Energy Deficiency of Plane Surface using Surface Tension Calculator

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Electronic Structure in Clusters and Nanoparticles

Mechanical and Nanomechanical Properties

Optical Properties of Metallic Nanoparticles

Size Effects on Structure and Morphology of Free or Supported Nanoparticles

✖The Surface Tension is the tendency of liquid surfaces at rest to shrink into the minimum surface area possible.ⓘ Surface Tension [ζ_s]			+10% -10%
✖The Wigner Seitz radius is the radius of a sphere whose volume is equal to the mean volume per atom in a solid.ⓘ Wigner Seitz radius [r₀]			+10% -10%
✖Number of Atoms is the amount of total atoms present in a macroscopic boy.ⓘ Number of Atom [n]			+10% -10%

✖The Energy Deficiency of Surface is the product of surface area and surface tension.ⓘ Energy Deficiency of Plane Surface using Surface Tension [E_s]

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Formula

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Energy Deficiency of Plane Surface using Surface Tension

Formula

`"E"_{"s"} = "ζ"_{"s"}*4*pi*("r"_{"0"}^2)*("n"^(2/3))`

Example

`"1.9E^-13J"="5N/m"*4*pi*(("20nm")^2)*(("20")^(2/3))`

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Energy Deficiency of Plane Surface using Surface Tension Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy Deficiency of Surface = Surface Tension*4*pi*(Wigner Seitz radius^2)*(Number of Atom^(2/3))
E_s = ζ_s*4*pi*(r₀^2)*(n^(2/3))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Energy Deficiency of Surface - (Measured in Joule) - The Energy Deficiency of Surface is the product of surface area and surface tension.
Surface Tension - (Measured in Newton per Meter) - The Surface Tension is the tendency of liquid surfaces at rest to shrink into the minimum surface area possible.
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.
Number of Atom - Number of Atoms is the amount of total atoms present in a macroscopic boy.

STEP 1: Convert Input(s) to Base Unit

Surface Tension: 5 Newton per Meter --> 5 Newton per Meter No Conversion Required
Wigner Seitz radius: 20 Nanometer --> 2E-08 Meter (Check conversion here)
Number of Atom: 20 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_s = ζ_s*4*pi*(r₀^2)*(n^(2/3)) --> 5*4*pi*(2E-08^2)*(20^(2/3))

Evaluating ... ...

E_s = 1.85179620667553E-13

STEP 3: Convert Result to Output's Unit

1.85179620667553E-13 Joule --> No Conversion Required

FINAL ANSWER

1.85179620667553E-13 ≈ 1.9E-13 Joule <-- Energy Deficiency of Surface

(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

Energy Deficiency of Plane Surface using Surface Tension Formula

Energy Deficiency of Surface = Surface Tension*4*pi*(Wigner Seitz radius^2)*(Number of Atom^(2/3))
E_s = ζ_s*4*pi*(r₀^2)*(n^(2/3))

What is Surface Tension?

Surface tension is a phenomenon in physics that occurs when the surface of a liquid (such as water) is in contact with another phase (solid, liquid, or gas) that causes the surface of the liquid to act as an elastic sheet.

How to Calculate Energy Deficiency of Plane Surface using Surface Tension?

Energy Deficiency of Plane Surface using Surface Tension calculator uses Energy Deficiency of Surface = Surface Tension*4*pi*(Wigner Seitz radius^2)*(Number of Atom^(2/3)) to calculate the Energy Deficiency of Surface, The Energy Deficiency of Plane Surface using Surface Tension formula is defined as the product of surface area and surface tension. Here the surface area is determined with the term (4*pi*r^2*n^2/3). Energy Deficiency of Surface is denoted by E_s symbol.

How to calculate Energy Deficiency of Plane Surface using Surface Tension using this online calculator? To use this online calculator for Energy Deficiency of Plane Surface using Surface Tension, enter Surface Tension (ζ_s), Wigner Seitz radius (r₀) & Number of Atom (n) and hit the calculate button. Here is how the Energy Deficiency of Plane Surface using Surface Tension calculation can be explained with given input values -> 1.9E-13 = 5*4*pi*(2E-08^2)*(20^(2/3)).

FAQ

What is Energy Deficiency of Plane Surface using Surface Tension?

The Energy Deficiency of Plane Surface using Surface Tension formula is defined as the product of surface area and surface tension. Here the surface area is determined with the term (4*pi*r^2*n^2/3) and is represented as E_s = ζ_s*4*pi*(r₀^2)*(n^(2/3)) or Energy Deficiency of Surface = Surface Tension*4*pi*(Wigner Seitz radius^2)*(Number of Atom^(2/3)). The Surface Tension is the tendency of liquid surfaces at rest to shrink into the minimum surface area possible, The Wigner Seitz radius is the radius of a sphere whose volume is equal to the mean volume per atom in a solid & Number of Atoms is the amount of total atoms present in a macroscopic boy.

How to calculate Energy Deficiency of Plane Surface using Surface Tension?

The Energy Deficiency of Plane Surface using Surface Tension formula is defined as the product of surface area and surface tension. Here the surface area is determined with the term (4*pi*r^2*n^2/3) is calculated using Energy Deficiency of Surface = Surface Tension*4*pi*(Wigner Seitz radius^2)*(Number of Atom^(2/3)). To calculate Energy Deficiency of Plane Surface using Surface Tension, you need Surface Tension (ζ_s), Wigner Seitz radius (r₀) & Number of Atom (n). With our tool, you need to enter the respective value for Surface Tension, Wigner Seitz radius & Number of Atom 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 Energy Deficiency of Surface?

In this formula, Energy Deficiency of Surface uses Surface Tension, Wigner Seitz radius & Number of Atom. We can use 1 other way(s) to calculate the same, which is/are as follows -

Energy Deficiency of Surface = Binding Energy Deficiency of Surface Atom*(Number of Atom^(2/3))

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