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Spin Angular Momentum Calculator

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✖Spin Quantum Number describes the angular momentum of an electron.ⓘ Spin Quantum Number [s]

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✖Angular Momentum is the degree to which a body rotates, gives its angular momentum.ⓘ Spin Angular Momentum [L]

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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 00.008 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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< Schrodinger Wave Equation Calculators

Total Magnetic Quantum Number Value

LaTeX Go Magnetic Quantum Number = (2*Azimuthal Quantum Number)+1

Number of Orbitals of Magnetic Quantum Number in Main Energy Level

LaTeX Go Total Number of Orbitals = (Number of Orbits^2)

Total Number of Orbitals of Principal Quantum Number

LaTeX Go Total Number of Orbitals = (Number of Orbits^2)

Maximum Number of Electron in Orbit of Principal Quantum Number

LaTeX Go Number of Electron = 2*(Number of Orbits^2)

Spin Angular Momentum Formula

LaTeX Go

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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