Energy of Liquid Drop in Neutral System 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 Energy per Atom is the amount of energy carried by a single atom.ⓘ Energy per Atom [a_v]			+10% -10%
✖Number of Atoms is the amount of total atoms present in a macroscopic boy.ⓘ Number of Atom [n]			+10% -10%
✖The Binding Energy Deficiency of Surface Atom is the deficiency, where binding energy is the smallest amount of energy required to remove a particle from a system of particles.ⓘ Binding Energy Deficiency of Surface Atom [a_s]			+10% -10%
✖The Curvature Coefficient is the positive coefficient of the curvature, proportional to the energy deficiency of the curvature.ⓘ Curvature Coefficient [a_c]			+10% -10%

✖The Energy of Liquid Drop is the sum total of the energies of per unit volume of a cluster, plane surface and curvature of cluster surface.ⓘ Energy of Liquid Drop in Neutral System [E_n,0]

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Formula

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Energy of Liquid Drop in Neutral System

Formula

`"E"_{"n,0"} = "a"_{"v"}*"n"+"a"_{"s"}*("n"^(2/3))+"a"_{"c"}*("n"^(1/3))`

Example

`"1063.984J"="50J"*"20"+"5J"*(("20")^(2/3))+"10J"*(("20")^(1/3))`

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Energy of Liquid Drop in Neutral System Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
E_n,0 = a_v*n+a_s*(n^(2/3))+a_c*(n^(1/3))
This formula uses 5 Variables

Variables Used

Energy of Liquid Drop - (Measured in Joule) - The Energy of Liquid Drop is the sum total of the energies of per unit volume of a cluster, plane surface and curvature of cluster surface.
Energy per Atom - (Measured in Joule) - The Energy per Atom is the amount of energy carried by a single atom.
Number of Atom - Number of Atoms is the amount of total atoms present in a macroscopic boy.
Binding Energy Deficiency of Surface Atom - (Measured in Joule) - The Binding Energy Deficiency of Surface Atom is the deficiency, where binding energy is the smallest amount of energy required to remove a particle from a system of particles.
Curvature Coefficient - (Measured in Joule) - The Curvature Coefficient is the positive coefficient of the curvature, proportional to the energy deficiency of the curvature.

STEP 1: Convert Input(s) to Base Unit

Energy per Atom: 50 Joule --> 50 Joule No Conversion Required
Number of Atom: 20 --> No Conversion Required
Binding Energy Deficiency of Surface Atom: 5 Joule --> 5 Joule No Conversion Required
Curvature Coefficient: 10 Joule --> 10 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_n,0 = a_v*n+a_s*(n^(2/3))+a_c*(n^(1/3)) --> 50*20+5*(20^(2/3))+10*(20^(1/3))

Evaluating ... ...

E_n,0 = 1063.98449115235

STEP 3: Convert Result to Output's Unit

1063.98449115235 Joule --> No Conversion Required

FINAL ANSWER

1063.98449115235 ≈ 1063.984 Joule <-- Energy of Liquid Drop

(Calculation completed in 00.020 seconds)

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Home » Chemistry » Nanomaterials and Nanochemistry » Electronic Structure in Clusters and Nanoparticles » Energy of Liquid Drop in Neutral System

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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 of Liquid Drop in Neutral System Formula

What is Bond-dissociation energy?

Bond dissociation energy is the amount of energy required to break a chemical bond and form two atomic or molecular fragments, each with one electron of the original shared pair.

How to Calculate Energy of Liquid Drop in Neutral System?

Energy of Liquid Drop in Neutral System calculator uses 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)) to calculate the Energy of Liquid Drop, The Energy of Liquid Drop in Neutral System formula is defined as the sum total of the energies of per unit volume of a cluster, plane surface and curvature of cluster surface. Energy of Liquid Drop is denoted by E_n,0 symbol.

How to calculate Energy of Liquid Drop in Neutral System using this online calculator? To use this online calculator for Energy of Liquid Drop in Neutral System, enter Energy per Atom (a_v), Number of Atom (n), Binding Energy Deficiency of Surface Atom (a_s) & Curvature Coefficient (a_c) and hit the calculate button. Here is how the Energy of Liquid Drop in Neutral System calculation can be explained with given input values -> 1063.984 = 50*20+5*(20^(2/3))+10*(20^(1/3)).

FAQ

What is Energy of Liquid Drop in Neutral System?

The Energy of Liquid Drop in Neutral System formula is defined as the sum total of the energies of per unit volume of a cluster, plane surface and curvature of cluster surface and is represented as E_n,0 = a_v*n+a_s*(n^(2/3))+a_c*(n^(1/3)) or 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)). The Energy per Atom is the amount of energy carried by a single atom, Number of Atoms is the amount of total atoms present in a macroscopic boy, The Binding Energy Deficiency of Surface Atom is the deficiency, where binding energy is the smallest amount of energy required to remove a particle from a system of particles & The Curvature Coefficient is the positive coefficient of the curvature, proportional to the energy deficiency of the curvature.

How to calculate Energy of Liquid Drop in Neutral System?

The Energy of Liquid Drop in Neutral System formula is defined as the sum total of the energies of per unit volume of a cluster, plane surface and curvature of cluster surface is calculated using 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)). To calculate Energy of Liquid Drop in Neutral System, you need Energy per Atom (a_v), Number of Atom (n), Binding Energy Deficiency of Surface Atom (a_s) & Curvature Coefficient (a_c). With our tool, you need to enter the respective value for Energy per Atom, Number of Atom, Binding Energy Deficiency of Surface Atom & Curvature Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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