Coulombic Attraction Energy Calculator

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✖Dielectric Constant of Bulk Material is the permittivity of Bulk Material expressed as a ratio with the electric permittivity of a vacuum.ⓘ Dielectric Constant of Bulk Material [ε_r]			+10% -10%
✖Radius of Quantum Dot is the distance from the center to any point on the boundary of Quantum dots.ⓘ Radius of Quantum Dot [a]			+10% -10%

✖Coulombic Attraction Energy is the energy which holds together the ionic compounds.ⓘ Coulombic Attraction Energy [E_coulombic]

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Formula

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Coulombic Attraction Energy

Formula

`"E"_{"coulombic"} = -(1.8*("[Charge-e]"^2))/(2*pi*"[Permeability-vacuum]"*"ε"_{"r"}*"a")`

Example

`"-2.2E^-6eV"=-(1.8*("[Charge-e]"^2))/(2*pi*"[Permeability-vacuum]"*"5.6"*"3nm")`

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Coulombic Attraction Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coulombic Attraction Energy = -(1.8*([Charge-e]^2))/(2*pi*[Permeability-vacuum]*Dielectric Constant of Bulk Material*Radius of Quantum Dot)
E_coulombic = -(1.8*([Charge-e]^2))/(2*pi*[Permeability-vacuum]*ε_r*a)
This formula uses 3 Constants, 3 Variables

Constants Used

[Permeability-vacuum] - Permeability of vacuum Value Taken As 1.2566E-6
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Coulombic Attraction Energy - (Measured in Joule) - Coulombic Attraction Energy is the energy which holds together the ionic compounds.
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.
Radius of Quantum Dot - (Measured in Meter) - Radius of Quantum Dot is the distance from the center to any point on the boundary of Quantum dots.

STEP 1: Convert Input(s) to Base Unit

Dielectric Constant of Bulk Material: 5.6 --> No Conversion Required
Radius of Quantum Dot: 3 Nanometer --> 3E-09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_coulombic = -(1.8*([Charge-e]^2))/(2*pi*[Permeability-vacuum]*ε_r*a) --> -(1.8*([Charge-e]^2))/(2*pi*[Permeability-vacuum]*5.6*3E-09)

Evaluating ... ...

E_coulombic = -3.48332719872793E-25

STEP 3: Convert Result to Output's Unit

-3.48332719872793E-25 Joule -->-2.17412088755988E-06 Electron-Volt (Check conversion here)

FINAL ANSWER

-2.17412088755988E-06 ≈ -2.2E-6 Electron-Volt <-- Coulombic Attraction Energy

(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)

Coulombic Attraction Energy Formula

What is the role of coulomb attraction?

There is Coulomb attraction between the negatively charged electron and the positively charged hole. The negative energy involved in the attraction is proportional to Rydberg's energy and inversely proportional to square of the size-dependent dielectric constant of the semiconductor. When the size of the semiconductor crystal is smaller than the exciton Bohr radius, the Coulomb interaction must be modified to fit the situation.

How to Calculate Coulombic Attraction Energy?

Coulombic Attraction Energy calculator uses Coulombic Attraction Energy = -(1.8*([Charge-e]^2))/(2*pi*[Permeability-vacuum]*Dielectric Constant of Bulk Material*Radius of Quantum Dot) to calculate the Coulombic Attraction Energy, The Coulombic Attraction Energy formula is defined as the energy that is produced as a result of the Coulombic attraction between the hole and the electron in an exciton. Coulombic Attraction Energy is denoted by E_coulombic symbol.

How to calculate Coulombic Attraction Energy using this online calculator? To use this online calculator for Coulombic Attraction Energy, enter Dielectric Constant of Bulk Material (ε_r) & Radius of Quantum Dot (a) and hit the calculate button. Here is how the Coulombic Attraction Energy calculation can be explained with given input values -> -13569789353840.5 = -(1.8*([Charge-e]^2))/(2*pi*[Permeability-vacuum]*5.6*3E-09).

FAQ

What is Coulombic Attraction Energy?

The Coulombic Attraction Energy formula is defined as the energy that is produced as a result of the Coulombic attraction between the hole and the electron in an exciton and is represented as E_coulombic = -(1.8*([Charge-e]^2))/(2*pi*[Permeability-vacuum]*ε_r*a) or Coulombic Attraction Energy = -(1.8*([Charge-e]^2))/(2*pi*[Permeability-vacuum]*Dielectric Constant of Bulk Material*Radius of Quantum Dot). Dielectric Constant of Bulk Material is the permittivity of Bulk Material expressed as a ratio with the electric permittivity of a vacuum & Radius of Quantum Dot is the distance from the center to any point on the boundary of Quantum dots.

How to calculate Coulombic Attraction Energy?

The Coulombic Attraction Energy formula is defined as the energy that is produced as a result of the Coulombic attraction between the hole and the electron in an exciton is calculated using Coulombic Attraction Energy = -(1.8*([Charge-e]^2))/(2*pi*[Permeability-vacuum]*Dielectric Constant of Bulk Material*Radius of Quantum Dot). To calculate Coulombic Attraction Energy, you need Dielectric Constant of Bulk Material (ε_r) & Radius of Quantum Dot (a). With our tool, you need to enter the respective value for Dielectric Constant of Bulk Material & Radius of Quantum Dot 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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