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

GoRepulsive Interaction Constant Formula

GoRepulsive Interaction Constant using Total Energy of Ion Formula

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

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

B - Repulsive Interaction Constant?E_total - Total Energy of Ion?E_M - Madelung Energy?r₀ - Distance of Closest Approach?n_born - Born Exponent?

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

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Here is how the Repulsive Interaction Constant given Total Energy of Ion and Madelung Energy equation looks like with Values.

Here is how the Repulsive Interaction Constant given Total Energy of Ion and Madelung Energy equation looks like with Units.

Here is how the Repulsive Interaction Constant given Total Energy of Ion and Madelung Energy equation looks like.

39964.2342 = (5.8E+12 - (-5.9E-21)) \cdot (60^{0.9926})

39964.2342 = (5.8E+12J - (-5.9E-21J)) \cdot ({60A}^{0.9926})

39964.2342 = (5.8E+12 - (-5.9E-21)) \cdot (60^{0.9926})

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

Follow our step by step solution on how to calculate Repulsive Interaction Constant given Total Energy of Ion and Madelung Energy?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B = (5.8E+12J - (-5.9E-21J)) \cdot ({60A}^{0.9926})

Next Step Convert Units

∴

B = (5.8E+12J - (-5.9E-21J)) \cdot ({6E-9m}^{0.9926})

Next Step Prepare to Evaluate

∴

B = (5.8E+12 - (-5.9E-21)) \cdot ({6E-9}^{0.9926})

Next Step Evaluate

∴

B = 39964.2341522917

LAST Step Rounding Answer

∴

B = 39964.2342

Repulsive Interaction Constant given Total Energy of Ion and Madelung Energy 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

Total Energy of Ion

The Total Energy of Ion in the lattice is the sum of Madelung Energy and Repulsive potential energy.

Symbol: E_total

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Total Energy of Ion

Madelung Energy

The Madelung Energy for a simple lattice consisting ions with equal and opposite charge in a 1:1 ratio is the sum of interactions between one ion and all other lattice ions.

Symbol: E_M

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Madelung Energy

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

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

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})

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 given Total Energy of Ion and Madelung Energy?

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

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

FAQs on Repulsive Interaction Constant given Total Energy of Ion and Madelung Energy

What is the formula to find Repulsive Interaction Constant given Total Energy of Ion and Madelung Energy?

The formula of Repulsive Interaction Constant given Total Energy of Ion and Madelung Energy is expressed as Repulsive Interaction Constant = (Total Energy of Ion-(Madelung Energy))*(Distance of Closest Approach^Born Exponent). Here is an example- 39964.23 = (5790000000000-((-5.9E-21)))*(6E-09^0.9926).

How to calculate Repulsive Interaction Constant given Total Energy of Ion and Madelung Energy?

With Total Energy of Ion (E_total), Madelung Energy (E_M), Distance of Closest Approach (r₀) & Born Exponent (n_born) we can find Repulsive Interaction Constant given Total Energy of Ion and Madelung Energy using the formula - Repulsive Interaction Constant = (Total Energy of Ion-(Madelung Energy))*(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=Repulsive Interaction*(Distance of Closest Approach^Born Exponent)
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)

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

​GoRepulsive Interaction Constant Formula

​GoRepulsive Interaction Constant using Total Energy of Ion Formula

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

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

Repulsive Interaction Constant given Total Energy of Ion and Madelung Energy Formula Elements

Other Formulas to find Repulsive Interaction Constant

Other formulas in Lattice Energy category

How to Evaluate Repulsive Interaction Constant given Total Energy of Ion and Madelung Energy?

FAQs on Repulsive Interaction Constant given Total Energy of Ion and Madelung Energy

Variable Name

GoRepulsive Interaction Constant Formula

GoRepulsive Interaction Constant using Total Energy of Ion Formula