Lattice Energy using Lattice Enthalpy Calculator

↳

⤿

Ionic Bonding

Covalent Bonding

Electronegativity

⤿

Lattice Energy

⤿

Distance of Closest Approach

Madelung Constant

✖The Lattice Enthalpy is the molar lattice enthalpy contributing to the work involved in formation of a lattice.ⓘ Lattice Enthalpy [ΔH]			+10% -10%
✖Pressure Lattice Energy Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure Lattice Energy [p_LE]			+10% -10%
✖Molar Volume Lattice Energy is the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure.ⓘ Molar Volume Lattice Energy [V_{m_LE}]			+10% -10%

✖The Lattice Energy of a crystalline solid is a measure of the energy released when ions are combined to make a compound.ⓘ Lattice Energy using Lattice Enthalpy [U]

⎘ Copy

👎

Formula

✖

Lattice Energy using Lattice Enthalpy

Formula

`"U" = "ΔH"-("p"_{"LE"}*"V"_{"m_LE"})`

Example

`"3500J/mol"="21420J/mol"-("800Pa"*"22.4m³/mol")`

Calculator

LaTeX

Reset

👍

Download Ionic Bonding Formulas PDF

Lattice Energy using Lattice Enthalpy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lattice Energy = Lattice Enthalpy-(Pressure Lattice Energy*Molar Volume Lattice Energy)
U = ΔH-(p_LE*V_{m_LE})
This formula uses 4 Variables

Variables Used

Lattice Energy - (Measured in Joule per Mole) - The Lattice Energy of a crystalline solid is a measure of the energy released when ions are combined to make a compound.
Lattice Enthalpy - (Measured in Joule per Mole) - The Lattice Enthalpy is the molar lattice enthalpy contributing to the work involved in formation of a lattice.
Pressure Lattice Energy - (Measured in Pascal) - Pressure Lattice Energy Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Molar Volume Lattice Energy - (Measured in Cubic Meter per Mole) - Molar Volume Lattice Energy is the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure.

STEP 1: Convert Input(s) to Base Unit

Lattice Enthalpy: 21420 Joule per Mole --> 21420 Joule per Mole No Conversion Required
Pressure Lattice Energy: 800 Pascal --> 800 Pascal No Conversion Required
Molar Volume Lattice Energy: 22.4 Cubic Meter per Mole --> 22.4 Cubic Meter per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = ΔH-(p_LE*V_{m_LE}) --> 21420-(800*22.4)

Evaluating ... ...

U = 3500

STEP 3: Convert Result to Output's Unit

3500 Joule per Mole --> No Conversion Required

FINAL ANSWER

3500 Joule per Mole <-- Lattice Energy

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Chemical Bonding » Ionic Bonding » Lattice Energy » Lattice Energy using Lattice Enthalpy

Credits

Created by Prerana Bakli

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

Prerana Bakli has created this Calculator and 800+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has verified this Calculator and 900+ more calculators!

< 25 Lattice Energy Calculators

Lattice Energy using Born-Mayer equation

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

Constant depending on compressibility using Born-Mayer equation

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

Minimum Potential Energy of Ion

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

Repulsive Interaction Constant using Total Energy of Ion

Go 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)

Total Energy of Ion given Charges and Distances

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

Lattice Energy using Born-Lande equation using Kapustinskii Approximation

Go Lattice Energy = -([Avaga-no]*Number of Ions*0.88*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 without Madelung Constant

Go Born Exponent = 1/(1-(-Lattice Energy*4*pi*[Permitivity-vacuum]*Distance of Closest Approach)/([Avaga-no]*Number of Ions*0.88*([Charge-e]^2)*Charge of Cation*Charge of Anion))

Lattice Energy using Born Lande Equation

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

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))

Lattice Energy using Kapustinskii equation

Go 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)

Repulsive Interaction Constant given Madelung constant

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

Lattice Energy using Original Kapustinskii equation

Go 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)

Repulsive Interaction using Total Energy of ion given charges and distances

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

Born Exponent using Repulsive Interaction

Go Born Exponent = (log10(Repulsive Interaction Constant/Repulsive Interaction))/log10(Distance of Closest Approach)

Electrostatic Potential Energy between pair of Ions

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

Repulsive Interaction Constant given Total Energy of Ion and Madelung Energy

Go Repulsive Interaction Constant = (Total Energy of Ion-(Madelung Energy))*(Distance of Closest Approach^Born Exponent)

