Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential Calculator

✖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 [r]			+10% -10%

✖Coefficient of particle–particle pair interaction can be determined from the Van der Waals pair potential.ⓘ Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential [C]

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Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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

Van der Waals pair potential: -500 Joule --> -500 Joule No Conversion Required
Distance Between Surfaces: 10 Angstrom --> 1E-09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (-1*ω_r)*(r^6) --> (-1*(-500))*(1E-09^6)

Evaluating ... ...

C = 5E-52

STEP 3: Convert Result to Output's Unit

5E-52 --> No Conversion Required

FINAL ANSWER

5E-52 <-- Coefficient of Particle–Particle Pair Interaction

(Calculation completed in 00.006 seconds)

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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))

Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential Formula

LaTeX Go

Coefficient of Particle–Particle Pair Interaction = (-1*Van der Waals pair potential)*(Distance Between Surfaces^6)
C = (-1*ω_r)*(r^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 Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential?

Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential calculator uses Coefficient of Particle–Particle Pair Interaction = (-1*Van der Waals pair potential)*(Distance Between Surfaces^6) to calculate the Coefficient of Particle–Particle Pair Interaction, The Coefficient in particle-particle pair interaction given Van der Waals pair potential formula is the relation between Van der Waals pair potential and Distance between the surfaces. Coefficient of Particle–Particle Pair Interaction is denoted by C symbol.

How to calculate Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential using this online calculator? To use this online calculator for Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential, enter Van der Waals pair potential (ω_r) & Distance Between Surfaces (r) and hit the calculate button. Here is how the Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential calculation can be explained with given input values -> 5E-52 = (-1*(-500))*(1E-09^6).

FAQ

What is Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential?

The Coefficient in particle-particle pair interaction given Van der Waals pair potential formula is the relation between Van der Waals pair potential and Distance between the surfaces and is represented as C = (-1*ω_r)*(r^6) or Coefficient of Particle–Particle Pair Interaction = (-1*Van der Waals pair potential)*(Distance Between Surfaces^6). 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 & Distance between surfaces is the length of the line segment between the 2 surfaces.

How to calculate Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential?

The Coefficient in particle-particle pair interaction given Van der Waals pair potential formula is the relation between Van der Waals pair potential and Distance between the surfaces is calculated using Coefficient of Particle–Particle Pair Interaction = (-1*Van der Waals pair potential)*(Distance Between Surfaces^6). To calculate Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential, you need Van der Waals pair potential (ω_r) & Distance Between Surfaces (r). With our tool, you need to enter the respective value for Van der Waals pair potential & 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 Coefficient of Particle–Particle Pair Interaction?

In this formula, Coefficient of Particle–Particle Pair Interaction uses Van der Waals pair potential & Distance Between Surfaces. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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