Radial Momentum of Electron Calculator

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Sommerfeld Model

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De Broglie Hypothesis

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Structure of Atom

✖Radial Quantization Number is the number of de Broglie waves included in the radial orbits.ⓘ Radial Quantization Number [n_r]

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✖Radial Momentum of Electron is a vector quantity that is a measure of the rotational momentum of a rotating electron in an elliptical orbit.ⓘ Radial Momentum of Electron [p_orbit]

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Formula

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Radial Momentum of Electron

Formula

`"p"_{"orbit"} = ("n"_{"r"}*"[hP]")/(2*pi)`

Example

`"2.1E^-34kg*m/s"=("2"*"[hP]")/(2*pi)`

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Radial Momentum of Electron Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Radial Momentum of Electron - (Measured in Kilogram Meter per Second) - Radial Momentum of Electron 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

p_orbit = (n_r*[hP])/(2*pi) --> (2*[hP])/(2*pi)

Evaluating ... ...

p_orbit = 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 ≈ 2.1E-34 Kilogram Meter per Second <-- Radial Momentum of Electron

(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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< 9 Sommerfeld Model Calculators

Energy of Electron in Elliptical Orbit

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 given Angular Momentum

Go Radial Momentum of Electron given AM = sqrt((Total Momentum^2)-(Angular Momentum^2))

Angular Momentum of Electron

Go Angular Momentum of Atom = (Minor Axis of Elliptical Orbit*[hP])/(2*pi)

Radial Momentum of Electron

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

Angular Momentum of Electron given Radial Momentum

Go Angular Momentum given RM = sqrt((Total Momentum^2)-(Radial Momentum^2))

Total Momentum of Electrons in Elliptical Orbit

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

Angular Quantization Number of Electron in Elliptical Orbit

Go Angular Quantization Number = Quantum Number-Radial Quantization Number

Radial Quantization Number of Electron in Elliptical Orbit

Go Radial Quantization Number = Quantum Number-Angular Quantization Number

Quantum Number of Electron in Elliptical Orbit

Go Quantum Number = Radial Quantization Number+Angular Quantization Number

Radial Momentum of Electron Formula

Radial Momentum of Electron = (Radial Quantization Number*[hP])/(2*pi)
p_orbit = (n_r*[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 of Electron = (Radial Quantization Number*[hP])/(2*pi) to calculate the Radial Momentum of Electron, The Radial momentum of electron is a measure of the rotational momentum of a rotating electron in an elliptical orbit. Radial Momentum of Electron is denoted by p_orbit 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 (n_r) and hit the calculate button. Here is how the Radial Momentum of Electron calculation can be explained with given input values -> 2.1E-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 p_orbit = (n_r*[hP])/(2*pi) or Radial Momentum of Electron = (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 of Electron = (Radial Quantization Number*[hP])/(2*pi). To calculate Radial Momentum of Electron, you need Radial Quantization Number (n_r). 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.

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