Coulomb Energy of Charged Particle using Wigner Seitz radius Calculator

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Electronic Structure in Clusters and Nanoparticles

Mechanical and Nanomechanical Properties

Optical Properties of Metallic Nanoparticles

Size Effects on Structure and Morphology of Free or Supported Nanoparticles

✖The Surface Electrons is the number of electrons present in a solid surface or the number of electrons considered in a particular condition.ⓘ Surface Electrons [Q]			+10% -10%
✖Number of Atoms is the amount of total atoms present in a macroscopic boy.ⓘ Number of Atom [n]			+10% -10%
✖The Wigner Seitz radius is the radius of a sphere whose volume is equal to the mean volume per atom in a solid.ⓘ Wigner Seitz radius [r₀]			+10% -10%

✖The Coulomb Energy of Charged Sphere is the total energy contain by a charged conducting sphere of definite radius.ⓘ Coulomb Energy of Charged Particle using Wigner Seitz radius [E_coul]

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Formula

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Coulomb Energy of Charged Particle using Wigner Seitz radius

Formula

`"E"_{"coul"} = ("Q"^2)*("n"^(1/3))/(2*"r"_{"0"})`

Example

`"2.7E^10J"=(("20")^2)*(("20")^(1/3))/(2*"20nm")`

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Coulomb Energy of Charged Particle using Wigner Seitz radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coulomb Energy of Charged Sphere = (Surface Electrons^2)*(Number of Atom^(1/3))/(2*Wigner Seitz radius)
E_coul = (Q^2)*(n^(1/3))/(2*r₀)
This formula uses 4 Variables

Variables Used

Coulomb Energy of Charged Sphere - (Measured in Joule) - The Coulomb Energy of Charged Sphere is the total energy contain by a charged conducting sphere of definite radius.
Surface Electrons - The Surface Electrons is the number of electrons present in a solid surface or the number of electrons considered in a particular condition.
Number of Atom - Number of Atoms is the amount of total atoms present in a macroscopic boy.
Wigner Seitz radius - (Measured in Meter) - The Wigner Seitz radius is the radius of a sphere whose volume is equal to the mean volume per atom in a solid.

STEP 1: Convert Input(s) to Base Unit

Surface Electrons: 20 --> No Conversion Required
Number of Atom: 20 --> No Conversion Required
Wigner Seitz radius: 20 Nanometer --> 2E-08 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_coul = (Q^2)*(n^(1/3))/(2*r₀) --> (20^2)*(20^(1/3))/(2*2E-08)

Evaluating ... ...

E_coul = 27144176165.9491

STEP 3: Convert Result to Output's Unit

27144176165.9491 Joule --> No Conversion Required

FINAL ANSWER

27144176165.9491 ≈ 2.7E+10 Joule <-- Coulomb Energy of Charged Sphere

(Calculation completed in 00.004 seconds)

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< 8 Electronic Structure in Clusters and Nanoparticles Calculators

Energy of Liquid Drop in Neutral System

Go Energy of Liquid Drop = Energy per Atom*Number of Atom+Binding Energy Deficiency of Surface Atom*(Number of Atom^(2/3))+Curvature Coefficient*(Number of Atom^(1/3))

Energy Deficiency of Plane Surface using Surface Tension

Go Energy Deficiency of Surface = Surface Tension*4*pi*(Wigner Seitz radius^2)*(Number of Atom^(2/3))

Coulomb Energy of Charged Particle using Wigner Seitz radius

Go Coulomb Energy of Charged Sphere = (Surface Electrons^2)*(Number of Atom^(1/3))/(2*Wigner Seitz radius)

Energy Deficiency of Plane Surface using Binding Energy Deficiency

Go Energy Deficiency of Surface = Binding Energy Deficiency of Surface Atom*(Number of Atom^(2/3))

Coulomb Energy of Charged Particle using Radius of Cluster

Go Coulomb Energy of Charged Sphere = (Surface Electrons^2)/(2*Radius of Cluster)

