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Repulsive Interaction Constant Calculator

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Distance of Closest Approach Madelung Constant

✖The Repulsive Interaction is between atoms acts over a very short range, but is very large when distances are short.ⓘ Repulsive Interaction [E_R]			+10% -10%
✖Distance of Closest Approach is the distance to which an alpha particle comes closer to the nucleus.ⓘ Distance of Closest Approach [r₀]			+10% -10%
✖The Born Exponent is a number between 5 and 12, determined experimentally by measuring the compressibility of the solid, or derived theoretically.ⓘ Born Exponent [n_born]			+10% -10%

✖The Repulsive Interaction Constant is the constant scaling the strength of the repulsive interaction.ⓘ Repulsive Interaction Constant [B]

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Repulsive Interaction Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Repulsive Interaction Constant = Repulsive Interaction*(Distance of Closest Approach^Born Exponent)
B = E_R*(r₀^n_born)
This formula uses 4 Variables

Variables Used

Repulsive Interaction Constant - The Repulsive Interaction Constant is the constant scaling the strength of the repulsive interaction.
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.
Distance of Closest Approach - (Measured in Meter) - Distance of Closest Approach is the distance to which an alpha particle comes closer to the nucleus.
Born Exponent - The Born Exponent is a number between 5 and 12, determined experimentally by measuring the compressibility of the solid, or derived theoretically.

STEP 1: Convert Input(s) to Base Unit

Repulsive Interaction: 5800000000000 Joule --> 5800000000000 Joule No Conversion Required
Distance of Closest Approach: 60 Angstrom --> 6E-09 Meter (Check conversion here)
Born Exponent: 0.9926 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = E_R*(r₀^n_born) --> 5800000000000*(6E-09^0.9926)

Evaluating ... ...

B = 40033.2570092042

STEP 3: Convert Result to Output's Unit

40033.2570092042 --> No Conversion Required

FINAL ANSWER

40033.2570092042 ≈ 40033.26 <-- Repulsive Interaction Constant

(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 Constant Formula

LaTeX Go

Repulsive Interaction Constant = Repulsive Interaction*(Distance of Closest Approach^Born Exponent)
B = E_R*(r₀^n_born)

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 Constant?

Repulsive Interaction Constant calculator uses Repulsive Interaction Constant = Repulsive Interaction*(Distance of Closest Approach^Born Exponent) to calculate 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 calculate Repulsive Interaction Constant using this online calculator? To use this online calculator for Repulsive Interaction Constant, enter Repulsive Interaction (E_R), Distance of Closest Approach (r₀) & Born Exponent (n_born) and hit the calculate button. Here is how the Repulsive Interaction Constant calculation can be explained with given input values -> 40033.26 = 5800000000000*(6E-09^0.9926).

FAQ

What is Repulsive Interaction Constant?

The Repulsive Interaction Constant is the constant scaling the strength of the repulsive interaction and is represented as B = E_R*(r₀^n_born) or Repulsive Interaction Constant = Repulsive Interaction*(Distance of Closest Approach^Born Exponent). The Repulsive Interaction is between atoms acts over a very short range, but is very large when distances are short, Distance of Closest Approach is the distance to which an alpha particle comes closer to the nucleus & The Born Exponent is a number between 5 and 12, determined experimentally by measuring the compressibility of the solid, or derived theoretically.

How to calculate Repulsive Interaction Constant?

The Repulsive Interaction Constant is the constant scaling the strength of the repulsive interaction is calculated using Repulsive Interaction Constant = Repulsive Interaction*(Distance of Closest Approach^Born Exponent). To calculate Repulsive Interaction Constant, you need Repulsive Interaction (E_R), Distance of Closest Approach (r₀) & Born Exponent (n_born). With our tool, you need to enter the respective value for Repulsive Interaction, Distance of Closest Approach & Born Exponent 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 Constant?

In this formula, Repulsive Interaction Constant uses Repulsive Interaction, Distance of Closest Approach & Born Exponent. We can use 2 other way(s) to calculate the same, which is/are as follows -

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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