Spin Angular Momentum Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angular Momentum = sqrt(Spin Quantum Number*(Spin Quantum Number+1))*[hP]/(2*pi)
L = sqrt(s*(s+1))*[hP]/(2*pi)
This formula uses 2 Constants, 1 Functions, 2 Variables
Constants Used
[hP] - Planck constant Value Taken As 6.626070040E-34
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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
Angular Momentum - (Measured in Kilogram Square Meter per Second) - Angular Momentum is the degree to which a body rotates, gives its angular momentum.
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
L = sqrt(s*(s+1))*[hP]/(2*pi) --> sqrt(8*(8+1))*[hP]/(2*pi)
Evaluating ... ...
L = 8.94833845351765E-34
STEP 3: Convert Result to Output's Unit
8.94833845351765E-34 Kilogram Square Meter per Second --> No Conversion Required
FINAL ANSWER
8.94833845351765E-34 8.9E-34 Kilogram Square Meter per Second <-- Angular Momentum
(Calculation completed in 00.004 seconds)

Credits

Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
Anirudh Singh has created this Calculator and 300+ more calculators!
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1900+ 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 Angular Momentum Formula

Angular Momentum = sqrt(Spin Quantum Number*(Spin Quantum Number+1))*[hP]/(2*pi)
L = sqrt(s*(s+1))*[hP]/(2*pi)

What are quantum numbers?

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.

How to Calculate Spin Angular Momentum?

Spin Angular Momentum calculator uses Angular Momentum = sqrt(Spin Quantum Number*(Spin Quantum Number+1))*[hP]/(2*pi) to calculate the Angular Momentum, The Spin Angular Momentum of an object is defined as the angular momentum about its centre of mass coordinate. Angular Momentum is denoted by L symbol.

How to calculate Spin Angular Momentum using this online calculator? To use this online calculator for Spin Angular Momentum, enter Spin Quantum Number (s) and hit the calculate button. Here is how the Spin Angular Momentum calculation can be explained with given input values -> 8.9E-34 = sqrt(8*(8+1))*[hP]/(2*pi).

FAQ

What is Spin Angular Momentum?
The Spin Angular Momentum of an object is defined as the angular momentum about its centre of mass coordinate and is represented as L = sqrt(s*(s+1))*[hP]/(2*pi) or Angular Momentum = sqrt(Spin Quantum Number*(Spin Quantum Number+1))*[hP]/(2*pi). Spin Quantum Number describes the angular momentum of an electron.
How to calculate Spin Angular Momentum?
The Spin Angular Momentum of an object is defined as the angular momentum about its centre of mass coordinate is calculated using Angular Momentum = sqrt(Spin Quantum Number*(Spin Quantum Number+1))*[hP]/(2*pi). To calculate Spin Angular Momentum, 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 Angular Momentum?
In this formula, Angular Momentum uses Spin Quantum Number. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Angular Momentum = sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))*[hP]/(2*pi)
  • Angular Momentum = (Quantum Number*[hP])/(2*pi)
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