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Hamaker coefficient A can be defined for a Van der Waals body–body interaction. Check FAQs
A=-PE(R1+R2)6rR1R2
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)610Edit12Edit15Edit
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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)6rR1R2
Next Step Substitute values of Variables
A=-4J(12A+15A)610A12A15A
Next Step Convert Units
A=-4J(1.2E-9m+1.5E-9m)61E-9m1.2E-9m1.5E-9m
Next Step Prepare to Evaluate
A=-4(1.2E-9+1.5E-9)61E-91.2E-91.5E-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.
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.
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.
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.
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.

Other Formulas to find Hamaker Coefficient

​Go Hamaker Coefficient using Van der Waals Forces between Objects
A=-FVWaals(R1+R2)6(r2)R1R2
​Go Hamaker Coefficient using Van der Waals Interaction Energy
A=-UVWaals6(2R1R2(z2)-((R1+R2)2))+(2R1R2(z2)-((R1-R2)2))+ln((z2)-((R1+R2)2)(z2)-((R1-R2)2))

Other formulas in Hamaker Coefficient category

​Go Hamaker Coefficient
AHC=(π2)Cρ1ρ2

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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