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Coulomb Energy of Charged Particle using Radius of Cluster Formula

GoCoulomb Energy of Charged Particle using Wigner Seitz radius Formula

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The Coulomb Energy of Charged Sphere is the total energy contain by a charged conducting sphere of definite radius. Check FAQs

E coul = \frac{Q^{2}}{2 \cdot R 0}

E_coul - Coulomb Energy of Charged Sphere?Q - Surface Electrons?R₀ - Radius of Cluster?

Coulomb Energy of Charged Particle using Radius of Cluster Example

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Here is how the Coulomb Energy of Charged Particle using Radius of Cluster equation looks like with Values.

Here is how the Coulomb Energy of Charged Particle using Radius of Cluster equation looks like with Units.

Here is how the Coulomb Energy of Charged Particle using Radius of Cluster equation looks like.

5E+9 = \frac{20^{2}}{2 \cdot 40}

5E+9J = \frac{20^{2}}{2 \cdot 40nm}

5E+9 = \frac{20^{2}}{2 \cdot 40}

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Electronic Structure in Clusters and Nanoparticles » fx Coulomb Energy of Charged Particle using Radius of Cluster

Coulomb Energy of Charged Particle using Radius of Cluster Solution

Follow our step by step solution on how to calculate Coulomb Energy of Charged Particle using Radius of Cluster?

FIRST Step Consider the formula

E coul = \frac{Q^{2}}{2 \cdot R 0}

Next Step Substitute values of Variables

∴

E coul = \frac{20^{2}}{2 \cdot 40nm}

Next Step Convert Units

∴

E coul = \frac{20^{2}}{2 \cdot 4E-8m}

Next Step Prepare to Evaluate

∴

E coul = \frac{20^{2}}{2 \cdot 4E-8}

Next Step Evaluate

∴

E coul = 5000000000J

LAST Step Rounding Answer

∴

E coul = 5E+9J

Coulomb Energy of Charged Particle using Radius of Cluster Formula Elements

Variables

Coulomb Energy of Charged Sphere

The Coulomb Energy of Charged Sphere is the total energy contain by a charged conducting sphere of definite radius.

Symbol: E_coul

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Coulomb Energy of Charged Sphere

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.

Symbol: Q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Surface Electrons

Radius of Cluster

The Radius of Cluster is the square root of the average distance from any point of the cluster to its centroid.

Symbol: R₀

Measurement: LengthUnit: nm

Note: Value should be greater than 0.

Formulas to find Radius of Cluster

Other Formulas to find Coulomb Energy of Charged Sphere

Go Coulomb Energy of Charged Particle using Wigner Seitz radius

E coul = (Q^{2}) \cdot \frac{n^{\frac{1}{3}}}{2 \cdot r 0}

Other formulas in Electronic Structure in Clusters and Nanoparticles category

Go Energy per Unit Volume of Cluster

E v = a v \cdot n

Go Radius of Cluster using Wigner Seitz Radius

R 0 = r 0 \cdot (n^{\frac{1}{3}})

Go Energy Deficiency of Plane Surface using Surface Tension

E s = ζ s \cdot 4 \cdot π \cdot ({r 0}^{2}) \cdot (n^{\frac{2}{3}})

Go Energy Deficiency of Plane Surface using Binding Energy Deficiency

E s = a s \cdot (n^{\frac{2}{3}})

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

Coulomb Energy of Charged Particle using Radius of Cluster evaluator uses Coulomb Energy of Charged Sphere = (Surface Electrons^2)/(2*Radius of Cluster) to evaluate 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 evaluate Coulomb Energy of Charged Particle using Radius of Cluster using this online evaluator? To use this online evaluator for Coulomb Energy of Charged Particle using Radius of Cluster, enter Surface Electrons (Q) & Radius of Cluster (R₀) and hit the calculate button.

FAQs on Coulomb Energy of Charged Particle using Radius of Cluster

What is the formula to find Coulomb Energy of Charged Particle using Radius of Cluster?

The formula of Coulomb Energy of Charged Particle using Radius of Cluster is expressed as Coulomb Energy of Charged Sphere = (Surface Electrons^2)/(2*Radius of Cluster). Here is an example- 5E+9 = (20^2)/(2*4E-08).

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

With Surface Electrons (Q) & Radius of Cluster (R₀) we can find Coulomb Energy of Charged Particle using Radius of Cluster using the formula - Coulomb Energy of Charged Sphere = (Surface Electrons^2)/(2*Radius of Cluster).

What are the other ways to Calculate Coulomb Energy of Charged Sphere?

Here are the different ways to Calculate Coulomb Energy of Charged Sphere-

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

Can the Coulomb Energy of Charged Particle using Radius of Cluster be negative?

No, the Coulomb Energy of Charged Particle using Radius of Cluster, measured in Energy cannot be negative.

Which unit is used to measure Coulomb Energy of Charged Particle using Radius of Cluster?

Coulomb Energy of Charged Particle using Radius of Cluster is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Coulomb Energy of Charged Particle using Radius of Cluster can be measured.

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Coulomb Energy of Charged Particle using Radius of Cluster Formula

​GoCoulomb Energy of Charged Particle using Wigner Seitz radius Formula

Coulomb Energy of Charged Particle using Radius of Cluster Example

Coulomb Energy of Charged Particle using Radius of Cluster Solution

Coulomb Energy of Charged Particle using Radius of Cluster Formula Elements

Other Formulas to find Coulomb Energy of Charged Sphere

Other formulas in Electronic Structure in Clusters and Nanoparticles category

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

FAQs on Coulomb Energy of Charged Particle using Radius of Cluster

Variable Name

GoCoulomb Energy of Charged Particle using Wigner Seitz radius Formula