Total Energy of Particle in Quantum Dot Calculator

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✖The Band Gap Energy is the minimum amount of energy required for an exciton to break free of its bound state.ⓘ Band Gap Energy [E_gap]			+10% -10%
✖Confinement Energy in the particle in a box model is also used in modeling the exciton. Variance of particle size allows for control of the confinement energy.ⓘ Confinement Energy [E_confinement]			+10% -10%
✖Coulombic Attraction Energy is the energy which holds together the ionic compounds.ⓘ Coulombic Attraction Energy [E_coulombic]			+10% -10%

✖Total Energy of a Particle in Quantum Dot is the sum of Band gap energy, Confinement energy and Coulombic or bound exciton energy.ⓘ Total Energy of Particle in Quantum Dot [E_total]

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Total Energy of Particle in Quantum Dot

Formula

`"E"_{"total"} = "E"_{"gap"}+"E"_{"confinement"}+("E"_{"coulombic"})`

Example

`"11.44eV"="1.74eV"+"9.7eV"+("-2.2E^-6eV")`

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Total Energy of Particle in Quantum Dot Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Energy of a Particle in Quantum Dot = Band Gap Energy+Confinement Energy+(Coulombic Attraction Energy)
E_total = E_gap+E_confinement+(E_coulombic)
This formula uses 4 Variables

Variables Used

Total Energy of a Particle in Quantum Dot - (Measured in Joule) - Total Energy of a Particle in Quantum Dot is the sum of Band gap energy, Confinement energy and Coulombic or bound exciton energy.
Band Gap Energy - (Measured in Joule) - The Band Gap Energy is the minimum amount of energy required for an exciton to break free of its bound state.
Confinement Energy - (Measured in Joule) - Confinement Energy in the particle in a box model is also used in modeling the exciton. Variance of particle size allows for control of the confinement energy.
Coulombic Attraction Energy - (Measured in Joule) - Coulombic Attraction Energy is the energy which holds together the ionic compounds.

STEP 1: Convert Input(s) to Base Unit

Band Gap Energy: 1.74 Electron-Volt --> 2.78778855420001E-19 Joule (Check conversion here)
Confinement Energy: 9.7 Electron-Volt --> 1.55411201010001E-18 Joule (Check conversion here)
Coulombic Attraction Energy: -2.2E-06 Electron-Volt --> -3.52479012600002E-25 Joule (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_total = E_gap+E_confinement+(E_coulombic) --> 2.78778855420001E-19+1.55411201010001E-18+((-3.52479012600002E-25))

Evaluating ... ...

E_total = 1.832890513041E-18

STEP 3: Convert Result to Output's Unit

1.832890513041E-18 Joule -->11.4399978 Electron-Volt (Check conversion here)

FINAL ANSWER

11.4399978 ≈ 11.44 Electron-Volt <-- Total Energy of a Particle in Quantum Dot

(Calculation completed in 00.004 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)

Total Energy of Particle in Quantum Dot Formula

Total Energy of a Particle in Quantum Dot = Band Gap Energy+Confinement Energy+(Coulombic Attraction Energy)
E_total = E_gap+E_confinement+(E_coulombic)

What is a Quantum Dot?

Quantum dots are theoretically described as a point-like, or zero dimensional (0D) entity. Most of their properties depend on the dimensions, shape, and materials of which QDs are made. Generally, QDs present different thermodynamic properties from their bulk materials.

How to Calculate Total Energy of Particle in Quantum Dot?

Total Energy of Particle in Quantum Dot calculator uses Total Energy of a Particle in Quantum Dot = Band Gap Energy+Confinement Energy+(Coulombic Attraction Energy) to calculate the Total Energy of a Particle in Quantum Dot, Total Energy of Particle in Quantum Dot formula is defined as the sum of Band gap energy, Confinement energy and Coulombic or bound exciton energy. The energy levels of a single particle in a quantum dot can be predicted using the particle in a box model in which the energies of states depend on the length of the box. Total Energy of a Particle in Quantum Dot is denoted by E_total symbol.

How to calculate Total Energy of Particle in Quantum Dot using this online calculator? To use this online calculator for Total Energy of Particle in Quantum Dot, enter Band Gap Energy (E_gap), Confinement Energy (E_confinement) & Coulombic Attraction Energy (E_coulombic) and hit the calculate button. Here is how the Total Energy of Particle in Quantum Dot calculation can be explained with given input values -> 7.1E+19 = 2.78778855420001E-19+1.55411201010001E-18+((-3.52479012600002E-25)).

FAQ

What is Total Energy of Particle in Quantum Dot?

Total Energy of Particle in Quantum Dot formula is defined as the sum of Band gap energy, Confinement energy and Coulombic or bound exciton energy. The energy levels of a single particle in a quantum dot can be predicted using the particle in a box model in which the energies of states depend on the length of the box and is represented as E_total = E_gap+E_confinement+(E_coulombic) or Total Energy of a Particle in Quantum Dot = Band Gap Energy+Confinement Energy+(Coulombic Attraction Energy). The Band Gap Energy is the minimum amount of energy required for an exciton to break free of its bound state, Confinement Energy in the particle in a box model is also used in modeling the exciton. Variance of particle size allows for control of the confinement energy & Coulombic Attraction Energy is the energy which holds together the ionic compounds.

How to calculate Total Energy of Particle in Quantum Dot?

Total Energy of Particle in Quantum Dot formula is defined as the sum of Band gap energy, Confinement energy and Coulombic or bound exciton energy. The energy levels of a single particle in a quantum dot can be predicted using the particle in a box model in which the energies of states depend on the length of the box is calculated using Total Energy of a Particle in Quantum Dot = Band Gap Energy+Confinement Energy+(Coulombic Attraction Energy). To calculate Total Energy of Particle in Quantum Dot, you need Band Gap Energy (E_gap), Confinement Energy (E_confinement) & Coulombic Attraction Energy (E_coulombic). With our tool, you need to enter the respective value for Band Gap Energy, Confinement Energy & Coulombic Attraction Energy 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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