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Hamaker Coefficient Formula

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Hamaker Coefficient A can be defined for a Van der Waals body–body interaction. Check FAQs

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

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

Hamaker Coefficient Example

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Here is how the Hamaker Coefficient equation looks like with Values.

Here is how the Hamaker Coefficient equation looks like with Units.

Here is how the Hamaker Coefficient equation looks like.

1184.3525 = ({3.1416}^{2}) \cdot 8 \cdot 3 \cdot 5

1184.3525 = ({3.1416}^{2}) \cdot 8 \cdot 31/m³ \cdot 51/m³

1184.3525 = ({3.1416}^{2}) \cdot 8 \cdot 3 \cdot 5

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Hamaker Coefficient Solution

Follow our step by step solution on how to calculate Hamaker Coefficient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A HC = (π^{2}) \cdot 8 \cdot 31/m³ \cdot 51/m³

Next Step Substitute values of Constants

∴

A HC = ({3.1416}^{2}) \cdot 8 \cdot 31/m³ \cdot 51/m³

Next Step Prepare to Evaluate

∴

A HC = ({3.1416}^{2}) \cdot 8 \cdot 3 \cdot 5

Next Step Evaluate

∴

A HC = 1184.35252813072

LAST Step Rounding Answer

∴

A HC = 1184.3525

Hamaker Coefficient Formula Elements

Variables

Constants

Hamaker Coefficient A

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

Symbol: A_HC

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Hamaker Coefficient A

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

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 in Hamaker Coefficient category

Go Actual Pressure given Peng Robinson Parameter a, and other Reduced and Critical Parameters

P PRP = P r \cdot (0.45724 \cdot ({[R]}^{2}) \cdot \frac{{T c}^{2}}{a PR})

Go Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters

T PRP = T r \cdot (\frac{b PR \cdot P c}{0.07780 \cdot [R]})

Go Temperature of Real Gas using Peng Robinson Equation

T CE = (p + ((\frac{a PR \cdot α}{({V m}^{2}) + (2 \cdot b PR \cdot V m) - ({b PR}^{2})}))) \cdot (\frac{V m - b PR}{[R]})

Go Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters

Pc PRP = 0.07780 \cdot [R] \cdot \frac{\frac{T g}{T r}}{b PR}

How to Evaluate Hamaker Coefficient?

Hamaker Coefficient evaluator uses Hamaker Coefficient A = (pi^2)*Coefficient of Particle–Particle Pair Interaction*Number Density of particle 1*Number Density of particle 2 to evaluate the Hamaker Coefficient A, The Hamaker coefficient A can be defined for a Van der Waals (VdW) body–body interaction. The magnitude of this constant reflects the strength of the vdW force between two particles, or between a particle and a substrate. Hamaker Coefficient A is denoted by A_HC symbol.

How to evaluate Hamaker Coefficient using this online evaluator? To use this online evaluator for Hamaker Coefficient, enter Coefficient of Particle–Particle Pair Interaction (C), Number Density of particle 1 (ρ₁) & Number Density of particle 2 (ρ₂) and hit the calculate button.

FAQs on Hamaker Coefficient

What is the formula to find Hamaker Coefficient?

The formula of Hamaker Coefficient is expressed as Hamaker Coefficient A = (pi^2)*Coefficient of Particle–Particle Pair Interaction*Number Density of particle 1*Number Density of particle 2. Here is an example- 1184.353 = (pi^2)*8*3*5.

How to calculate Hamaker Coefficient?

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

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Hamaker Coefficient Formula

Hamaker Coefficient Example

Hamaker Coefficient Solution

Hamaker Coefficient Formula Elements

Other formulas in Hamaker Coefficient category

How to Evaluate Hamaker Coefficient?

FAQs on Hamaker Coefficient

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