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

GoRepulsive Interaction Formula

GoRepulsive Interaction using Total Energy of Ion 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 = E total - \frac{- (q^{2}) \cdot ({[Charge-e]}^{2}) \cdot M}{4 \cdot π \cdot [Permitivity-vacuum] \cdot r 0}

E_R - Repulsive Interaction?E_total - Total Energy of Ion?q - Charge?M - Madelung Constant?r₀ - Distance of Closest Approach?[Charge-e] - Charge of electron?[Permitivity-vacuum] - Permittivity of vacuum?π - Archimedes' constant?

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

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Here is how the Repulsive Interaction using Total Energy of ion given charges and distances equation looks like with Values.

Here is how the Repulsive Interaction using Total Energy of ion given charges and distances equation looks like with Units.

Here is how the Repulsive Interaction using Total Energy of ion given charges and distances equation looks like.

5.8E+12 = 5.8E+12 - \frac{- ({0.3}^{2}) \cdot ({1.6E-19}^{2}) \cdot 1.7}{4 \cdot 3.1416 \cdot 8.9E-12 \cdot 60}

5.8E+12J = 5.8E+12J - \frac{- ({0.3C}^{2}) \cdot ({1.6E-19C}^{2}) \cdot 1.7}{4 \cdot 3.1416 \cdot 8.9E-12F/m \cdot 60A}

5.8E+12 = 5.8E+12 - \frac{- ({0.3}^{2}) \cdot ({1.6E-19}^{2}) \cdot 1.7}{4 \cdot 3.1416 \cdot 8.9E-12 \cdot 60}

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

Follow our step by step solution on how to calculate Repulsive Interaction using Total Energy of ion given charges and distances?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E R = 5.8E+12J - \frac{- ({0.3C}^{2}) \cdot ({[Charge-e]}^{2}) \cdot 1.7}{4 \cdot π \cdot [Permitivity-vacuum] \cdot 60A}

Next Step Substitute values of Constants

∴

E R = 5.8E+12J - \frac{- ({0.3C}^{2}) \cdot ({1.6E-19C}^{2}) \cdot 1.7}{4 \cdot 3.1416 \cdot 8.9E-12F/m \cdot 60A}

Next Step Convert Units

∴

E R = 5.8E+12J - \frac{- ({0.3C}^{2}) \cdot ({1.6E-19C}^{2}) \cdot 1.7}{4 \cdot 3.1416 \cdot 8.9E-12F/m \cdot 6E-9m}

Next Step Prepare to Evaluate

∴

E R = 5.8E+12 - \frac{- ({0.3}^{2}) \cdot ({1.6E-19}^{2}) \cdot 1.7}{4 \cdot 3.1416 \cdot 8.9E-12 \cdot 6E-9}

Next Step Evaluate

∴

E R = 5790000000000J

LAST Step Rounding Answer

∴

E R = 5.8E+12J

Repulsive Interaction using Total Energy of ion given charges and distances Formula Elements

Variables

Constants

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

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

Charge

A Charge is the fundamental property of forms of matter that exhibit electrostatic attraction or repulsion in the presence of other matter.

Symbol: q

Measurement: Electric ChargeUnit: C

Note: Value can be positive or negative.

Formulas to find Charge

Madelung Constant

The Madelung constant is used in determining the electrostatic potential of a single ion in a crystal by approximating the ions by point charges.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Madelung 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

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Permittivity of vacuum

Permittivity of vacuum is a fundamental physical constant that describes the ability of a vacuum to permit the transmission of electric field lines.

Symbol: [Permitivity-vacuum]

Value: 8.85E-12 F/m

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Repulsive Interaction

Go Repulsive Interaction

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

Go Repulsive Interaction using Total Energy of Ion

E R = E total - (E M)

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 using Total Energy of ion given charges and distances?

Repulsive Interaction using Total Energy of ion given charges and distances evaluator uses Repulsive Interaction = Total Energy of Ion-(-(Charge^2)*([Charge-e]^2)*Madelung Constant)/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach) to evaluate the Repulsive Interaction, The Repulsive Interaction using Total Energy of ion given charges and distances 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 Total Energy of ion given charges and distances using this online evaluator? To use this online evaluator for Repulsive Interaction using Total Energy of ion given charges and distances, enter Total Energy of Ion (E_total), Charge (q), Madelung Constant (M) & Distance of Closest Approach (r₀) and hit the calculate button.

FAQs on Repulsive Interaction using Total Energy of ion given charges and distances

What is the formula to find Repulsive Interaction using Total Energy of ion given charges and distances?

The formula of Repulsive Interaction using Total Energy of ion given charges and distances is expressed as Repulsive Interaction = Total Energy of Ion-(-(Charge^2)*([Charge-e]^2)*Madelung Constant)/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach). Here is an example- 5.8E+12 = 5790000000000-(-(0.3^2)*([Charge-e]^2)*1.7)/(4*pi*[Permitivity-vacuum]*6E-09).

How to calculate Repulsive Interaction using Total Energy of ion given charges and distances?

With Total Energy of Ion (E_total), Charge (q), Madelung Constant (M) & Distance of Closest Approach (r₀) we can find Repulsive Interaction using Total Energy of ion given charges and distances using the formula - Repulsive Interaction = Total Energy of Ion-(-(Charge^2)*([Charge-e]^2)*Madelung Constant)/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach). This formula also uses Charge of electron, Permittivity of vacuum, Archimedes' constant .

What are the other ways to Calculate Repulsive Interaction?

Here are the different ways to Calculate Repulsive Interaction-

Repulsive Interaction=Repulsive Interaction Constant/(Distance of Closest Approach^Born Exponent)
Repulsive Interaction=Total Energy of Ion-(Madelung Energy)

Can the Repulsive Interaction using Total Energy of ion given charges and distances be negative?

Yes, the Repulsive Interaction using Total Energy of ion given charges and distances, measured in Energy can be negative.

Which unit is used to measure Repulsive Interaction using Total Energy of ion given charges and distances?

Repulsive Interaction using Total Energy of ion given charges and distances is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Repulsive Interaction using Total Energy of ion given charges and distances can be measured.

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

​GoRepulsive Interaction Formula

​GoRepulsive Interaction using Total Energy of Ion Formula

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

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

Repulsive Interaction using Total Energy of ion given charges and distances Formula Elements

Other Formulas to find Repulsive Interaction

Other formulas in Lattice Energy category

How to Evaluate Repulsive Interaction using Total Energy of ion given charges and distances?

FAQs on Repulsive Interaction using Total Energy of ion given charges and distances

Variable Name

GoRepulsive Interaction Formula

GoRepulsive Interaction using Total Energy of Ion Formula