Observed Lifetime Given Quenching Time Calculator

✖Self Quenching Time refers to time for any process which decreases the fluorescent intensity of a given substance on its own.ⓘ Self Quenching Time [τ_s]			+10% -10%
✖Quenching Time is the quenching time due to collisions with the gas.ⓘ Quenching Time [τ_q]			+10% -10%
✖Radiative Lifetime is the time for radiations in the absence of collisions.ⓘ Radiative Lifetime [τ₀]			+10% -10%

✖Observed Lifetime is the total lifetime for collision-induced predissociation and quenching rates for iodine via two-body collision kinetics.ⓘ Observed Lifetime Given Quenching Time [τ_obs]

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Observed Lifetime Given Quenching Time

Formula

`"τ"_{"obs"} = (("τ"_{"s"}*"τ"_{"q"})+("τ"_{"0"}*"τ"_{"q"})+("τ"_{"s"}*"τ"_{"0"}))/("τ"_{"0"}*"τ"_{"s"}*"τ"_{"q"})`

Example

`"0.541667fs"=(("6fs"*"8fs")+("4fs"*"8fs")+("6fs"*"4fs"))/("4fs"*"6fs"*"8fs")`

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Observed Lifetime Given Quenching Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Observed Lifetime = ((Self Quenching Time*Quenching Time)+(Radiative Lifetime*Quenching Time)+(Self Quenching Time*Radiative Lifetime))/(Radiative Lifetime*Self Quenching Time*Quenching Time)
τ_obs = ((τ_s*τ_q)+(τ₀*τ_q)+(τ_s*τ₀))/(τ₀*τ_s*τ_q)
This formula uses 4 Variables

Variables Used

Observed Lifetime - (Measured in Femtosecond) - Observed Lifetime is the total lifetime for collision-induced predissociation and quenching rates for iodine via two-body collision kinetics.
Self Quenching Time - (Measured in Femtosecond) - Self Quenching Time refers to time for any process which decreases the fluorescent intensity of a given substance on its own.
Quenching Time - (Measured in Femtosecond) - Quenching Time is the quenching time due to collisions with the gas.
Radiative Lifetime - (Measured in Femtosecond) - Radiative Lifetime is the time for radiations in the absence of collisions.

STEP 1: Convert Input(s) to Base Unit

Self Quenching Time: 6 Femtosecond --> 6 Femtosecond No Conversion Required
Quenching Time: 8 Femtosecond --> 8 Femtosecond No Conversion Required
Radiative Lifetime: 4 Femtosecond --> 4 Femtosecond No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_obs = ((τ_s*τ_q)+(τ₀*τ_q)+(τ_s*τ₀))/(τ₀*τ_s*τ_q) --> ((6*8)+(4*8)+(6*4))/(4*6*8)

Evaluating ... ...

τ_obs = 0.541666666666667

STEP 3: Convert Result to Output's Unit

5.41666666666667E-16 Second -->0.541666666666667 Femtosecond (Check conversion here)

FINAL ANSWER

0.541666666666667 ≈ 0.541667 Femtosecond <-- Observed Lifetime

(Calculation completed in 00.004 seconds)

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Created by Sangita Kalita

National Institute of Technology, Manipur (NIT Manipur), Imphal, Manipur

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< 20 Femtochemistry Calculators

Observed Lifetime Given Quenching Time

Go Observed Lifetime = ((Self Quenching Time*Quenching Time)+(Radiative Lifetime*Quenching Time)+(Self Quenching Time*Radiative Lifetime))/(Radiative Lifetime*Self Quenching Time*Quenching Time)

Observed Lifetime Given Reduced Mass

Go Observed Lifetime = sqrt((Reduced Mass of Fragments*[BoltZ]*Temperature for Quenching)/(8*pi))/(Pressure for Quenching*Cross Section Area for Quenching)

Field Strength for Barrier Suppression Ionization

Go Field Strength for Barrier Suppression Ionization = (([Permitivity-vacuum]^2)*([hP]^2)*(Ionization Potential Barrier Suppression^2))/(([Charge-e]^3)*[Mass-e]*[Bohr-r]*Final Charge)

Spectral Chirp

Go Spectral Chirp = (4*Temporal Chirp*(Pulse Duration^4))/((16*(ln(2)^2))+((Temporal Chirp^2)*(Pulse Duration^4)))

Mean Free Tunneling Time for Electron

Go Mean Free Tunneling Time = (sqrt(Ionization Potential Barrier Suppression/(2*[Mass-e])))/Field Strength for Barrier Suppression Ionization

Velocity for Delayed Coherence in Photodissociation

Go Velocity for Delayed Coherence = sqrt((2*(Binding Potential-Potential Energy of Repulsing Term))/Reduced Mass for Delayed Coherence)

Potential for Exponential Repulsion

Go Potential For Exponential Repulsion = Energy FTS*(sech((Speed FTS*Time FTS)/(2*Length Scale FTS)))^2

Bond Breakage Time

Go Bond Breakage Time = (Length Scale FTS/Speed FTS)*ln((4*Energy FTS)/Bond Breakage Time Pulse Width)

