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Radius of Cluster using Wigner Seitz Radius Formula

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

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

R₀ - Radius of Cluster?r₀ - Wigner Seitz radius?n - Number of Atom?

Radius of Cluster using Wigner Seitz Radius Example

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Here is how the Radius of Cluster using Wigner Seitz Radius equation looks like with Values.

Here is how the Radius of Cluster using Wigner Seitz Radius equation looks like with Units.

Here is how the Radius of Cluster using Wigner Seitz Radius equation looks like.

54.2884 = 20 \cdot (20^{\frac{1}{3}})

54.2884nm = 20nm \cdot (20^{\frac{1}{3}})

54.2884 = 20 \cdot (20^{\frac{1}{3}})

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Radius of Cluster using Wigner Seitz Radius Solution

Follow our step by step solution on how to calculate Radius of Cluster using Wigner Seitz Radius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R 0 = 20nm \cdot (20^{\frac{1}{3}})

Next Step Convert Units

∴

R 0 = 2E-8m \cdot (20^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

R 0 = 2E-8 \cdot (20^{\frac{1}{3}})

Next Step Evaluate

∴

R 0 = 5.42883523318981E-08m

Next Step Convert to Output's Unit

∴

R 0 = 54.2883523318981nm

LAST Step Rounding Answer

∴

R 0 = 54.2884nm

Radius of Cluster using Wigner Seitz Radius Formula Elements

Variables

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

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

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

Other formulas in Electronic Structure in Clusters and Nanoparticles category

Go Energy per Unit Volume of Cluster

E v = a v \cdot n

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}})

Go Energy Deficiency of Curvature containing Cluster Surface

E c = a c \cdot (n^{\frac{1}{3}})

How to Evaluate Radius of Cluster using Wigner Seitz Radius?

Radius of Cluster using Wigner Seitz Radius evaluator uses Radius of Cluster = Wigner Seitz radius*(Number of Atom^(1/3)) to evaluate the Radius of Cluster, The Radius of Cluster using Wigner Seitz Radius formula is defined as the square root of the average distance from any point of the cluster to its centroid. This can be calculated as the multiplication of Wigner–Seitz radius and cube root of the number of particles present in the cluster. Radius of Cluster is denoted by R₀ symbol.

How to evaluate Radius of Cluster using Wigner Seitz Radius using this online evaluator? To use this online evaluator for Radius of Cluster using Wigner Seitz Radius, enter Wigner Seitz radius (r₀) & Number of Atom (n) and hit the calculate button.

FAQs on Radius of Cluster using Wigner Seitz Radius

What is the formula to find Radius of Cluster using Wigner Seitz Radius?

The formula of Radius of Cluster using Wigner Seitz Radius is expressed as Radius of Cluster = Wigner Seitz radius*(Number of Atom^(1/3)). Here is an example- 5.4E+10 = 2E-08*(20^(1/3)).

How to calculate Radius of Cluster using Wigner Seitz Radius?

With Wigner Seitz radius (r₀) & Number of Atom (n) we can find Radius of Cluster using Wigner Seitz Radius using the formula - Radius of Cluster = Wigner Seitz radius*(Number of Atom^(1/3)).

Can the Radius of Cluster using Wigner Seitz Radius be negative?

No, the Radius of Cluster using Wigner Seitz Radius, measured in Length cannot be negative.

Which unit is used to measure Radius of Cluster using Wigner Seitz Radius?

Radius of Cluster using Wigner Seitz Radius is usually measured using the Nanometer[nm] for Length. Meter[nm], Millimeter[nm], Kilometer[nm] are the few other units in which Radius of Cluster using Wigner Seitz Radius can be measured.

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Radius of Cluster using Wigner Seitz Radius Formula

Radius of Cluster using Wigner Seitz Radius Example

Radius of Cluster using Wigner Seitz Radius Solution

Radius of Cluster using Wigner Seitz Radius Formula Elements

Other formulas in Electronic Structure in Clusters and Nanoparticles category

How to Evaluate Radius of Cluster using Wigner Seitz Radius?

FAQs on Radius of Cluster using Wigner Seitz Radius

Variable Name