad}{K rad + R IC + K ISC + K q}

Go Fluoroscence Quantum Yield given Phosphorescence Quantum Yield

φ FL = φ ph \cdot (\frac{K f \cdot [M S1]}{K p \cdot [M T]})

Go Phosphorescence Quantum Yield

φ p = \frac{K rad}{K rad + K NR}

Go Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant

φ ph-TTA = \frac{K p \cdot φ ISC}{K p + K ISC + K TTA}

How to Evaluate Phosphorescence Quantum Yield given Intersystem Quantum Yield?

Phosphorescence Quantum Yield given Intersystem Quantum Yield evaluator uses Phosphorescence Quantum Yield given ISC = (Phosphorescence Rate Constant/Absorption Intensity)*(((Absorption Intensity*Triplet State Quantum Yield)/Rate Constant of Triplet Triplet Anhilation)^(1/2)) to evaluate the Phosphorescence Quantum Yield given ISC, The Phosphorescence Quantum Yield given Intersystem Quantum Yield formula is defined is a measure of the efficiency of photon emission as defined by the ratio of the number of photons emitted to the number of photons absorbed. Phosphorescence Quantum Yield given ISC is denoted by φ_{ph_ISC} symbol.

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

FAQs on Phosphorescence Quantum Yield given Intersystem Quantum Yield

What is the formula to find Phosphorescence Quantum Yield given Intersystem Quantum Yield?

The formula of Phosphorescence Quantum Yield given Intersystem Quantum Yield is expressed as Phosphorescence Quantum Yield given ISC = (Phosphorescence Rate Constant/Absorption Intensity)*(((Absorption Intensity*Triplet State Quantum Yield)/Rate Constant of Triplet Triplet Anhilation)^(1/2)). Here is an example- 70.60181 = (45/250)*(((250*40)/0.065)^(1/2)).

How to calculate Phosphorescence Quantum Yield given Intersystem Quantum Yield?

With Phosphorescence Rate Constant (K_p), Absorption Intensity (I_a), Triplet State Quantum Yield (φ_{_ISC}) & Rate Constant of Triplet Triplet Anhilation (K_TTA) we can find Phosphorescence Quantum Yield given Intersystem Quantum Yield using the formula - Phosphorescence Quantum Yield given ISC = (Phosphorescence Rate Constant/Absorption Intensity)*(((Absorption Intensity*Triplet State Quantum Yield)/Rate Constant of Triplet Triplet Anhilation)^(1/2)).

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Phosphorescence Quantum Yield given Intersystem Quantum Yield Formula

Phosphorescence Quantum Yield given Intersystem Quantum Yield Example

Phosphorescence Quantum Yield given Intersystem Quantum Yield Solution

Phosphorescence Quantum Yield given Intersystem Quantum Yield Formula Elements

Other formulas in Emission Spectroscopy category

How to Evaluate Phosphorescence Quantum Yield given Intersystem Quantum Yield?

FAQs on Phosphorescence Quantum Yield given Intersystem Quantum Yield

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