Coulomb Energy of Charged Particle using Radius of Cluster Calculator

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Electronic Structure in Clusters and Nanoparticles

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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%
✖The Radius of Cluster is the square root of the average distance from any point of the cluster to its centroid.ⓘ Radius of Cluster [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 Radius of Cluster [E_coul]

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Formula

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Coulomb Energy of Charged Particle using Radius of Cluster

Formula

`"E"_{"coul"} = ("Q"^2)/(2*"R"_{"0"})`

Example

`"5E^9J"=(("20")^2)/(2*"40nm")`

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Coulomb Energy of Charged Particle using Radius of Cluster Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coulomb Energy of Charged Sphere = (Surface Electrons^2)/(2*Radius of Cluster)
E_coul = (Q^2)/(2*R₀)
This formula uses 3 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.
Radius of Cluster - (Measured in Meter) - The Radius of Cluster is the square root of the average distance from any point of the cluster to its centroid.

STEP 1: Convert Input(s) to Base Unit

Surface Electrons: 20 --> No Conversion Required
Radius of Cluster: 40 Nanometer --> 4E-08 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_coul = (Q^2)/(2*R₀) --> (20^2)/(2*4E-08)

Evaluating ... ...

E_coul = 5000000000

STEP 3: Convert Result to Output's Unit

5000000000 Joule --> No Conversion Required

FINAL ANSWER

5000000000 ≈ 5E+9 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 Radius of Cluster Formula

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

Coulomb Energy of Charged Particle using Radius of Cluster calculator uses Coulomb Energy of Charged Sphere = (Surface Electrons^2)/(2*Radius of Cluster) to calculate the Coulomb Energy of Charged Sphere, The Coulomb Energy of Charged Particle using Radius of Cluster formula is defined as the ratio of square of the number of electrons removed from solid surface to two times of the radius of cluster. Coulomb Energy of Charged Sphere is denoted by E_coul symbol.

How to calculate Coulomb Energy of Charged Particle using Radius of Cluster using this online calculator? To use this online calculator for Coulomb Energy of Charged Particle using Radius of Cluster, enter Surface Electrons (Q) & Radius of Cluster (R₀) and hit the calculate button. Here is how the Coulomb Energy of Charged Particle using Radius of Cluster calculation can be explained with given input values -> 5E+9 = (20^2)/(2*4E-08).

FAQ

What is Coulomb Energy of Charged Particle using Radius of Cluster?

The Coulomb Energy of Charged Particle using Radius of Cluster formula is defined as the ratio of square of the number of electrons removed from solid surface to two times of the radius of cluster and is represented as E_coul = (Q^2)/(2*R₀) or Coulomb Energy of Charged Sphere = (Surface Electrons^2)/(2*Radius of Cluster). The Surface Electrons is the number of electrons present in a solid surface or the number of electrons considered in a particular condition & The Radius of Cluster is the square root of the average distance from any point of the cluster to its centroid.

How to calculate Coulomb Energy of Charged Particle using Radius of Cluster?

The Coulomb Energy of Charged Particle using Radius of Cluster formula is defined as the ratio of square of the number of electrons removed from solid surface to two times of the radius of cluster is calculated using Coulomb Energy of Charged Sphere = (Surface Electrons^2)/(2*Radius of Cluster). To calculate Coulomb Energy of Charged Particle using Radius of Cluster, you need Surface Electrons (Q) & Radius of Cluster (R₀). With our tool, you need to enter the respective value for Surface Electrons & Radius of Cluster 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 & Radius of Cluster. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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