Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant Calculator

⤿

Physical spectroscopy

Gaseous state

Vapour Pressure

⤿

Emission Spectroscopy

Absorption Spectroscopy

Raman spectroscopy

Rotational Spectroscopy

Vibrational Spectroscopy

⤿

Fluoroscence and Phosphorescence

Quantum Yield and Singlet Llifetime

✖Phosphorescence Rate Constant is defined as the rate at which phosphorescence occurs during emission from triplet to singlet state.ⓘ Phosphorescence Rate Constant [K_p]			+10% -10%
✖ISC Quantum Yield is the ratio of the number of photons emitted to the number of photons absorbed. Notably, quantum yield is independent of instrument.ⓘ ISC Quantum Yield [φ_ISC]			+10% -10%
✖Rate Constant of Intersystem Crossing is the rate of decay from excited singlet electronic state to triplet state.ⓘ Rate Constant of Intersystem Crossing [K_ISC]			+10% -10%
✖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.ⓘ Rate Constant of Triplet Triplet Anhilation [K_TTA]			+10% -10%

✖Phosphosecence Quantum Yield given TTA Constant 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 Triplet Triplet Annhilation Constant [φ_ph-TTA]

⎘ Copy

👎

Formula

✖

Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant

Formula

`"φ"_{"ph-TTA"} = ("K"_{"p"}*"φ"_{"ISC"})/("K"_{"p"}+"K"_{"ISC"}+"K"_{"TTA"})`

Example

`"0.010539"=("45rev/s"*"15")/("45rev/s"+"64000rev/s"+"65L/(mol*s)")`

Calculator

LaTeX

Reset

👍

Download Physical Chemistry Formula PDF PDF Image

Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phosphosecence Quantum Yield given TTA Constant = (Phosphorescence Rate Constant*ISC Quantum Yield)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation)
φ_ph-TTA = (K_p*φ_ISC)/(K_p+K_ISC+K_TTA)
This formula uses 5 Variables

Variables Used

Phosphosecence Quantum Yield given TTA Constant - Phosphosecence Quantum Yield given TTA Constant 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 Rate Constant - (Measured in Hertz) - Phosphorescence Rate Constant is defined as the rate at which phosphorescence occurs during emission from triplet to singlet state.
ISC Quantum Yield - ISC Quantum Yield is the ratio of the number of photons emitted to the number of photons absorbed. Notably, quantum yield is independent of instrument.
Rate Constant of Intersystem Crossing - (Measured in Hertz) - Rate Constant of Intersystem Crossing is the rate of decay from excited singlet electronic state to triplet state.
Rate Constant of Triplet Triplet Anhilation - (Measured in Cubic Meter per Mole Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Phosphorescence Rate Constant: 45 Revolution per Second --> 45 Hertz (Check conversion here)
ISC Quantum Yield: 15 --> No Conversion Required
Rate Constant of Intersystem Crossing: 64000 Revolution per Second --> 64000 Hertz (Check conversion here)
Rate Constant of Triplet Triplet Anhilation: 65 Liter per Mole Second --> 0.065 Cubic Meter per Mole Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ_ph-TTA = (K_p*φ_ISC)/(K_p+K_ISC+K_TTA) --> (45*15)/(45+64000+0.065)

Evaluating ... ...

φ_ph-TTA = 0.0105394537424546

STEP 3: Convert Result to Output's Unit

0.0105394537424546 --> No Conversion Required

FINAL ANSWER

0.0105394537424546 ≈ 0.010539 <-- Phosphosecence Quantum Yield given TTA Constant

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Physical Chemistry » Physical spectroscopy » Emission Spectroscopy » Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant

Credits

Created by Torsha_Paul

University of Calcutta (CU), Kolkata

Torsha_Paul has created this Calculator and 200+ more calculators!

Verified by Prerana Bakli

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

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< 25 Emission Spectroscopy Calculators

Intensity of Fluorescence given Degree of Exciplex Formation

Go Fluorosence Intensity given Degree of Exciplex = Rate Constant of Fluoroscence*Equilibrium Constant for Coordinate Complexes*(1-Degree of Exciplex Formation)/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction)

Degree of Exciplex Formation

Go Degree of Exciplex Formation = (Equilibrium Constant for Coordinate Complexes*Quencher Concentration given Degree of Exciplex)/(1+(Equilibrium Constant for Coordinate Complexes*Quencher Concentration given Degree of Exciplex))

Fluoroscence Quantum Yield given Phosphorescence Quantum Yield

Go Fluorosecence Quantum Yield given Ph = Phosphosecence Quantum Yield*((Rate Constant of Fluoroscence*Singlet State Concentration)/(Phosphorescence Rate Constant*Concentration of Triplet State))

