Observed Lifetime Given Reduced Mass Calculator

✖Reduced Mass of Fragments is a measure of the effective inertial mass of a system with two or more particles when the particles are interacting with each other during bond breakage.ⓘ Reduced Mass of Fragments [μ]			+10% -10%
✖Temperature for Quenching expresses quantitatively the attribute of hotness or coldness.ⓘ Temperature for Quenching [T]			+10% -10%
✖Pressure for Quenching is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure for Quenching [P]			+10% -10%
✖Cross Section Area for Quenching is the non-empty intersection of a solid body in three-dimensional space with a plane.ⓘ Cross Section Area for Quenching [σ]			+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 Reduced Mass [τ_obs]

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Observed Lifetime Given Reduced Mass

Formula

`"τ"_{"obs"} = sqrt(("μ"*"[BoltZ]"*"T")/(8*pi))/("P"*"σ")`

Example

`"1.3E^-15fs"=sqrt(("0.018kg"*"[BoltZ]"*"300K")/(8*pi))/("150mmHg"*"9mm²")`

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Observed Lifetime Given Reduced Mass Solution

STEP 0: Pre-Calculation Summary

Formula Used

Observed Lifetime = sqrt((Reduced Mass of Fragments*[BoltZ]*Temperature for Quenching)/(8*pi))/(Pressure for Quenching*Cross Section Area for Quenching)
τ_obs = sqrt((μ*[BoltZ]*T)/(8*pi))/(P*σ)
This formula uses 2 Constants, 1 Functions, 5 Variables

Constants Used

[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Reduced Mass of Fragments - (Measured in Kilogram) - Reduced Mass of Fragments is a measure of the effective inertial mass of a system with two or more particles when the particles are interacting with each other during bond breakage.
Temperature for Quenching - (Measured in Kelvin) - Temperature for Quenching expresses quantitatively the attribute of hotness or coldness.
Pressure for Quenching - (Measured in Millimeter Mercury (0 °C)) - Pressure for Quenching is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Cross Section Area for Quenching - (Measured in Square Millimeter) - Cross Section Area for Quenching is the non-empty intersection of a solid body in three-dimensional space with a plane.

STEP 1: Convert Input(s) to Base Unit

Reduced Mass of Fragments: 0.018 Kilogram --> 0.018 Kilogram No Conversion Required
Temperature for Quenching: 300 Kelvin --> 300 Kelvin No Conversion Required
Pressure for Quenching: 150 Millimeter Mercury (0 °C) --> 150 Millimeter Mercury (0 °C) No Conversion Required
Cross Section Area for Quenching: 9 Square Millimeter --> 9 Square Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_obs = sqrt((μ*[BoltZ]*T)/(8*pi))/(P*σ) --> sqrt((0.018*[BoltZ]*300)/(8*pi))/(150*9)

Evaluating ... ...

τ_obs = 1.27580631477454E-15

STEP 3: Convert Result to Output's Unit

1.27580631477454E-30 Second -->1.27580631477454E-15 Femtosecond (Check conversion here)

FINAL ANSWER

1.27580631477454E-15 ≈ 1.3E-15 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 Reduced Mass Formula

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

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 Reduced Mass?

Observed Lifetime Given Reduced Mass calculator uses Observed Lifetime = sqrt((Reduced Mass of Fragments*[BoltZ]*Temperature for Quenching)/(8*pi))/(Pressure for Quenching*Cross Section Area for Quenching) to calculate the Observed Lifetime, The Observed Lifetime Given Reduced Mass 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 reduced mass. Observed Lifetime is denoted by τ_obs symbol.

How to calculate Observed Lifetime Given Reduced Mass using this online calculator? To use this online calculator for Observed Lifetime Given Reduced Mass, enter Reduced Mass of Fragments (μ), Temperature for Quenching (T), Pressure for Quenching (P) & Cross Section Area for Quenching (σ) and hit the calculate button. Here is how the Observed Lifetime Given Reduced Mass calculation can be explained with given input values -> 9.6E+18 = sqrt((0.018*[BoltZ]*300)/(8*pi))/(19998.3*9E-06).

FAQ

What is Observed Lifetime Given Reduced Mass?

The Observed Lifetime Given Reduced Mass 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 reduced mass and is represented as τ_obs = sqrt((μ*[BoltZ]*T)/(8*pi))/(P*σ) or Observed Lifetime = sqrt((Reduced Mass of Fragments*[BoltZ]*Temperature for Quenching)/(8*pi))/(Pressure for Quenching*Cross Section Area for Quenching). Reduced Mass of Fragments is a measure of the effective inertial mass of a system with two or more particles when the particles are interacting with each other during bond breakage, Temperature for Quenching expresses quantitatively the attribute of hotness or coldness, Pressure for Quenching is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & Cross Section Area for Quenching is the non-empty intersection of a solid body in three-dimensional space with a plane.

How to calculate Observed Lifetime Given Reduced Mass?

The Observed Lifetime Given Reduced Mass 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 reduced mass is calculated using Observed Lifetime = sqrt((Reduced Mass of Fragments*[BoltZ]*Temperature for Quenching)/(8*pi))/(Pressure for Quenching*Cross Section Area for Quenching). To calculate Observed Lifetime Given Reduced Mass, you need Reduced Mass of Fragments (μ), Temperature for Quenching (T), Pressure for Quenching (P) & Cross Section Area for Quenching (σ). With our tool, you need to enter the respective value for Reduced Mass of Fragments, Temperature for Quenching, Pressure for Quenching & Cross Section Area for Quenching 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 Reduced Mass of Fragments, Temperature for Quenching, Pressure for Quenching & Cross Section Area for Quenching. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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