Triplet State Concentration 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

✖Triplet State Quantum yield is the rate if triplet state intensity to absorption intensity.ⓘ Triplet State Quantum Yield [φ_{_ISC}]			+10% -10%
✖Absorption Intensity obtained by integrating the area under the absorption line—is proportional to the amount of the absorbing substance present.ⓘ Absorption Intensity [I_a]			+10% -10%
✖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%
✖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%

✖Concentration of Triplet State is the number of molecules present in triplet state.ⓘ Triplet State Concentration [[M_T]]

⎘ Copy

👎

Formula

✖

Triplet State Concentration

Formula

`("[M"_{"T"}"]") = ("φ"_{"_ISC"}*"I"_{"a"})/("K"_{"p"}+"K"_{"ISC"}+"K"_{"TTA"})`

Example

`"0.000156mol/L"=("40"*"250W/m²")/("45rev/s"+"64000rev/s"+"65L/(mol*s)")`

Calculator

LaTeX

Reset

👍

Download Physical Chemistry Formula PDF PDF Image

Triplet State Concentration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Concentration of Triplet State = (Triplet State Quantum Yield*Absorption Intensity)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation)
[M_T] = (φ_{_ISC}*I_a)/(K_p+K_ISC+K_TTA)
This formula uses 6 Variables

Variables Used

Concentration of Triplet State - (Measured in Mole per Cubic Meter) - Concentration of Triplet State is the number of molecules present in triplet state.
Triplet State Quantum Yield - Triplet State Quantum yield is the rate if triplet state intensity to absorption intensity.
Absorption Intensity - (Measured in Watt per Square Meter) - Absorption Intensity obtained by integrating the area under the absorption line—is proportional to the amount of the absorbing substance present.
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.
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

Triplet State Quantum Yield: 40 --> No Conversion Required
Absorption Intensity: 250 Watt per Square Meter --> 250 Watt per Square Meter No Conversion Required
Phosphorescence Rate Constant: 45 Revolution per Second --> 45 Hertz (Check conversion here)
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

[M_T] = (φ_{_ISC}*I_a)/(K_p+K_ISC+K_TTA) --> (40*250)/(45+64000+0.065)

Evaluating ... ...

[M_T] = 0.156140055443772

STEP 3: Convert Result to Output's Unit

0.156140055443772 Mole per Cubic Meter -->0.000156140055443772 Mole per Liter (Check conversion here)

FINAL ANSWER

0.000156140055443772 ≈ 0.000156 Mole per Liter <-- Concentration of Triplet State

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Physical Chemistry » Physical spectroscopy » Emission Spectroscopy » Triplet State Concentration

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

Triplet State Concentration Formula

What is triplet triplet annihilation ?

Triplet-triplet annihilation is an energy transfer mechanism between two molecules in their triplet state, and is related to the Dexter energy transfer mechanism. Triplet-triplet (TT) energy transfer requires two molecular fragments to exchange electrons that carry different spin and energy. In this paper, we analyze and report values of the electronic coupling strengths for TT energy transfer.

What is the Franck Condon factor?

According to the Franck–Condon principle, the intensity of a vibrational peak in an electronically allowed transition is proportional to the absolute square of the overlap integral of the vibrational wave functions of the initial and final states. This overlap integral is known as the Franck–Condon factor.

How to Calculate Triplet State Concentration?

Triplet State Concentration calculator uses Concentration of Triplet State = (Triplet State Quantum Yield*Absorption Intensity)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation) to calculate the Concentration of Triplet State, The Triplet State Concentration formula is defined as the number of molecules present in triplet state. Concentration of Triplet State is denoted by [M_T] symbol.

How to calculate Triplet State Concentration using this online calculator? To use this online calculator for Triplet State Concentration, enter Triplet State Quantum Yield (φ_{_ISC}), Absorption Intensity (I_a), Phosphorescence Rate Constant (K_p), Rate Constant of Intersystem Crossing (K_ISC) & Rate Constant of Triplet Triplet Anhilation (K_TTA) and hit the calculate button. Here is how the Triplet State Concentration calculation can be explained with given input values -> 1.6E-7 = (40*250)/(45+64000+0.065).

FAQ

What is Triplet State Concentration?

The Triplet State Concentration formula is defined as the number of molecules present in triplet state and is represented as [M_T] = (φ_{_ISC}*I_a)/(K_p+K_ISC+K_TTA) or Concentration of Triplet State = (Triplet State Quantum Yield*Absorption Intensity)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation). Triplet State Quantum yield is the rate if triplet state intensity to absorption intensity, Absorption Intensity obtained by integrating the area under the absorption line—is proportional to the amount of the absorbing substance present, Phosphorescence Rate Constant is defined as the rate at which phosphorescence occurs during emission from triplet to singlet state, 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 Triplet State Concentration?

The Triplet State Concentration formula is defined as the number of molecules present in triplet state is calculated using Concentration of Triplet State = (Triplet State Quantum Yield*Absorption Intensity)/(Phosphorescence Rate Constant+Rate Constant of Intersystem Crossing+Rate Constant of Triplet Triplet Anhilation). To calculate Triplet State Concentration, you need Triplet State Quantum Yield (φ_{_ISC}), Absorption Intensity (I_a), Phosphorescence Rate Constant (K_p), 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 Triplet State Quantum Yield, Absorption Intensity, Phosphorescence Rate Constant, 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