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Mean Free Tunneling Time for Electron Formula

GoMean Free Tunneling Time Given Velocity Formula

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Mean Free Tunneling Time is duration of events or the intervals between them when an object such as an electron or atom passes through a potential energy barrier. Check FAQs

T e = \frac{\sqrt{\frac{IP}{2 \cdot [Mass-e]}}}{F BSI}

T_e - Mean Free Tunneling Time?IP - Ionization Potential Barrier Suppression?F_BSI - Field Strength for Barrier Suppression Ionization?[Mass-e] - Mass of electron?

Mean Free Tunneling Time for Electron Example

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Here is how the Mean Free Tunneling Time for Electron equation looks like with Values.

Here is how the Mean Free Tunneling Time for Electron equation looks like with Units.

Here is how the Mean Free Tunneling Time for Electron equation looks like.

2.7E+33 = \frac{\sqrt{\frac{13.6}{2 \cdot 9.1E-31}}}{4.1E-28}

2.7E+33fs = \frac{\sqrt{\frac{13.6eV}{2 \cdot 9.1E-31kg}}}{4.1E-28V/m}

2.7E+33 = \frac{\sqrt{\frac{13.6}{2 \cdot 9.1E-31}}}{4.1E-28}

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Mean Free Tunneling Time for Electron Solution

Follow our step by step solution on how to calculate Mean Free Tunneling Time for Electron?

FIRST Step Consider the formula

T e = \frac{\sqrt{\frac{IP}{2 \cdot [Mass-e]}}}{F BSI}

Next Step Substitute values of Variables

∴

T e = \frac{\sqrt{\frac{13.6eV}{2 \cdot [Mass-e]}}}{4.1E-28V/m}

Next Step Substitute values of Constants

∴

T e = \frac{\sqrt{\frac{13.6eV}{2 \cdot 9.1E-31kg}}}{4.1E-28V/m}

Next Step Convert Units

∴

T e = \frac{\sqrt{\frac{2.2E-18J}{2 \cdot 9.1E-31kg}}}{4.1E-28V/m}

Next Step Prepare to Evaluate

∴

T e = \frac{\sqrt{\frac{2.2E-18}{2 \cdot 9.1E-31}}}{4.1E-28}

Next Step Evaluate

∴

T e = 2.66735853967E+18s

Next Step Convert to Output's Unit

∴

T e = 2.66735853967E+33fs

LAST Step Rounding Answer

∴

T e = 2.7E+33fs

Mean Free Tunneling Time for Electron Formula Elements

Variables

Constants

Functions

Mean Free Tunneling Time

Mean Free Tunneling Time is duration of events or the intervals between them when an object such as an electron or atom passes through a potential energy barrier.

Symbol: T_e

Measurement: TimeUnit: fs

Note: Value can be positive or negative.

Formulas to find Mean Free Tunneling Time

Ionization Potential Barrier Suppression

Ionization Potential Barrier Suppression is the amount of energy required to remove an electron from the outermost shell of a neutral atom.

Symbol: IP

Measurement: EnergyUnit: eV

Note: Value can be positive or negative.

Formulas to find Ionization Potential Barrier Suppression

Field Strength for Barrier Suppression Ionization

Field Strength for Barrier Suppression Ionization is a measure of the electric force exerted per unit positive charge.

Symbol: F_BSI

Measurement: Electric Field StrengthUnit: V/m

Note: Value can be positive or negative.

Formulas to find Field Strength for Barrier Suppression Ionization

Mass of electron

Mass of electron is a fundamental physical constant, representing the amount of matter contained within an electron, an elementary particle with a negative electric charge.

Symbol: [Mass-e]

Value: 9.10938356E-31 kg

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 Mean Free Tunneling Time

Go Mean Free Tunneling Time Given Velocity

T e = \frac{1}{v e}

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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 Observed Lifetime Given Reduced Mass

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

How to Evaluate Mean Free Tunneling Time for Electron?

Mean Free Tunneling Time for Electron evaluator uses Mean Free Tunneling Time = (sqrt(Ionization Potential Barrier Suppression/(2*[Mass-e])))/Field Strength for Barrier Suppression Ionization to evaluate the Mean Free Tunneling Time, The Mean Free Tunneling Time for Electron formula is defined as time required for an electron to pass through a potential energy barrier. In order for the electron to escape, the mean tunneling time must be less than one half the period of the laser frequency. Mean Free Tunneling Time is denoted by T_e symbol.

How to evaluate Mean Free Tunneling Time for Electron using this online evaluator? To use this online evaluator for Mean Free Tunneling Time for Electron, enter Ionization Potential Barrier Suppression (IP) & Field Strength for Barrier Suppression Ionization (F_BSI) and hit the calculate button.

FAQs on Mean Free Tunneling Time for Electron

What is the formula to find Mean Free Tunneling Time for Electron?

The formula of Mean Free Tunneling Time for Electron is expressed as Mean Free Tunneling Time = (sqrt(Ionization Potential Barrier Suppression/(2*[Mass-e])))/Field Strength for Barrier Suppression Ionization. Here is an example- 2.7E+48 = (sqrt(2.17896116880001E-18/(2*[Mass-e])))/4.1E-28.

How to calculate Mean Free Tunneling Time for Electron?

With Ionization Potential Barrier Suppression (IP) & Field Strength for Barrier Suppression Ionization (F_BSI) we can find Mean Free Tunneling Time for Electron using the formula - Mean Free Tunneling Time = (sqrt(Ionization Potential Barrier Suppression/(2*[Mass-e])))/Field Strength for Barrier Suppression Ionization. This formula also uses Mass of electron constant(s) and Square Root Function function(s).

What are the other ways to Calculate Mean Free Tunneling Time?

Here are the different ways to Calculate Mean Free Tunneling Time-

Mean Free Tunneling Time=1/Mean Electron Velocity

Can the Mean Free Tunneling Time for Electron be negative?

Yes, the Mean Free Tunneling Time for Electron, measured in Time can be negative.

Which unit is used to measure Mean Free Tunneling Time for Electron?

Mean Free Tunneling Time for Electron is usually measured using the Femtosecond[fs] for Time. Second[fs], Millisecond[fs], Microsecond[fs] are the few other units in which Mean Free Tunneling Time for Electron can be measured.

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Mean Free Tunneling Time for Electron Formula

​GoMean Free Tunneling Time Given Velocity Formula

Mean Free Tunneling Time for Electron Example

Mean Free Tunneling Time for Electron Solution

Mean Free Tunneling Time for Electron Formula Elements

Other Formulas to find Mean Free Tunneling Time

Other formulas in Femtochemistry category

How to Evaluate Mean Free Tunneling Time for Electron?

FAQs on Mean Free Tunneling Time for Electron

Variable Name

GoMean Free Tunneling Time Given Velocity Formula