Outer Pressure of Lattice 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 Lattice Enthalpy is the molar lattice enthalpy contributing to the work involved in formation of a lattice.ⓘ Lattice Enthalpy [ΔH]			+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 [U]			+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%

✖Pressure Lattice Energy Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Outer Pressure of Lattice [p_LE]

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Formula

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Outer Pressure of Lattice

Formula

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

Example

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

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Outer Pressure of Lattice Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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
Lattice Energy: 3500 Joule per Mole --> 3500 Joule per Mole 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

p_LE = (ΔH-U)/V_{m_LE} --> (21420-3500)/22.4

Evaluating ... ...

p_LE = 800

STEP 3: Convert Result to Output's Unit

800 Pascal --> No Conversion Required

FINAL ANSWER

800 Pascal <-- Pressure Lattice Energy

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Chemical Bonding » Ionic Bonding » Lattice Energy » Outer Pressure of Lattice

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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

Outer Pressure of Lattice Formula

Pressure Lattice Energy = (Lattice Enthalpy-Lattice Energy)/Molar Volume Lattice Energy
p_LE = (ΔH-U)/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 Outer Pressure of Lattice?

Outer Pressure of Lattice calculator uses Pressure Lattice Energy = (Lattice Enthalpy-Lattice Energy)/Molar Volume Lattice Energy to calculate the Pressure Lattice Energy, The Outer pressure of lattice is the pressure of lattice against which the lattice enthalpy further takes into account that work has to be performed. Pressure Lattice Energy is denoted by p_LE symbol.

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

FAQ

What is Outer Pressure of Lattice?

The Outer pressure of lattice is the pressure of lattice against which the lattice enthalpy further takes into account that work has to be performed and is represented as p_LE = (ΔH-U)/V_{m_LE} or Pressure Lattice Energy = (Lattice Enthalpy-Lattice Energy)/Molar Volume Lattice Energy. The Lattice Enthalpy is the molar lattice enthalpy contributing to the work involved in formation of a lattice, The Lattice Energy of a crystalline solid is a measure of the energy released when ions are combined to make a compound & 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 Outer Pressure of Lattice?

The Outer pressure of lattice is the pressure of lattice against which the lattice enthalpy further takes into account that work has to be performed is calculated using Pressure Lattice Energy = (Lattice Enthalpy-Lattice Energy)/Molar Volume Lattice Energy. To calculate Outer Pressure of Lattice, you need Lattice Enthalpy (ΔH), Lattice Energy (U) & Molar Volume Lattice Energy (V_{m_LE}). With our tool, you need to enter the respective value for Lattice Enthalpy, 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.

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