Energy of Electron in Elliptical Orbit Calculator

↳

⤿

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

✖Atomic Number is the number of protons present inside the nucleus of an atom of an element.ⓘ Atomic Number [Z]			+10% -10%
✖Quantum Number describe values of conserved quantities in the dynamics of a quantum system.ⓘ Quantum Number [n_quantum]			+10% -10%

✖Energy of EO is the amount of work done.ⓘ Energy of Electron in Elliptical Orbit [E_eo]

⎘ Copy

👎

Formula

✖

Energy of Electron in Elliptical Orbit

Formula

`"E"_{"eo"} = (-(("Z"^2)*"[Mass-e]"*("[Charge-e]"^4))/(8*("[Permitivity-vacuum]"^2)*("[hP]"^2)*("n"_{"quantum"}^2)))`

Example

`"-9.9E^-18J"=(-((("17")^2)*"[Mass-e]"*("[Charge-e]"^4))/(8*("[Permitivity-vacuum]"^2)*("[hP]"^2)*(("8")^2)))`

Calculator

LaTeX

Reset

👍

Download Atomic structure Formula PDF

Energy of Electron in Elliptical Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy of EO = (-((Atomic Number^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(Quantum Number^2)))
E_eo = (-((Z^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(n_quantum^2)))
This formula uses 4 Constants, 3 Variables

Constants Used

[Permitivity-vacuum] - Permittivity of vacuum Value Taken As 8.85E-12
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[Mass-e] - Mass of electron Value Taken As 9.10938356E-31
[hP] - Planck constant Value Taken As 6.626070040E-34

Variables Used

Energy of EO - (Measured in Joule) - Energy of EO is the amount of work done.
Atomic Number - Atomic Number is the number of protons present inside the nucleus of an atom of an element.
Quantum Number - Quantum Number describe values of conserved quantities in the dynamics of a quantum system.

STEP 1: Convert Input(s) to Base Unit

Atomic Number: 17 --> No Conversion Required
Quantum Number: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_eo = (-((Z^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(n_quantum^2))) --> (-((17^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(8^2)))

Evaluating ... ...

E_eo = -9.85280402362298E-18

STEP 3: Convert Result to Output's Unit

-9.85280402362298E-18 Joule --> No Conversion Required

FINAL ANSWER

-9.85280402362298E-18 ≈ -9.9E-18 Joule <-- Energy of EO

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Atomic structure » Sommerfeld Model » Energy of Electron in Elliptical Orbit

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

Suman Ray Pramanik has verified this Calculator and 100+ more calculators!

< 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

Energy of Electron in Elliptical Orbit Formula

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 Energy of Electron in Elliptical Orbit?

Energy of Electron in Elliptical Orbit calculator uses Energy of EO = (-((Atomic Number^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(Quantum Number^2))) to calculate the Energy of EO, The Energy of electron in elliptical orbit is defined as is the energy consumed by a particle/electron to move in an elliptical orbit. Energy of EO is denoted by E_eo symbol.

How to calculate Energy of Electron in Elliptical Orbit using this online calculator? To use this online calculator for Energy of Electron in Elliptical Orbit, enter Atomic Number (Z) & Quantum Number (n_quantum) and hit the calculate button. Here is how the Energy of Electron in Elliptical Orbit calculation can be explained with given input values -> -9.9E-18 = (-((17^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(8^2))).

FAQ

What is Energy of Electron in Elliptical Orbit?

The Energy of electron in elliptical orbit is defined as is the energy consumed by a particle/electron to move in an elliptical orbit and is represented as E_eo = (-((Z^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(n_quantum^2))) or Energy of EO = (-((Atomic Number^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(Quantum Number^2))). Atomic Number is the number of protons present inside the nucleus of an atom of an element & Quantum Number describe values of conserved quantities in the dynamics of a quantum system.

How to calculate Energy of Electron in Elliptical Orbit?

The Energy of electron in elliptical orbit is defined as is the energy consumed by a particle/electron to move in an elliptical orbit is calculated using Energy of EO = (-((Atomic Number^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(Quantum Number^2))). To calculate Energy of Electron in Elliptical Orbit, you need Atomic Number (Z) & Quantum Number (n_quantum). With our tool, you need to enter the respective value for Atomic Number & Quantum Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search