Reduced Mass of Exciton Calculator

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✖Effective Mass of Electron is usually stated as a factor multiplying the rest mass of an electron.ⓘ Effective Mass of Electron [m_e]			+10% -10%
✖Effective Mass of Hole is the mass that it seems to have when responding to forces.ⓘ Effective Mass of Hole [m_h]			+10% -10%

✖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.ⓘ Reduced Mass of Exciton [μ_ex]

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Formula

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Reduced Mass of Exciton

Formula

`"μ"_{"ex"} = ("[Mass-e]"*("m"_{"e"}*"m"_{"h"}))/("m"_{"e"}+"m"_{"h"})`

Example

`"0.166765me"=("[Mass-e]"*("0.21"*"0.81"))/("0.21"+"0.81")`

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Reduced Mass of Exciton Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reduced Mass of Exciton = ([Mass-e]*(Effective Mass of Electron*Effective Mass of Hole))/(Effective Mass of Electron+Effective Mass of Hole)
μ_ex = ([Mass-e]*(m_e*m_h))/(m_e+m_h)
This formula uses 1 Constants, 3 Variables

Constants Used

[Mass-e] - Mass of electron Value Taken As 9.10938356E-31

Variables Used

Reduced Mass of Exciton - (Measured in Kilogram) - 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.
Effective Mass of Electron - Effective Mass of Electron is usually stated as a factor multiplying the rest mass of an electron.
Effective Mass of Hole - Effective Mass of Hole is the mass that it seems to have when responding to forces.

STEP 1: Convert Input(s) to Base Unit

Effective Mass of Electron: 0.21 --> No Conversion Required
Effective Mass of Hole: 0.81 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_ex = ([Mass-e]*(m_e*m_h))/(m_e+m_h) --> ([Mass-e]*(0.21*0.81))/(0.21+0.81)

Evaluating ... ...

μ_ex = 1.51912367015294E-31

STEP 3: Convert Result to Output's Unit

1.51912367015294E-31 Kilogram -->0.16676459334417 Electron Mass (Rest) (Check conversion here)

FINAL ANSWER

0.16676459334417 ≈ 0.166765 Electron Mass (Rest) <-- Reduced Mass of Exciton

(Calculation completed in 00.020 seconds)

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Created by Sangita Kalita

National Institute of Technology, Manipur (NIT Manipur), Imphal, Manipur

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< 7 Quantum Dots Calculators

Exciton Bohr Radius

Go 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]

Brus Equation

Go Emission Energy of Quantum Dot = Band Gap Energy+(([hP]^2)/(8*(Radius of Quantum Dot^2)))*((1/([Mass-e]*Effective Mass of Electron))+(1/([Mass-e]*Effective Mass of Hole)))

Reduced Mass of Exciton

Go Reduced Mass of Exciton = ([Mass-e]*(Effective Mass of Electron*Effective Mass of Hole))/(Effective Mass of Electron+Effective Mass of Hole)

Coulombic Attraction Energy

Go Coulombic Attraction Energy = -(1.8*([Charge-e]^2))/(2*pi*[Permeability-vacuum]*Dielectric Constant of Bulk Material*Radius of Quantum Dot)

Total Energy of Particle in Quantum Dot

Go Total Energy of a Particle in Quantum Dot = Band Gap Energy+Confinement Energy+(Coulombic Attraction Energy)

Quantum Capacitance of Quantum Dot

Go Quantum Capacitance of Quantum Dot = ([Charge-e]^2)/(Ionization Potential of N Particle-Electron Affinity of N Particle System)

Confinement Energy

Go Confinement Energy = (([hP]^2)*(pi^2))/(2*(Radius of Quantum Dot^2)*Reduced Mass of Exciton)

Reduced Mass of Exciton Formula

Reduced Mass of Exciton = ([Mass-e]*(Effective Mass of Electron*Effective Mass of Hole))/(Effective Mass of Electron+Effective Mass of Hole)
μ_ex = ([Mass-e]*(m_e*m_h))/(m_e+m_h)

What is an exciton?

An electron and a hole that are attracted to each other by the Coulomb force can form a bound state called exciton.

How to Calculate Reduced Mass of Exciton?

Reduced Mass of Exciton calculator uses Reduced Mass of Exciton = ([Mass-e]*(Effective Mass of Electron*Effective Mass of Hole))/(Effective Mass of Electron+Effective Mass of Hole) to calculate 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 calculate Reduced Mass of Exciton using this online calculator? To use this online calculator for Reduced Mass of Exciton, enter Effective Mass of Electron (m_e) & Effective Mass of Hole (m_h) and hit the calculate button. Here is how the Reduced Mass of Exciton calculation can be explained with given input values -> 1.8E+29 = ([Mass-e]*(0.21*0.81))/(0.21+0.81).

FAQ

What is 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 and is represented as μ_ex = ([Mass-e]*(m_e*m_h))/(m_e+m_h) or Reduced Mass of Exciton = ([Mass-e]*(Effective Mass of Electron*Effective Mass of Hole))/(Effective Mass of Electron+Effective Mass of Hole). Effective Mass of Electron is usually stated as a factor multiplying the rest mass of an electron & Effective Mass of Hole is the mass that it seems to have when responding to forces.

How to calculate 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 is calculated using Reduced Mass of Exciton = ([Mass-e]*(Effective Mass of Electron*Effective Mass of Hole))/(Effective Mass of Electron+Effective Mass of Hole). To calculate Reduced Mass of Exciton, you need Effective Mass of Electron (m_e) & Effective Mass of Hole (m_h). With our tool, you need to enter the respective value for Effective Mass of Electron & Effective Mass of Hole and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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