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Reduced Mass of Exciton Formula

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Reduced Mass of Exciton is the reduced mass of an electron and a hole that are attracted to each other by the Coulomb force which can form a bound state called exciton. Check FAQs

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

μ_ex - Reduced Mass of Exciton?m_e - Effective Mass of Electron?m_h - Effective Mass of Hole?[Mass-e] - Mass of electron?

Reduced Mass of Exciton Example

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Here is how the Reduced Mass of Exciton equation looks like with Values.

Here is how the Reduced Mass of Exciton equation looks like with Units.

Here is how the Reduced Mass of Exciton equation looks like.

0.1668 = \frac{9.1E-31 \cdot (0.21 \cdot 0.81)}{0.21 + 0.81}

0.1668me = \frac{9.1E-31kg \cdot (0.21 \cdot 0.81)}{0.21 + 0.81}

0.1668 = \frac{9.1E-31 \cdot (0.21 \cdot 0.81)}{0.21 + 0.81}

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Reduced Mass of Exciton Solution

Follow our step by step solution on how to calculate Reduced Mass of Exciton?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ ex = \frac{[Mass-e] \cdot (0.21 \cdot 0.81)}{0.21 + 0.81}

Next Step Substitute values of Constants

∴

μ ex = \frac{9.1E-31kg \cdot (0.21 \cdot 0.81)}{0.21 + 0.81}

Next Step Prepare to Evaluate

∴

μ ex = \frac{9.1E-31 \cdot (0.21 \cdot 0.81)}{0.21 + 0.81}

Next Step Evaluate

∴

μ ex = 1.51912367015294E-31kg

Next Step Convert to Output's Unit

∴

μ ex = 0.16676459334417me

LAST Step Rounding Answer

∴

μ ex = 0.1668me

Reduced Mass of Exciton Formula Elements

Variables

Constants

Reduced Mass of Exciton

Reduced Mass of Exciton is the reduced mass of an electron and a hole that are attracted to each other by the Coulomb force which can form a bound state called exciton.

Symbol: μ_ex

Measurement: WeightUnit: me

Note: Value can be positive or negative.

Formulas to find Reduced Mass of Exciton

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

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

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 Brus Equation

E emission = E gap + (\frac{{[hP]}^{2}}{8 \cdot (a^{2})}) \cdot ((\frac{1}{[Mass-e] \cdot m e}) + (\frac{1}{[Mass-e] \cdot m h}))

How to Evaluate Reduced Mass of Exciton?

Reduced Mass of Exciton evaluator uses Reduced Mass of Exciton = ([Mass-e]*(Effective Mass of Electron*Effective Mass of Hole))/(Effective Mass of Electron+Effective Mass of Hole) to evaluate the Reduced Mass of Exciton, The Reduced Mass of Exciton formula is defined as a measure of the effective inertial mass of a system with two or more particles when the particles are interacting with each other. In the case of an exciton, the particles are the electron and hole. Reduced Mass of Exciton is denoted by μ_ex symbol.

How to evaluate Reduced Mass of Exciton using this online evaluator? To use this online evaluator for Reduced Mass of Exciton, enter Effective Mass of Electron (m_e) & Effective Mass of Hole (m_h) and hit the calculate button.

FAQs on Reduced Mass of Exciton

What is the formula to find Reduced Mass of Exciton?

The formula of Reduced Mass of Exciton is expressed as Reduced Mass of Exciton = ([Mass-e]*(Effective Mass of Electron*Effective Mass of Hole))/(Effective Mass of Electron+Effective Mass of Hole). Here is an example- 1.8E+29 = ([Mass-e]*(0.21*0.81))/(0.21+0.81).

How to calculate Reduced Mass of Exciton?

With Effective Mass of Electron (m_e) & Effective Mass of Hole (m_h) we can find Reduced Mass of Exciton using the formula - Reduced Mass of Exciton = ([Mass-e]*(Effective Mass of Electron*Effective Mass of Hole))/(Effective Mass of Electron+Effective Mass of Hole). This formula also uses Mass of electron constant(s).

Can the Reduced Mass of Exciton be negative?

Yes, the Reduced Mass of Exciton, measured in Weight can be negative.

Which unit is used to measure Reduced Mass of Exciton?

Reduced Mass of Exciton is usually measured using the Electron Mass (Rest)[me] for Weight. Kilogram[me], Gram[me], Milligram[me] are the few other units in which Reduced Mass of Exciton can be measured.

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Reduced Mass of Exciton Formula

Reduced Mass of Exciton Example

Reduced Mass of Exciton Solution

Reduced Mass of Exciton Formula Elements

Other formulas in Quantum Dots category

How to Evaluate Reduced Mass of Exciton?

FAQs on Reduced Mass of Exciton

Variable Name