Potential Energy in Limit of Closest-Approach Calculator

✖Hamaker coefficient A can be defined for a Van der Waals body–body interaction.ⓘ Hamaker Coefficient [A]			+10% -10%
✖Radius of Spherical Body 1 represented as R1.ⓘ Radius of Spherical Body 1 [R₁]			+10% -10%
✖Radius of Spherical Body 2 represented as R1.ⓘ Radius of Spherical Body 2 [R₂]			+10% -10%
✖Distance between surfaces is the length of the line segment between the 2 surfaces.ⓘ Distance Between Surfaces [r]			+10% -10%

✖Potential Energy In Limit is the energy that is stored in an object due to its position relative to some zero position.ⓘ Potential Energy in Limit of Closest-Approach [PE _Limit]

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Formula

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Potential Energy in Limit of Closest-Approach

Formula

PE Limit = \frac{- A \cdot R 1 \cdot R 2}{(R 1 + R 2) \cdot 6 \cdot r}

Example

-11.111111 = \frac{- 100 J \cdot 12 A \cdot 15 A}{(12 A + 15 A) \cdot 6 \cdot 10 A}

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Potential Energy in Limit of Closest-Approach Solution

STEP 0: Pre-Calculation Summary

Formula Used

Potential Energy In Limit = (-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)
PE _Limit = (-A*R₁*R₂)/((R₁+R₂)*6*r)
This formula uses 5 Variables

Variables Used

Potential Energy In Limit - Potential Energy In Limit is the energy that is stored in an object due to its position relative to some zero position.
Hamaker Coefficient - (Measured in Joule) - Hamaker coefficient A can be defined for a Van der Waals body–body interaction.
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

Hamaker Coefficient: 100 Joule --> 100 Joule 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

PE _Limit = (-A*R₁*R₂)/((R₁+R₂)*6*r) --> (-100*1.2E-09*1.5E-09)/((1.2E-09+1.5E-09)*6*1E-09)

Evaluating ... ...

PE _Limit = -11.1111111111111

STEP 3: Convert Result to Output's Unit

-11.1111111111111 --> No Conversion Required

FINAL ANSWER

-11.1111111111111 ≈ -11.111111 <-- Potential Energy In Limit

(Calculation completed in 00.020 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Van der Waals Force » Potential Energy in Limit of Closest-Approach

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< 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))))

Potential Energy in Limit of Closest-Approach

Go Potential Energy In Limit = (-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)

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)

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))

Potential Energy in Limit of Closest-Approach Formula

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 Potential Energy in Limit of Closest-Approach?

Potential Energy in Limit of Closest-Approach calculator uses Potential Energy In Limit = (-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) to calculate the Potential Energy In Limit, The Potential Energy in limit of closest-approach formula is defined as is the energy that is stored in an object by virtue to its position. Potential Energy In Limit is denoted by PE _Limit symbol.

How to calculate Potential Energy in Limit of Closest-Approach using this online calculator? To use this online calculator for Potential Energy in Limit of Closest-Approach, enter Hamaker Coefficient (A), 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 Potential Energy in Limit of Closest-Approach calculation can be explained with given input values -> -11.111111 = (-100*1.2E-09*1.5E-09)/((1.2E-09+1.5E-09)*6*1E-09).

FAQ

What is Potential Energy in Limit of Closest-Approach?

The Potential Energy in limit of closest-approach formula is defined as is the energy that is stored in an object by virtue to its position and is represented as PE _Limit = (-A*R₁*R₂)/((R₁+R₂)*6*r) or Potential Energy In Limit = (-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). Hamaker coefficient A can be defined for a Van der Waals body–body interaction, 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 Potential Energy in Limit of Closest-Approach?

The Potential Energy in limit of closest-approach formula is defined as is the energy that is stored in an object by virtue to its position is calculated using Potential Energy In Limit = (-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). To calculate Potential Energy in Limit of Closest-Approach, you need Hamaker Coefficient (A), 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 Hamaker Coefficient, 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.

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