Fluorosence Intensity at Low Concentration of Solute

Go Fluorosence Intensity at Low Concentration = Fluorosecence Quantum Yield*Initial Intensity*2.303*Spectroscopical Molar Extinction Coefficient*Concentration at Time t*Length

Fluorescence Quantum Yield

Go Quantum Yield of Fluorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate of Internal Conversion+Rate Constant of Intersystem Crossing+Quenching Constant)

Initial Intensity given Degree of Exciplex Formation

Go Initial Intensity given Degree of Exciplex = Rate Constant of Fluoroscence*Equilibrium Constant for Coordinate Complexes/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction)

Intensity Ratio

Go Intensity Ratio = 1+(Quencher Concentration given Degree of Exciplex*(Quenching Constant/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction)))

Quantum Yield of Fluorescence

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

Singlet Life Time of Radiative Process

Go Singlet Life time of Radiative Process = ((Initial Intensity/Fluorosence Intensity)-1)/(Quenching Constant*Quencher Concentration given Degree of Exciplex)

Fluoroscence Intensity without Quenching

Go Intensity Without Quenching = (Rate Constant of Fluoroscence*Absorption Intensity)/(Rate Constant of Non Radiative Reaction+Rate Constant of Fluoroscence)

Final Intensity using Stern Volmer Equation

Go Final Intensity = Initial Intensity/(1+(Singlet Life time given Degree of Exciplex*Quenching Constant*Quencher Concentration given Degree of Exciplex))

Fluoroscence Intensity

Go Fluorosence Intensity = (Rate Constant of Fluoroscence*Absorption Intensity)/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction)

Singlet Life Time

Go Singlet Life time = 1/(Rate Constant of Intersystem Crossing+Rate of Radiative Reaction+Rate of Internal Conversion+Quenching Constant)

Collisional Energy Transfer

Go Rate of Collisional Energy Transfer = Quenching Constant*Quencher Concentration given Degree of Exciplex*Singlet State Concentration

Rate of Deactivation

Go Rate of Deactivation = (Rate Constant of Non Radiative Reaction+Rate Constant of Fluoroscence)*Singlet State Concentration

Quenching Concentration given Degree of Exciplex Formation

Go Quencher Concentration given Degree of Exciplex = ((1/(1-Degree of Exciplex Formation))-1)*(1/Equilibrium Constant for Coordinate Complexes)

Quenching Concentration

Go Quencher Concentration = ((Initial Intensity/Fluorosence Intensity)-1)/Stern Volmner Constant

Singlet Life given Degree of Exciplex Formation

Go Singlet Life time given Degree of Exciplex = 1/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction)

Rate of Phosphorescence

Go Phosphorescence Rate = Phosphorescence Rate Constant*Concentration of Triplet State

Fluorescence Rate Constant

Go Rate Constant of Fluoroscence = Rate of Fluoroscence/Singlet State Concentration

Rate of Activation

Go Rate of Activation = Equilibrium Constant*(1-Degree of Dissociation of Emission)

ISC Rate Constant

Go Rate Constant of ISC = Rate of Intersystem Crossing*Singlet State Concentration

Difference in Acidity between Ground and Excited State

Go Difference in pka = pKa of Excited State-pKa of Ground State

Equilibrium Constant for Exciplex Formation

Go Equilibrium Constant for Coordinate Complexes = 1/(1-Degree of Exciplex Formation)-1

Singlet Radiative Phosphorescence Lifetime

Go Singlet Radiative Phosphorescence Lifetime = 1/Rate of Phosphorescence

< 13 Quantum Yield and Singlet Llifetime Calculators

Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant

Go Phosphosecence Quantum Yield given TTA Constant = (Phosphorescence Rate Constant*ISC Quantum Yield)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation)

Phosphorescence Quantum Yield given Intersystem Quantum Yield

Go Phosphorescence Quantum Yield given ISC = (Phosphorescence Rate Constant/Absorption Intensity)*(((Absorption Intensity*Triplet State Quantum Yield)/Rate Constant of Triplet Triplet Anhilation)^(1/2))

Phosphorescence Quantum Yield given Fluoroscence Quantum Yield

Go Phosphorescence Quantum Yield given φf = Fluorosecence Quantum Yield*((Phosphorescence Rate Constant*Concentration of Triplet State)/(Rate Constant of Fluoroscence*Singlet State Concentration))

Fluoroscence Quantum Yield given Phosphorescence Quantum Yield

Go Fluorosecence Quantum Yield given Ph = Phosphosecence Quantum Yield*((Rate Constant of Fluoroscence*Singlet State Concentration)/(Phosphorescence Rate Constant*Concentration of Triplet State))

