Quantum Number of Electron in Elliptical Orbit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Quantum Number = Radial Quantization Number+Angular Quantization Number
nquantum = nr+nφ
This formula uses 3 Variables
Variables Used
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.
Angular Quantization Number - Angular Quantization Number is the number of de Broglie waves included in the angular orbits.
STEP 1: Convert Input(s) to Base Unit
Radial Quantization Number: 2 --> No Conversion Required
Angular Quantization Number: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
nquantum = nr+nφ --> 2+3
Evaluating ... ...
nquantum = 5
STEP 3: Convert Result to Output's Unit
5 --> No Conversion Required
FINAL ANSWER
5 <-- Quantum Number
(Calculation completed in 00.020 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

Quantum Number of Electron in Elliptical Orbit Formula

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

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 Quantum Number of Electron in Elliptical Orbit?

Quantum Number of Electron in Elliptical Orbit calculator uses Quantum Number = Radial Quantization Number+Angular Quantization Number to calculate the Quantum Number, The Quantum number of electron in elliptical orbit or the energy levels of an electron is the set of numbers used to describe the position and energy of the electron in an atom. Quantum Number is denoted by nquantum symbol.

How to calculate Quantum Number of Electron in Elliptical Orbit using this online calculator? To use this online calculator for Quantum Number of Electron in Elliptical Orbit, enter Radial Quantization Number (nr) & Angular Quantization Number (nφ) and hit the calculate button. Here is how the Quantum Number of Electron in Elliptical Orbit calculation can be explained with given input values -> 5 = 2+3.

FAQ

What is Quantum Number of Electron in Elliptical Orbit?
The Quantum number of electron in elliptical orbit or the energy levels of an electron is the set of numbers used to describe the position and energy of the electron in an atom and is represented as nquantum = nr+nφ or Quantum Number = Radial Quantization Number+Angular Quantization Number. Radial Quantization Number is the number of de Broglie waves included in the radial orbits & Angular Quantization Number is the number of de Broglie waves included in the angular orbits.
How to calculate Quantum Number of Electron in Elliptical Orbit?
The Quantum number of electron in elliptical orbit or the energy levels of an electron is the set of numbers used to describe the position and energy of the electron in an atom is calculated using Quantum Number = Radial Quantization Number+Angular Quantization Number. To calculate Quantum Number of Electron in Elliptical Orbit, you need Radial Quantization Number (nr) & Angular Quantization Number (nφ). With our tool, you need to enter the respective value for Radial Quantization Number & Angular 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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