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Lattice Energy using Original Kapustinskii equation 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 Number of Ions is the number of ions formed from one formula unit of the substance.ⓘ Number of Ions [N_ions]			+10% -10%
✖The Charge of Cation is the positive charge over a cation with fewer electron than the respective atom.ⓘ Charge of Cation [z⁺]			+10% -10%
✖The Charge of Anion is the negative charge over an anion with more electron than the respective atom.ⓘ Charge of Anion [z^-]			+10% -10%
✖The Radius of Cation is the radius of the positively charged ion in the crystal structure.ⓘ Radius of Cation [R_c]			+10% -10%
✖The Radius of Anion is the radius of negatively charged ion in the crystal.ⓘ Radius of Anion [R_a]			+10% -10%

✖Lattice energy for Kapustinskii Equation of a crystalline solid is a measure of the energy released when ions are combined to make a compound.ⓘ Lattice Energy using Original Kapustinskii equation [U_Kapustinskii]

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Lattice Energy using Original Kapustinskii equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lattice Energy for Kapustinskii Equation = ((([Kapustinskii_C]/1.20200)*1.079)*Number of Ions*Charge of Cation*Charge of Anion)/(Radius of Cation+Radius of Anion)
U_Kapustinskii = ((([Kapustinskii_C]/1.20200)*1.079)*N_ions*z⁺*z^-)/(R_c+R_a)
This formula uses 1 Constants, 6 Variables

Constants Used

[Kapustinskii_C] - Kapustinskii constant Value Taken As 1.20200E-4

Variables Used

Lattice Energy for Kapustinskii Equation - (Measured in Joule per Mole) - Lattice energy for Kapustinskii Equation of a crystalline solid is a measure of the energy released when ions are combined to make a compound.
Number of Ions - The Number of Ions is the number of ions formed from one formula unit of the substance.
Charge of Cation - (Measured in Coulomb) - The Charge of Cation is the positive charge over a cation with fewer electron than the respective atom.
Charge of Anion - (Measured in Coulomb) - The Charge of Anion is the negative charge over an anion with more electron than the respective atom.
Radius of Cation - (Measured in Meter) - The Radius of Cation is the radius of the positively charged ion in the crystal structure.
Radius of Anion - (Measured in Meter) - The Radius of Anion is the radius of negatively charged ion in the crystal.

STEP 1: Convert Input(s) to Base Unit

Number of Ions: 2 --> No Conversion Required
Charge of Cation: 4 Coulomb --> 4 Coulomb No Conversion Required
Charge of Anion: 3 Coulomb --> 3 Coulomb No Conversion Required
Radius of Cation: 65 Angstrom --> 6.5E-09 Meter (Check conversion here)
Radius of Anion: 51.5 Angstrom --> 5.15E-09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_Kapustinskii = ((([Kapustinskii_C]/1.20200)*1.079)*N_ions*z⁺*z^-)/(R_c+R_a) --> ((([Kapustinskii_C]/1.20200)*1.079)*2*4*3)/(6.5E-09+5.15E-09)

Evaluating ... ...

U_Kapustinskii = 222283.261802575

STEP 3: Convert Result to Output's Unit

222283.261802575 Joule per Mole --> No Conversion Required

FINAL ANSWER

222283.261802575 ≈ 222283.3 Joule per Mole <-- Lattice Energy for Kapustinskii Equation

(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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National Institute of Information Technology (NIIT), Neemrana

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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)

Lattice Energy using Original Kapustinskii equation Formula

LaTeX Go

How is this form of Kapustinskii equation derived from Born–Landé equation?

Kapustinskii replaced the measured distance between ions, with the sum of the corresponding ionic radii. In addition, the Born exponent, n, was assumed to have a mean value of 9. Finally, Kapustinskii noted that the Madelung constant, M, was approximately 0.88 times the number of ions in the empirical formula. The derivation of the later form of the Kapustinskii equation followed similar logic, starting from the quantum chemical treatment of the final term. Replacing the measured distance between ions as before yields the full Kapustinskii equation.

How to Calculate Lattice Energy using Original Kapustinskii equation?

Lattice Energy using Original Kapustinskii equation calculator uses Lattice Energy for Kapustinskii Equation = ((([Kapustinskii_C]/1.20200)*1.079)*Number of Ions*Charge of Cation*Charge of Anion)/(Radius of Cation+Radius of Anion) to calculate the Lattice Energy for Kapustinskii Equation, The Lattice Energy using Original Kapustinskii equation was originally proposed simpler form, which he faulted as "associated with antiquated concepts of the character of repulsion forces". Lattice Energy for Kapustinskii Equation is denoted by U_Kapustinskii symbol.

How to calculate Lattice Energy using Original Kapustinskii equation using this online calculator? To use this online calculator for Lattice Energy using Original Kapustinskii equation, enter Number of Ions (N_ions), Charge of Cation (z⁺), Charge of Anion (z^-), Radius of Cation (R_c) & Radius of Anion (R_a) and hit the calculate button. Here is how the Lattice Energy using Original Kapustinskii equation calculation can be explained with given input values -> 222283.3 = ((([Kapustinskii_C]/1.20200)*1.079)*2*4*3)/(6.5E-09+5.15E-09).

FAQ

What is Lattice Energy using Original Kapustinskii equation?

The Lattice Energy using Original Kapustinskii equation was originally proposed simpler form, which he faulted as "associated with antiquated concepts of the character of repulsion forces" and is represented as U_Kapustinskii = ((([Kapustinskii_C]/1.20200)*1.079)*N_ions*z⁺*z^-)/(R_c+R_a) or Lattice Energy for Kapustinskii Equation = ((([Kapustinskii_C]/1.20200)*1.079)*Number of Ions*Charge of Cation*Charge of Anion)/(Radius of Cation+Radius of Anion). The Number of Ions is the number of ions formed from one formula unit of the substance, The Charge of Cation is the positive charge over a cation with fewer electron than the respective atom, The Charge of Anion is the negative charge over an anion with more electron than the respective atom, The Radius of Cation is the radius of the positively charged ion in the crystal structure & The Radius of Anion is the radius of negatively charged ion in the crystal.

How to calculate Lattice Energy using Original Kapustinskii equation?

The Lattice Energy using Original Kapustinskii equation was originally proposed simpler form, which he faulted as "associated with antiquated concepts of the character of repulsion forces" is calculated using Lattice Energy for Kapustinskii Equation = ((([Kapustinskii_C]/1.20200)*1.079)*Number of Ions*Charge of Cation*Charge of Anion)/(Radius of Cation+Radius of Anion). To calculate Lattice Energy using Original Kapustinskii equation, you need Number of Ions (N_ions), Charge of Cation (z⁺), Charge of Anion (z^-), Radius of Cation (R_c) & Radius of Anion (R_a). With our tool, you need to enter the respective value for Number of Ions, Charge of Cation, Charge of Anion, Radius of Cation & Radius of Anion 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 Lattice Energy for Kapustinskii Equation?

In this formula, Lattice Energy for Kapustinskii Equation uses Number of Ions, Charge of Cation, Charge of Anion, Radius of Cation & Radius of Anion. We can use 1 other way(s) to calculate the same, which is/are as follows -

Lattice Energy for Kapustinskii Equation = (1.20200*(10^(-4))*Number of Ions*Charge of Cation*Charge of Anion*(1-((3.45*(10^(-11)))/(Radius of Cation+Radius of Anion))))/(Radius of Cation+Radius of Anion)

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