Distance between Surfaces given Van Der Waals Pair Potential Calculator

✖Coefficient of particle–particle pair interaction can be determined from the Van der Waals pair potential.ⓘ Coefficient of Particle–Particle Pair Interaction [C]			+10% -10%
✖Van der Waals pair potential are driven by induced electrical interactions between two or more atoms or molecules that are very close to each other.ⓘ Van der Waals pair potential [ω_r]			+10% -10%

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

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Distance between Surfaces given Van Der Waals Pair Potential Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance Between Surfaces = ((0-Coefficient of Particle–Particle Pair Interaction)/Van der Waals pair potential)^(1/6)
r = ((0-C)/ω_r)^(1/6)
This formula uses 3 Variables

Variables Used

Distance Between Surfaces - (Measured in Meter) - Distance between surfaces is the length of the line segment between the 2 surfaces.
Coefficient of Particle–Particle Pair Interaction - Coefficient of particle–particle pair interaction can be determined from the Van der Waals pair potential.
Van der Waals pair potential - (Measured in Joule) - Van der Waals pair potential are driven by induced electrical interactions between two or more atoms or molecules that are very close to each other.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Particle–Particle Pair Interaction: 8 --> No Conversion Required
Van der Waals pair potential: -500 Joule --> -500 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = ((0-C)/ω_r)^(1/6) --> ((0-8)/(-500))^(1/6)

Evaluating ... ...

r = 0.501980288436682

STEP 3: Convert Result to Output's Unit

0.501980288436682 Meter -->5019802884.36682 Angstrom (Check conversion here)

FINAL ANSWER

5019802884.36682 ≈ 5E+9 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 Pair Potential Formula

LaTeX Go

Distance Between Surfaces = ((0-Coefficient of Particle–Particle Pair Interaction)/Van der Waals pair potential)^(1/6)
r = ((0-C)/ω_r)^(1/6)

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 Pair Potential?

Distance between Surfaces given Van Der Waals Pair Potential calculator uses Distance Between Surfaces = ((0-Coefficient of Particle–Particle Pair Interaction)/Van der Waals pair potential)^(1/6) to calculate the Distance Between Surfaces, The Distance between surfaces given Van der Waals pair potential 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 Pair Potential using this online calculator? To use this online calculator for Distance between Surfaces given Van Der Waals Pair Potential, enter Coefficient of Particle–Particle Pair Interaction (C) & Van der Waals pair potential (ω_r) and hit the calculate button. Here is how the Distance between Surfaces given Van Der Waals Pair Potential calculation can be explained with given input values -> 5E+19 = ((0-8)/(-500))^(1/6).

FAQ

What is Distance between Surfaces given Van Der Waals Pair Potential?

The Distance between surfaces given Van der Waals pair potential is the length of the line segment between the 2 surfaces and is represented as r = ((0-C)/ω_r)^(1/6) or Distance Between Surfaces = ((0-Coefficient of Particle–Particle Pair Interaction)/Van der Waals pair potential)^(1/6). Coefficient of particle–particle pair interaction can be determined from the Van der Waals pair potential & Van der Waals pair potential are driven by induced electrical interactions between two or more atoms or molecules that are very close to each other.

How to calculate Distance between Surfaces given Van Der Waals Pair Potential?

The Distance between surfaces given Van der Waals pair potential is the length of the line segment between the 2 surfaces is calculated using Distance Between Surfaces = ((0-Coefficient of Particle–Particle Pair Interaction)/Van der Waals pair potential)^(1/6). To calculate Distance between Surfaces given Van Der Waals Pair Potential, you need Coefficient of Particle–Particle Pair Interaction (C) & Van der Waals pair potential (ω_r). With our tool, you need to enter the respective value for Coefficient of Particle–Particle Pair Interaction & Van der Waals pair potential 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 Coefficient of Particle–Particle Pair Interaction & Van der Waals pair potential. 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 = 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))
Distance Between Surfaces = Center-to-center Distance-Radius of Spherical Body 1-Radius of Spherical Body 2

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