Hamaker Coefficient using Potential Energy in Limit of Closest-Approach Calculator

✖Potential Energy is the energy that is stored in an object due to its position relative to some zero position.ⓘ Potential Energy [PE]			+10% -10%
✖Radius of Spherical Body 1 represented as R1.ⓘ Radius of Spherical Body 1 [R₁]			+10% -10%
✖Radius of Spherical Body 2 represented as R1.ⓘ Radius of Spherical Body 2 [R₂]			+10% -10%
✖Distance between surfaces is the length of the line segment between the 2 surfaces.ⓘ Distance Between Surfaces [r]			+10% -10%

✖Hamaker coefficient A can be defined for a Van der Waals body–body interaction.ⓘ Hamaker Coefficient using Potential Energy in Limit of Closest-Approach [A]

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Hamaker Coefficient using Potential Energy in Limit of Closest-Approach Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hamaker Coefficient = (-Potential Energy*(Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Distance Between Surfaces)/(Radius of Spherical Body 1*Radius of Spherical Body 2)
A = (-PE*(R₁+R₂)*6*r)/(R₁*R₂)
This formula uses 5 Variables

Variables Used

Hamaker Coefficient - (Measured in Joule) - Hamaker coefficient A can be defined for a Van der Waals body–body interaction.
Potential Energy - (Measured in Joule) - Potential Energy is the energy that is stored in an object due to its position relative to some zero position.
Radius of Spherical Body 1 - (Measured in Meter) - Radius of Spherical Body 1 represented as R1.
Radius of Spherical Body 2 - (Measured in Meter) - Radius of Spherical Body 2 represented as R1.
Distance Between Surfaces - (Measured in Meter) - Distance between surfaces is the length of the line segment between the 2 surfaces.

STEP 1: Convert Input(s) to Base Unit

Potential Energy: 4 Joule --> 4 Joule No Conversion Required
Radius of Spherical Body 1: 12 Angstrom --> 1.2E-09 Meter (Check conversion here)
Radius of Spherical Body 2: 15 Angstrom --> 1.5E-09 Meter (Check conversion here)
Distance Between Surfaces: 10 Angstrom --> 1E-09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (-PE*(R₁+R₂)*6*r)/(R₁*R₂) --> (-4*(1.2E-09+1.5E-09)*6*1E-09)/(1.2E-09*1.5E-09)

Evaluating ... ...

A = -36

STEP 3: Convert Result to Output's Unit

-36 Joule --> No Conversion Required

FINAL ANSWER

-36 Joule <-- Hamaker Coefficient

(Calculation completed in 00.020 seconds)

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< Hamaker Coefficient Calculators

Hamaker Coefficient using Van der Waals Interaction Energy

LaTeX Go Hamaker Coefficient = (-Van der Waals interaction energy*6)/(((2*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Center-to-center Distance^2)-((Radius of Spherical Body 1+Radius of Spherical Body 2)^2)))+((2*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Center-to-center Distance^2)-((Radius of Spherical Body 1-Radius of Spherical Body 2)^2)))+ln(((Center-to-center Distance^2)-((Radius of Spherical Body 1+Radius of Spherical Body 2)^2))/((Center-to-center Distance^2)-((Radius of Spherical Body 1-Radius of Spherical Body 2)^2))))

Hamaker Coefficient using Van der Waals Forces between Objects

LaTeX Go Hamaker Coefficient = (-Van der Waals force*(Radius of Spherical Body 1+Radius of Spherical Body 2)*6*(Distance Between Surfaces^2))/(Radius of Spherical Body 1*Radius of Spherical Body 2)

Hamaker Coefficient using Potential Energy in Limit of Closest-Approach

LaTeX Go Hamaker Coefficient = (-Potential Energy*(Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Distance Between Surfaces)/(Radius of Spherical Body 1*Radius of Spherical Body 2)

Hamaker Coefficient

LaTeX Go Hamaker Coefficient A = (pi^2)*Coefficient of Particle–Particle Pair Interaction*Number Density of particle 1*Number Density of particle 2

Hamaker Coefficient using Potential Energy in Limit of Closest-Approach Formula

LaTeX Go

What are main characteristics of Van der Waals forces?

