Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Particle–Particle Pair Interaction = (-1*Van der Waals pair potential)*(Distance Between Surfaces^6)
C = (-1*ωr)*(r^6)
This formula uses 3 Variables
Variables Used
Coefficient of Particle–Particle Pair Interaction - Coefficient of particle–particle pair interaction can be determined from the Van der Waals pair potential.
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.
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 pair potential: -500 Joule --> -500 Joule No Conversion Required
Distance Between Surfaces: 10 Angstrom --> 1E-09 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = (-1*ωr)*(r^6) --> (-1*(-500))*(1E-09^6)
Evaluating ... ...
C = 5E-52
STEP 3: Convert Result to Output's Unit
5E-52 --> No Conversion Required
FINAL ANSWER
5E-52 <-- Coefficient of Particle–Particle Pair Interaction
(Calculation completed in 00.004 seconds)

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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]

Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential Formula

Coefficient of Particle–Particle Pair Interaction = (-1*Van der Waals pair potential)*(Distance Between Surfaces^6)
C = (-1*ωr)*(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 Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential?

Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential calculator uses Coefficient of Particle–Particle Pair Interaction = (-1*Van der Waals pair potential)*(Distance Between Surfaces^6) to calculate the Coefficient of Particle–Particle Pair Interaction, The Coefficient in particle-particle pair interaction given Van der Waals pair potential formula is the relation between Van der Waals pair potential and Distance between the surfaces. Coefficient of Particle–Particle Pair Interaction is denoted by C symbol.

How to calculate Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential using this online calculator? To use this online calculator for Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential, enter Van der Waals pair potential r) & Distance Between Surfaces (r) and hit the calculate button. Here is how the Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential calculation can be explained with given input values -> 5E-52 = (-1*(-500))*(1E-09^6).

FAQ

What is Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential?
The Coefficient in particle-particle pair interaction given Van der Waals pair potential formula is the relation between Van der Waals pair potential and Distance between the surfaces and is represented as C = (-1*ωr)*(r^6) or Coefficient of Particle–Particle Pair Interaction = (-1*Van der Waals pair potential)*(Distance Between Surfaces^6). 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 & Distance between surfaces is the length of the line segment between the 2 surfaces.
How to calculate Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential?
The Coefficient in particle-particle pair interaction given Van der Waals pair potential formula is the relation between Van der Waals pair potential and Distance between the surfaces is calculated using Coefficient of Particle–Particle Pair Interaction = (-1*Van der Waals pair potential)*(Distance Between Surfaces^6). To calculate Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential, you need Van der Waals pair potential r) & Distance Between Surfaces (r). With our tool, you need to enter the respective value for Van der Waals pair potential & 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 Coefficient of Particle–Particle Pair Interaction?
In this formula, Coefficient of Particle–Particle Pair Interaction uses Van der Waals pair potential & Distance Between Surfaces. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Coefficient of Particle–Particle Pair Interaction = Hamaker Coefficient/((pi^2)*Number Density of particle 1*Number Density of particle 2)
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