Spin only Magnetic Moment Solution

STEP 0: Pre-Calculation Summary
Formula Used
Magnetic Moment = sqrt((4*Spin Quantum Number)*(Spin Quantum Number+1))
M = sqrt((4*s)*(s+1))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Magnetic Moment - (Measured in Tesla) - Magnetic Moment is a determination of its tendency to get arranged through a magnetic field.
Spin Quantum Number - Spin Quantum Number describes the angular momentum of an electron.
STEP 1: Convert Input(s) to Base Unit
Spin Quantum Number: 8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
M = sqrt((4*s)*(s+1)) --> sqrt((4*8)*(8+1))
Evaluating ... ...
M = 16.9705627484771
STEP 3: Convert Result to Output's Unit
16.9705627484771 Tesla -->16.9705627484771 Weber per Square Meter (Check conversion ​here)
FINAL ANSWER
16.9705627484771 16.97056 Weber per Square Meter <-- Magnetic Moment
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
Verifier Image
Verified by Pragati Jaju
College Of Engineering (COEP), Pune
Pragati Jaju has verified this Calculator and 300+ more calculators!

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

Spin only Magnetic Moment Formula

Magnetic Moment = sqrt((4*Spin Quantum Number)*(Spin Quantum Number+1))
M = sqrt((4*s)*(s+1))

What is quantum number?

Quantum Number is the set of numbers used to describe the position and energy of the electron in an atom are called quantum numbers. There are four quantum numbers, namely, principal, azimuthal, magnetic and spin quantum numbers. The values of the conserved quantities of a quantum system are given by quantum numbers. An electron in an atom or ion has four quantum numbers to describe its state and yield solutions to the Schrödinger wave equation for the hydrogen atom.

How to Calculate Spin only Magnetic Moment?

Spin only Magnetic Moment calculator uses Magnetic Moment = sqrt((4*Spin Quantum Number)*(Spin Quantum Number+1)) to calculate the Magnetic Moment, The Spin only magnetic moment formula produced due to the spin electrons is defined as the determination of its tendency to get arranged through a magnetic field. Magnetic Moment is denoted by M symbol.

How to calculate Spin only Magnetic Moment using this online calculator? To use this online calculator for Spin only Magnetic Moment, enter Spin Quantum Number (s) and hit the calculate button. Here is how the Spin only Magnetic Moment calculation can be explained with given input values -> 16.97056 = sqrt((4*8)*(8+1)).

FAQ

What is Spin only Magnetic Moment?
The Spin only magnetic moment formula produced due to the spin electrons is defined as the determination of its tendency to get arranged through a magnetic field and is represented as M = sqrt((4*s)*(s+1)) or Magnetic Moment = sqrt((4*Spin Quantum Number)*(Spin Quantum Number+1)). Spin Quantum Number describes the angular momentum of an electron.
How to calculate Spin only Magnetic Moment?
The Spin only magnetic moment formula produced due to the spin electrons is defined as the determination of its tendency to get arranged through a magnetic field is calculated using Magnetic Moment = sqrt((4*Spin Quantum Number)*(Spin Quantum Number+1)). To calculate Spin only Magnetic Moment, you need Spin Quantum Number (s). With our tool, you need to enter the respective value for Spin Quantum Number 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 Magnetic Moment?
In this formula, Magnetic Moment uses Spin Quantum Number. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Magnetic Moment = sqrt(Quantum Number*(Quantum Number+2))*1.7
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