Hamaker Coefficient using Van der Waals Forces between Objects Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
A = (-FVWaals*(R1+R2)*6*(r^2))/(R1*R2)
This formula uses 5 Variables
Variables Used
Hamaker Coefficient - (Measured in Joule) - Hamaker coefficient A can be defined for a Van der Waals body–body interaction.
Van der Waals force - (Measured in Newton) - Van der Waals force is a general term used to define the attraction of intermolecular forces between molecules.
Radius of Spherical Body 1 - (Measured in Meter) - Radius of Spherical Body 1 represented as R1.
Radius of Spherical Body 2 - (Measured in Meter) - Radius of Spherical Body 2 represented as R1.
Distance Between Surfaces - (Measured in Meter) - Distance between surfaces is the length of the line segment between the 2 surfaces.
STEP 1: Convert Input(s) to Base Unit
Van der Waals force: 110 Newton --> 110 Newton No Conversion Required
Radius of Spherical Body 1: 12 Angstrom --> 1.2E-09 Meter (Check conversion ​here)
Radius of Spherical Body 2: 15 Angstrom --> 1.5E-09 Meter (Check conversion ​here)
Distance Between Surfaces: 10 Angstrom --> 1E-09 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (-FVWaals*(R1+R2)*6*(r^2))/(R1*R2) --> (-110*(1.2E-09+1.5E-09)*6*(1E-09^2))/(1.2E-09*1.5E-09)
Evaluating ... ...
A = -9.9E-07
STEP 3: Convert Result to Output's Unit
-9.9E-07 Joule --> No Conversion Required
FINAL ANSWER
-9.9E-07 -9.9E-7 Joule <-- Hamaker Coefficient
(Calculation completed in 00.004 seconds)

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Hamaker Coefficient Calculators

Hamaker Coefficient using Van der Waals Interaction Energy
​ LaTeX ​ Go 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))))
Hamaker Coefficient using Van der Waals Forces between Objects
​ LaTeX ​ Go 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)
Hamaker Coefficient using Potential Energy in Limit of Closest-Approach
​ LaTeX ​ Go 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
​ LaTeX ​ Go Hamaker Coefficient A = (pi^2)*Coefficient of Particle–Particle Pair Interaction*Number Density of particle 1*Number Density of particle 2

Hamaker Coefficient using Van der Waals Forces between Objects Formula

​LaTeX ​Go
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)
A = (-FVWaals*(R1+R2)*6*(r^2))/(R1*R2)

What are main characteristics of Van der Waals forces?

1) They are weaker than normal covalent and ionic bonds.
2) Van der Waals forces are additive and cannot be saturated.
3) They have no directional characteristic.
4) They are all short-range forces and hence only interactions between the nearest particles need to be considered (instead of all the particles). Van der Waals attraction is greater if the molecules are closer.
5) Van der Waals forces are independent of temperature except for dipole – dipole interactions.

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

Hamaker Coefficient using Van der Waals Forces between Objects calculator 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 calculate 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 calculate Hamaker Coefficient using Van der Waals Forces between Objects using this online calculator? To use this online calculator for Hamaker Coefficient using Van der Waals Forces between Objects, enter Van der Waals force (FVWaals), Radius of Spherical Body 1 (R1), Radius of Spherical Body 2 (R2) & Distance Between Surfaces (r) and hit the calculate button. Here is how the Hamaker Coefficient using Van der Waals Forces between Objects calculation can be explained with given input values -> -9.9E-7 = (-110*(1.2E-09+1.5E-09)*6*(1E-09^2))/(1.2E-09*1.5E-09).

FAQ

What is Hamaker Coefficient using Van der Waals Forces between Objects?
The Hamaker coefficient using Van der Waals forces between objects A can be defined for a Van der Waals body–body interaction and is represented as A = (-FVWaals*(R1+R2)*6*(r^2))/(R1*R2) or 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). Van der Waals force is a general term used to define the attraction of intermolecular forces between molecules, Radius of Spherical Body 1 represented as R1, Radius of Spherical Body 2 represented as R1 & Distance between surfaces is the length of the line segment between the 2 surfaces.
How to calculate Hamaker Coefficient using Van der Waals Forces between Objects?
The Hamaker coefficient using Van der Waals forces between objects A can be defined for a Van der Waals body–body interaction is calculated using 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 calculate Hamaker Coefficient using Van der Waals Forces between Objects, you need Van der Waals force (FVWaals), Radius of Spherical Body 1 (R1), Radius of Spherical Body 2 (R2) & Distance Between Surfaces (r). With our tool, you need to enter the respective value for Van der Waals force, Radius of Spherical Body 1, Radius of Spherical Body 2 & Distance Between Surfaces and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Hamaker Coefficient?
In this formula, Hamaker Coefficient uses Van der Waals force, Radius of Spherical Body 1, Radius of Spherical Body 2 & Distance Between Surfaces. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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))))
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