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Repulsive Interaction Constant Formula

GoRepulsive Interaction Constant using Total Energy of Ion Formula

GoRepulsive Interaction Constant given Total Energy of Ion and Madelung Energy Formula

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

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

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

Repulsive Interaction Constant Example

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

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

Here is how the Repulsive Interaction Constant equation looks like.

40033.257 = 5.8E+12 \cdot (60^{0.9926})

40033.257 = 5.8E+12J \cdot ({60A}^{0.9926})

40033.257 = 5.8E+12 \cdot (60^{0.9926})

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Repulsive Interaction Constant Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B = 5.8E+12J \cdot ({60A}^{0.9926})

Next Step Convert Units

∴

B = 5.8E+12J \cdot ({6E-9m}^{0.9926})

Next Step Prepare to Evaluate

∴

B = 5.8E+12 \cdot ({6E-9}^{0.9926})

Next Step Evaluate

∴

B = 40033.2570092042

LAST Step Rounding Answer

∴

B = 40033.257

Repulsive Interaction Constant Formula Elements

Variables

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

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

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 Constant

Go Repulsive Interaction Constant using Total Energy of Ion

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

Go Repulsive Interaction Constant given Total Energy of Ion and Madelung Energy

B = (E total - (E M)) \cdot ({r 0}^{n born})

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

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

How to Evaluate Repulsive Interaction Constant?

Repulsive Interaction Constant evaluator uses Repulsive Interaction Constant = Repulsive Interaction*(Distance of Closest Approach^Born Exponent) to evaluate the Repulsive Interaction Constant, The Repulsive Interaction Constant is the constant scaling the strength of the repulsive interaction. Repulsive Interaction Constant is denoted by B symbol.

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

FAQs on Repulsive Interaction Constant

What is the formula to find Repulsive Interaction Constant?

The formula of Repulsive Interaction Constant is expressed as Repulsive Interaction Constant = Repulsive Interaction*(Distance of Closest Approach^Born Exponent). Here is an example- 40033.26 = 5800000000000*(6E-09^0.9926).

How to calculate Repulsive Interaction Constant?

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

What are the other ways to Calculate Repulsive Interaction Constant?

Here are the different ways to Calculate Repulsive Interaction Constant-

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

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Repulsive Interaction Constant Formula

​GoRepulsive Interaction Constant using Total Energy of Ion Formula

​GoRepulsive Interaction Constant given Total Energy of Ion and Madelung Energy Formula

Repulsive Interaction Constant Example

Repulsive Interaction Constant Solution

Repulsive Interaction Constant Formula Elements

Other Formulas to find Repulsive Interaction Constant

Other formulas in Lattice Energy category

How to Evaluate Repulsive Interaction Constant?

FAQs on Repulsive Interaction Constant

Variable Name

GoRepulsive Interaction Constant using Total Energy of Ion Formula

GoRepulsive Interaction Constant given Total Energy of Ion and Madelung Energy Formula