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Hamaker coefficient A can be defined for a Van der Waals body–body interaction. Check FAQs
A=-PE⋅(R1+R2)⋅6⋅rR1⋅R2
A - Hamaker Coefficient?PE - Potential Energy?R1 - Radius of Spherical Body 1?R2 - Radius of Spherical Body 2?r - Distance Between Surfaces?

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

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Here is how the Hamaker Coefficient using Potential Energy in Limit of Closest-Approach equation looks like with Values.

Here is how the Hamaker Coefficient using Potential Energy in Limit of Closest-Approach equation looks like with Units.

Here is how the Hamaker Coefficient using Potential Energy in Limit of Closest-Approach equation looks like.

-36Edit=-4Edit⋅(12Edit+15Edit)⋅6⋅10Edit12Edit⋅15Edit
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HomeIcon Home » Category Chemistry » Category Kinetic Theory of Gases » Category Real Gas » fx Hamaker Coefficient using Potential Energy in Limit of Closest-Approach

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

Follow our step by step solution on how to calculate Hamaker Coefficient using Potential Energy in Limit of Closest-Approach?

FIRST Step Consider the formula
A=-PE⋅(R1+R2)⋅6⋅rR1⋅R2
Next Step Substitute values of Variables
∴ A=-4J⋅(12A+15A)⋅6⋅10A12A⋅15A
Next Step Convert Units
∴ A=-4J⋅(1.2E-9m+1.5E-9m)⋅6⋅1E-9m1.2E-9m⋅1.5E-9m
Next Step Prepare to Evaluate
∴ A=-4⋅(1.2E-9+1.5E-9)⋅6⋅1E-91.2E-9⋅1.5E-9
LAST Step Evaluate
∴A=-36J

Hamaker Coefficient using Potential Energy in Limit of Closest-Approach 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 CoefficientOpen Variable
Potential Energy
Potential Energy is the energy that is stored in an object due to its position relative to some zero position.
Symbol: PE
Measurement: EnergyUnit: J
Note: Value should be greater than 0.
Formulas to find Potential EnergyOpen Variable
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 1Open Variable
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 2Open Variable
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 SurfacesOpen Variable

Credits

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Created by Prerana Bakli LinkedIn Logo
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has created this Formula and 800+ more formulas!
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Verified by Prashant Singh LinkedIn Logo
K J Somaiya College of science (K J Somaiya), Mumbai
Prashant Singh has verified this Formula and 500+ more formulas!

Other Formulas to find Hamaker Coefficient

​Go Hamaker Coefficient using Van der Waals Forces between Objects
A=-FVWaals⋅(R1+R2)⋅6⋅(r2)R1⋅R2
​Go Hamaker Coefficient using Van der Waals Interaction Energy
A=-UVWaals⋅6(2⋅R1⋅R2(z2)-((R1+R2)2))+(2⋅R1⋅R2(z2)-((R1-R2)2))+ln((z2)-((R1+R2)2)(z2)-((R1-R2)2))

Other formulas in Hamaker Coefficient category

​Go Hamaker Coefficient
AHC=(π2)⋅C⋅ρ1⋅ρ2

How to Evaluate Hamaker Coefficient using Potential Energy in Limit of Closest-Approach?

Hamaker Coefficient using Potential Energy in Limit of Closest-Approach evaluator uses 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) to evaluate the Hamaker Coefficient, The Hamaker coefficient using Potential Energy in limit of closest-approach formula 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 Potential Energy in Limit of Closest-Approach using this online evaluator? To use this online evaluator for Hamaker Coefficient using Potential Energy in Limit of Closest-Approach, enter Potential Energy (PE), 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 Potential Energy in Limit of Closest-Approach

What is the formula to find Hamaker Coefficient using Potential Energy in Limit of Closest-Approach?
The formula of Hamaker Coefficient using Potential Energy in Limit of Closest-Approach is expressed as 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). Here is an example- -36 = (-4*(1.2E-09+1.5E-09)*6*1E-09)/(1.2E-09*1.5E-09).
How to calculate Hamaker Coefficient using Potential Energy in Limit of Closest-Approach?
With Potential Energy (PE), Radius of Spherical Body 1 (R1), Radius of Spherical Body 2 (R2) & Distance Between Surfaces (r) we can find Hamaker Coefficient using Potential Energy in Limit of Closest-Approach using the formula - 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).
What are the other ways to Calculate Hamaker Coefficient?
Here are the different ways to Calculate Hamaker Coefficient-
  • 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)OpenImg
  • 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))))OpenImg
Can the Hamaker Coefficient using Potential Energy in Limit of Closest-Approach be negative?
Yes, the Hamaker Coefficient using Potential Energy in Limit of Closest-Approach, measured in Energy can be negative.
Which unit is used to measure Hamaker Coefficient using Potential Energy in Limit of Closest-Approach?
Hamaker Coefficient using Potential Energy in Limit of Closest-Approach 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 Potential Energy in Limit of Closest-Approach can be measured.
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