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Excitation Energy Formula

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Excitation Energy is the energy required to excite an electron from the valence band into the conduction band. Check FAQs

E exc = 1.6 \cdot 10^{- 19} \cdot 13.6 \cdot (\frac{m eff}{[Mass-e]}) \cdot (\frac{1}{{[Permitivity-silicon]}^{2}})

E_exc - Excitation Energy?m_eff - Effective Mass of Electron?[Mass-e] - Mass of electron?[Permitivity-silicon] - Permittivity of silicon?

Excitation Energy Example

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Here is how the Excitation Energy equation looks like with Values.

Here is how the Excitation Energy equation looks like with Units.

Here is how the Excitation Energy equation looks like.

0.0218 = 1.6 \cdot 10^{- 19} \cdot 13.6 \cdot (\frac{2E-31}{9.1E-31}) \cdot (\frac{1}{{11.7}^{2}})

0.0218eV = 1.6 \cdot 10^{- 19} \cdot 13.6 \cdot (\frac{2E-31kg}{9.1E-31kg}) \cdot (\frac{1}{{11.7}^{2}})

0.0218 = 1.6 \cdot 10^{- 19} \cdot 13.6 \cdot (\frac{2E-31}{9.1E-31}) \cdot (\frac{1}{{11.7}^{2}})

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Excitation Energy Solution

Follow our step by step solution on how to calculate Excitation Energy?

FIRST Step Consider the formula

E exc = 1.6 \cdot 10^{- 19} \cdot 13.6 \cdot (\frac{m eff}{[Mass-e]}) \cdot (\frac{1}{{[Permitivity-silicon]}^{2}})

Next Step Substitute values of Variables

∴

E exc = 1.6 \cdot 10^{- 19} \cdot 13.6 \cdot (\frac{2E-31kg}{[Mass-e]}) \cdot (\frac{1}{{[Permitivity-silicon]}^{2}})

Next Step Substitute values of Constants

∴

E exc = 1.6 \cdot 10^{- 19} \cdot 13.6 \cdot (\frac{2E-31kg}{9.1E-31kg}) \cdot (\frac{1}{{11.7}^{2}})

Next Step Prepare to Evaluate

∴

E exc = 1.6 \cdot 10^{- 19} \cdot 13.6 \cdot (\frac{2E-31}{9.1E-31}) \cdot (\frac{1}{{11.7}^{2}})

Next Step Evaluate

∴

E exc = 3.49002207792288E-21J

Next Step Convert to Output's Unit

∴

E exc = 0.0217829950066942eV

LAST Step Rounding Answer

∴

E exc = 0.0218eV

Excitation Energy Formula Elements

Variables

Constants

Excitation Energy

Excitation Energy is the energy required to excite an electron from the valence band into the conduction band.

Symbol: E_exc

Measurement: EnergyUnit: eV

Note: Value can be positive or negative.

Formulas to find Excitation Energy

Effective Mass of Electron

Effective Mass of Electron is a concept used in solid-state physics to describe the behavior of electrons in a crystal lattice or a semiconductor material.

Symbol: m_eff

Measurement: WeightUnit: kg

Note: Value should be less than 9.2E-31.

Formulas to find Effective Mass of Electron

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

Permittivity of silicon

Permittivity of silicon measures its ability to store electrical energy in an electric field, vital in semiconductor technology.

Symbol: [Permitivity-silicon]

Value: 11.7

Other formulas in Devices with Optical Components category

Go Angle of Rotation of Plane of Polarization

θ = 1.8 \cdot B \cdot L m

Go Apex Angle

A = \tan (α)

Go Brewsters Angle

θ B = \arctan (\frac{n 1}{n ri})

Go Current Due to Optically Generated Carrier

i opt = q \cdot A pn \cdot g op \cdot (W + L dif + L p)

How to Evaluate Excitation Energy?

Excitation Energy evaluator uses Excitation Energy = 1.6*10^-19*13.6*(Effective Mass of Electron/[Mass-e])*(1/[Permitivity-silicon]^2) to evaluate the Excitation Energy, The Excitation Energy formula is defined as the energy required to excite an electron from the valence band into the conduction band of a semiconductor. It is usually measured in terms of eV. Excitation Energy is denoted by E_exc symbol.

How to evaluate Excitation Energy using this online evaluator? To use this online evaluator for Excitation Energy, enter Effective Mass of Electron (m_eff) and hit the calculate button.

FAQs on Excitation Energy

What is the formula to find Excitation Energy?

The formula of Excitation Energy is expressed as Excitation Energy = 1.6*10^-19*13.6*(Effective Mass of Electron/[Mass-e])*(1/[Permitivity-silicon]^2). Here is an example- 1.4E+17 = 1.6*10^-19*13.6*(2E-31/[Mass-e])*(1/[Permitivity-silicon]^2).

How to calculate Excitation Energy?

With Effective Mass of Electron (m_eff) we can find Excitation Energy using the formula - Excitation Energy = 1.6*10^-19*13.6*(Effective Mass of Electron/[Mass-e])*(1/[Permitivity-silicon]^2). This formula also uses Mass of electron, Permittivity of silicon constant(s).

Can the Excitation Energy be negative?

Yes, the Excitation Energy, measured in Energy can be negative.

Which unit is used to measure Excitation Energy?

Excitation Energy is usually measured using the Electron-Volt[eV] for Energy. Joule[eV], Kilojoule[eV], Gigajoule[eV] are the few other units in which Excitation Energy can be measured.

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