Electrostatic Potential Energy between pair of Ions 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

✖A Charge is the fundamental property of forms of matter that exhibit electrostatic attraction or repulsion in the presence of other matter.ⓘ Charge [q]			+10% -10%
✖Distance of Closest Approach is the distance to which an alpha particle comes closer to the nucleus.ⓘ Distance of Closest Approach [r₀]			+10% -10%

✖The Electrostatic Potential Energy between Ion Pair is the electrostatic potential energy between a pair of ions of equal and opposite charge.ⓘ Electrostatic Potential Energy between pair of Ions [E_Pair]

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Formula

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Electrostatic Potential Energy between pair of Ions

Formula

`"E"_{"Pair"} = (-("q"^2)*("[Charge-e]"^2))/(4*pi*"[Permitivity-vacuum]"*"r"_{"0"})`

Example

`"-3.5E^-21J"=(-(("0.3C")^2)*("[Charge-e]"^2))/(4*pi*"[Permitivity-vacuum]"*"60A")`

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Electrostatic Potential Energy between pair of Ions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electrostatic Potential Energy between Ion Pair = (-(Charge^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach)
E_Pair = (-(q^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*r₀)
This formula uses 3 Constants, 3 Variables

Constants Used

[Permitivity-vacuum] - Permittivity of vacuum Value Taken As 8.85E-12
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Electrostatic Potential Energy between Ion Pair - (Measured in Joule) - The Electrostatic Potential Energy between Ion Pair is the electrostatic potential energy between a pair of ions of equal and opposite charge.
Charge - (Measured in Coulomb) - A Charge is the fundamental property of forms of matter that exhibit electrostatic attraction or repulsion in the presence of other matter.
Distance of Closest Approach - (Measured in Meter) - Distance of Closest Approach is the distance to which an alpha particle comes closer to the nucleus.

STEP 1: Convert Input(s) to Base Unit

Charge: 0.3 Coulomb --> 0.3 Coulomb No Conversion Required
Distance of Closest Approach: 60 Angstrom --> 6E-09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_Pair = (-(q^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*r₀) --> (-(0.3^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*6E-09)

Evaluating ... ...

E_Pair = -3.46225382883671E-21

STEP 3: Convert Result to Output's Unit

-3.46225382883671E-21 Joule --> No Conversion Required

FINAL ANSWER

-3.46225382883671E-21 ≈ -3.5E-21 Joule <-- Electrostatic Potential Energy between Ion Pair

(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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< 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

Electrostatic Potential Energy between pair of Ions Formula

What is Born–Landé equation?

The Born–Landé equation is a means of calculating the lattice energy of a crystalline ionic compound. In 1918 Max Born and Alfred Landé proposed that the lattice energy could be derived from the electrostatic potential of the ionic lattice and a repulsive potential energy term. The ionic lattice is modeled as an assembly of hard elastic spheres which are compressed together by the mutual attraction of the electrostatic charges on the ions. They achieve the observed equilibrium distance apart due to a balancing short range repulsion.

How to Calculate Electrostatic Potential Energy between pair of Ions?

Electrostatic Potential Energy between pair of Ions calculator uses Electrostatic Potential Energy between Ion Pair = (-(Charge^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach) to calculate the Electrostatic Potential Energy between Ion Pair, The Electrostatic potential energy between pair of ions is the electrostatic potential energy between a pair of ions of equal and opposite charge. Electrostatic Potential Energy between Ion Pair is denoted by E_Pair symbol.

How to calculate Electrostatic Potential Energy between pair of Ions using this online calculator? To use this online calculator for Electrostatic Potential Energy between pair of Ions, enter Charge (q) & Distance of Closest Approach (r₀) and hit the calculate button. Here is how the Electrostatic Potential Energy between pair of Ions calculation can be explained with given input values -> -3.5E-21 = (-(0.3^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*6E-09).

FAQ

What is Electrostatic Potential Energy between pair of Ions?

The Electrostatic potential energy between pair of ions is the electrostatic potential energy between a pair of ions of equal and opposite charge and is represented as E_Pair = (-(q^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*r₀) or Electrostatic Potential Energy between Ion Pair = (-(Charge^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach). A Charge is the fundamental property of forms of matter that exhibit electrostatic attraction or repulsion in the presence of other matter & Distance of Closest Approach is the distance to which an alpha particle comes closer to the nucleus.

How to calculate Electrostatic Potential Energy between pair of Ions?

The Electrostatic potential energy between pair of ions is the electrostatic potential energy between a pair of ions of equal and opposite charge is calculated using Electrostatic Potential Energy between Ion Pair = (-(Charge^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*Distance of Closest Approach). To calculate Electrostatic Potential Energy between pair of Ions, you need Charge (q) & Distance of Closest Approach (r₀). With our tool, you need to enter the respective value for Charge & Distance of Closest Approach 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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