Singlet State Concentration Calculator

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Physical spectroscopy

Gaseous state

Vapour Pressure

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Emission Spectroscopy

Absorption Spectroscopy

Raman spectroscopy

Rotational Spectroscopy

Vibrational Spectroscopy

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Fluoroscence and Phosphorescence

Quantum Yield and Singlet Llifetime

✖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%
✖Rate Constant of Fluoroscence is the rate at which spontaneous emission occurs.ⓘ Rate Constant of Fluoroscence [K_f]			+10% -10%
✖Rate Constant of Non Radiative Reaction is defined as the rate at which deactivation occurs in the form of heat energy.ⓘ Rate Constant of Non Radiative Reaction [K_NR]			+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 Internal Conversion is the rate of decay from excited singlet electronic state to triplet state.ⓘ Rate Constant of Internal Conversion [K_IC]			+10% -10%

✖Concentration of Singlet State is the number of molecules present in the singlet excited state.ⓘ Singlet State Concentration [[M_Ss1]]

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Formula

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Singlet State Concentration

Formula

`("[M"_{"Ss1"}"]") = "I"_{"a"}/("K"_{"f"}+"K"_{"NR"}+"K"_{"ISC"}+"K"_{"IC"})`

Example

`"3.9E^-6mol/L"="250W/m²"/("750rev/s"+"35rev/s"+"64000rev/s"+"45.5rev/s")`

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Singlet State Concentration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Concentration of Singlet State = Absorption Intensity/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction+Rate Constant of Intersystem Crossing+Rate Constant of Internal Conversion)
[M_Ss1] = I_a/(K_f+K_NR+K_ISC+K_IC)
This formula uses 6 Variables

Variables Used

Concentration of Singlet State - (Measured in Mole per Cubic Meter) - Concentration of Singlet State is the number of molecules present in the singlet excited state.
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.
Rate Constant of Fluoroscence - (Measured in Hertz) - Rate Constant of Fluoroscence is the rate at which spontaneous emission occurs.
Rate Constant of Non Radiative Reaction - (Measured in Hertz) - Rate Constant of Non Radiative Reaction is defined as the rate at which deactivation occurs in the form of heat energy.
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 Internal Conversion - (Measured in Hertz) - Rate Constant of Internal Conversion is the rate of decay from excited singlet electronic state to triplet state.

STEP 1: Convert Input(s) to Base Unit

Absorption Intensity: 250 Watt per Square Meter --> 250 Watt per Square Meter No Conversion Required
Rate Constant of Fluoroscence: 750 Revolution per Second --> 750 Hertz (Check conversion here)
Rate Constant of Non Radiative Reaction: 35 Revolution per Second --> 35 Hertz (Check conversion here)
Rate Constant of Intersystem Crossing: 64000 Revolution per Second --> 64000 Hertz (Check conversion here)
Rate Constant of Internal Conversion: 45.5 Revolution per Second --> 45.5 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

[M_Ss1] = I_a/(K_f+K_NR+K_ISC+K_IC) --> 250/(750+35+64000+45.5)

Evaluating ... ...

[M_Ss1] = 0.00385620965440649

STEP 3: Convert Result to Output's Unit

0.00385620965440649 Mole per Cubic Meter -->3.85620965440649E-06 Mole per Liter (Check conversion here)

FINAL ANSWER

3.85620965440649E-06 ≈ 3.9E-6 Mole per Liter <-- Concentration of Singlet State

(Calculation completed in 00.004 seconds)

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< 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

< 12 Fluoroscence and Phosphorescence Calculators

Intensity of Fluorescence given Degree of Exciplex Formation

Singlet State Concentration

Go Concentration of Singlet State = Absorption Intensity/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction+Rate Constant of Intersystem Crossing+Rate Constant of Internal Conversion)

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)))

Fluoroscence Intensity without Quenching

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

Fluoroscence Intensity

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

Quenching Concentration

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

Phosphorescence Rate Constant

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

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

ISC Rate Constant

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

Singlet Radiative Fluorescence Lifetime

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

Singlet State Concentration Formula

What is Absorbance ?

Absorbance is defined as "the logarithm of the ratio of incident to transmitted radiant power through a sample (excluding the effects on cell walls)". Alternatively, for samples which scatter light, absorbance may be defined as "the negative logarithm of one minus absorptance, as measured on a uniform sample".

What is Fluoroscence ?

Fluorescence is the emission of light by a substance that has absorbed light or other electromagnetic radiation. It is a form of luminescence. In most cases, the emitted light has a longer wavelength, and therefore a lower photon energy, than the absorbed radiation.

How to Calculate Singlet State Concentration?

Singlet State Concentration calculator uses Concentration of Singlet State = Absorption Intensity/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction+Rate Constant of Intersystem Crossing+Rate Constant of Internal Conversion) to calculate the Concentration of Singlet State, The Singlet State Concentration formula is defined as is the number of molecules present in the singlet excited state. The concentration of a substance is the quantity of solute present in a given quantity of solution. Concentrations are usually expressed in terms of molarity, defined as the number of moles of solute in 1 L of solution. Concentration of Singlet State is denoted by [M_Ss1] symbol.

How to calculate Singlet State Concentration using this online calculator? To use this online calculator for Singlet State Concentration, enter Absorption Intensity (I_a), Rate Constant of Fluoroscence (K_f), Rate Constant of Non Radiative Reaction (K_NR), Rate Constant of Intersystem Crossing (K_ISC) & Rate Constant of Internal Conversion (K_IC) and hit the calculate button. Here is how the Singlet State Concentration calculation can be explained with given input values -> 3.9E-9 = 250/(750+35+64000+45.5).

FAQ

What is Singlet State Concentration?

The Singlet State Concentration formula is defined as is the number of molecules present in the singlet excited state. The concentration of a substance is the quantity of solute present in a given quantity of solution. Concentrations are usually expressed in terms of molarity, defined as the number of moles of solute in 1 L of solution and is represented as [M_Ss1] = I_a/(K_f+K_NR+K_ISC+K_IC) or Concentration of Singlet State = Absorption Intensity/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction+Rate Constant of Intersystem Crossing+Rate Constant of Internal Conversion). Absorption Intensity obtained by integrating the area under the absorption line—is proportional to the amount of the absorbing substance present, Rate Constant of Fluoroscence is the rate at which spontaneous emission occurs, Rate Constant of Non Radiative Reaction is defined as the rate at which deactivation occurs in the form of heat energy, Rate Constant of Intersystem Crossing is the rate of decay from excited singlet electronic state to triplet state & Rate Constant of Internal Conversion is the rate of decay from excited singlet electronic state to triplet state.

How to calculate Singlet State Concentration?

The Singlet State Concentration formula is defined as is the number of molecules present in the singlet excited state. The concentration of a substance is the quantity of solute present in a given quantity of solution. Concentrations are usually expressed in terms of molarity, defined as the number of moles of solute in 1 L of solution is calculated using Concentration of Singlet State = Absorption Intensity/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction+Rate Constant of Intersystem Crossing+Rate Constant of Internal Conversion). To calculate Singlet State Concentration, you need Absorption Intensity (I_a), Rate Constant of Fluoroscence (K_f), Rate Constant of Non Radiative Reaction (K_NR), Rate Constant of Intersystem Crossing (K_ISC) & Rate Constant of Internal Conversion (K_IC). With our tool, you need to enter the respective value for Absorption Intensity, Rate Constant of Fluoroscence, Rate Constant of Non Radiative Reaction, Rate Constant of Intersystem Crossing & Rate Constant of Internal Conversion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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