Radius of Spherical Body 1 given 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%
✖Van der Waals force is a general term used to define the attraction of intermolecular forces between molecules.ⓘ Van der Waals force [F_VWaals]			+10% -10%
✖Distance between surfaces is the length of the line segment between the 2 surfaces.ⓘ Distance Between Surfaces [r]			+10% -10%
✖Radius of Spherical Body 2 represented as R1.ⓘ Radius of Spherical Body 2 [R₂]			+10% -10%

✖Radius of Spherical Body 1 represented as R1.ⓘ Radius of Spherical Body 1 given Van der Waals Force between Two Spheres [R₁]

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Formula

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Radius of Spherical Body 1 given Van der Waals Force between Two Spheres

Formula

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

Example

6.6E-8 A = \frac{1}{(\frac{100 J}{110 N \cdot 6 \cdot ({10 A}^{2})}) - (\frac{1}{15 A})}

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Radius of Spherical Body 1 given Van der Waals Force between Two Spheres Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Radius of Spherical Body 1 - (Measured in Meter) - Radius of Spherical Body 1 represented as R1.
Hamaker Coefficient - (Measured in Joule) - Hamaker coefficient A can be defined for a Van der Waals body–body interaction.
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.
Distance Between Surfaces - (Measured in Meter) - Distance between surfaces is the length of the line segment between the 2 surfaces.
Radius of Spherical Body 2 - (Measured in Meter) - Radius of Spherical Body 2 represented as R1.

STEP 1: Convert Input(s) to Base Unit

Hamaker Coefficient: 100 Joule --> 100 Joule No Conversion Required
Van der Waals force: 110 Newton --> 110 Newton No Conversion Required
Distance Between Surfaces: 10 Angstrom --> 1E-09 Meter (Check conversion here)
Radius of Spherical Body 2: 15 Angstrom --> 1.5E-09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R₁ = 1/((A/(F_VWaals*6*(r^2)))-(1/R₂)) --> 1/((100/(110*6*(1E-09^2)))-(1/1.5E-09))

Evaluating ... ...

R₁ = 6.60000002904E-18

STEP 3: Convert Result to Output's Unit

6.60000002904E-18 Meter -->6.60000002904E-08 Angstrom (Check conversion here)

FINAL ANSWER

6.60000002904E-08 ≈ 6.6E-8 Angstrom <-- Radius of Spherical Body 1

(Calculation completed in 00.020 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))

Radius of Spherical Body 1 given Van der Waals Force between Two Spheres Formula

Radius of Spherical Body 1 = 1/((Hamaker Coefficient/(Van der Waals force*6*(Distance Between Surfaces^2)))-(1/Radius of Spherical Body 2))
R₁ = 1/((A/(F_VWaals*6*(r^2)))-(1/R₂))

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 Radius of Spherical Body 1 given Van der Waals Force between Two Spheres?

Radius of Spherical Body 1 given Van der Waals Force between Two Spheres calculator uses Radius of Spherical Body 1 = 1/((Hamaker Coefficient/(Van der Waals force*6*(Distance Between Surfaces^2)))-(1/Radius of Spherical Body 2)) to calculate the Radius of Spherical Body 1, The Radius of spherical body 1 given Van der Waals force between two spheres formula is the radius of spherical body 1 represented as R1. Radius of Spherical Body 1 is denoted by R₁ symbol.

How to calculate Radius of Spherical Body 1 given Van der Waals Force between Two Spheres using this online calculator? To use this online calculator for Radius of Spherical Body 1 given Van der Waals Force between Two Spheres, enter Hamaker Coefficient (A), Van der Waals force (F_VWaals), Distance Between Surfaces (r) & Radius of Spherical Body 2 (R₂) and hit the calculate button. Here is how the Radius of Spherical Body 1 given Van der Waals Force between Two Spheres calculation can be explained with given input values -> 660 = 1/((100/(110*6*(1E-09^2)))-(1/1.5E-09)).

FAQ

What is Radius of Spherical Body 1 given Van der Waals Force between Two Spheres?

The Radius of spherical body 1 given Van der Waals force between two spheres formula is the radius of spherical body 1 represented as R1 and is represented as R₁ = 1/((A/(F_VWaals*6*(r^2)))-(1/R₂)) or Radius of Spherical Body 1 = 1/((Hamaker Coefficient/(Van der Waals force*6*(Distance Between Surfaces^2)))-(1/Radius of Spherical Body 2)). Hamaker coefficient A can be defined for a Van der Waals body–body interaction, Van der Waals force is a general term used to define the attraction of intermolecular forces between molecules, Distance between surfaces is the length of the line segment between the 2 surfaces & Radius of Spherical Body 2 represented as R1.

How to calculate Radius of Spherical Body 1 given Van der Waals Force between Two Spheres?

The Radius of spherical body 1 given Van der Waals force between two spheres formula is the radius of spherical body 1 represented as R1 is calculated using Radius of Spherical Body 1 = 1/((Hamaker Coefficient/(Van der Waals force*6*(Distance Between Surfaces^2)))-(1/Radius of Spherical Body 2)). To calculate Radius of Spherical Body 1 given Van der Waals Force between Two Spheres, you need Hamaker Coefficient (A), Van der Waals force (F_VWaals), Distance Between Surfaces (r) & Radius of Spherical Body 2 (R₂). With our tool, you need to enter the respective value for Hamaker Coefficient, Van der Waals force, Distance Between Surfaces & Radius of Spherical Body 2 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 Radius of Spherical Body 1?

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

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

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