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Repulsive Interaction using Total Energy of Ion Calculator

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Ionic Bonding Covalent Bonding Electronegativity

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Lattice Energy

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Distance of Closest Approach Madelung Constant

✖The Total Energy of Ion in the lattice is the sum of Madelung Energy and Repulsive potential energy.ⓘ Total Energy of Ion [E_total]			+10% -10%
✖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.ⓘ Madelung Energy [E_M]			+10% -10%

✖The Repulsive Interaction is between atoms acts over a very short range, but is very large when distances are short.ⓘ Repulsive Interaction using Total Energy of Ion [E_R]

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Repulsive Interaction using Total Energy of Ion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Repulsive Interaction = Total Energy of Ion-(Madelung Energy)
E_R = E_total-(E_M)
This formula uses 3 Variables

Variables Used

Repulsive Interaction - (Measured in Joule) - The Repulsive Interaction is between atoms acts over a very short range, but is very large when distances are short.
Total Energy of Ion - (Measured in Joule) - The Total Energy of Ion in the lattice is the sum of Madelung Energy and Repulsive potential energy.
Madelung Energy - (Measured in Joule) - 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.

STEP 1: Convert Input(s) to Base Unit

Total Energy of Ion: 5790000000000 Joule --> 5790000000000 Joule No Conversion Required
Madelung Energy: -5.9E-21 Joule --> -5.9E-21 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_R = E_total-(E_M) --> 5790000000000-((-5.9E-21))

Evaluating ... ...

E_R = 5790000000000

STEP 3: Convert Result to Output's Unit

5790000000000 Joule --> No Conversion Required

FINAL ANSWER

5790000000000 ≈ 5.8E+12 Joule <-- Repulsive Interaction

(Calculation completed in 00.004 seconds)

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Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< Lattice Energy Calculators

Lattice Energy using Born Lande Equation

LaTeX Go Lattice Energy = -([Avaga-no]*Madelung Constant*Charge of Cation*Charge of Anion*([Charge-e]^2)*(1-(1/Born Exponent)))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach)

Born Exponent using Born Lande Equation

LaTeX Go Born Exponent = 1/(1-(-Lattice Energy*4*pi*[Permitivity-vacuum]*Distance of Closest Approach)/([Avaga-no]*Madelung Constant*([Charge-e]^2)*Charge of Cation*Charge of Anion))

Electrostatic Potential Energy between pair of Ions

LaTeX Go Electrostatic Potential Energy between Ion Pair = (-(Charge^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach)

Repulsive Interaction

LaTeX Go Repulsive Interaction = Repulsive Interaction Constant/(Distance of Closest Approach^Born Exponent)

Repulsive Interaction using Total Energy of Ion Formula

LaTeX Go

Repulsive Interaction = Total Energy of Ion-(Madelung Energy)
E_R = E_total-(E_M)

What is Born–Landé equation?

The Born–Landé equation is a means of calculating the lattice energy of a crystalline ionic compound. In 1918 Max Born and Alfred Landé proposed that the lattice energy could be derived from the electrostatic potential of the ionic lattice and a repulsive potential energy term. The ionic lattice is modeled as an assembly of hard elastic spheres which are compressed together by the mutual attraction of the electrostatic charges on the ions. They achieve the observed equilibrium distance apart due to a balancing short range repulsion.

How to Calculate Repulsive Interaction using Total Energy of Ion?

Repulsive Interaction using Total Energy of Ion calculator uses Repulsive Interaction = Total Energy of Ion-(Madelung Energy) to calculate the Repulsive Interaction, The Repulsive Interaction using Total Energy of Ion 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 calculate Repulsive Interaction using Total Energy of Ion using this online calculator? To use this online calculator for Repulsive Interaction using Total Energy of Ion, enter Total Energy of Ion (E_total) & Madelung Energy (E_M) and hit the calculate button. Here is how the Repulsive Interaction using Total Energy of Ion calculation can be explained with given input values -> 5.8E+12 = 5790000000000-((-5.9E-21)).

FAQ

What is Repulsive Interaction using Total Energy of Ion?

The Repulsive Interaction using Total Energy of Ion is between atoms acts over a very short range, but is very large when distances are short and is represented as E_R = E_total-(E_M) or Repulsive Interaction = Total Energy of Ion-(Madelung Energy). The Total Energy of Ion in the lattice is the sum of Madelung Energy and Repulsive potential 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.

How to calculate Repulsive Interaction using Total Energy of Ion?

The Repulsive Interaction using Total Energy of Ion is between atoms acts over a very short range, but is very large when distances are short is calculated using Repulsive Interaction = Total Energy of Ion-(Madelung Energy). To calculate Repulsive Interaction using Total Energy of Ion, you need Total Energy of Ion (E_total) & Madelung Energy (E_M). With our tool, you need to enter the respective value for Total Energy of Ion & Madelung Energy and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Repulsive Interaction?

In this formula, Repulsive Interaction uses Total Energy of Ion & Madelung Energy. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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