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Coefficient in Particle-Particle Pair Interaction Formula

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

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Coefficient of particle–particle pair interaction can be determined from the Van der Waals pair potential. Check FAQs

C = \frac{A}{(π^{2}) \cdot ρ 1 \cdot ρ 2}

C - Coefficient of Particle–Particle Pair Interaction?A - Hamaker Coefficient?ρ₁ - Number Density of particle 1?ρ₂ - Number Density of particle 2?π - Archimedes' constant?

Coefficient in Particle-Particle Pair Interaction Example

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Here is how the Coefficient in Particle-Particle Pair Interaction equation looks like with Values.

Here is how the Coefficient in Particle-Particle Pair Interaction equation looks like with Units.

Here is how the Coefficient in Particle-Particle Pair Interaction equation looks like.

0.6755 = \frac{100}{({3.1416}^{2}) \cdot 3 \cdot 5}

0.6755 = \frac{100J}{({3.1416}^{2}) \cdot 31/m³ \cdot 51/m³}

0.6755 = \frac{100}{({3.1416}^{2}) \cdot 3 \cdot 5}

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Coefficient in Particle-Particle Pair Interaction Solution

Follow our step by step solution on how to calculate Coefficient in Particle-Particle Pair Interaction?

FIRST Step Consider the formula

C = \frac{A}{(π^{2}) \cdot ρ 1 \cdot ρ 2}

Next Step Substitute values of Variables

∴

C = \frac{100J}{(π^{2}) \cdot 31/m³ \cdot 51/m³}

Next Step Substitute values of Constants

∴

C = \frac{100J}{({3.1416}^{2}) \cdot 31/m³ \cdot 51/m³}

Next Step Prepare to Evaluate

∴

C = \frac{100}{({3.1416}^{2}) \cdot 3 \cdot 5}

Next Step Evaluate

∴

C = 0.675474557615585

LAST Step Rounding Answer

∴

C = 0.6755

Coefficient in Particle-Particle Pair Interaction Formula Elements

Variables

Constants

Coefficient of Particle–Particle Pair Interaction

Coefficient of particle–particle pair interaction can be determined from the Van der Waals pair potential.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient of Particle–Particle Pair Interaction

Hamaker Coefficient

Hamaker coefficient A can be defined for a Van der Waals body–body interaction.

Symbol: A

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Hamaker Coefficient

Number Density of particle 1

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.

Symbol: ρ₁

Measurement: Number DensityUnit: 1/m³

Note: Value can be positive or negative.

Formulas to find Number Density of particle 1

Number Density of particle 2

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.

Symbol: ρ₂

Measurement: Number DensityUnit: 1/m³

Note: Value can be positive or negative.

Formulas to find Number Density of particle 2

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Coefficient of Particle–Particle Pair Interaction

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

C = (- 1 \cdot ω r) \cdot (r^{6})

Other formulas in Van der Waals Force category

Go Van der Waals Interaction Energy between Two Spherical Bodies

U VWaals = (- (\frac{A}{6})) \cdot ((\frac{2 \cdot R 1 \cdot R 2}{(z^{2}) - ({(R 1 + R 2)}^{2})}) + (\frac{2 \cdot R 1 \cdot R 2}{(z^{2}) - ({(R 1 - R 2)}^{2})}) + \ln (\frac{(z^{2}) - ({(R 1 + R 2)}^{2})}{(z^{2}) - ({(R 1 - R 2)}^{2})}))

Go Potential Energy in Limit of Closest-Approach

PE Limit = \frac{- A \cdot R 1 \cdot R 2}{(R 1 + R 2) \cdot 6 \cdot r}

Go Distance between Surfaces given Potential Energy in Limit of Close-Approach

r = \frac{- A \cdot R 1 \cdot R 2}{(R 1 + R 2) \cdot 6 \cdot PE}

Go Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach

R 1 = \frac{1}{(- \frac{A}{PE \cdot 6 \cdot r}) - (\frac{1}{R 2})}

How to Evaluate Coefficient in Particle-Particle Pair Interaction?

Coefficient in Particle-Particle Pair Interaction evaluator uses Coefficient of Particle–Particle Pair Interaction = Hamaker Coefficient/((pi^2)*Number Density of particle 1*Number Density of particle 2) to evaluate 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 evaluate Coefficient in Particle-Particle Pair Interaction using this online evaluator? To use this online evaluator 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.

FAQs on Coefficient in Particle-Particle Pair Interaction

What is the formula to find Coefficient in Particle-Particle Pair Interaction?

The formula of Coefficient in Particle-Particle Pair Interaction is expressed as Coefficient of Particle–Particle Pair Interaction = Hamaker Coefficient/((pi^2)*Number Density of particle 1*Number Density of particle 2). Here is an example- 0.675475 = 100/((pi^2)*3*5).

How to calculate Coefficient in Particle-Particle Pair Interaction?

With Hamaker Coefficient (A), Number Density of particle 1 (ρ₁) & Number Density of particle 2 (ρ₂) we can find Coefficient in Particle-Particle Pair Interaction using the formula - Coefficient of Particle–Particle Pair Interaction = Hamaker Coefficient/((pi^2)*Number Density of particle 1*Number Density of particle 2). This formula also uses Archimedes' constant .

What are the other ways to Calculate Coefficient of Particle–Particle Pair Interaction?

Here are the different ways to Calculate Coefficient of Particle–Particle Pair Interaction-

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

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Coefficient in Particle-Particle Pair Interaction Formula

​GoCoefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential Formula

Coefficient in Particle-Particle Pair Interaction Example

Coefficient in Particle-Particle Pair Interaction Solution

Coefficient in Particle-Particle Pair Interaction Formula Elements

Other Formulas to find Coefficient of Particle–Particle Pair Interaction

Other formulas in Van der Waals Force category

How to Evaluate Coefficient in Particle-Particle Pair Interaction?

FAQs on Coefficient in Particle-Particle Pair Interaction

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