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Angular Momentum of Electron Calculator

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

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Angular Momentum of Electron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Momentum of Atom = (Minor Axis of Elliptical Orbit*[hP])/(2*pi)
L_atom = (k*[hP])/(2*pi)
This formula uses 2 Constants, 2 Variables

Constants Used

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

Variables Used

Angular Momentum of Atom - (Measured in Kilogram Square Meter per Second) - Angular Momentum of Atom is the degree to which a body rotates, gives its angular momentum.
Minor Axis of Elliptical Orbit - (Measured in Meter) - Minor Axis of Elliptical Orbit is the line segment that is perpendicular to the major axis and intersects at the center of the ellipse.

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

Evaluating ... ...

L_atom = 1.05457180013911E-33

STEP 3: Convert Result to Output's Unit

1.05457180013911E-33 Kilogram Square Meter per Second --> No Conversion Required

FINAL ANSWER

1.05457180013911E-33 ≈ 1.1E-33 Kilogram Square Meter per Second <-- Angular Momentum of Atom

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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Verified by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

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< Sommerfeld Model Calculators

Energy of Electron in Elliptical Orbit

LaTeX Go Energy of EO = (-((Atomic Number^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(Quantum Number^2)))

Radial Momentum of Electron

LaTeX Go Radial Momentum of Electron = (Radial Quantization Number*[hP])/(2*pi)

Total Momentum of Electrons in Elliptical Orbit

LaTeX Go Total Momentum given EO = sqrt((Angular Momentum^2)+(Radial Momentum^2))

Quantum Number of Electron in Elliptical Orbit

LaTeX Go Quantum Number = Radial Quantization Number+Angular Quantization Number

Angular Momentum of Electron Formula

LaTeX Go

Angular Momentum of Atom = (Minor Axis of Elliptical Orbit*[hP])/(2*pi)
L_atom = (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 of Atom = (Minor Axis of Elliptical Orbit*[hP])/(2*pi) to calculate the Angular Momentum of Atom, The Angular momentum of electron is defined as the rotational equivalent of linear momentum. It is denoted as L. Angular Momentum of Atom is denoted by L_atom 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 -> 1.1E-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_atom = (k*[hP])/(2*pi) or Angular Momentum of Atom = (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 of Atom = (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.

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