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Phosphorescence Quantum Yield Formula

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Quantum Yield of Phosphorescence 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 p = \frac{K rad}{K rad + K NR}

φ_p - Quantum Yield of Phosphorescence?K_rad - Rate of Radiative Reaction?K_NR - Rate Constant of Non Radiative Reaction?

Phosphorescence Quantum Yield Example

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

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

Here is how the Phosphorescence Quantum Yield equation looks like.

0.2222 = \frac{10}{10 + 35}

0.2222 = \frac{10rev/s}{10rev/s + 35rev/s}

0.2222 = \frac{10}{10 + 35}

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Phosphorescence Quantum Yield Solution

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

FIRST Step Consider the formula

φ p = \frac{K rad}{K rad + K NR}

Next Step Substitute values of Variables

∴

φ p = \frac{10rev/s}{10rev/s + 35rev/s}

Next Step Convert Units

∴

φ p = \frac{10Hz}{10Hz + 35Hz}

Next Step Prepare to Evaluate

∴

φ p = \frac{10}{10 + 35}

Next Step Evaluate

∴

φ p = 0.222222222222222

LAST Step Rounding Answer

∴

φ p = 0.2222

Phosphorescence Quantum Yield Formula Elements

Variables

Quantum Yield of Phosphorescence

Quantum Yield of Phosphorescence 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_p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Quantum Yield of Phosphorescence

Rate of Radiative Reaction

Rate of Radiative Reaction is the rate of light emission per unit carrier concentration, or radiative rate.

Symbol: K_rad

Measurement: FrequencyUnit: rev/s

Note: Value can be positive or negative.

Formulas to find Rate of Radiative Reaction

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 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 given Intersystem Quantum Yield

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

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?

Phosphorescence Quantum Yield evaluator uses Quantum Yield of Phosphorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate Constant of Non Radiative Reaction) to evaluate the Quantum Yield of Phosphorescence, The Phosphorescence Quantum Yield formula is defined as the measure of probability that a molecule will phosphoresce. Quantum Yield of Phosphorescence is denoted by φ_p symbol.

How to evaluate Phosphorescence Quantum Yield using this online evaluator? To use this online evaluator for Phosphorescence Quantum Yield, enter Rate of Radiative Reaction (K_rad) & Rate Constant of Non Radiative Reaction (K_NR) and hit the calculate button.

FAQs on Phosphorescence Quantum Yield

What is the formula to find Phosphorescence Quantum Yield?

The formula of Phosphorescence Quantum Yield is expressed as Quantum Yield of Phosphorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate Constant of Non Radiative Reaction). Here is an example- 0.222222 = 10/(10+35).

How to calculate Phosphorescence Quantum Yield?

With Rate of Radiative Reaction (K_rad) & Rate Constant of Non Radiative Reaction (K_NR) we can find Phosphorescence Quantum Yield using the formula - Quantum Yield of Phosphorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate Constant of Non Radiative Reaction).

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Phosphorescence Quantum Yield Formula

Phosphorescence Quantum Yield Example

Phosphorescence Quantum Yield Solution

Phosphorescence Quantum Yield Formula Elements

Other formulas in Emission Spectroscopy category

How to Evaluate Phosphorescence Quantum Yield?

FAQs on Phosphorescence Quantum Yield

Variable Name