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Observed Lifetime Given Reduced Mass Formula

GoObserved Lifetime Given Quenching Time Formula

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Observed Lifetime is the total lifetime for collision-induced predissociation and quenching rates for iodine via two-body collision kinetics. Check FAQs

τ obs = \frac{\sqrt{\frac{μ \cdot [BoltZ] \cdot T}{8 \cdot π}}}{P \cdot σ}

τ_obs - Observed Lifetime?μ - Reduced Mass of Fragments?T - Temperature for Quenching?P - Pressure for Quenching?σ - Cross Section Area for Quenching?[BoltZ] - Boltzmann constant?π - Archimedes' constant?

Observed Lifetime Given Reduced Mass Example

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Here is how the Observed Lifetime Given Reduced Mass equation looks like with Values.

Here is how the Observed Lifetime Given Reduced Mass equation looks like with Units.

Here is how the Observed Lifetime Given Reduced Mass equation looks like.

1.3E-15 = \frac{\sqrt{\frac{0.018 \cdot 1.4E-23 \cdot 300}{8 \cdot 3.1416}}}{150 \cdot 9}

1.3E-15fs = \frac{\sqrt{\frac{0.018kg \cdot 1.4E-23J/K \cdot 300K}{8 \cdot 3.1416}}}{150mmHg \cdot 9mm²}

1.3E-15 = \frac{\sqrt{\frac{0.018 \cdot 1.4E-23 \cdot 300}{8 \cdot 3.1416}}}{150 \cdot 9}

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Observed Lifetime Given Reduced Mass Solution

Follow our step by step solution on how to calculate Observed Lifetime Given Reduced Mass?

FIRST Step Consider the formula

τ obs = \frac{\sqrt{\frac{μ \cdot [BoltZ] \cdot T}{8 \cdot π}}}{P \cdot σ}

Next Step Substitute values of Variables

∴

τ obs = \frac{\sqrt{\frac{0.018kg \cdot [BoltZ] \cdot 300K}{8 \cdot π}}}{150mmHg \cdot 9mm²}

Next Step Substitute values of Constants

∴

τ obs = \frac{\sqrt{\frac{0.018kg \cdot 1.4E-23J/K \cdot 300K}{8 \cdot 3.1416}}}{150mmHg \cdot 9mm²}

Next Step Prepare to Evaluate

∴

τ obs = \frac{\sqrt{\frac{0.018 \cdot 1.4E-23 \cdot 300}{8 \cdot 3.1416}}}{150 \cdot 9}

Next Step Evaluate

∴

τ obs = 1.27580631477454E-30s

Next Step Convert to Output's Unit

∴

τ obs = 1.27580631477454E-15fs

LAST Step Rounding Answer

∴

τ obs = 1.3E-15fs

Observed Lifetime Given Reduced Mass Formula Elements

Variables

Constants

Functions

Observed Lifetime

Observed Lifetime is the total lifetime for collision-induced predissociation and quenching rates for iodine via two-body collision kinetics.

Symbol: τ_obs

Measurement: TimeUnit: fs

Note: Value should be greater than 0.

Formulas to find Observed Lifetime

Reduced Mass of Fragments

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.

Symbol: μ

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Reduced Mass of Fragments

Temperature for Quenching

Temperature for Quenching expresses quantitatively the attribute of hotness or coldness.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature for Quenching

Pressure for Quenching

Pressure for Quenching is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: P

Measurement: PressureUnit: mmHg

Note: Value can be positive or negative.

Formulas to find Pressure for Quenching

Cross Section Area for Quenching

Cross Section Area for Quenching is the non-empty intersection of a solid body in three-dimensional space with a plane.

Symbol: σ

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Cross Section Area for Quenching

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Observed Lifetime

Go Observed Lifetime Given Quenching Time

τ obs = \frac{(τ s \cdot τ q) + (τ 0 \cdot τ q) + (τ s \cdot τ 0)}{τ 0 \cdot τ s \cdot τ q}

Other formulas in Femtochemistry category

Go Bond Breakage Time

ζ BB = (\frac{L}{v}) \cdot \ln (\frac{4 \cdot E}{δ})

Go Potential for Exponential Repulsion

V = E \cdot {(sech (\frac{v \cdot t}{2 \cdot L}))}^{2}

Go Recoil Energy for Bond Breaking

E = (\frac{1}{2}) \cdot μ \cdot (v^{2})

Go Anisotropy Decay Behavior

R = \frac{I ∥ - I ⊥}{I ∥ + (2 \cdot I ⊥)}

How to Evaluate Observed Lifetime Given Reduced Mass?

Observed Lifetime Given Reduced Mass evaluator uses Observed Lifetime = sqrt((Reduced Mass of Fragments*[BoltZ]*Temperature for Quenching)/(8*pi))/(Pressure for Quenching*Cross Section Area for Quenching) to evaluate 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 evaluate Observed Lifetime Given Reduced Mass using this online evaluator? To use this online evaluator 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.

FAQs on Observed Lifetime Given Reduced Mass

What is the formula to find Observed Lifetime Given Reduced Mass?

The formula of Observed Lifetime Given Reduced Mass is expressed as Observed Lifetime = sqrt((Reduced Mass of Fragments*[BoltZ]*Temperature for Quenching)/(8*pi))/(Pressure for Quenching*Cross Section Area for Quenching). Here is an example- 9.6E+18 = sqrt((0.018*[BoltZ]*300)/(8*pi))/(19998.3*9E-06).

How to calculate Observed Lifetime Given Reduced Mass?

With Reduced Mass of Fragments (μ), Temperature for Quenching (T), Pressure for Quenching (P) & Cross Section Area for Quenching (σ) we can find Observed Lifetime Given Reduced Mass using the formula - Observed Lifetime = sqrt((Reduced Mass of Fragments*[BoltZ]*Temperature for Quenching)/(8*pi))/(Pressure for Quenching*Cross Section Area for Quenching). This formula also uses Boltzmann constant, Archimedes' constant and Square Root Function function(s).

What are the other ways to Calculate Observed Lifetime?

Here are the different ways to Calculate Observed Lifetime-

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

Can the Observed Lifetime Given Reduced Mass be negative?

No, the Observed Lifetime Given Reduced Mass, measured in Time cannot be negative.

Which unit is used to measure Observed Lifetime Given Reduced Mass?

Observed Lifetime Given Reduced Mass is usually measured using the Femtosecond[fs] for Time. Second[fs], Millisecond[fs], Microsecond[fs] are the few other units in which Observed Lifetime Given Reduced Mass can be measured.

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Observed Lifetime Given Reduced Mass Formula

​GoObserved Lifetime Given Quenching Time Formula

Observed Lifetime Given Reduced Mass Example

Observed Lifetime Given Reduced Mass Solution

Observed Lifetime Given Reduced Mass Formula Elements

Other Formulas to find Observed Lifetime

Other formulas in Femtochemistry category

How to Evaluate Observed Lifetime Given Reduced Mass?

FAQs on Observed Lifetime Given Reduced Mass

Variable Name

GoObserved Lifetime Given Quenching Time Formula