Van der Waals Force between Two Spheres Calculator

✖Hamaker coefficient A can be defined for a Van der Waals body–body interaction.ⓘ Hamaker Coefficient [A]			+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%

✖Van der Waals force is a general term used to define the attraction of intermolecular forces between molecules.ⓘ Van der Waals Force between Two Spheres [F_VWaals]

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Formula

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Van der Waals Force between Two Spheres

Formula

F VWaals = \frac{A \cdot R 1 \cdot R 2}{(R 1 + R 2) \cdot 6 \cdot (r^{2})}

Example

1.1E+10 N = \frac{100 J \cdot 12 A \cdot 15 A}{(12 A + 15 A) \cdot 6 \cdot ({10 A}^{2})}

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Van der Waals Force between Two Spheres Solution

STEP 0: Pre-Calculation Summary

Formula Used

Van der Waals force = (Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*(Distance Between Surfaces^2))
F_VWaals = (A*R₁*R₂)/((R₁+R₂)*6*(r^2))
This formula uses 5 Variables

Variables Used

Van der Waals force - (Measured in Newton) - Van der Waals force is a general term used to define the attraction of intermolecular forces between molecules.
Hamaker Coefficient - (Measured in Joule) - Hamaker coefficient A can be defined for a Van der Waals body–body interaction.
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

Hamaker Coefficient: 100 Joule --> 100 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

F_VWaals = (A*R₁*R₂)/((R₁+R₂)*6*(r^2)) --> (100*1.2E-09*1.5E-09)/((1.2E-09+1.5E-09)*6*(1E-09^2))

Evaluating ... ...

F_VWaals = 11111111111.1111

STEP 3: Convert Result to Output's Unit

11111111111.1111 Newton --> No Conversion Required

FINAL ANSWER

11111111111.1111 ≈ 1.1E+10 Newton <-- Van der Waals force

(Calculation completed in 00.004 seconds)

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< Van der Waals Force Calculators

Van der Waals Interaction Energy between Two Spherical Bodies

Go Van der Waals interaction energy = (-(Hamaker Coefficient/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))))

Potential Energy in Limit of Closest-Approach

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

Distance between Surfaces given Potential Energy in Limit of Close-Approach

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

Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach

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

Van der Waals Force between Two Spheres Formula

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 Van der Waals Force between Two Spheres?

Van der Waals Force between Two Spheres calculator uses Van der Waals force = (Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*(Distance Between Surfaces^2)) to calculate the Van der Waals force, The Van der Waals force between two spheres is a general term used to define the attraction of intermolecular forces between molecules. Van der Waals force is denoted by F_VWaals symbol.

How to calculate Van der Waals Force between Two Spheres using this online calculator? To use this online calculator for Van der Waals Force between Two Spheres, enter Hamaker Coefficient (A), 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 Van der Waals Force between Two Spheres calculation can be explained with given input values -> 1.1E+10 = (100*1.2E-09*1.5E-09)/((1.2E-09+1.5E-09)*6*(1E-09^2)).

FAQ

What is Van der Waals Force between Two Spheres?

The Van der Waals force between two spheres is a general term used to define the attraction of intermolecular forces between molecules and is represented as F_VWaals = (A*R₁*R₂)/((R₁+R₂)*6*(r^2)) or Van der Waals force = (Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*(Distance Between Surfaces^2)). Hamaker coefficient A can be defined for a Van der Waals body–body interaction, 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 Van der Waals Force between Two Spheres?

The Van der Waals force between two spheres is a general term used to define the attraction of intermolecular forces between molecules is calculated using Van der Waals force = (Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*(Distance Between Surfaces^2)). To calculate Van der Waals Force between Two Spheres, you need Hamaker Coefficient (A), 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 Hamaker Coefficient, 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.

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