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Distance between the surfaces using Van der Waals pair potential Solution

STEP 0: Pre-Calculation Summary
Formula Used
distance_between_the_surfaces = (-Coefficient of particle–particle pair interaction/Van der Waals pair potential)^(1/6)
r = (-C/ω(r))^(1/6)
This formula uses 2 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 - 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. (Measured in Joule)
STEP 1: Convert Input(s) to Base Unit
Coefficient of particle–particle pair interaction: 10 --> No Conversion Required
Van der Waals pair potential: -500 Joule --> -500 Joule No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = (-C/ω(r))^(1/6) --> (-10/(-500))^(1/6)
Evaluating ... ...
r = 0.521000730958691
STEP 3: Convert Result to Output's Unit
0.521000730958691 Meter -->5210007309.58691 Angstrom (Check conversion here)
FINAL ANSWER
5210007309.58691 Angstrom <-- Distance between the surfaces
(Calculation completed in 00.047 seconds)

5 Other formulas that you can solve using the same Inputs

Hamaker coefficient
hamaker_coefficient = (pi^2)*Coefficient of particle–particle pair interaction*Number Density of particle 1*Number Density of particle 2 Go
Number density of particle 1 using Hamaker coefficient
number_density1 = Hamaker coefficient/((pi^2)*Coefficient of particle–particle pair interaction*Number Density of particle 2) Go
Number density of particle 2 using Hamaker coefficient
number_density2 = Hamaker coefficient/((pi^2)*Coefficient of particle–particle pair interaction*Number Density of particle 1) Go
Coefficient in the particle–particle pair interaction using Van der Waals pair potential
coefficient_of_particle_particle_pair_interaction = -Van der Waals pair potential*(Distance between the surfaces^6) Go
Van der Waals pair potential
vanderwaals_pair_potential = -Coefficient of particle–particle pair interaction/(Distance between the surfaces^6) Go

3 Other formulas that calculate the same Output

Distance between the surfaces using Van der Waals force between two spheres
distance_between_the_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)) Go
Distance between the surfaces using Potential Energy in the limit of close-approach
distance_between_the_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) Go
Distance between the surfaces using Center-to-center distance
distance_between_the_surfaces = Center-to-center distance-Radius of Spherical Body 1-Radius of Spherical Body 2 Go

Distance between the surfaces using Van der Waals pair potential Formula

distance_between_the_surfaces = (-Coefficient of particle–particle pair interaction/Van der Waals pair potential)^(1/6)
r = (-C/ω(r))^(1/6)

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 Distance between the surfaces using Van der Waals pair potential?

Distance between the surfaces using Van der Waals pair potential calculator uses distance_between_the_surfaces = (-Coefficient of particle–particle pair interaction/Van der Waals pair potential)^(1/6) to calculate the Distance between the surfaces, The Distance between the surfaces using Van der Waals pair potential is the length of the line segment between the 2 surfaces. Distance between the surfaces and is denoted by r symbol.

How to calculate Distance between the surfaces using Van der Waals pair potential using this online calculator? To use this online calculator for Distance between the surfaces using Van der Waals pair potential, enter Coefficient of particle–particle pair interaction (C) and Van der Waals pair potential (ω(r)) and hit the calculate button. Here is how the Distance between the surfaces using Van der Waals pair potential calculation can be explained with given input values -> 5.210E+9 = (-10/(-500))^(1/6).

FAQ

What is Distance between the surfaces using Van der Waals pair potential?
The Distance between the surfaces using Van der Waals pair potential is the length of the line segment between the 2 surfaces and is represented as r = (-C/ω(r))^(1/6) or distance_between_the_surfaces = (-Coefficient of particle–particle pair interaction/Van der Waals pair potential)^(1/6). Coefficient of particle–particle pair interaction can be determined from the Van der Waals pair potential and 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.
How to calculate Distance between the surfaces using Van der Waals pair potential?
The Distance between the surfaces using Van der Waals pair potential is the length of the line segment between the 2 surfaces is calculated using distance_between_the_surfaces = (-Coefficient of particle–particle pair interaction/Van der Waals pair potential)^(1/6). To calculate Distance between the surfaces using Van der Waals pair potential, you need Coefficient of particle–particle pair interaction (C) and Van der Waals pair potential (ω(r)). With our tool, you need to enter the respective value for Coefficient of particle–particle pair interaction and Van der Waals pair potential 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 Distance between the surfaces?
In this formula, Distance between the surfaces uses Coefficient of particle–particle pair interaction and Van der Waals pair potential. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • distance_between_the_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)
  • distance_between_the_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))
  • distance_between_the_surfaces = Center-to-center distance-Radius of Spherical Body 1-Radius of Spherical Body 2
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