Angular momentum of electron Calculator

Main Category	Chemistry ↺
Chemistry	Atomic structure ↺
Atomic structure	Sommerfeld model ↺

✖Minor axis of elliptical orbit is the line segment that is perpendicular to the major axis and intersects at the center of the ellipse.ⓘ Minor axis of elliptical orbit [k]

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

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Credits

Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has created this Calculator and 500+ more calculators!

Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

Suman Ray Pramanik has verified this Calculator and 100+ more calculators!

Angular momentum of electron Solution

STEP 0: Pre-Calculation Summary

Formula Used

angular_momentum = (Minor axis of elliptical orbit*[hP])/(2*pi)
L = (k*[hP])/(2*pi)
This formula uses 2 Constants, 1 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
[hP] - Planck constant Value Taken As 6.626070040E-34 kilogram Meter² / Second

Variables Used

Minor axis of elliptical orbit - Minor axis of elliptical orbit is the line segment that is perpendicular to the major axis and intersects at the center of the ellipse. (Measured in Meter)

STEP 1: Convert Input(s) to Base Unit

Minor axis of elliptical orbit: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (k*[hP])/(2*pi) --> (10*[hP])/(2*pi)

Evaluating ... ...

L = 1.05457180013911E-33

STEP 3: Convert Result to Output's Unit

1.05457180013911E-33 Kilogram meter² per Second --> No Conversion Required

FINAL ANSWER

1.05457180013911E-33 Kilogram meter² per Second <-- Angular Momentum

(Calculation completed in 00.006 seconds)

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< 9 Sommerfeld model Calculators

Energy of an electron in elliptical orbit

energy = (-((Atomic number^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(Quantum Number^2))) Go

Angular momentum of electron

angular_momentum = (Minor axis of elliptical orbit*[hP])/(2*pi) Go

Total momentum of electrons in the elliptical orbit

total_momentum = sqrt((Angular Momentum^2)+(Radial momentum^2)) Go

Radial momentum of electron given angular momentum

radial_momentum = sqrt((Total momentum^2)-(Angular Momentum^2)) Go

Angular momentum of electron given radial momentum

angular_momentum = sqrt((Total momentum^2)-(Radial momentum^2)) Go

Radial momentum of an electron

radial_momentum = (Radial quantization number*[hP])/(2*pi) Go

Angular quantization number of electron in elliptical orbit

angular_quantization_number = Quantum Number-Radial quantization number Go

Radial quantization number of electron in elliptical orbit

radial_quantization_number = Quantum Number-Angular quantization number Go

Quantum number of electron in elliptical orbit

quantum_number = Radial quantization number+Angular quantization number Go

Angular momentum of electron Formula

angular_momentum = (Minor axis of elliptical orbit*[hP])/(2*pi)
L = (k*[hP])/(2*pi)

What is Sommerfeld atomic model?

Sommerfeld model was proposed to explain the fine spectrum. Sommerfeld predicted that electrons revolve in elliptical orbits as well as circular orbits. During the motion of electrons in a circular orbit, the only angle of revolution changes while the distance from the nucleus remains the same but in an elliptical orbit, both are changed. The distance from the nucleus is termed as radius vector and the angle of revolution predicted is the azimuthal angle.

How to Calculate Angular momentum of electron?

Angular momentum of electron calculator uses angular_momentum = (Minor axis of elliptical orbit*[hP])/(2*pi) to calculate the Angular Momentum, The Angular momentum of electron is defined as the rotational equivalent of linear momentum. It is denoted as L. Angular Momentum and is denoted by L symbol.

How to calculate Angular momentum of electron using this online calculator? To use this online calculator for Angular momentum of electron, enter Minor axis of elliptical orbit (k) and hit the calculate button. Here is how the Angular momentum of electron calculation can be explained with given input values -> 1.055E-33 = (10*[hP])/(2*pi).

FAQ

What is Angular momentum of electron?

The Angular momentum of electron is defined as the rotational equivalent of linear momentum. It is denoted as L and is represented as L = (k*[hP])/(2*pi) or angular_momentum = (Minor axis of elliptical orbit*[hP])/(2*pi). Minor axis of elliptical orbit is the line segment that is perpendicular to the major axis and intersects at the center of the ellipse.

How to calculate Angular momentum of electron?

The Angular momentum of electron is defined as the rotational equivalent of linear momentum. It is denoted as L is calculated using angular_momentum = (Minor axis of elliptical orbit*[hP])/(2*pi). To calculate Angular momentum of electron, you need Minor axis of elliptical orbit (k). With our tool, you need to enter the respective value for Minor axis of elliptical orbit 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 Minor axis of elliptical orbit. We can use 9 other way(s) to calculate the same, which is/are as follows -

total_momentum = sqrt((Angular Momentum^2)+(Radial momentum^2))
energy = (-((Atomic number^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(Quantum Number^2)))
radial_momentum = (Radial quantization number*[hP])/(2*pi)
quantum_number = Radial quantization number+Angular quantization number
angular_momentum = (Minor axis of elliptical orbit*[hP])/(2*pi)
radial_quantization_number = Quantum Number-Angular quantization number
angular_quantization_number = Quantum Number-Radial quantization number
radial_momentum = sqrt((Total momentum^2)-(Angular Momentum^2))
angular_momentum = sqrt((Total momentum^2)-(Radial momentum^2))

Where is the Angular momentum of electron calculator used?

Among many, Angular momentum of electron calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}

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