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Repulsive Interaction Formula

GoRepulsive Interaction using Total Energy of Ion Formula

GoRepulsive Interaction using Total Energy of ion given charges and distances Formula

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The Repulsive Interaction is between atoms acts over a very short range, but is very large when distances are short. Check FAQs

E R = \frac{B}{{r 0}^{n born}}

E_R - Repulsive Interaction?B - Repulsive Interaction Constant?r₀ - Distance of Closest Approach?n_born - Born Exponent?

Repulsive Interaction Example

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Here is how the Repulsive Interaction equation looks like with Values.

Here is how the Repulsive Interaction equation looks like with Units.

Here is how the Repulsive Interaction equation looks like.

5.8E+12 = \frac{40000}{60^{0.9926}}

5.8E+12J = \frac{40000}{{60A}^{0.9926}}

5.8E+12 = \frac{40000}{60^{0.9926}}

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Repulsive Interaction Solution

Follow our step by step solution on how to calculate Repulsive Interaction?

FIRST Step Consider the formula

E R = \frac{B}{{r 0}^{n born}}

Next Step Substitute values of Variables

∴

E R = \frac{40000}{{60A}^{0.9926}}

Next Step Convert Units

∴

E R = \frac{40000}{{6E-9m}^{0.9926}}

Next Step Prepare to Evaluate

∴

E R = \frac{40000}{{6E-9}^{0.9926}}

Next Step Evaluate

∴

E R = 5795181739688.58J

LAST Step Rounding Answer

∴

E R = 5.8E+12J

Repulsive Interaction Formula Elements

Variables

Repulsive Interaction

The Repulsive Interaction is between atoms acts over a very short range, but is very large when distances are short.

Symbol: E_R

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Repulsive Interaction

Repulsive Interaction Constant

The Repulsive Interaction Constant is the constant scaling the strength of the repulsive interaction.

Symbol: B

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Repulsive Interaction Constant

Distance of Closest Approach

Distance of Closest Approach is the distance to which an alpha particle comes closer to the nucleus.

Symbol: r₀

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Distance of Closest Approach

Born Exponent

The Born Exponent is a number between 5 and 12, determined experimentally by measuring the compressibility of the solid, or derived theoretically.

Symbol: n_born

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Born Exponent

Other Formulas to find Repulsive Interaction

Go Repulsive Interaction using Total Energy of Ion

E R = E total - (E M)

Go Repulsive Interaction using Total Energy of ion given charges and distances

E R = E total - \frac{- (q^{2}) \cdot ({[Charge-e]}^{2}) \cdot M}{4 \cdot π \cdot [Permitivity-vacuum] \cdot r 0}

Other formulas in Lattice Energy category

Go Lattice Energy using Born Lande Equation

U = - \frac{[Avaga-no] \cdot M \cdot z + \cdot z - \cdot ({[Charge-e]}^{2}) \cdot (1 - (\frac{1}{n born}))}{4 \cdot π \cdot [Permitivity-vacuum] \cdot r 0}

Go Born Exponent using Born Lande Equation

n born = \frac{1}{1 - \frac{- U \cdot 4 \cdot π \cdot [Permitivity-vacuum] \cdot r 0}{[Avaga-no] \cdot M \cdot ({[Charge-e]}^{2}) \cdot z + \cdot z -}}

Go Electrostatic Potential Energy between pair of Ions

E Pair = \frac{- (q^{2}) \cdot ({[Charge-e]}^{2})}{4 \cdot π \cdot [Permitivity-vacuum] \cdot r 0}

Go Repulsive Interaction Constant

B = E R \cdot ({r 0}^{n born})

How to Evaluate Repulsive Interaction?

Repulsive Interaction evaluator uses Repulsive Interaction = Repulsive Interaction Constant/(Distance of Closest Approach^Born Exponent) to evaluate the Repulsive Interaction, The Repulsive Interaction is between atoms acts over a very short range, but is very large when distances are short. Repulsive Interaction is denoted by E_R symbol.

How to evaluate Repulsive Interaction using this online evaluator? To use this online evaluator for Repulsive Interaction, enter Repulsive Interaction Constant (B), Distance of Closest Approach (r₀) & Born Exponent (n_born) and hit the calculate button.

FAQs on Repulsive Interaction

What is the formula to find Repulsive Interaction?

The formula of Repulsive Interaction is expressed as Repulsive Interaction = Repulsive Interaction Constant/(Distance of Closest Approach^Born Exponent). Here is an example- 5.8E+12 = 40000/(6E-09^0.9926).

How to calculate Repulsive Interaction?

With Repulsive Interaction Constant (B), Distance of Closest Approach (r₀) & Born Exponent (n_born) we can find Repulsive Interaction using the formula - Repulsive Interaction = Repulsive Interaction Constant/(Distance of Closest Approach^Born Exponent).

What are the other ways to Calculate Repulsive Interaction?

Here are the different ways to Calculate Repulsive Interaction-

Repulsive Interaction=Total Energy of Ion-(Madelung Energy)
Repulsive Interaction=Total Energy of Ion-(-(Charge^2)*([Charge-e]^2)*Madelung Constant)/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach)

Can the Repulsive Interaction be negative?

Yes, the Repulsive Interaction, measured in Energy can be negative.

Which unit is used to measure Repulsive Interaction?

Repulsive Interaction is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Repulsive Interaction can be measured.

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Repulsive Interaction Formula

​GoRepulsive Interaction using Total Energy of Ion Formula

​GoRepulsive Interaction using Total Energy of ion given charges and distances Formula

Repulsive Interaction Example

Repulsive Interaction Solution

Repulsive Interaction Formula Elements

Other Formulas to find Repulsive Interaction

Other formulas in Lattice Energy category

How to Evaluate Repulsive Interaction?

FAQs on Repulsive Interaction

Variable Name

GoRepulsive Interaction using Total Energy of Ion Formula

GoRepulsive Interaction using Total Energy of ion given charges and distances Formula