Van Der Waals Pair Potential Solution

STEP 0: Pre-Calculation Summary
Formula Used
Van der Waals pair potential = (0-Coefficient of Particle–Particle Pair Interaction)/(Distance Between Surfaces^6)
ωr = (0-C)/(r^6)
This formula uses 3 Variables
Variables Used
Van der Waals pair potential - (Measured in Joule) - Van der Waals pair potential are driven by induced electrical interactions between two or more atoms or molecules that are very close to each other.
Coefficient of Particle–Particle Pair Interaction - Coefficient of particle–particle pair interaction can be determined from the Van der Waals pair potential.
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
Coefficient of Particle–Particle Pair Interaction: 8 --> No Conversion Required
Distance Between Surfaces: 10 Angstrom --> 1E-09 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ωr = (0-C)/(r^6) --> (0-8)/(1E-09^6)
Evaluating ... ...
ωr = -8E+54
STEP 3: Convert Result to Output's Unit
-8E+54 Joule --> No Conversion Required
FINAL ANSWER
-8E+54 Joule <-- Van der Waals pair potential
(Calculation completed in 00.004 seconds)

Credits

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Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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Verified by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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21 Van der Waals Force Calculators

Van der Waals Interaction Energy between Two Spherical Bodies
​ Go Van der Waals interaction energy = (-(Hamaker Coefficient/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))))
Distance between Surfaces given Van Der Waals Force between Two Spheres
​ Go Distance Between Surfaces = sqrt((Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Potential Energy))
Van der Waals Force between Two Spheres
​ Go Van der Waals force = (Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*(Distance Between Surfaces^2))
Distance between Surfaces given Potential Energy in Limit of Close-Approach
​ Go Distance Between Surfaces = (-Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Potential Energy)
Potential Energy in Limit of Closest-Approach
​ Go Potential Energy = (-Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Distance Between Surfaces)
Radius of Spherical Body 1 given Van der Waals Force between Two Spheres
​ Go Radius of Spherical Body 1 = 1/((Hamaker Coefficient/(Van der Waals force*6*(Distance Between Surfaces^2)))-(1/Radius of Spherical Body 2))
Radius of Spherical Body 2 given Van Der Waals Force between Two Spheres
​ Go Radius of Spherical Body 2 = 1/((Hamaker Coefficient/(Van der Waals force*6*(Distance Between Surfaces^2)))-(1/Radius of Spherical Body 1))
Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach
​ Go Radius of Spherical Body 1 = 1/((-Hamaker Coefficient/(Potential Energy*6*Distance Between Surfaces))-(1/Radius of Spherical Body 2))
Radius of Spherical Body 2 given Potential Energy in Limit of Closest-Approach
​ Go Radius of Spherical Body 2 = 1/((-Hamaker Coefficient/(Potential Energy*6*Distance Between Surfaces))-(1/Radius of Spherical Body 1))
Coefficient in Particle-Particle Pair Interaction
​ Go Coefficient of Particle–Particle Pair Interaction = Hamaker Coefficient/((pi^2)*Number Density of particle 1*Number Density of particle 2)
Radius of Spherical Body 1 given Center-to-Center Distance
​ Go Radius of Spherical Body 1 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 2
Radius of Spherical Body 2 given Center-to-Center Distance
​ Go Radius of Spherical Body 2 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 1
Distance between Surfaces given Center-to-Center Distance
​ Go Distance Between Surfaces = Center-to-center Distance-Radius of Spherical Body 1-Radius of Spherical Body 2
Center-to-Center Distance
​ Go Center-to-center Distance = Radius of Spherical Body 1+Radius of Spherical Body 2+Distance Between Surfaces
Distance between Surfaces given Van Der Waals Pair Potential
​ Go Distance Between Surfaces = ((0-Coefficient of Particle–Particle Pair Interaction)/Van der Waals pair potential)^(1/6)
Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential
​ Go Coefficient of Particle–Particle Pair Interaction = (-1*Van der Waals pair potential)*(Distance Between Surfaces^6)
Van Der Waals Pair Potential
​ Go Van der Waals pair potential = (0-Coefficient of Particle–Particle Pair Interaction)/(Distance Between Surfaces^6)
Molar Mass given Number and Mass Density
​ Go Molar Mass = ([Avaga-no]*Mass Density)/Number Density
Mass Density given Number density
​ Go Mass Density = (Number Density*Molar Mass)/[Avaga-no]
Concentration given Number Density
​ Go Molar Concentration = Number Density/[Avaga-no]
Mass of Single Atom
​ Go Atomic Mass = Molecular Weight/[Avaga-no]

Van Der Waals Pair Potential Formula

Van der Waals pair potential = (0-Coefficient of Particle–Particle Pair Interaction)/(Distance Between Surfaces^6)
ωr = (0-C)/(r^6)

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 Van Der Waals Pair Potential?

Van Der Waals Pair Potential calculator uses Van der Waals pair potential = (0-Coefficient of Particle–Particle Pair Interaction)/(Distance Between Surfaces^6) to calculate the Van der Waals pair potential, The Van der Waals pair potential are driven by induced electrical interactions between two or more atoms or molecules that are very close to each other. Van der Waals pair potential is denoted by ωr symbol.

How to calculate Van Der Waals Pair Potential using this online calculator? To use this online calculator for Van Der Waals Pair Potential, enter Coefficient of Particle–Particle Pair Interaction (C) & Distance Between Surfaces (r) and hit the calculate button. Here is how the Van Der Waals Pair Potential calculation can be explained with given input values -> -8E+54 = (0-8)/(1E-09^6).

FAQ

What is Van Der Waals Pair Potential?
The Van der Waals pair potential are driven by induced electrical interactions between two or more atoms or molecules that are very close to each other and is represented as ωr = (0-C)/(r^6) or Van der Waals pair potential = (0-Coefficient of Particle–Particle Pair Interaction)/(Distance Between Surfaces^6). Coefficient of particle–particle pair interaction can be determined from the Van der Waals pair potential & Distance between surfaces is the length of the line segment between the 2 surfaces.
How to calculate Van Der Waals Pair Potential?
The Van der Waals pair potential are driven by induced electrical interactions between two or more atoms or molecules that are very close to each other is calculated using Van der Waals pair potential = (0-Coefficient of Particle–Particle Pair Interaction)/(Distance Between Surfaces^6). To calculate Van Der Waals Pair Potential, you need Coefficient of Particle–Particle Pair Interaction (C) & Distance Between Surfaces (r). With our tool, you need to enter the respective value for Coefficient of Particle–Particle Pair Interaction & Distance Between Surfaces and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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