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Singlet Life Time Formula

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Singlet Life time of a population is the time measured for the number of excited molecules to decay exponentially to N/e of the original population via the loss of energy through fluorescence . Check FAQs

ζ s = \frac{1}{K ISC + K rad + R IC + K q}

ζ_s - Singlet Life time?K_ISC - Rate Constant of Intersystem Crossing?K_rad - Rate of Radiative Reaction?R_IC - Rate of Internal Conversion?K_q - Quenching Constant?

Singlet Life Time Example

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Here is how the Singlet Life Time equation looks like with Values.

Here is how the Singlet Life Time equation looks like with Units.

Here is how the Singlet Life Time equation looks like.

1.6E-5 = \frac{1}{64000 + 10 + 25 + 6}

1.6E-5s = \frac{1}{64000rev/s + 10rev/s + 25rev/s + 6rev/s}

1.6E-5 = \frac{1}{64000 + 10 + 25 + 6}

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Singlet Life Time Solution

Follow our step by step solution on how to calculate Singlet Life Time?

FIRST Step Consider the formula

ζ s = \frac{1}{K ISC + K rad + R IC + K q}

Next Step Substitute values of Variables

∴

ζ s = \frac{1}{64000rev/s + 10rev/s + 25rev/s + 6rev/s}

Next Step Convert Units

∴

ζ s = \frac{1}{64000Hz + 10Hz + 25Hz + 6Hz}

Next Step Prepare to Evaluate

∴

ζ s = \frac{1}{64000 + 10 + 25 + 6}

Next Step Evaluate

∴

ζ s = 1.56149966427757E-05s

LAST Step Rounding Answer

∴

ζ s = 1.6E-5s

Singlet Life Time Formula Elements

Variables

Singlet Life time

Singlet Life time of a population is the time measured for the number of excited molecules to decay exponentially to N/e of the original population via the loss of energy through fluorescence .

Symbol: ζ_s

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Singlet Life time

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

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

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 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 Intersystem Quantum Yield

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

How to Evaluate Singlet Life Time?

Singlet Life Time evaluator uses Singlet Life time = 1/(Rate Constant of Intersystem Crossing+Rate of Radiative Reaction+Rate of Internal Conversion+Quenching Constant) to evaluate the Singlet Life time, Singlet Life Time or commonly decay time is the time a fluorophore remains in its excited state after excitation and can vary from a few nanoseconds to subpicosecond. Singlet Life time is denoted by ζ_s symbol.

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

FAQs on Singlet Life Time

What is the formula to find Singlet Life Time?

The formula of Singlet Life Time is expressed as Singlet Life time = 1/(Rate Constant of Intersystem Crossing+Rate of Radiative Reaction+Rate of Internal Conversion+Quenching Constant). Here is an example- 1.6E-5 = 1/(64000+10+25+6).

How to calculate Singlet Life Time?

With Rate Constant of Intersystem Crossing (K_ISC), Rate of Radiative Reaction (K_rad), Rate of Internal Conversion (R_IC) & Quenching Constant (K_q) we can find Singlet Life Time using the formula - Singlet Life time = 1/(Rate Constant of Intersystem Crossing+Rate of Radiative Reaction+Rate of Internal Conversion+Quenching Constant).

Can the Singlet Life Time be negative?

Yes, the Singlet Life Time, measured in Time can be negative.

Which unit is used to measure Singlet Life Time?

Singlet Life Time is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Singlet Life Time can be measured.

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Singlet Life Time Formula

Singlet Life Time Example

Singlet Life Time Solution

Singlet Life Time Formula Elements

Other formulas in Emission Spectroscopy category

How to Evaluate Singlet Life Time?

FAQs on Singlet Life Time

Variable Name