Coefficient in Particle-Particle Pair Interaction Calculator

✖Hamaker coefficient A can be defined for a Van der Waals body–body interaction.ⓘ Hamaker Coefficient [A]			+10% -10%
✖Number Density of particle 1 is an intensive quantity used to describe the degree of concentration of countable objects (particles, molecules, phonons, cells, galaxies, etc.) in physical space.ⓘ Number Density of particle 1 [ρ₁]			+10% -10%
✖Number Density of particle 2 is an intensive quantity used to describe the degree of concentration of countable objects (particles, molecules, phonons, cells, galaxies, etc.) in physical space.ⓘ Number Density of particle 2 [ρ₂]			+10% -10%

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

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Coefficient in Particle-Particle Pair Interaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Particle–Particle Pair Interaction = Hamaker Coefficient/((pi^2)*Number Density of particle 1*Number Density of particle 2)
C = A/((pi^2)*ρ₁*ρ₂)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Coefficient of Particle–Particle Pair Interaction - Coefficient of particle–particle pair interaction can be determined from the Van der Waals pair potential.
Hamaker Coefficient - (Measured in Joule) - Hamaker coefficient A can be defined for a Van der Waals body–body interaction.
Number Density of particle 1 - (Measured in 1 per Cubic Meter) - Number Density of particle 1 is an intensive quantity used to describe the degree of concentration of countable objects (particles, molecules, phonons, cells, galaxies, etc.) in physical space.
Number Density of particle 2 - (Measured in 1 per Cubic Meter) - Number Density of particle 2 is an intensive quantity used to describe the degree of concentration of countable objects (particles, molecules, phonons, cells, galaxies, etc.) in physical space.

STEP 1: Convert Input(s) to Base Unit

Hamaker Coefficient: 100 Joule --> 100 Joule No Conversion Required
Number Density of particle 1: 3 1 per Cubic Meter --> 3 1 per Cubic Meter No Conversion Required
Number Density of particle 2: 5 1 per Cubic Meter --> 5 1 per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = A/((pi^2)*ρ₁*ρ₂) --> 100/((pi^2)*3*5)

Evaluating ... ...

C = 0.675474557615585

STEP 3: Convert Result to Output's Unit

0.675474557615585 --> No Conversion Required

FINAL ANSWER

0.675474557615585 ≈ 0.675475 <-- Coefficient of Particle–Particle Pair Interaction

(Calculation completed in 00.004 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 Formula

LaTeX Go

Coefficient of Particle–Particle Pair Interaction = Hamaker Coefficient/((pi^2)*Number Density of particle 1*Number Density of particle 2)
C = A/((pi^2)*ρ₁*ρ₂)

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?

Coefficient in Particle-Particle Pair Interaction calculator uses Coefficient of Particle–Particle Pair Interaction = Hamaker Coefficient/((pi^2)*Number Density of particle 1*Number Density of particle 2) to calculate the Coefficient of Particle–Particle Pair Interaction, The Coefficient in particle-particle pair interaction can be determined from the Van der Waals pair potential and represented as C. Coefficient of Particle–Particle Pair Interaction is denoted by C symbol.

How to calculate Coefficient in Particle-Particle Pair Interaction using this online calculator? To use this online calculator for Coefficient in Particle-Particle Pair Interaction, enter Hamaker Coefficient (A), Number Density of particle 1 (ρ₁) & Number Density of particle 2 (ρ₂) and hit the calculate button. Here is how the Coefficient in Particle-Particle Pair Interaction calculation can be explained with given input values -> 0.675475 = 100/((pi^2)*3*5).

FAQ

What is Coefficient in Particle-Particle Pair Interaction?

The Coefficient in particle-particle pair interaction can be determined from the Van der Waals pair potential and represented as C and is represented as C = A/((pi^2)*ρ₁*ρ₂) or Coefficient of Particle–Particle Pair Interaction = Hamaker Coefficient/((pi^2)*Number Density of particle 1*Number Density of particle 2). Hamaker coefficient A can be defined for a Van der Waals body–body interaction, Number Density of particle 1 is an intensive quantity used to describe the degree of concentration of countable objects (particles, molecules, phonons, cells, galaxies, etc.) in physical space & Number Density of particle 2 is an intensive quantity used to describe the degree of concentration of countable objects (particles, molecules, phonons, cells, galaxies, etc.) in physical space.

How to calculate Coefficient in Particle-Particle Pair Interaction?

The Coefficient in particle-particle pair interaction can be determined from the Van der Waals pair potential and represented as C is calculated using Coefficient of Particle–Particle Pair Interaction = Hamaker Coefficient/((pi^2)*Number Density of particle 1*Number Density of particle 2). To calculate Coefficient in Particle-Particle Pair Interaction, you need Hamaker Coefficient (A), Number Density of particle 1 (ρ₁) & Number Density of particle 2 (ρ₂). With our tool, you need to enter the respective value for Hamaker Coefficient, Number Density of particle 1 & Number Density of particle 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 Coefficient of Particle–Particle Pair Interaction?

In this formula, Coefficient of Particle–Particle Pair Interaction uses Hamaker Coefficient, Number Density of particle 1 & Number Density of particle 2. We can use 1 other way(s) to calculate the same, which is/are as follows -

Coefficient of Particle–Particle Pair Interaction = (-1*Van der Waals pair potential)*(Distance Between Surfaces^6)

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