Energy Gap between Two Orbits Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy of Electron in Orbit = [Rydberg]*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
Eorbit = [Rydberg]*(1/(ninitial^2)-(1/(nfinal^2)))
This formula uses 1 Constants, 3 Variables
Constants Used
[Rydberg] - Rydberg Constant Value Taken As 10973731.6
Variables Used
Energy of Electron in Orbit - (Measured in Joule) - Energy of Electron in Orbit is the process of transfer of electrons in the orbits.
Initial Orbit - Initial Orbit is a number that is related to the principal quantum number or energy quantum number.
Final Orbit - Final Orbit is a number that is related to the principal quantum number or energy quantum number.
STEP 1: Convert Input(s) to Base Unit
Initial Orbit: 3 --> No Conversion Required
Final Orbit: 7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Eorbit = [Rydberg]*(1/(ninitial^2)-(1/(nfinal^2))) --> [Rydberg]*(1/(3^2)-(1/(7^2)))
Evaluating ... ...
Eorbit = 995349.804988662
STEP 3: Convert Result to Output's Unit
995349.804988662 Joule -->6.21248214134111E+24 Electron-Volt (Check conversion ​here)
FINAL ANSWER
6.21248214134111E+24 6.2E+24 Electron-Volt <-- Energy of Electron in Orbit
(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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Electrons and Orbits Calculators

Velocity of Electron in Bohr's Orbit
​ LaTeX ​ Go Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP])
Potential Energy of Electron given Atomic Number
​ LaTeX ​ Go Potential Energy in Ev = (-(Atomic Number*([Charge-e]^2))/Radius of Orbit)
Total Energy of Electron
​ LaTeX ​ Go Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2
Orbital Frequency of Electron
​ LaTeX ​ Go Orbital Frequency = 1/Time Period of Electron

Energy Gap between Two Orbits Formula

​LaTeX ​Go
Energy of Electron in Orbit = [Rydberg]*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
Eorbit = [Rydberg]*(1/(ninitial^2)-(1/(nfinal^2)))

What is energy gap between two orbits?

Bohr’s model can explain the line spectrum of the hydrogen atom. According to assumption 2, radiation is absorbed when an electron goes from orbit of lower energy to higher energy; whereas radiation is emitted when it moves from higher to lower orbit. The energy gap between the two orbits is –
∆E = Ef – Ei where Ef is the energy of final orbit, Ei is the energy of initial orbit
We can further elaborate the final and initial energies into a more distinctive expression.

How to Calculate Energy Gap between Two Orbits?

Energy Gap between Two Orbits calculator uses Energy of Electron in Orbit = [Rydberg]*(1/(Initial Orbit^2)-(1/(Final Orbit^2))) to calculate the Energy of Electron in Orbit, The Energy gap between two orbits is the energy range in an electron between the lowest and highest energy states or levels. Energy of Electron in Orbit is denoted by Eorbit symbol.

How to calculate Energy Gap between Two Orbits using this online calculator? To use this online calculator for Energy Gap between Two Orbits, enter Initial Orbit (ninitial) & Final Orbit (nfinal) and hit the calculate button. Here is how the Energy Gap between Two Orbits calculation can be explained with given input values -> 3.9E+43 = [Rydberg]*(1/(3^2)-(1/(7^2))).

FAQ

What is Energy Gap between Two Orbits?
The Energy gap between two orbits is the energy range in an electron between the lowest and highest energy states or levels and is represented as Eorbit = [Rydberg]*(1/(ninitial^2)-(1/(nfinal^2))) or Energy of Electron in Orbit = [Rydberg]*(1/(Initial Orbit^2)-(1/(Final Orbit^2))). Initial Orbit is a number that is related to the principal quantum number or energy quantum number & Final Orbit is a number that is related to the principal quantum number or energy quantum number.
How to calculate Energy Gap between Two Orbits?
The Energy gap between two orbits is the energy range in an electron between the lowest and highest energy states or levels is calculated using Energy of Electron in Orbit = [Rydberg]*(1/(Initial Orbit^2)-(1/(Final Orbit^2))). To calculate Energy Gap between Two Orbits, you need Initial Orbit (ninitial) & Final Orbit (nfinal). With our tool, you need to enter the respective value for Initial Orbit & Final Orbit and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Energy of Electron in Orbit?
In this formula, Energy of Electron in Orbit uses Initial Orbit & Final Orbit. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Energy of Electron in Orbit = (-([Rydberg]/(Initial Orbit^2)))
  • Energy of Electron in Orbit = (-([Rydberg]/(Final Quantum Number^2)))
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