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Lattice Energy using Kapustinskii equation Formula

GoLattice Energy using Original Kapustinskii equation Formula

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Lattice energy for Kapustinskii Equation of a crystalline solid is a measure of the energy released when ions are combined to make a compound. Check FAQs

U Kapustinskii = \frac{1.20200 \cdot (10^{- 4}) \cdot N ions \cdot z + \cdot z - \cdot (1 - (\frac{3.45 \cdot (10^{- 11})}{R c + R a}))}{R c + R a}

U_Kapustinskii - Lattice Energy for Kapustinskii Equation?N_ions - Number of Ions?z⁺ - Charge of Cation?z^- - Charge of Anion?R_c - Radius of Cation?R_a - Radius of Anion?

Lattice Energy using Kapustinskii equation Example

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Here is how the Lattice Energy using Kapustinskii equation equation looks like with Values.

Here is how the Lattice Energy using Kapustinskii equation equation looks like with Units.

Here is how the Lattice Energy using Kapustinskii equation equation looks like.

246889.0155 = \frac{1.20200 \cdot (10^{- 4}) \cdot 2 \cdot 4 \cdot 3 \cdot (1 - (\frac{3.45 \cdot (10^{- 11})}{65 + 51.5}))}{65 + 51.5}

246889.0155J/mol = \frac{1.20200 \cdot (10^{- 4}) \cdot 2 \cdot 4C \cdot 3C \cdot (1 - (\frac{3.45 \cdot (10^{- 11})}{65A + 51.5A}))}{65A + 51.5A}

246889.0155 = \frac{1.20200 \cdot (10^{- 4}) \cdot 2 \cdot 4 \cdot 3 \cdot (1 - (\frac{3.45 \cdot (10^{- 11})}{65 + 51.5}))}{65 + 51.5}

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Lattice Energy using Kapustinskii equation Solution

Follow our step by step solution on how to calculate Lattice Energy using Kapustinskii equation?

FIRST Step Consider the formula

U Kapustinskii = \frac{1.20200 \cdot (10^{- 4}) \cdot N ions \cdot z + \cdot z - \cdot (1 - (\frac{3.45 \cdot (10^{- 11})}{R c + R a}))}{R c + R a}

Next Step Substitute values of Variables

∴

U Kapustinskii = \frac{1.20200 \cdot (10^{- 4}) \cdot 2 \cdot 4C \cdot 3C \cdot (1 - (\frac{3.45 \cdot (10^{- 11})}{65A + 51.5A}))}{65A + 51.5A}

Next Step Convert Units

∴

U Kapustinskii = \frac{1.20200 \cdot (10^{- 4}) \cdot 2 \cdot 4C \cdot 3C \cdot (1 - (\frac{3.45 \cdot (10^{- 11})}{6.5E-9m + 5.2E-9m}))}{6.5E-9m + 5.2E-9m}

Next Step Prepare to Evaluate

∴

U Kapustinskii = \frac{1.20200 \cdot (10^{- 4}) \cdot 2 \cdot 4 \cdot 3 \cdot (1 - (\frac{3.45 \cdot (10^{- 11})}{6.5E-9 + 5.2E-9}))}{6.5E-9 + 5.2E-9}

Next Step Evaluate

∴

U Kapustinskii = 246889.015454328J/mol

LAST Step Rounding Answer

∴

U Kapustinskii = 246889.0155J/mol

Lattice Energy using Kapustinskii equation Formula Elements

Variables

Lattice Energy for Kapustinskii Equation

Lattice energy for Kapustinskii Equation of a crystalline solid is a measure of the energy released when ions are combined to make a compound.

Symbol: U_Kapustinskii

Measurement: Molar EnthalpyUnit: J/mol

Note: Value can be positive or negative.

Formulas to find Lattice Energy for Kapustinskii Equation

Number of Ions

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

Symbol: N_ions

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Ions

Charge of Cation

The Charge of Cation is the positive charge over a cation with fewer electron than the respective atom.

Symbol: z⁺

Measurement: Electric ChargeUnit: C

Note: Value can be positive or negative.

Formulas to find Charge of Cation

Charge of Anion

The Charge of Anion is the negative charge over an anion with more electron than the respective atom.

Symbol: z^-

Measurement: Electric ChargeUnit: C

Note: Value can be positive or negative.

Formulas to find Charge of Anion

Radius of Cation

The Radius of Cation is the radius of the positively charged ion in the crystal structure.

Symbol: R_c

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Radius of Cation

Radius of Anion

The Radius of Anion is the radius of negatively charged ion in the crystal.

Symbol: R_a

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Radius of Anion

Other Formulas to find Lattice Energy for Kapustinskii Equation

Go Lattice Energy using Original Kapustinskii equation

U Kapustinskii = \frac{((\frac{[Kapustinskii_C]}{1.20200}) \cdot 1.079) \cdot N ions \cdot z + \cdot z -}{R c + R a}

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

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

How to Evaluate Lattice Energy using Kapustinskii equation?

Lattice Energy using Kapustinskii equation evaluator uses 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) to evaluate the Lattice Energy for Kapustinskii Equation, The Lattice Energy using Kapustinskii equation calculates the lattice energy for an ionic crystal, which is experimentally difficult to determine. Lattice Energy for Kapustinskii Equation is denoted by U_Kapustinskii symbol.

How to evaluate Lattice Energy using Kapustinskii equation using this online evaluator? To use this online evaluator for Lattice Energy using 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.

FAQs on Lattice Energy using Kapustinskii equation

What is the formula to find Lattice Energy using Kapustinskii equation?

The formula of Lattice Energy using Kapustinskii equation is expressed as 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). Here is an example- 246889 = (1.20200*(10^(-4))*2*4*3*(1-((3.45*(10^(-11)))/(6.5E-09+5.15E-09))))/(6.5E-09+5.15E-09).

How to calculate Lattice Energy using Kapustinskii equation?

With Number of Ions (N_ions), Charge of Cation (z⁺), Charge of Anion (z^-), Radius of Cation (R_c) & Radius of Anion (R_a) we can find Lattice Energy using Kapustinskii equation using the formula - 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).

What are the other ways to Calculate Lattice Energy for Kapustinskii Equation?

Here are the different ways to Calculate Lattice Energy for Kapustinskii Equation-

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)

Can the Lattice Energy using Kapustinskii equation be negative?

Yes, the Lattice Energy using Kapustinskii equation, measured in Molar Enthalpy can be negative.

Which unit is used to measure Lattice Energy using Kapustinskii equation?

Lattice Energy using Kapustinskii equation is usually measured using the Joule per Mole[J/mol] for Molar Enthalpy. Kilojoule per Mole[J/mol] are the few other units in which Lattice Energy using Kapustinskii equation can be measured.

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Lattice Energy using Kapustinskii equation Formula

​GoLattice Energy using Original Kapustinskii equation Formula

Lattice Energy using Kapustinskii equation Example

Lattice Energy using Kapustinskii equation Solution

Lattice Energy using Kapustinskii equation Formula Elements

Other Formulas to find Lattice Energy for Kapustinskii Equation

Other formulas in Lattice Energy category

How to Evaluate Lattice Energy using Kapustinskii equation?

FAQs on Lattice Energy using Kapustinskii equation

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GoLattice Energy using Original Kapustinskii equation Formula