1) They are weaker than normal covalent and ionic bonds.
2) Van der Waals forces are additive and cannot be saturated.
3) They have no directional characteristic.
4) They are all short-range forces and hence only interactions between the nearest particles need to be considered (instead of all the particles). Van der Waals attraction is greater if the molecules are closer.
5) Van der Waals forces are independent of temperature except for dipole – dipole interactions.

How to Calculate Hamaker Coefficient using Potential Energy in Limit of Closest-Approach?

Hamaker Coefficient using Potential Energy in Limit of Closest-Approach calculator uses Hamaker Coefficient = (-Potential Energy*(Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Distance Between Surfaces)/(Radius of Spherical Body 1*Radius of Spherical Body 2) to calculate the Hamaker Coefficient, The Hamaker coefficient using Potential Energy in limit of closest-approach formula A can be defined for a Van der Waals body–body interaction. Hamaker Coefficient is denoted by A symbol.

How to calculate Hamaker Coefficient using Potential Energy in Limit of Closest-Approach using this online calculator? To use this online calculator for Hamaker Coefficient using Potential Energy in Limit of Closest-Approach, enter Potential Energy (PE), Radius of Spherical Body 1 (R₁), Radius of Spherical Body 2 (R₂) & Distance Between Surfaces (r) and hit the calculate button. Here is how the Hamaker Coefficient using Potential Energy in Limit of Closest-Approach calculation can be explained with given input values -> -36 = (-4*(1.2E-09+1.5E-09)*6*1E-09)/(1.2E-09*1.5E-09).

FAQ

What is Hamaker Coefficient using Potential Energy in Limit of Closest-Approach?

The Hamaker coefficient using Potential Energy in limit of closest-approach formula A can be defined for a Van der Waals body–body interaction and is represented as A = (-PE*(R₁+R₂)*6*r)/(R₁*R₂) or Hamaker Coefficient = (-Potential Energy*(Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Distance Between Surfaces)/(Radius of Spherical Body 1*Radius of Spherical Body 2). Potential Energy is the energy that is stored in an object due to its position relative to some zero position, Radius of Spherical Body 1 represented as R1, Radius of Spherical Body 2 represented as R1 & Distance between surfaces is the length of the line segment between the 2 surfaces.

How to calculate Hamaker Coefficient using Potential Energy in Limit of Closest-Approach?

The Hamaker coefficient using Potential Energy in limit of closest-approach formula A can be defined for a Van der Waals body–body interaction is calculated using Hamaker Coefficient = (-Potential Energy*(Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Distance Between Surfaces)/(Radius of Spherical Body 1*Radius of Spherical Body 2). To calculate Hamaker Coefficient using Potential Energy in Limit of Closest-Approach, you need Potential Energy (PE), Radius of Spherical Body 1 (R₁), Radius of Spherical Body 2 (R₂) & Distance Between Surfaces (r). With our tool, you need to enter the respective value for Potential Energy, Radius of Spherical Body 1, Radius of Spherical Body 2 & Distance Between Surfaces 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 Hamaker Coefficient?

In this formula, Hamaker Coefficient uses Potential Energy, Radius of Spherical Body 1, Radius of Spherical Body 2 & Distance Between Surfaces. We can use 2 other way(s) to calculate the same, which is/are as follows -

Hamaker Coefficient = (-Van der Waals force*(Radius of Spherical Body 1+Radius of Spherical Body 2)*6*(Distance Between Surfaces^2))/(Radius of Spherical Body 1*Radius of Spherical Body 2)
Hamaker Coefficient = (-Van der Waals interaction energy*6)/(((2*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Center-to-center Distance^2)-((Radius of Spherical Body 1+Radius of Spherical Body 2)^2)))+((2*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Center-to-center Distance^2)-((Radius of Spherical Body 1-Radius of Spherical Body 2)^2)))+ln(((Center-to-center Distance^2)-((Radius of Spherical Body 1+Radius of Spherical Body 2)^2))/((Center-to-center Distance^2)-((Radius of Spherical Body 1-Radius of Spherical Body 2)^2))))

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