Exchange Energy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Exchange Energy = (Number of Electron*(Number of Electron-1))/2
Eexchange = (nelectron*(nelectron-1))/2
This formula uses 2 Variables
Variables Used
Exchange Energy - (Measured in Joule) - Exchange Energy is the energy released due to the exchange in position of electrons with the same spin.
Number of Electron - Number of Electron is the total electrons present in the shells of the atom.
STEP 1: Convert Input(s) to Base Unit
Number of Electron: 14 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Eexchange = (nelectron*(nelectron-1))/2 --> (14*(14-1))/2
Evaluating ... ...
Eexchange = 91
STEP 3: Convert Result to Output's Unit
91 Joule --> No Conversion Required
FINAL ANSWER
91 Joule <-- Exchange Energy
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
Verified by Pragati Jaju
College Of Engineering (COEP), Pune
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22 Schrodinger Wave Equation Calculators

Angle between Orbital Angular Momentum and z Axis
Go Theta = acos(Magnetic Quantum Number/(sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))))
Magnetic Quantum Number given Orbital Angular Momentum
Go Magnetic Quantum Number = cos(Theta)*sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))
Orbital Angular Momentum
Go Angular Momentum = sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))*[hP]/(2*pi)
Spin Angular Momentum
Go Angular Momentum = sqrt(Spin Quantum Number*(Spin Quantum Number+1))*[hP]/(2*pi)
Angle between Angular Momentum and Momentum along z axis
Go Theta = acos(Angular Momentum along z Axis/Quantization of Angular Momentum)
Relation between Magnetic Angular Momentum and Orbital Angular Momentum
Go Angular Momentum along z Axis = Quantization of Angular Momentum*cos(Theta)
Magnetic Quantum Angular Momentum
Go Angular Momentum along z Axis = (Magnetic Quantum Number*[hP])/(2*pi)
Spin only Magnetic Moment
Go Magnetic Moment = sqrt((4*Spin Quantum Number)*(Spin Quantum Number+1))
Magnetic Moment
Go Magnetic Moment = sqrt(Quantum Number*(Quantum Number+2))*1.7
Angular Momentum using Quantum Number
Go Angular Momentum = (Quantum Number*[hP])/(2*pi)
Exchange Energy
Go Exchange Energy = (Number of Electron*(Number of Electron-1))/2
Number of Spherical Nodes
Go Number of Nodes = Quantum Number-Azimuthal Quantum Number-1
Number of Peaks Obtained in Curve
Go Number of Peaks = Quantum Number-Azimuthal Quantum Number
Energy of Electron by Principal Quantum Number
Go Energy = Quantum Number+Azimuthal Quantum Number
Number of Orbitals in Sub Shell of Magnetic Quantum Number
Go Total Number of Orbitals = (2*Azimuthal Quantum Number)+1
Total Magnetic Quantum Number Value
Go Magnetic Quantum Number = (2*Azimuthal Quantum Number)+1
Maximum Number of Electrons in Sub Shell of Magnetic Quantum Number
Go Number of Electron = 2*((2*Azimuthal Quantum Number)+1)
Number of Orbitals of Magnetic Quantum Number in Main Energy Level
Go Total Number of Orbitals = (Number of Orbits^2)
Total Number of Orbitals of Principal Quantum Number
Go Total Number of Orbitals = (Number of Orbits^2)
Spin Multiplicity
Go Spin Multiplicity = (2*Spin Quantum Number)+1
Maximum Number of Electron in Orbit of Principal Quantum Number
Go Number of Electron = 2*(Number of Orbits^2)
Total Number of Nodes
Go Number of Nodes = Quantum Number-1

Exchange Energy Formula

Exchange Energy = (Number of Electron*(Number of Electron-1))/2
Eexchange = (nelectron*(nelectron-1))/2

What is Exchange energy?

The stabilizing effect arises whenever two or more electrons with the same spin are present in the degenerate orbitals of a subshell. These electrons tend to exchange their positions and the energy released due to this exchange is called exchange energy. The number of exchanges that can take place is maximum when the subshell is either half filled or completely filled. As a result the exchange energy will be maximum and so is the stability.

How to Calculate Exchange Energy?

Exchange Energy calculator uses Exchange Energy = (Number of Electron*(Number of Electron-1))/2 to calculate the Exchange Energy, The Exchange energy formula is defined as the energy released due to the exchange in position of electrons with the same spin. Exchange Energy is denoted by Eexchange symbol.

How to calculate Exchange Energy using this online calculator? To use this online calculator for Exchange Energy, enter Number of Electron (nelectron) and hit the calculate button. Here is how the Exchange Energy calculation can be explained with given input values -> 91 = (14*(14-1))/2.

FAQ

What is Exchange Energy?
The Exchange energy formula is defined as the energy released due to the exchange in position of electrons with the same spin and is represented as Eexchange = (nelectron*(nelectron-1))/2 or Exchange Energy = (Number of Electron*(Number of Electron-1))/2. Number of Electron is the total electrons present in the shells of the atom.
How to calculate Exchange Energy?
The Exchange energy formula is defined as the energy released due to the exchange in position of electrons with the same spin is calculated using Exchange Energy = (Number of Electron*(Number of Electron-1))/2. To calculate Exchange Energy, you need Number of Electron (nelectron). With our tool, you need to enter the respective value for Number of Electron 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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