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Distance between Surfaces given Van Der Waals Force between Two Spheres Formula

GoDistance between Surfaces given Potential Energy in Limit of Close-Approach Formula

GoDistance between Surfaces given Center-to-Center Distance Formula

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Distance between surfaces is the length of the line segment between the 2 surfaces. Check FAQs

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

r - Distance Between Surfaces?A - Hamaker Coefficient?R₁ - Radius of Spherical Body 1?R₂ - Radius of Spherical Body 2?PE - Potential Energy?

Distance between Surfaces given Van Der Waals Force between Two Spheres Example

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Here is how the Distance between Surfaces given Van Der Waals Force between Two Spheres equation looks like with Values.

Here is how the Distance between Surfaces given Van Der Waals Force between Two Spheres equation looks like with Units.

Here is how the Distance between Surfaces given Van Der Waals Force between Two Spheres equation looks like.

527046.2767 = \sqrt{\frac{100 \cdot 12 \cdot 15}{(12 + 15) \cdot 6 \cdot 4}}

527046.2767A = \sqrt{\frac{100J \cdot 12A \cdot 15A}{(12A + 15A) \cdot 6 \cdot 4J}}

527046.2767 = \sqrt{\frac{100 \cdot 12 \cdot 15}{(12 + 15) \cdot 6 \cdot 4}}

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Distance between Surfaces given Van Der Waals Force between Two Spheres Solution

Follow our step by step solution on how to calculate Distance between Surfaces given Van Der Waals Force between Two Spheres?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = \sqrt{\frac{100J \cdot 12A \cdot 15A}{(12A + 15A) \cdot 6 \cdot 4J}}

Next Step Convert Units

∴

r = \sqrt{\frac{100J \cdot 1.2E-9m \cdot 1.5E-9m}{(1.2E-9m + 1.5E-9m) \cdot 6 \cdot 4J}}

Next Step Prepare to Evaluate

∴

r = \sqrt{\frac{100 \cdot 1.2E-9 \cdot 1.5E-9}{(1.2E-9 + 1.5E-9) \cdot 6 \cdot 4}}

Next Step Evaluate

∴

r = 5.2704627669473E-05m

Next Step Convert to Output's Unit

∴

r = 527046.27669473A

LAST Step Rounding Answer

∴

r = 527046.2767A

Distance between Surfaces given Van Der Waals Force between Two Spheres Formula Elements

Variables

Functions

Distance Between Surfaces

Distance between surfaces is the length of the line segment between the 2 surfaces.

Symbol: r

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Distance Between Surfaces

Hamaker Coefficient

Hamaker coefficient A can be defined for a Van der Waals body–body interaction.

Symbol: A

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Hamaker Coefficient

Radius of Spherical Body 1

Radius of Spherical Body 1 represented as R1.

Symbol: R₁

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Radius of Spherical Body 1

Radius of Spherical Body 2

Radius of Spherical Body 2 represented as R1.

Symbol: R₂

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Radius of Spherical Body 2

Potential Energy

Potential Energy is the energy that is stored in an object due to its position relative to some zero position.

Symbol: PE

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Potential Energy

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Distance Between Surfaces

Go Distance between Surfaces given Potential Energy in Limit of Close-Approach

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

Go Distance between Surfaces given Center-to-Center Distance

r = z - R 1 - R 2

Go Distance between Surfaces given Van Der Waals Pair Potential

r = {(\frac{0 - C}{ω r})}^{\frac{1}{6}}

Other formulas in Van der Waals Force category

Go Van der Waals Interaction Energy between Two Spherical Bodies

U VWaals = (- (\frac{A}{6})) \cdot ((\frac{2 \cdot R 1 \cdot R 2}{(z^{2}) - ({(R 1 + R 2)}^{2})}) + (\frac{2 \cdot R 1 \cdot R 2}{(z^{2}) - ({(R 1 - R 2)}^{2})}) + \ln (\frac{(z^{2}) - ({(R 1 + R 2)}^{2})}{(z^{2}) - ({(R 1 - R 2)}^{2})}))

Go Potential Energy in Limit of Closest-Approach

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

Go Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach

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

Go Radius of Spherical Body 2 given Potential Energy in Limit of Closest-Approach

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

How to Evaluate Distance between Surfaces given Van Der Waals Force between Two Spheres?

Distance between Surfaces given Van Der Waals Force between Two Spheres evaluator uses 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)) to evaluate the Distance Between Surfaces, The Distance between surfaces given Van der Waals force between two spheres is the length of the line segment between the 2 surfaces. Distance Between Surfaces is denoted by r symbol.

How to evaluate Distance between Surfaces given Van Der Waals Force between Two Spheres using this online evaluator? To use this online evaluator for Distance between Surfaces given Van Der Waals Force between Two Spheres, enter Hamaker Coefficient (A), Radius of Spherical Body 1 (R₁), Radius of Spherical Body 2 (R₂) & Potential Energy (PE) and hit the calculate button.

FAQs on Distance between Surfaces given Van Der Waals Force between Two Spheres

What is the formula to find Distance between Surfaces given Van Der Waals Force between Two Spheres?

The formula of Distance between Surfaces given Van Der Waals Force between Two Spheres is expressed as 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)). Here is an example- 5.3E+15 = sqrt((100*1.2E-09*1.5E-09)/((1.2E-09+1.5E-09)*6*4)).

How to calculate Distance between Surfaces given Van Der Waals Force between Two Spheres?

With Hamaker Coefficient (A), Radius of Spherical Body 1 (R₁), Radius of Spherical Body 2 (R₂) & Potential Energy (PE) we can find Distance between Surfaces given Van Der Waals Force between Two Spheres using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Distance Between Surfaces?

Here are the different ways to Calculate Distance Between Surfaces-

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)
Distance Between Surfaces=Center-to-center Distance-Radius of Spherical Body 1-Radius of Spherical Body 2
Distance Between Surfaces=((0-Coefficient of Particle–Particle Pair Interaction)/Van der Waals pair potential)^(1/6)

Can the Distance between Surfaces given Van Der Waals Force between Two Spheres be negative?

Yes, the Distance between Surfaces given Van Der Waals Force between Two Spheres, measured in Length can be negative.

Which unit is used to measure Distance between Surfaces given Van Der Waals Force between Two Spheres?

Distance between Surfaces given Van Der Waals Force between Two Spheres is usually measured using the Angstrom[A] for Length. Meter[A], Millimeter[A], Kilometer[A] are the few other units in which Distance between Surfaces given Van Der Waals Force between Two Spheres can be measured.

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Distance between Surfaces given Van Der Waals Force between Two Spheres Formula

​GoDistance between Surfaces given Potential Energy in Limit of Close-Approach Formula

​GoDistance between Surfaces given Center-to-Center Distance Formula

Distance between Surfaces given Van Der Waals Force between Two Spheres Example

Distance between Surfaces given Van Der Waals Force between Two Spheres Solution

Distance between Surfaces given Van Der Waals Force between Two Spheres Formula Elements

Other Formulas to find Distance Between Surfaces

Other formulas in Van der Waals Force category

How to Evaluate Distance between Surfaces given Van Der Waals Force between Two Spheres?

FAQs on Distance between Surfaces given Van Der Waals Force between Two Spheres

Variable Name

GoDistance between Surfaces given Potential Energy in Limit of Close-Approach Formula

GoDistance between Surfaces given Center-to-Center Distance Formula