Energy Gap between Two Orbits Calculator

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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

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Radius of Bohr's Orbit

✖Initial Orbit is a number that is related to the principal quantum number or energy quantum number.ⓘ Initial Orbit [n_initial]			+10% -10%
✖Final Orbit is a number that is related to the principal quantum number or energy quantum number.ⓘ Final Orbit [n_final]			+10% -10%

✖Energy of Electron in Orbit is the process of transfer of electrons in the orbits.ⓘ Energy Gap between Two Orbits [E_orbit]

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Formula

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Energy Gap between Two Orbits

Formula

`"E"_{"orbit"} = "[Rydberg]"*(1/("n"_{"initial"}^2)-(1/("n"_{"final"}^2)))`

Example

`"6.2E^24eV"="[Rydberg]"*(1/(("3")^2)-(1/(("7")^2)))`

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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)))
E_orbit = [Rydberg]*(1/(n_initial^2)-(1/(n_final^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

E_orbit = [Rydberg]*(1/(n_initial^2)-(1/(n_final^2))) --> [Rydberg]*(1/(3^2)-(1/(7^2)))

Evaluating ... ...

E_orbit = 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)

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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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< 16 Electrons & Orbits Calculators

Change in Wave Number of Moving Particle

Go Wave Number of moving Particle = 1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2)/((Final Quantum Number^2)*(Initial Quantum Number^2))

Change in Wavelength of Moving Particle

Go Wave Number = ((Final Quantum Number^2)*(Initial Quantum Number^2))/(1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2))

Total Energy of Electron in nth Orbit

Go Total Energy of Atom given nth Orbital = (-([Mass-e]*([Charge-e]^4)*(Atomic Number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2)))

Velocity of Electron in Bohr's Orbit

Go Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP])

Energy Gap between Two Orbits

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

Velocity of Electron given Time Period of Electron

Go Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron

Total Energy of Electron given Atomic Number

Go Total Energy of Atom given AN = -(Atomic Number*([Charge-e]^2))/(2*Radius of Orbit)

Potential Energy of Electron given Atomic Number

Go Potential Energy in Ev = (-(Atomic Number*([Charge-e]^2))/Radius of Orbit)

Energy of Electron in Final Orbit

Go Energy of Electron in Orbit = (-([Rydberg]/(Final Quantum Number^2)))

Velocity of Electron in Orbit given Angular Velocity

Go Velocity of Electron given AV = Angular Velocity*Radius of Orbit

Energy of Electron in Initial Orbit

Go Energy of Electron in Orbit = (-([Rydberg]/(Initial Orbit^2)))

Total Energy of Electron

Go Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2

Atomic Mass

Go Atomic Mass = Total Mass of Proton+Total Mass of Neutron

Number of Electrons in nth Shell

Go Number of Electrons in nth Shell = (2*(Quantum Number^2))

Number of Orbitals in nth Shell

Go Number of Orbitals in nth Shell = (Quantum Number^2)

Orbital Frequency of Electron

Go Orbital Frequency = 1/Time Period of Electron

Energy Gap between Two Orbits Formula

Energy of Electron in Orbit = [Rydberg]*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
E_orbit = [Rydberg]*(1/(n_initial^2)-(1/(n_final^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 E_orbit 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 (n_initial) & Final Orbit (n_final) 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 E_orbit = [Rydberg]*(1/(n_initial^2)-(1/(n_final^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 (n_initial) & Final Orbit (n_final). 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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