Radial Quantization Number of Electron in Elliptical Orbit Calculator

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Sommerfeld Model

Bohr's Atomic Model

Compton Effect

De Broglie Hypothesis

Distance of Closest Approach

Heisenberg's Uncertainty Principle

Important Formulas on Bohr's Atomic Model

Photo Electric Effect

Planck Quantum Theory

Rutherford Scattering

Schrodinger Wave Equation

Structure of Atom

✖Quantum Number describe values of conserved quantities in the dynamics of a quantum system.ⓘ Quantum Number [n_quantum]			+10% -10%
✖Angular Quantization Number is the number of de Broglie waves included in the angular orbits.ⓘ Angular Quantization Number [n_φ]			+10% -10%

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

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Formula

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Radial Quantization Number of Electron in Elliptical Orbit

Formula

`"n"_{"r"} = "n"_{"quantum"}-"n"_{"φ"}`

Example

`"5"="8"-"3"`

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Radial Quantization Number of Electron in Elliptical Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radial Quantization Number = Quantum Number-Angular Quantization Number
n_r = n_quantum-n_φ
This formula uses 3 Variables

Variables Used

Radial Quantization Number - Radial Quantization Number is the number of de Broglie waves included in the radial orbits.
Quantum Number - Quantum Number describe values of conserved quantities in the dynamics of a quantum system.
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

Quantum Number: 8 --> No Conversion Required
Angular Quantization Number: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_r = n_quantum-n_φ --> 8-3

Evaluating ... ...

n_r = 5

STEP 3: Convert Result to Output's Unit

5 --> No Conversion Required

FINAL ANSWER

5 <-- Radial Quantization Number

(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 Quantization Number of Electron in Elliptical Orbit Formula

Radial Quantization Number = Quantum Number-Angular Quantization Number
n_r = n_quantum-n_φ

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 Quantization Number of Electron in Elliptical Orbit?

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

How to calculate Radial Quantization Number of Electron in Elliptical Orbit using this online calculator? To use this online calculator for Radial Quantization Number of Electron in Elliptical Orbit, enter Quantum Number (n_quantum) & Angular Quantization Number (n_φ) and hit the calculate button. Here is how the Radial Quantization Number of Electron in Elliptical Orbit calculation can be explained with given input values -> 5 = 8-3.

FAQ

What is Radial Quantization Number of Electron in Elliptical Orbit?

The Radial quantization number of electron in elliptical orbit is the number of de Broglie waves included in the radial orbits and is represented as n_r = n_quantum-n_φ or Radial Quantization Number = Quantum Number-Angular Quantization Number. Quantum Number describe values of conserved quantities in the dynamics of a quantum system & Angular Quantization Number is the number of de Broglie waves included in the angular orbits.

How to calculate Radial Quantization Number of Electron in Elliptical Orbit?

The Radial quantization number of electron in elliptical orbit is the number of de Broglie waves included in the radial orbits is calculated using Radial Quantization Number = Quantum Number-Angular Quantization Number. To calculate Radial Quantization Number of Electron in Elliptical Orbit, you need Quantum Number (n_quantum) & Angular Quantization Number (n_φ). With our tool, you need to enter the respective value for Quantum 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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