Energy Deficiency of Curvature containing Cluster Surface

Go Energy Deficiency of Curvature = Curvature Coefficient*(Number of Atom^(1/3))

Radius of Cluster using Wigner Seitz Radius

Go Radius of Cluster = Wigner Seitz radius*(Number of Atom^(1/3))

Energy per Unit Volume of Cluster

Go Energy per Unit Volume = Energy per Atom*Number of Atom

Coulomb Energy of Charged Particle using Wigner Seitz radius Formula

Coulomb Energy of Charged Sphere = (Surface Electrons^2)*(Number of Atom^(1/3))/(2*Wigner Seitz radius)
E_coul = (Q^2)*(n^(1/3))/(2*r₀)

WHAT IS COULOMBIC FORCE?

Coulombic force, also known as electrostatic force, is the force of attraction or repulsion between two like or unlike charges, separated by some distance.

How to Calculate Coulomb Energy of Charged Particle using Wigner Seitz radius?

Coulomb Energy of Charged Particle using Wigner Seitz radius calculator uses Coulomb Energy of Charged Sphere = (Surface Electrons^2)*(Number of Atom^(1/3))/(2*Wigner Seitz radius) to calculate the Coulomb Energy of Charged Sphere, The Coulomb Energy of Charged Particle using Wigner Seitz radius formula is defined as the product of square of the number of electrons removed from the surface and the number of atoms to the power of (1/3), divided by two times of the Wigner Seitz radius. Coulomb Energy of Charged Sphere is denoted by E_coul symbol.

How to calculate Coulomb Energy of Charged Particle using Wigner Seitz radius using this online calculator? To use this online calculator for Coulomb Energy of Charged Particle using Wigner Seitz radius, enter Surface Electrons (Q), Number of Atom (n) & Wigner Seitz radius (r₀) and hit the calculate button. Here is how the Coulomb Energy of Charged Particle using Wigner Seitz radius calculation can be explained with given input values -> 2.7E+10 = (20^2)*(20^(1/3))/(2*2E-08).

FAQ

What is Coulomb Energy of Charged Particle using Wigner Seitz radius?

The Coulomb Energy of Charged Particle using Wigner Seitz radius formula is defined as the product of square of the number of electrons removed from the surface and the number of atoms to the power of (1/3), divided by two times of the Wigner Seitz radius and is represented as E_coul = (Q^2)*(n^(1/3))/(2*r₀) or Coulomb Energy of Charged Sphere = (Surface Electrons^2)*(Number of Atom^(1/3))/(2*Wigner Seitz radius). The Surface Electrons is the number of electrons present in a solid surface or the number of electrons considered in a particular condition, Number of Atoms is the amount of total atoms present in a macroscopic boy & The Wigner Seitz radius is the radius of a sphere whose volume is equal to the mean volume per atom in a solid.

How to calculate Coulomb Energy of Charged Particle using Wigner Seitz radius?

The Coulomb Energy of Charged Particle using Wigner Seitz radius formula is defined as the product of square of the number of electrons removed from the surface and the number of atoms to the power of (1/3), divided by two times of the Wigner Seitz radius is calculated using Coulomb Energy of Charged Sphere = (Surface Electrons^2)*(Number of Atom^(1/3))/(2*Wigner Seitz radius). To calculate Coulomb Energy of Charged Particle using Wigner Seitz radius, you need Surface Electrons (Q), Number of Atom (n) & Wigner Seitz radius (r₀). With our tool, you need to enter the respective value for Surface Electrons, Number of Atom & Wigner Seitz radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Coulomb Energy of Charged Sphere?

In this formula, Coulomb Energy of Charged Sphere uses Surface Electrons, Number of Atom & Wigner Seitz radius. We can use 1 other way(s) to calculate the same, which is/are as follows -

Coulomb Energy of Charged Sphere = (Surface Electrons^2)/(2*Radius of Cluster)

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