Analysis of Anisotropy

Go Analysis of Anisotropy = ((cos(Angle Between Transition Dipole Moments)^2)+3)/(10*cos(Angle Between Transition Dipole Moments))

Anisotropy Decay Behavior

Go Anisotropy Decay = (Parallel Transient-Perpendicular Transient)/(Parallel Transient+(2*Perpendicular Transient))

Relationship between Pulse Intensity and Electric Field Strength

Go Electric Field Strength for Ultrafast Radiation = sqrt((2*Intensity of Laser)/([Permitivity-vacuum]*[c]))

Gaussian-Like Pulse

Go Gaussian Like Pulse = sin((pi*Time FTS)/(2*Half Width of Pulse))^2

Mean Electron Velocity

Go Mean Electron Velocity = sqrt((2*Ionization Potential Barrier Suppression)/[Mass-e])

Pump Pulse Difference

Go Pump Pulse Difference = (3*(pi^2)*Dipole Dipole Interaction for Exciton)/((Exciton Delocalization Length+1)^2)

Classical Analysis of Fluorescence Anisotropy

Go Classical Analysis of Fluorescence Anisotropy = (3*(cos(Angle Between Transition Dipole Moments)^2)-1)/5

Transit Time from Center of Sphere

Go Transit Time = (Radius of Sphere for Transit^2)/((pi^2)*Diffusion Coefficient for Transit)

Carrier Wavelength

Go Carrier Wavelength = (2*pi*[c])/Carrier Light Frequency

Recoil Energy for Bond Breaking

Go Energy FTS = (1/2)*Reduced Mass of Fragments*(Speed FTS^2)

Frequency Modulation

Go Frequency Modulation = (1/2)*Temporal Chirp*(Time FTS^2)

Mean Free Tunneling Time Given Velocity

Go Mean Free Tunneling Time = 1/Mean Electron Velocity

Observed Lifetime Given Quenching Time Formula

What is femtochemistry?

Femtochemistry is the area of physical chemistry that studies chemical reactions on extremely short timescales (approximately 10 seconds or one femtosecond, hence the name) in order to study the very act of atoms within molecules (reactants) rearranging themselves to form new molecules (products).

How to Calculate Observed Lifetime Given Quenching Time?

Observed Lifetime Given Quenching Time calculator uses Observed Lifetime = ((Self Quenching Time*Quenching Time)+(Radiative Lifetime*Quenching Time)+(Self Quenching Time*Radiative Lifetime))/(Radiative Lifetime*Self Quenching Time*Quenching Time) to calculate the Observed Lifetime, The Observed Lifetime Given Quenching Time formula is defined as average time taken for a molecule after absorption to return to its ground state. It is measured with the help of quenching time. Observed Lifetime is denoted by τ_obs symbol.

How to calculate Observed Lifetime Given Quenching Time using this online calculator? To use this online calculator for Observed Lifetime Given Quenching Time, enter Self Quenching Time (τ_s), Quenching Time (τ_q) & Radiative Lifetime (τ₀) and hit the calculate button. Here is how the Observed Lifetime Given Quenching Time calculation can be explained with given input values -> 5.4E+14 = ((6E-15*8E-15)+(4E-15*8E-15)+(6E-15*4E-15))/(4E-15*6E-15*8E-15).

FAQ

What is Observed Lifetime Given Quenching Time?

The Observed Lifetime Given Quenching Time formula is defined as average time taken for a molecule after absorption to return to its ground state. It is measured with the help of quenching time and is represented as τ_obs = ((τ_s*τ_q)+(τ₀*τ_q)+(τ_s*τ₀))/(τ₀*τ_s*τ_q) or Observed Lifetime = ((Self Quenching Time*Quenching Time)+(Radiative Lifetime*Quenching Time)+(Self Quenching Time*Radiative Lifetime))/(Radiative Lifetime*Self Quenching Time*Quenching Time). Self Quenching Time refers to time for any process which decreases the fluorescent intensity of a given substance on its own, Quenching Time is the quenching time due to collisions with the gas & Radiative Lifetime is the time for radiations in the absence of collisions.

How to calculate Observed Lifetime Given Quenching Time?

The Observed Lifetime Given Quenching Time formula is defined as average time taken for a molecule after absorption to return to its ground state. It is measured with the help of quenching time is calculated using Observed Lifetime = ((Self Quenching Time*Quenching Time)+(Radiative Lifetime*Quenching Time)+(Self Quenching Time*Radiative Lifetime))/(Radiative Lifetime*Self Quenching Time*Quenching Time). To calculate Observed Lifetime Given Quenching Time, you need Self Quenching Time (τ_s), Quenching Time (τ_q) & Radiative Lifetime (τ₀). With our tool, you need to enter the respective value for Self Quenching Time, Quenching Time & Radiative Lifetime and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Observed Lifetime?

In this formula, Observed Lifetime uses Self Quenching Time, Quenching Time & Radiative Lifetime. We can use 1 other way(s) to calculate the same, which is/are as follows -

Observed Lifetime = sqrt((Reduced Mass of Fragments*[BoltZ]*Temperature for Quenching)/(8*pi))/(Pressure for Quenching*Cross Section Area for Quenching)

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