Distance between Surfaces 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%
✖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%
✖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%

✖Distance between surfaces is the length of the line segment between the 2 surfaces.ⓘ Distance between Surfaces given Van Der Waals Force between Two Spheres [r]

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Distance between Surfaces given Van Der Waals Force between Two Spheres Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance Between Surfaces = sqrt((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))
r = sqrt((A*R₁*R₂)/((R₁+R₂)*6*PE))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Distance Between Surfaces - (Measured in Meter) - Distance between surfaces is the length of the line segment between the 2 surfaces.
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.
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.

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)
Potential Energy: 4 Joule --> 4 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = sqrt((A*R₁*R₂)/((R₁+R₂)*6*PE)) --> sqrt((100*1.2E-09*1.5E-09)/((1.2E-09+1.5E-09)*6*4))

Evaluating ... ...

r = 5.2704627669473E-05

STEP 3: Convert Result to Output's Unit

5.2704627669473E-05 Meter -->527046.27669473 Angstrom (Check conversion here)

FINAL ANSWER

527046.27669473 ≈ 527046.3 Angstrom <-- Distance Between Surfaces

(Calculation completed in 00.004 seconds)

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< Van der Waals Force Calculators

Van der Waals Interaction Energy between Two Spherical Bodies

LaTeX 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

LaTeX 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

LaTeX 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

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

Distance between Surfaces given Van Der Waals Force between Two Spheres 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 Distance between Surfaces given Van Der Waals Force between Two Spheres?

Distance between Surfaces given Van Der Waals Force between Two Spheres calculator uses Distance Between Surfaces = sqrt((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)) to calculate the Distance Between Surfaces, The Distance between surfaces given Van der Waals force between two spheres is the length of the line segment between the 2 surfaces. Distance Between Surfaces is denoted by r symbol.

How to calculate Distance between Surfaces given Van Der Waals Force between Two Spheres using this online calculator? To use this online calculator for Distance between Surfaces given Van Der Waals Force between Two Spheres, enter Hamaker Coefficient (A), Radius of Spherical Body 1 (R₁), Radius of Spherical Body 2 (R₂) & Potential Energy (PE) and hit the calculate button. Here is how the Distance between Surfaces given Van Der Waals Force between Two Spheres calculation can be explained with given input values -> 5.3E+15 = sqrt((100*1.2E-09*1.5E-09)/((1.2E-09+1.5E-09)*6*4)).

FAQ

What is Distance between Surfaces given Van Der Waals Force between Two Spheres?

The Distance between surfaces given Van der Waals force between two spheres is the length of the line segment between the 2 surfaces and is represented as r = sqrt((A*R₁*R₂)/((R₁+R₂)*6*PE)) or Distance Between Surfaces = sqrt((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)). 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 & Potential Energy is the energy that is stored in an object due to its position relative to some zero position.

How to calculate Distance between Surfaces given Van Der Waals Force between Two Spheres?

The Distance between surfaces given Van der Waals force between two spheres is the length of the line segment between the 2 surfaces is calculated using Distance Between Surfaces = sqrt((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)). To calculate Distance between Surfaces given Van Der Waals Force between Two Spheres, you need Hamaker Coefficient (A), Radius of Spherical Body 1 (R₁), Radius of Spherical Body 2 (R₂) & Potential Energy (PE). With our tool, you need to enter the respective value for Hamaker Coefficient, Radius of Spherical Body 1, Radius of Spherical Body 2 & Potential Energy 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 Distance Between Surfaces?

In this formula, Distance Between Surfaces uses Hamaker Coefficient, Radius of Spherical Body 1, Radius of Spherical Body 2 & Potential Energy. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)
Distance Between Surfaces = Center-to-center Distance-Radius of Spherical Body 1-Radius of Spherical Body 2
Distance Between Surfaces = ((0-Coefficient of Particle–Particle Pair Interaction)/Van der Waals pair potential)^(1/6)

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