Madelung Constant using Kapustinskii Approximation Calculator

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Madelung Constant

Distance of Closest Approach

✖The Number of Ions is the number of ions formed from one formula unit of the substance.ⓘ Number of Ions [N_ions]

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✖The Madelung constant is used in determining the electrostatic potential of a single ion in a crystal by approximating the ions by point charges.ⓘ Madelung Constant using Kapustinskii Approximation [M]

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Formula

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Madelung Constant using Kapustinskii Approximation

Formula

`"M" = 0.88*"N"_{"ions"}`

Example

`"1.76"=0.88*"2"`

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Madelung Constant using Kapustinskii Approximation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Madelung Constant = 0.88*Number of Ions
M = 0.88*N_ions
This formula uses 2 Variables

Variables Used

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.
Number of Ions - The Number of Ions is the number of ions formed from one formula unit of the substance.

STEP 1: Convert Input(s) to Base Unit

Number of Ions: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = 0.88*N_ions --> 0.88*2

Evaluating ... ...

M = 1.76

STEP 3: Convert Result to Output's Unit

1.76 --> No Conversion Required

FINAL ANSWER

1.76 <-- Madelung 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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K J Somaiya College of science (K J Somaiya), Mumbai

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< 10+ Madelung Constant Calculators

Madelung Constant using Born-Mayer equation

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

Madelung Constant using Total Energy of Ion

Go Madelung Constant = ((Total energy of Ion in an Ionic Crystal-(Repulsive Interaction Constant given M/(Distance of Closest Approach^Born Exponent)))*4*pi*[Permitivity-vacuum]*Distance of Closest Approach)/(-(Charge^2)*([Charge-e]^2))

Madelung Constant using Born Lande Equation

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

Madelung Constant given Repulsive Interaction Constant

Go Madelung Constant = (Repulsive Interaction Constant given M*4*pi*[Permitivity-vacuum]*Born Exponent)/((Charge^2)*([Charge-e]^2)*(Distance of Closest Approach^(Born Exponent-1)))

Madelung Constant using Total Energy of Ion given Repulsive Interaction

Go Madelung Constant = ((Total energy of Ion in an Ionic Crystal-Repulsive Interaction between Ions)*4*pi*[Permitivity-vacuum]*Distance of Closest Approach)/(-(Charge^2)*([Charge-e]^2))

Madelung Constant using Madelung Energy

Go Madelung Constant = (-(Madelung Energy)*4*pi*[Permitivity-vacuum]*Distance of Closest Approach)/((Charge^2)*([Charge-e]^2))

Madelung Energy

Go Madelung Energy = -(Madelung Constant*(Charge^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach)

Madelung Energy using Total Energy of Ion given Distance

Go Madelung Energy = Total energy of Ion in an Ionic Crystal-(Repulsive Interaction Constant given M/(Distance of Closest Approach^Born Exponent))

Madelung Energy using Total Energy of Ion

Go Madelung Energy = Total energy of Ion in an Ionic Crystal-Repulsive Interaction between Ions

Madelung Constant using Kapustinskii Approximation

Go Madelung Constant = 0.88*Number of Ions

Madelung Constant using Kapustinskii Approximation Formula

Madelung Constant = 0.88*Number of Ions
M = 0.88*N_ions

What is 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. It is named after Erwin Madelung, a German physicist.
Because the anions and cations in an ionic solid attract each other by virtue of their opposing charges, separating the ions requires a certain amount of energy. This energy must be given to the system in order to break the anion–cation bonds. The energy required to break these bonds for one mole of an ionic solid under standard conditions is the lattice energy.

How to Calculate Madelung Constant using Kapustinskii Approximation?

Madelung Constant using Kapustinskii Approximation calculator uses Madelung Constant = 0.88*Number of Ions to calculate the Madelung Constant, The Madelung constant using Kapustinskii approximation was approximately 0.88 times the number of ions in the empirical formula. Madelung Constant is denoted by M symbol.

How to calculate Madelung Constant using Kapustinskii Approximation using this online calculator? To use this online calculator for Madelung Constant using Kapustinskii Approximation, enter Number of Ions (N_ions) and hit the calculate button. Here is how the Madelung Constant using Kapustinskii Approximation calculation can be explained with given input values -> 1.76 = 0.88*2.

FAQ

What is Madelung Constant using Kapustinskii Approximation?

The Madelung constant using Kapustinskii approximation was approximately 0.88 times the number of ions in the empirical formula and is represented as M = 0.88*N_ions or Madelung Constant = 0.88*Number of Ions. The Number of Ions is the number of ions formed from one formula unit of the substance.

How to calculate Madelung Constant using Kapustinskii Approximation?

The Madelung constant using Kapustinskii approximation was approximately 0.88 times the number of ions in the empirical formula is calculated using Madelung Constant = 0.88*Number of Ions. To calculate Madelung Constant using Kapustinskii Approximation, you need Number of Ions (N_ions). With our tool, you need to enter the respective value for Number of Ions 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 Madelung Constant?

In this formula, Madelung Constant uses Number of Ions. We can use 6 other way(s) to calculate the same, which is/are as follows -

Madelung Constant = (Repulsive Interaction Constant given M*4*pi*[Permitivity-vacuum]*Born Exponent)/((Charge^2)*([Charge-e]^2)*(Distance of Closest Approach^(Born Exponent-1)))
Madelung Constant = (-Lattice Energy*4*pi*[Permitivity-vacuum]*Distance of Closest Approach)/((1-(1/Born Exponent))*([Charge-e]^2)*[Avaga-no]*Charge of Cation*Charge of Anion)
Madelung Constant = (-Lattice Energy*4*pi*[Permitivity-vacuum]*Distance of Closest Approach)/([Avaga-no]*Charge of Cation*Charge of Anion*([Charge-e]^2)*(1-(Constant Depending on Compressibility/Distance of Closest Approach)))
Madelung Constant = (-(Madelung Energy)*4*pi*[Permitivity-vacuum]*Distance of Closest Approach)/((Charge^2)*([Charge-e]^2))
Madelung Constant = ((Total energy of Ion in an Ionic Crystal-(Repulsive Interaction Constant given M/(Distance of Closest Approach^Born Exponent)))*4*pi*[Permitivity-vacuum]*Distance of Closest Approach)/(-(Charge^2)*([Charge-e]^2))
Madelung Constant = ((Total energy of Ion in an Ionic Crystal-Repulsive Interaction between Ions)*4*pi*[Permitivity-vacuum]*Distance of Closest Approach)/(-(Charge^2)*([Charge-e]^2))

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