Radial Momentum of Electron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radial Momentum = (Radial Quantization Number*[hP])/(2*pi)
pr = (nr*[hP])/(2*pi)
This formula uses 2 Constants, 2 Variables
Constants Used
[hP] - Planck constant Value Taken As 6.626070040E-34 Kilogram Meter² / Second
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Radial Momentum - (Measured in Kilogram Meter per Second) - Radial Momentum is a vector quantity that is a measure of the rotational momentum of a rotating electron in an elliptical orbit.
Radial Quantization Number - Radial Quantization Number is the number of de Broglie waves included in the radial orbits.
STEP 1: Convert Input(s) to Base Unit
Radial Quantization Number: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
pr = (nr*[hP])/(2*pi) --> (2*[hP])/(2*pi)
Evaluating ... ...
pr = 2.10914360027823E-34
STEP 3: Convert Result to Output's Unit
2.10914360027823E-34 Kilogram Meter per Second --> No Conversion Required
FINAL ANSWER
2.10914360027823E-34 Kilogram Meter per Second <-- Radial Momentum
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
Verified by Suman Ray Pramanik
Indian Institute of Technology (IIT), Kanpur
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9 Sommerfeld Model Calculators

Energy of 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
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
Total Momentum of Electrons in Elliptical Orbit
Total Momentum = sqrt((Angular Momentum^2)+(Radial Momentum^2)) Go
Radial Momentum of 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

Radial Momentum of Electron Formula

Radial Momentum = (Radial Quantization Number*[hP])/(2*pi)
pr = (nr*[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 Radial Momentum of Electron?

Radial Momentum of Electron calculator uses Radial Momentum = (Radial Quantization Number*[hP])/(2*pi) to calculate the Radial Momentum, The Radial momentum of electron is a measure of the rotational momentum of a rotating electron in an elliptical orbit. Radial Momentum is denoted by pr symbol.

How to calculate Radial Momentum of Electron using this online calculator? To use this online calculator for Radial Momentum of Electron, enter Radial Quantization Number (nr) and hit the calculate button. Here is how the Radial Momentum of Electron calculation can be explained with given input values -> 2.109E-34 = (2*[hP])/(2*pi).

FAQ

What is Radial Momentum of Electron?
The Radial momentum of electron is a measure of the rotational momentum of a rotating electron in an elliptical orbit and is represented as pr = (nr*[hP])/(2*pi) or Radial Momentum = (Radial Quantization Number*[hP])/(2*pi). Radial Quantization Number is the number of de Broglie waves included in the radial orbits.
How to calculate Radial Momentum of Electron?
The Radial momentum of electron is a measure of the rotational momentum of a rotating electron in an elliptical orbit is calculated using Radial Momentum = (Radial Quantization Number*[hP])/(2*pi). To calculate Radial Momentum of Electron, you need Radial Quantization Number (nr). With our tool, you need to enter the respective value for Radial Quantization 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 Radial Momentum?
In this formula, Radial Momentum uses Radial Quantization Number. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Radial Momentum = sqrt((Total Momentum^2)-(Angular Momentum^2))
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