Singlet State Concentration Calculator

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✖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%

✖Singlet State Concentration is the number of molecules present in the singlet excited state.ⓘ Singlet State Concentration [[M_S1]]

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Formula

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Singlet State Concentration

Formula

`("[M"_{"S1"}"]") = "I"_{"a"}/("K"_{"f"}+"K"_{"NR"}+"K"_{"ISC"}+"K"_{"IC"})`

Example

`"0.001852mol/L"="250W/m²"/("25r/s"+"35r/s"+"30r/s"+"45r/s")`

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Singlet State Concentration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Singlet State Concentration = Absorption Intensity/(Rate Constant of Fluoroscence+Rate Constant of Non Radiative Reaction+Rate Constant of Intersystem Crossing+Rate Constant of Internal Conversion)
[M_S1] = I_a/(K_f+K_NR+K_ISC+K_IC)
This formula uses 6 Variables

Variables Used

Singlet State Concentration - (Measured in Mole per Cubic Meter) - Singlet State Concentration 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: 25 Revolution per Second --> 25 Hertz (Check conversion here)
Rate Constant of Non Radiative Reaction: 35 Revolution per Second --> 35 Hertz (Check conversion here)
Rate Constant of Intersystem Crossing: 30 Revolution per Second --> 30 Hertz (Check conversion here)
Rate Constant of Internal Conversion: 45 Revolution per Second --> 45 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

[M_S1] = I_a/(K_f+K_NR+K_ISC+K_IC) --> 250/(25+35+30+45)

Evaluating ... ...

[M_S1] = 1.85185185185185

STEP 3: Convert Result to Output's Unit

1.85185185185185 Mole per Cubic Meter -->0.00185185185185185 Mole per Liter (Check conversion here)

FINAL ANSWER

0.00185185185185185 Mole per Liter <-- Singlet State Concentration

(Calculation completed in 00.000 seconds)

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< 24 Physical spectroscopy Calculators

Singlet State Concentration

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

Phosphorescence Quantum Yield given Intersystem Quantum Yield

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

Fluorescence Quantum Yield

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

Fluorosence Intensity at Low Concentration of Solute

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

Quantum Yield of Fluorescence

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

Fluoroscence Intensity without Quenching

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

Intensity Ratio

Go Intensity Ratio = 1+(Quencher Concentration*(Quenching Constant/(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)

Final Intensity using Stern Volmer Equation

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

Phosphorescence Quantum Yield

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

Rate of Deactivation

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

Triplet State Quantum yield

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

Collisional Energy Transfer

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

ISC Rate Constant

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

Rate of ISC

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

Phosphorescence Rate Constant

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

Rate of Phosphorescence

Go Rate of Phosphorescence = 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)

Difference in Acidity between Ground and Excited State

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

Singlet Radiative Fluorescence Lifetime

Go Singlet Life time = 1/Rate Constant of Fluoroscence

Singlet Radiative Phosphorescence Lifetime

Go Singlet Life time = 1/Rate of Phosphorescence

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 Singlet State Concentration = 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 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. Singlet State Concentration is denoted by [M_S1] 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 -> 0.001852 = 250/(25+35+30+45).

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_S1] = I_a/(K_f+K_NR+K_ISC+K_IC) or Singlet State Concentration = 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 Singlet State Concentration = 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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