Angular Quantization Number of Electron in Elliptical Orbit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angular Quantization Number = Quantum Number-Radial Quantization Number
nφ = nquantum-nr
This formula uses 3 Variables
Variables Used
Angular Quantization Number - Angular Quantization Number is the number of de Broglie waves included in the angular orbits.
Quantum Number - Quantum Number describe values of conserved quantities in the dynamics of a quantum system.
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
Quantum Number: 8 --> No Conversion Required
Radial Quantization Number: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
nφ = nquantum-nr --> 8-2
Evaluating ... ...
nφ = 6
STEP 3: Convert Result to Output's Unit
6 --> No Conversion Required
FINAL ANSWER
6 <-- Angular Quantization Number
(Calculation completed in 00.004 seconds)

Credits

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Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
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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 Quantization Number of Electron in Elliptical Orbit Formula

​LaTeX ​Go
Angular Quantization Number = Quantum Number-Radial Quantization Number
nφ = nquantum-nr

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 Quantization Number of Electron in Elliptical Orbit?

Angular Quantization Number of Electron in Elliptical Orbit calculator uses Angular Quantization Number = Quantum Number-Radial Quantization Number to calculate the Angular Quantization Number, The Angular quantization number of electron in elliptical orbit is the number of de Broglie waves included in the angular orbits. Angular Quantization Number is denoted by nφ symbol.

How to calculate Angular Quantization Number of Electron in Elliptical Orbit using this online calculator? To use this online calculator for Angular Quantization Number of Electron in Elliptical Orbit, enter Quantum Number (nquantum) & Radial Quantization Number (nr) and hit the calculate button. Here is how the Angular Quantization Number of Electron in Elliptical Orbit calculation can be explained with given input values -> 6 = 8-2.

FAQ

What is Angular Quantization Number of Electron in Elliptical Orbit?
The Angular quantization number of electron in elliptical orbit is the number of de Broglie waves included in the angular orbits and is represented as nφ = nquantum-nr or Angular Quantization Number = Quantum Number-Radial Quantization Number. Quantum Number describe values of conserved quantities in the dynamics of a quantum system & Radial Quantization Number is the number of de Broglie waves included in the radial orbits.
How to calculate Angular Quantization Number of Electron in Elliptical Orbit?
The Angular quantization number of electron in elliptical orbit is the number of de Broglie waves included in the angular orbits is calculated using Angular Quantization Number = Quantum Number-Radial Quantization Number. To calculate Angular Quantization Number of Electron in Elliptical Orbit, you need Quantum Number (nquantum) & Radial Quantization Number (nr). With our tool, you need to enter the respective value for Quantum Number & 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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