Repulsive Interaction Constant

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

Repulsive Interaction

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

Lattice Energy using Lattice Enthalpy

Go Lattice Energy = Lattice Enthalpy-(Pressure Lattice Energy*Molar Volume Lattice Energy)

Lattice Enthalpy using Lattice Energy

Go Lattice Enthalpy = Lattice Energy+(Pressure Lattice Energy*Molar Volume Lattice Energy)

Outer Pressure of Lattice

Go Pressure Lattice Energy = (Lattice Enthalpy-Lattice Energy)/Molar Volume Lattice Energy

Volume change of lattice

Go Molar Volume Lattice Energy = (Lattice Enthalpy-Lattice Energy)/Pressure Lattice Energy

Repulsive Interaction using Total Energy of Ion

Go Repulsive Interaction = Total Energy of Ion-(Madelung Energy)

Total Energy of Ion in Lattice

Go Total Energy of Ion = Madelung Energy+Repulsive Interaction

Number of Ions using Kapustinskii Approximation

Go Number of Ions = Madelung Constant/0.88

Lattice Energy using Lattice Enthalpy Formula

Lattice Energy = Lattice Enthalpy-(Pressure Lattice Energy*Molar Volume Lattice Energy)
U = ΔH-(p_LE*V_{m_LE})

Why are lattice energy and enthalpy defined using opposite signs?

The lattice energy and enthalpy defined using opposite signs as the energy required to convert the crystal into infinitely separated gaseous ions in vacuum, an endothermic process. Following this convention, the lattice energy of NaCl would be +786 kJ/mol. The lattice energy for ionic crystals such as sodium chloride, metals such as iron, or covalently linked materials such as diamond is considerably greater in magnitude than for solids such as sugar or iodine, whose neutral molecules interact only by weaker dipole-dipole or van der Waals forces.

How to Calculate Lattice Energy using Lattice Enthalpy?

Lattice Energy using Lattice Enthalpy calculator uses Lattice Energy = Lattice Enthalpy-(Pressure Lattice Energy*Molar Volume Lattice Energy) to calculate the Lattice Energy, The Lattice Energy using Lattice Enthalpy of a crystalline solid is a measure of the energy released when ions are combined to make a compound. Lattice Energy is denoted by U symbol.

How to calculate Lattice Energy using Lattice Enthalpy using this online calculator? To use this online calculator for Lattice Energy using Lattice Enthalpy, enter Lattice Enthalpy (ΔH), Pressure Lattice Energy (p_LE) & Molar Volume Lattice Energy (V_{m_LE}) and hit the calculate button. Here is how the Lattice Energy using Lattice Enthalpy calculation can be explained with given input values -> 3500 = 21420-(800*22.4).

FAQ

What is Lattice Energy using Lattice Enthalpy?

The Lattice Energy using Lattice Enthalpy of a crystalline solid is a measure of the energy released when ions are combined to make a compound and is represented as U = ΔH-(p_LE*V_{m_LE}) or Lattice Energy = Lattice Enthalpy-(Pressure Lattice Energy*Molar Volume Lattice Energy). The Lattice Enthalpy is the molar lattice enthalpy contributing to the work involved in formation of a lattice, Pressure Lattice Energy Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & Molar Volume Lattice Energy is the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure.

How to calculate Lattice Energy using Lattice Enthalpy?

The Lattice Energy using Lattice Enthalpy of a crystalline solid is a measure of the energy released when ions are combined to make a compound is calculated using Lattice Energy = Lattice Enthalpy-(Pressure Lattice Energy*Molar Volume Lattice Energy). To calculate Lattice Energy using Lattice Enthalpy, you need Lattice Enthalpy (ΔH), Pressure Lattice Energy (p_LE) & Molar Volume Lattice Energy (V_{m_LE}). With our tool, you need to enter the respective value for Lattice Enthalpy, Pressure Lattice Energy & Molar Volume Lattice 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 Lattice Energy?

In this formula, Lattice Energy uses Lattice Enthalpy, Pressure Lattice Energy & Molar Volume Lattice Energy. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)
Lattice Energy = (-[Avaga-no]*Madelung Constant*Charge of Cation*Charge of Anion*([Charge-e]^2)*(1-(Constant Depending on Compressibility/Distance of Closest Approach)))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach)
Lattice Energy = -([Avaga-no]*Number of Ions*0.88*Charge of Cation*Charge of Anion*([Charge-e]^2)*(1-(1/Born Exponent)))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach)

Home

FREE PDFs

🔍 Search