Orbital Angular Momentum Calculator

Angular Momentum = sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))*[hP]/(2*pi)
L = sqrt(l*(l+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.
Azimuthal Quantum Number - Azimuthal Quantum Number is a quantum number for an atomic orbital that determines its orbital angular momentum.

STEP 1: Convert Input(s) to Base Unit

Azimuthal Quantum Number: 90 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = sqrt(l*(l+1))*[hP]/(2*pi) --> sqrt(90*(90+1))*[hP]/(2*pi)

Evaluating ... ...

L = 9.54372913105901E-33

STEP 3: Convert Result to Output's Unit

9.54372913105901E-33 Kilogram Square Meter per Second --> No Conversion Required

FINAL ANSWER

9.54372913105901E-33 ≈ 9.5E-33 Kilogram Square Meter per Second <-- Angular Momentum

(Calculation completed in 00.004 seconds)

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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

Orbital Angular Momentum Formula

Angular Momentum = sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))*[hP]/(2*pi)
L = sqrt(l*(l+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 Orbital Angular Momentum?

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

How to calculate Orbital Angular Momentum using this online calculator? To use this online calculator for Orbital Angular Momentum, enter Azimuthal Quantum Number (l) and hit the calculate button. Here is how the Orbital Angular Momentum calculation can be explained with given input values -> 9.5E-33 = sqrt(90*(90+1))*[hP]/(2*pi).

FAQ

What is Orbital Angular Momentum?

The Orbital Angular Momentum of an object about a chosen origin is defined as the angular momentum of the centre of mass about the origin and is represented as L = sqrt(l*(l+1))*[hP]/(2*pi) or Angular Momentum = sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))*[hP]/(2*pi). Azimuthal Quantum Number is a quantum number for an atomic orbital that determines its orbital angular momentum.

How to calculate Orbital Angular Momentum?

The Orbital Angular Momentum of an object about a chosen origin is defined as the angular momentum of the centre of mass about the origin is calculated using Angular Momentum = sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))*[hP]/(2*pi). To calculate Orbital Angular Momentum, you need Azimuthal Quantum Number (l). With our tool, you need to enter the respective value for Azimuthal 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 Azimuthal Quantum Number. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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