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Exciton Bohr Radius Formula

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Exciton Bohr Radius can be defined as the separation distance between electron and hole. Check FAQs

a B = ε r \cdot (\frac{m e}{\frac{m e \cdot m h}{m e + m h}}) \cdot [Bohr-r]

a_B - Exciton Bohr Radius?ε_r - Dielectric Constant of Bulk Material?m_e - Effective Mass of Electron?m_h - Effective Mass of Hole?[Bohr-r] - Bohr radius?

Exciton Bohr Radius Example

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Here is how the Exciton Bohr Radius equation looks like with Values.

Here is how the Exciton Bohr Radius equation looks like with Units.

Here is how the Exciton Bohr Radius equation looks like.

0.373 = 5.6 \cdot (\frac{0.21}{\frac{0.21 \cdot 0.81}{0.21 + 0.81}}) \cdot 5.3E-11

0.373nm = 5.6 \cdot (\frac{0.21}{\frac{0.21 \cdot 0.81}{0.21 + 0.81}}) \cdot 5.3E-11m

0.373 = 5.6 \cdot (\frac{0.21}{\frac{0.21 \cdot 0.81}{0.21 + 0.81}}) \cdot 5.3E-11

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Exciton Bohr Radius Solution

Follow our step by step solution on how to calculate Exciton Bohr Radius?

FIRST Step Consider the formula

a B = ε r \cdot (\frac{m e}{\frac{m e \cdot m h}{m e + m h}}) \cdot [Bohr-r]

Next Step Substitute values of Variables

∴

a B = 5.6 \cdot (\frac{0.21}{\frac{0.21 \cdot 0.81}{0.21 + 0.81}}) \cdot [Bohr-r]

Next Step Substitute values of Constants

∴

a B = 5.6 \cdot (\frac{0.21}{\frac{0.21 \cdot 0.81}{0.21 + 0.81}}) \cdot 5.3E-11m

Next Step Prepare to Evaluate

∴

a B = 5.6 \cdot (\frac{0.21}{\frac{0.21 \cdot 0.81}{0.21 + 0.81}}) \cdot 5.3E-11

Next Step Evaluate

∴

a B = 3.73042962962963E-10m

Next Step Convert to Output's Unit

∴

a B = 0.373042962962963nm

LAST Step Rounding Answer

∴

a B = 0.373nm

Exciton Bohr Radius Formula Elements

Variables

Constants

Exciton Bohr Radius

Exciton Bohr Radius can be defined as the separation distance between electron and hole.

Symbol: a_B

Measurement: LengthUnit: nm

Note: Value can be positive or negative.

Formulas to find Exciton Bohr Radius

Dielectric Constant of Bulk Material

Dielectric Constant of Bulk Material is the permittivity of Bulk Material expressed as a ratio with the electric permittivity of a vacuum.

Symbol: ε_r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Dielectric Constant of Bulk Material

Effective Mass of Electron

Effective Mass of Electron is usually stated as a factor multiplying the rest mass of an electron.

Symbol: m_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Effective Mass of Electron

Effective Mass of Hole

Effective Mass of Hole is the mass that it seems to have when responding to forces.

Symbol: m_h

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Effective Mass of Hole

Bohr radius

Bohr radius is a fundamental physical constant representing the average distance between the nucleus and the electron in a hydrogen atom in its ground state.

Symbol: [Bohr-r]

Value: 0.529E-10 m

Other formulas in Quantum Dots category

Go Quantum Capacitance of Quantum Dot

C N = \frac{{[Charge-e]}^{2}}{IP N - EA N}

Go Confinement Energy

E confinement = \frac{({[hP]}^{2}) \cdot (π^{2})}{2 \cdot (a^{2}) \cdot μ ex}

Go Coulombic Attraction Energy

E coulombic = - \frac{1.8 \cdot ({[Charge-e]}^{2})}{2 \cdot π \cdot [Permeability-vacuum] \cdot ε r \cdot a}

Go Reduced Mass of Exciton

μ ex = \frac{[Mass-e] \cdot (m e \cdot m h)}{m e + m h}

How to Evaluate Exciton Bohr Radius?

Exciton Bohr Radius evaluator uses Exciton Bohr Radius = Dielectric Constant of Bulk Material*(Effective Mass of Electron/((Effective Mass of Electron*Effective Mass of Hole)/(Effective Mass of Electron+Effective Mass of Hole)))*[Bohr-r] to evaluate the Exciton Bohr Radius, The Exciton Bohr Radius formula is defined as the separation distance between electron and hole in an exciton. The charge carriers can move freely in bulk semiconductor, thus the wavefunction looks much like a hydrogen atom. Exciton Bohr Radius is denoted by a_B symbol.

How to evaluate Exciton Bohr Radius using this online evaluator? To use this online evaluator for Exciton Bohr Radius, enter Dielectric Constant of Bulk Material (ε_r), Effective Mass of Electron (m_e) & Effective Mass of Hole (m_h) and hit the calculate button.

FAQs on Exciton Bohr Radius

What is the formula to find Exciton Bohr Radius?

The formula of Exciton Bohr Radius is expressed as Exciton Bohr Radius = Dielectric Constant of Bulk Material*(Effective Mass of Electron/((Effective Mass of Electron*Effective Mass of Hole)/(Effective Mass of Electron+Effective Mass of Hole)))*[Bohr-r]. Here is an example- 3.7E+8 = 5.6*(0.21/((0.21*0.81)/(0.21+0.81)))*[Bohr-r].

How to calculate Exciton Bohr Radius?

With Dielectric Constant of Bulk Material (ε_r), Effective Mass of Electron (m_e) & Effective Mass of Hole (m_h) we can find Exciton Bohr Radius using the formula - Exciton Bohr Radius = Dielectric Constant of Bulk Material*(Effective Mass of Electron/((Effective Mass of Electron*Effective Mass of Hole)/(Effective Mass of Electron+Effective Mass of Hole)))*[Bohr-r]. This formula also uses Bohr radius constant(s).

Can the Exciton Bohr Radius be negative?

Yes, the Exciton Bohr Radius, measured in Length can be negative.

Which unit is used to measure Exciton Bohr Radius?

Exciton Bohr Radius is usually measured using the Nanometer[nm] for Length. Meter[nm], Millimeter[nm], Kilometer[nm] are the few other units in which Exciton Bohr Radius can be measured.

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Exciton Bohr Radius Formula

Exciton Bohr Radius Example

Exciton Bohr Radius Solution

Exciton Bohr Radius Formula Elements

Other formulas in Quantum Dots category

How to Evaluate Exciton Bohr Radius?

FAQs on Exciton Bohr Radius

Variable Name