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)
Ecoul = (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
Ecoul = (Q^2)*(n^(1/3))/(2*r0) --> (20^2)*(20^(1/3))/(2*2E-08)
Evaluating ... ...
Ecoul = 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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Coulomb Energy of Charged Particle using Wigner Seitz radius Formula

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