Fluorescence Quantum Yield

Go Quantum Yield of Fluorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate of Internal Conversion+Rate Constant of Intersystem Crossing+Quenching Constant)

Quantum Yield of Fluorescence

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

Singlet Life Time of Radiative Process

Go Singlet Life time of Radiative Process = ((Initial Intensity/Fluorosence Intensity)-1)/(Quenching Constant*Quencher Concentration given Degree of Exciplex)

Singlet Life Time

Go Singlet Life time = 1/(Rate Constant of Intersystem Crossing+Rate of Radiative Reaction+Rate of Internal Conversion+Quenching Constant)

Phosphorescence Quantum Yield

Go Quantum Yield of Phosphorescence = Rate of Radiative Reaction/(Rate of Radiative Reaction+Rate Constant of Non Radiative Reaction)

Triplet State Quantum yield

Go Quantum Yield of Triplet State = (Rate Constant of Intersystem Crossing*Singlet State Concentration)/Absorption Intensity

Singlet Life given Degree of Exciplex Formation

Go Singlet Life time given Degree of Exciplex = 1/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction)

Singlet Radiative Fluorescence Lifetime

Go Singlet Radiative Fluorescence Lifetime = 1/Rate Constant of Fluoroscence

Singlet Radiative Phosphorescence Lifetime

Go Singlet Radiative Phosphorescence Lifetime = 1/Rate of Phosphorescence

Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant Formula

What is Quantum Yield ?

Quantum yield (Φ) is defined as the ratio of the number of photons emitted to the number of photons absorbed. Notably, quantum yield is independent of instrument settings and describes how efficiently a fluorophore converts the excitation light into fluorescence.

What is the difference between internal conversion and intersystem crossing?

Internal conversions are nonadiabatic processes driven by the kinetic coupling between electronic states, whereas intersystem crossings are mediated by the spin–orbit coupling. The key difference between vibrational relaxation and internal conversion is that vibrational relaxation is the relaxation of an electron that occurs in an electronic state and moves from a high to low vibrational energy level, whereas internal conversion is the movement or relaxation of an electron from a higher to lower electronic state via emission of heat.

How to Calculate Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant?

Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant calculator uses Phosphosecence Quantum Yield given TTA Constant = (Phosphorescence Rate Constant*ISC Quantum Yield)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation) to calculate the Phosphosecence Quantum Yield given TTA Constant, The Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant formula is defined as is the ratio of the number of photons emitted to the number of photons absorbed. Notably, quantum yield is independent of instrument. Phosphosecence Quantum Yield given TTA Constant is denoted by φ_ph-TTA symbol.

How to calculate Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant using this online calculator? To use this online calculator for Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant, enter Phosphorescence Rate Constant (K_p), ISC Quantum Yield (φ_ISC), Rate Constant of Intersystem Crossing (K_ISC) & Rate Constant of Triplet Triplet Anhilation (K_TTA) and hit the calculate button. Here is how the Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant calculation can be explained with given input values -> 0.010539 = (45*15)/(45+64000+0.065).

FAQ

What is Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant?

The Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant formula is defined as is the ratio of the number of photons emitted to the number of photons absorbed. Notably, quantum yield is independent of instrument and is represented as φ_ph-TTA = (K_p*φ_ISC)/(K_p+K_ISC+K_TTA) or Phosphosecence Quantum Yield given TTA Constant = (Phosphorescence Rate Constant*ISC Quantum Yield)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation). Phosphorescence Rate Constant is defined as the rate at which phosphorescence occurs during emission from triplet to singlet state, ISC Quantum Yield is the ratio of the number of photons emitted to the number of photons absorbed. Notably, quantum yield is independent of instrument, Rate Constant of Intersystem Crossing is the rate of decay from excited singlet electronic state to triplet state & 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.

How to calculate Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant?

The Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant formula is defined as is the ratio of the number of photons emitted to the number of photons absorbed. Notably, quantum yield is independent of instrument is calculated using Phosphosecence Quantum Yield given TTA Constant = (Phosphorescence Rate Constant*ISC Quantum Yield)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation). To calculate Phosphorescence Quantum Yield given Triplet Triplet Annhilation Constant, you need Phosphorescence Rate Constant (K_p), ISC Quantum Yield (φ_ISC), Rate Constant of Intersystem Crossing (K_ISC) & Rate Constant of Triplet Triplet Anhilation (K_TTA). With our tool, you need to enter the respective value for Phosphorescence Rate Constant, ISC Quantum Yield, Rate Constant of Intersystem Crossing & Rate Constant of Triplet Triplet Anhilation and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search