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National Institute of Information Technology (NIIT), Neemrana
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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)

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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