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Fluorescence Quantum Yield Formula

GoQuantum Yield of Fluorescence Formula

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Quantum Yield of Fluorescence 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 fl = \frac{K rad}{K rad + R IC + K ISC + K q}

φ_fl - Quantum Yield of Fluorescence?K_rad - Rate of Radiative Reaction?R_IC - Rate of Internal Conversion?K_ISC - Rate Constant of Intersystem Crossing?K_q - Quenching Constant?

Fluorescence Quantum Yield Example

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

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

Here is how the Fluorescence Quantum Yield equation looks like.

0.0002 = \frac{10}{10 + 25 + 64000 + 6}

0.0002 = \frac{10rev/s}{10rev/s + 25rev/s + 64000rev/s + 6rev/s}

0.0002 = \frac{10}{10 + 25 + 64000 + 6}

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Fluorescence Quantum Yield Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

φ fl = \frac{10rev/s}{10rev/s + 25rev/s + 64000rev/s + 6rev/s}

Next Step Convert Units

∴

φ fl = \frac{10Hz}{10Hz + 25Hz + 64000Hz + 6Hz}

Next Step Prepare to Evaluate

∴

φ fl = \frac{10}{10 + 25 + 64000 + 6}

Next Step Evaluate

∴

φ fl = 0.000156149966427757

LAST Step Rounding Answer

∴

φ fl = 0.0002

Fluorescence Quantum Yield Formula Elements

Variables

Quantum Yield of Fluorescence

Quantum Yield of Fluorescence 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_fl

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Quantum Yield of Fluorescence

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 of Internal Conversion

Rate of Internal Conversionis the difference between the total and the radiative one.

Symbol: R_IC

Measurement: FrequencyUnit: rev/s

Note: Value can be positive or negative.

Formulas to find Rate of Internal Conversion

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.

Formulas to find Rate Constant of Intersystem Crossing

Quenching Constant

Quenching Constant is the measure of quenching which decreases fluoroscene intensity.

Symbol: K_q

Measurement: FrequencyUnit: rev/s

Note: Value can be positive or negative.

Formulas to find Quenching Constant

Other Formulas to find Quantum Yield of Fluorescence

Go Quantum Yield of Fluorescence

φ fl = \frac{K f}{K f + R IC + K ISC}

Other formulas in Emission Spectroscopy category

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 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 Fluorescence Quantum Yield?

Fluorescence Quantum Yield evaluator uses Quantum Yield of Fluorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate of Internal Conversion+Rate Constant of Intersystem Crossing+Quenching Constant) to evaluate the Quantum Yield of Fluorescence, The Fluorescence Quantum Yield formula is defined as the ratio of photons absorbed to photons emitted through fluorescence. Quantum Yield of Fluorescence is denoted by φ_fl symbol.

How to evaluate Fluorescence Quantum Yield using this online evaluator? To use this online evaluator for Fluorescence Quantum Yield, enter Rate of Radiative Reaction (K_rad), Rate of Internal Conversion (R_IC), Rate Constant of Intersystem Crossing (K_ISC) & Quenching Constant (K_q) and hit the calculate button.

FAQs on Fluorescence Quantum Yield

What is the formula to find Fluorescence Quantum Yield?

The formula of Fluorescence Quantum Yield is expressed as Quantum Yield of Fluorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate of Internal Conversion+Rate Constant of Intersystem Crossing+Quenching Constant). Here is an example- 0.000156 = 10/(10+25+64000+6).

How to calculate Fluorescence Quantum Yield?

With Rate of Radiative Reaction (K_rad), Rate of Internal Conversion (R_IC), Rate Constant of Intersystem Crossing (K_ISC) & Quenching Constant (K_q) we can find Fluorescence Quantum Yield using the formula - Quantum Yield of Fluorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate of Internal Conversion+Rate Constant of Intersystem Crossing+Quenching Constant).

What are the other ways to Calculate Quantum Yield of Fluorescence?

Here are the different ways to Calculate Quantum Yield of Fluorescence-

Quantum Yield of Fluorescence=Rate Constant of Fluoroscence/(Rate Constant of Fluoroscence+Rate of Internal Conversion+Rate Constant of Intersystem Crossing)

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: Unit

Fluorescence Quantum Yield Formula

​GoQuantum Yield of Fluorescence Formula

Fluorescence Quantum Yield Example

Fluorescence Quantum Yield Solution

Fluorescence Quantum Yield Formula Elements

Other Formulas to find Quantum Yield of Fluorescence

Other formulas in Emission Spectroscopy category

How to Evaluate Fluorescence Quantum Yield?

FAQs on Fluorescence Quantum Yield

Variable Name

GoQuantum Yield of Fluorescence Formula