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Coulomb Energy of Charged Particle using Wigner Seitz radius Formula

GoCoulomb Energy of Charged Particle using Radius of Cluster 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 = (Q^{2}) \cdot \frac{n^{\frac{1}{3}}}{2 \cdot r 0}

E_coul - Coulomb Energy of Charged Sphere?Q - Surface Electrons?n - Number of Atom?r₀ - Wigner Seitz radius?

Coulomb Energy of Charged Particle using Wigner Seitz radius Example

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Here is how the Coulomb Energy of Charged Particle using Wigner Seitz radius equation looks like with Values.

Here is how the Coulomb Energy of Charged Particle using Wigner Seitz radius equation looks like with Units.

Here is how the Coulomb Energy of Charged Particle using Wigner Seitz radius equation looks like.

2.7E+10 = (20^{2}) \cdot \frac{20^{\frac{1}{3}}}{2 \cdot 20}

2.7E+10J = (20^{2}) \cdot \frac{20^{\frac{1}{3}}}{2 \cdot 20nm}

2.7E+10 = (20^{2}) \cdot \frac{20^{\frac{1}{3}}}{2 \cdot 20}

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Electronic Structure in Clusters and Nanoparticles » fx Coulomb Energy of Charged Particle using Wigner Seitz radius

Coulomb Energy of Charged Particle using Wigner Seitz radius Solution

Follow our step by step solution on how to calculate Coulomb Energy of Charged Particle using Wigner Seitz radius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E coul = (20^{2}) \cdot \frac{20^{\frac{1}{3}}}{2 \cdot 20nm}

Next Step Convert Units

∴

E coul = (20^{2}) \cdot \frac{20^{\frac{1}{3}}}{2 \cdot 2E-8m}

Next Step Prepare to Evaluate

∴

E coul = (20^{2}) \cdot \frac{20^{\frac{1}{3}}}{2 \cdot 2E-8}

Next Step Evaluate

∴

E coul = 27144176165.9491J

LAST Step Rounding Answer

∴

E coul = 2.7E+10J

Coulomb Energy of Charged Particle using Wigner Seitz radius 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

Number of Atom

Number of Atoms is the amount of total atoms present in a macroscopic boy.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Atom

Wigner Seitz radius

The Wigner Seitz radius is the radius of a sphere whose volume is equal to the mean volume per atom in a solid.

Symbol: r₀

Measurement: LengthUnit: nm

Note: Value should be greater than 0.

Formulas to find Wigner Seitz radius

Other Formulas to find Coulomb Energy of Charged Sphere

Go Coulomb Energy of Charged Particle using Radius of Cluster

E coul = \frac{Q^{2}}{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 Wigner Seitz radius?

Coulomb Energy of Charged Particle using Wigner Seitz radius evaluator uses Coulomb Energy of Charged Sphere = (Surface Electrons^2)*(Number of Atom^(1/3))/(2*Wigner Seitz radius) to evaluate 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 evaluate Coulomb Energy of Charged Particle using Wigner Seitz radius using this online evaluator? To use this online evaluator 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.

FAQs on Coulomb Energy of Charged Particle using Wigner Seitz radius

What is the formula to find Coulomb Energy of Charged Particle using Wigner Seitz radius?

The formula of Coulomb Energy of Charged Particle using Wigner Seitz radius is expressed as Coulomb Energy of Charged Sphere = (Surface Electrons^2)*(Number of Atom^(1/3))/(2*Wigner Seitz radius). Here is an example- 2.7E+10 = (20^2)*(20^(1/3))/(2*2E-08).

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

With Surface Electrons (Q), Number of Atom (n) & Wigner Seitz radius (r₀) we can find Coulomb Energy of Charged Particle using Wigner Seitz radius using the formula - Coulomb Energy of Charged Sphere = (Surface Electrons^2)*(Number of Atom^(1/3))/(2*Wigner Seitz radius).

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)/(2*Radius of Cluster)

Can the Coulomb Energy of Charged Particle using Wigner Seitz radius be negative?

No, the Coulomb Energy of Charged Particle using Wigner Seitz radius, measured in Energy cannot be negative.

Which unit is used to measure Coulomb Energy of Charged Particle using Wigner Seitz radius?

Coulomb Energy of Charged Particle using Wigner Seitz radius 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 Wigner Seitz radius can be measured.

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Coulomb Energy of Charged Particle using Wigner Seitz radius Formula

​GoCoulomb Energy of Charged Particle using Radius of Cluster Formula

Coulomb Energy of Charged Particle using Wigner Seitz radius Example

Coulomb Energy of Charged Particle using Wigner Seitz radius Solution

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

FAQs on Coulomb Energy of Charged Particle using Wigner Seitz radius

Variable Name

GoCoulomb Energy of Charged Particle using Radius of Cluster Formula