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Hamaker Coefficient using Van der Waals Forces between Objects Formula

GoHamaker Coefficient using Potential Energy in Limit of Closest-Approach Formula

GoHamaker Coefficient using Van der Waals Interaction Energy Formula

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

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

A - Hamaker Coefficient?F_VWaals - Van der Waals force?R₁ - Radius of Spherical Body 1?R₂ - Radius of Spherical Body 2?r - Distance Between Surfaces?

Hamaker Coefficient using Van der Waals Forces between Objects Example

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Here is how the Hamaker Coefficient using Van der Waals Forces between Objects equation looks like with Values.

Here is how the Hamaker Coefficient using Van der Waals Forces between Objects equation looks like with Units.

Here is how the Hamaker Coefficient using Van der Waals Forces between Objects equation looks like.

-9.9E-7 = \frac{- 110 \cdot (12 + 15) \cdot 6 \cdot (10^{2})}{12 \cdot 15}

-9.9E-7J = \frac{- 110N \cdot (12A + 15A) \cdot 6 \cdot ({10A}^{2})}{12A \cdot 15A}

-9.9E-7 = \frac{- 110 \cdot (12 + 15) \cdot 6 \cdot (10^{2})}{12 \cdot 15}

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Hamaker Coefficient using Van der Waals Forces between Objects Solution

Follow our step by step solution on how to calculate Hamaker Coefficient using Van der Waals Forces between Objects?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{- 110N \cdot (12A + 15A) \cdot 6 \cdot ({10A}^{2})}{12A \cdot 15A}

Next Step Convert Units

∴

A = \frac{- 110N \cdot (1.2E-9m + 1.5E-9m) \cdot 6 \cdot ({1E-9m}^{2})}{1.2E-9m \cdot 1.5E-9m}

Next Step Prepare to Evaluate

∴

A = \frac{- 110 \cdot (1.2E-9 + 1.5E-9) \cdot 6 \cdot ({1E-9}^{2})}{1.2E-9 \cdot 1.5E-9}

Next Step Evaluate

∴

A = -9.9E-07J

LAST Step Rounding Answer

∴

A = -9.9E-7J

Hamaker Coefficient using Van der Waals Forces between Objects Formula Elements

Variables

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

Van der Waals force

Van der Waals force is a general term used to define the attraction of intermolecular forces between molecules.

Symbol: F_VWaals

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Van der Waals force

Radius of Spherical Body 1

Radius of Spherical Body 1 represented as R1.

Symbol: R₁

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Radius of Spherical Body 1

Radius of Spherical Body 2

Radius of Spherical Body 2 represented as R1.

Symbol: R₂

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Radius of Spherical Body 2

Distance Between Surfaces

Distance between surfaces is the length of the line segment between the 2 surfaces.

Symbol: r

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Distance Between Surfaces

Other Formulas to find Hamaker Coefficient

Go Hamaker Coefficient using Potential Energy in Limit of Closest-Approach

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

Go Hamaker Coefficient using Van der Waals Interaction Energy

A = \frac{- U VWaals \cdot 6}{(\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})})}

Other formulas in Hamaker Coefficient category

Go Hamaker Coefficient

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

How to Evaluate Hamaker Coefficient using Van der Waals Forces between Objects?

Hamaker Coefficient using Van der Waals Forces between Objects evaluator uses Hamaker Coefficient = (-Van der Waals force*(Radius of Spherical Body 1+Radius of Spherical Body 2)*6*(Distance Between Surfaces^2))/(Radius of Spherical Body 1*Radius of Spherical Body 2) to evaluate the Hamaker Coefficient, The Hamaker coefficient using Van der Waals forces between objects A can be defined for a Van der Waals body–body interaction. Hamaker Coefficient is denoted by A symbol.

How to evaluate Hamaker Coefficient using Van der Waals Forces between Objects using this online evaluator? To use this online evaluator for Hamaker Coefficient using Van der Waals Forces between Objects, enter Van der Waals force (F_VWaals), Radius of Spherical Body 1 (R₁), Radius of Spherical Body 2 (R₂) & Distance Between Surfaces (r) and hit the calculate button.

FAQs on Hamaker Coefficient using Van der Waals Forces between Objects

What is the formula to find Hamaker Coefficient using Van der Waals Forces between Objects?

The formula of Hamaker Coefficient using Van der Waals Forces between Objects is expressed as Hamaker Coefficient = (-Van der Waals force*(Radius of Spherical Body 1+Radius of Spherical Body 2)*6*(Distance Between Surfaces^2))/(Radius of Spherical Body 1*Radius of Spherical Body 2). Here is an example- -9.9E-7 = (-110*(1.2E-09+1.5E-09)*6*(1E-09^2))/(1.2E-09*1.5E-09).

How to calculate Hamaker Coefficient using Van der Waals Forces between Objects?

With Van der Waals force (F_VWaals), Radius of Spherical Body 1 (R₁), Radius of Spherical Body 2 (R₂) & Distance Between Surfaces (r) we can find Hamaker Coefficient using Van der Waals Forces between Objects using the formula - Hamaker Coefficient = (-Van der Waals force*(Radius of Spherical Body 1+Radius of Spherical Body 2)*6*(Distance Between Surfaces^2))/(Radius of Spherical Body 1*Radius of Spherical Body 2).

What are the other ways to Calculate Hamaker Coefficient?

Here are the different ways to Calculate Hamaker Coefficient-

Hamaker Coefficient=(-Potential Energy*(Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Distance Between Surfaces)/(Radius of Spherical Body 1*Radius of Spherical Body 2)
Hamaker Coefficient=(-Van der Waals interaction energy*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))))

Can the Hamaker Coefficient using Van der Waals Forces between Objects be negative?

Yes, the Hamaker Coefficient using Van der Waals Forces between Objects, measured in Energy can be negative.

Which unit is used to measure Hamaker Coefficient using Van der Waals Forces between Objects?

Hamaker Coefficient using Van der Waals Forces between Objects is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Hamaker Coefficient using Van der Waals Forces between Objects can be measured.

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Hamaker Coefficient using Van der Waals Forces between Objects Formula

​GoHamaker Coefficient using Potential Energy in Limit of Closest-Approach Formula

​GoHamaker Coefficient using Van der Waals Interaction Energy Formula

Hamaker Coefficient using Van der Waals Forces between Objects Example

Hamaker Coefficient using Van der Waals Forces between Objects Solution

Hamaker Coefficient using Van der Waals Forces between Objects Formula Elements

Other Formulas to find Hamaker Coefficient

Other formulas in Hamaker Coefficient category

How to Evaluate Hamaker Coefficient using Van der Waals Forces between Objects?

FAQs on Hamaker Coefficient using Van der Waals Forces between Objects

Variable Name

GoHamaker Coefficient using Potential Energy in Limit of Closest-Approach Formula

GoHamaker Coefficient using Van der Waals Interaction Energy Formula