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Orbital Angular Momentum Formula

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GoAngular Momentum using Quantum Number Formula

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Angular Momentum is the degree to which a body rotates, gives its angular momentum. Check FAQs

L = \sqrt{l \cdot (l + 1)} \cdot \frac{[hP]}{2 \cdot π}

L - Angular Momentum?l - Azimuthal Quantum Number?[hP] - Planck constant?π - Archimedes' constant?

Orbital Angular Momentum Example

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Here is how the Orbital Angular Momentum equation looks like with Values.

Here is how the Orbital Angular Momentum equation looks like with Units.

Here is how the Orbital Angular Momentum equation looks like.

9.5E-33 = \sqrt{90 \cdot (90 + 1)} \cdot \frac{6.6E-34}{2 \cdot 3.1416}

9.5E-33kg*m²/s = \sqrt{90 \cdot (90 + 1)} \cdot \frac{6.6E-34}{2 \cdot 3.1416}

9.5E-33 = \sqrt{90 \cdot (90 + 1)} \cdot \frac{6.6E-34}{2 \cdot 3.1416}

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Orbital Angular Momentum Solution

Follow our step by step solution on how to calculate Orbital Angular Momentum?

FIRST Step Consider the formula

L = \sqrt{l \cdot (l + 1)} \cdot \frac{[hP]}{2 \cdot π}

Next Step Substitute values of Variables

∴

L = \sqrt{90 \cdot (90 + 1)} \cdot \frac{[hP]}{2 \cdot π}

Next Step Substitute values of Constants

∴

L = \sqrt{90 \cdot (90 + 1)} \cdot \frac{6.6E-34}{2 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

L = \sqrt{90 \cdot (90 + 1)} \cdot \frac{6.6E-34}{2 \cdot 3.1416}

Next Step Evaluate

∴

L = 9.54372913105901E-33kg*m²/s

LAST Step Rounding Answer

∴

L = 9.5E-33kg*m²/s

Orbital Angular Momentum Formula Elements

Variables

Constants

Functions

Angular Momentum

Angular Momentum is the degree to which a body rotates, gives its angular momentum.

Symbol: L

Measurement: Angular MomentumUnit: kg*m²/s

Note: Value can be positive or negative.

Formulas to find Angular Momentum

Azimuthal Quantum Number

Azimuthal Quantum Number is a quantum number for an atomic orbital that determines its orbital angular momentum.

Symbol: l

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Azimuthal Quantum Number

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Angular Momentum

Go Spin Angular Momentum

L = \sqrt{s \cdot (s + 1)} \cdot \frac{[hP]}{2 \cdot π}

Go Angular Momentum using Quantum Number

L = \frac{n quantum \cdot [hP]}{2 \cdot π}

Other formulas in Schrodinger Wave Equation category

Go Maximum Number of Electron in Orbit of Principal Quantum Number

n electron = 2 \cdot ({n orbit}^{2})

Go Total Number of Orbitals of Principal Quantum Number

t = ({n orbit}^{2})

Go Total Magnetic Quantum Number Value

m = (2 \cdot l) + 1

Go Number of Orbitals of Magnetic Quantum Number in Main Energy Level

t = ({n orbit}^{2})

How to Evaluate Orbital Angular Momentum?

Orbital Angular Momentum evaluator uses Angular Momentum = sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))*[hP]/(2*pi) to evaluate 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 evaluate Orbital Angular Momentum using this online evaluator? To use this online evaluator for Orbital Angular Momentum, enter Azimuthal Quantum Number (l) and hit the calculate button.

FAQs on Orbital Angular Momentum

What is the formula to find Orbital Angular Momentum?

The formula of Orbital Angular Momentum is expressed as Angular Momentum = sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))*[hP]/(2*pi). Here is an example- 9.5E-33 = sqrt(90*(90+1))*[hP]/(2*pi).

How to calculate Orbital Angular Momentum?

With Azimuthal Quantum Number (l) we can find Orbital Angular Momentum using the formula - Angular Momentum = sqrt(Azimuthal Quantum Number*(Azimuthal Quantum Number+1))*[hP]/(2*pi). This formula also uses Planck constant, Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Angular Momentum?

Here are the different ways to Calculate Angular Momentum-

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

Can the Orbital Angular Momentum be negative?

Yes, the Orbital Angular Momentum, measured in Angular Momentum can be negative.

Which unit is used to measure Orbital Angular Momentum?

Orbital Angular Momentum is usually measured using the Kilogram Square Meter per Second[kg*m²/s] for Angular Momentum. are the few other units in which Orbital Angular Momentum can be measured.

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