Eigenvalue of Energy given Angular Momentum Quantum Number Calculator

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✖Angular Momentum Quantum Number is the quantum number associated with the angular momentum of an atomic electron.ⓘ Angular Momentum Quantum Number [l]			+10% -10%
✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+10% -10%

✖Eigenvalue of Energy is the value of the solution that exists for the time-independent Schrodinger equation only for certain values of energy.ⓘ Eigenvalue of Energy given Angular Momentum Quantum Number [E]

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Formula

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Eigenvalue of Energy given Angular Momentum Quantum Number

Formula

`"E" = ("l"*("l"+1)*("[hP]")^2)/(2*"I")`

Example

`"7.2E^-63J"= ("1.9"*("1.9"+1)*("[hP]")^2)/(2*"0.000168kg·m²")`

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Eigenvalue of Energy given Angular Momentum Quantum Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eigenvalue of Energy = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Moment of Inertia)
E = (l*(l+1)*([hP])^2)/(2*I)
This formula uses 1 Constants, 3 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34 Kilogram Meter² / Second

Variables Used

Eigenvalue of Energy - (Measured in Joule) - Eigenvalue of Energy is the value of the solution that exists for the time-independent Schrodinger equation only for certain values of energy.
Angular Momentum Quantum Number - Angular Momentum Quantum Number is the quantum number associated with the angular momentum of an atomic electron.
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

STEP 1: Convert Input(s) to Base Unit

Angular Momentum Quantum Number: 1.9 --> No Conversion Required
Moment of Inertia: 0.000168 Kilogram Square Meter --> 0.000168 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (l*(l+1)*([hP])^2)/(2*I) --> (1.9*(1.9+1)*([hP])^2)/(2*0.000168)

Evaluating ... ...

E = 7.19986520845746E-63

STEP 3: Convert Result to Output's Unit

7.19986520845746E-63 Joule --> No Conversion Required

FINAL ANSWER

7.19986520845746E-63 ≈ 7.2E-63 Joule <-- Eigenvalue of Energy

(Calculation completed in 00.003 seconds)

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Created by Pratibha

Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India

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National Institute of Technology (NIT), Meghalaya

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< 8 Electronic Spectroscopy Calculators

Eigenvalue of Energy given Angular Momentum Quantum Number

Go Eigenvalue of Energy = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Moment of Inertia)

Binding Energy of Photoelectron

Go Binding Energy of Photoelectron = ([hP]*Photon Frequency)-Kinetic Energy of Photoelectron-Work Function

Frequency of Absorbed Radiation

Go Frequency of Absorbed Radiation = (Energy of Higher State-Energy of Lower State)/[hP]

Rydberg Constant given Compton Wavelength

Go Rydberg Constant = (Fine-Structure Constant)^2/(2*Compton Wavelength)

Coherence Length of Wave

Go Coherence Length = (Wavelength of Wave)^2/(2*Range of Wavelengths)

Wavelength given Angular Wave Number

Go Wavelength of Wave = (2*pi)/Angular Wavenumber

Angular Wavenumber

Go Angular Wavenumber = (2*pi)/Wavelength of Wave

Spectroscopic Wave Number

Go Spectroscopic Wavenumber = 1/Wavelength of Light Wave

Eigenvalue of Energy given Angular Momentum Quantum Number Formula

Eigenvalue of Energy = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Moment of Inertia)
E = (l*(l+1)*([hP])^2)/(2*I)

What does Bohr's model explain?

The Bohr model explains the atomic spectrum of hydrogen (see hydrogen spectral series) as well as various other atoms and ions. It is not perfectly accurate but is a remarkably good approximation in many cases, and historically played an important role in the development of quantum mechanics. The Bohr model posits that electrons revolve around the atomic nucleus in a manner analogous to planets revolving around the sun.

How to Calculate Eigenvalue of Energy given Angular Momentum Quantum Number?

Eigenvalue of Energy given Angular Momentum Quantum Number calculator uses Eigenvalue of Energy = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Moment of Inertia) to calculate the Eigenvalue of Energy, The Eigenvalue of Energy given Angular Momentum Quantum Number is the solution that exists for the time-independent Schrodinger equation only for certain values of energy. Eigenvalue of Energy is denoted by E symbol.

How to calculate Eigenvalue of Energy given Angular Momentum Quantum Number using this online calculator? To use this online calculator for Eigenvalue of Energy given Angular Momentum Quantum Number, enter Angular Momentum Quantum Number (l) & Moment of Inertia (I) and hit the calculate button. Here is how the Eigenvalue of Energy given Angular Momentum Quantum Number calculation can be explained with given input values -> 7.2E-63 = (1.9*(1.9+1)*([hP])^2)/(2*0.000168).

FAQ

What is Eigenvalue of Energy given Angular Momentum Quantum Number?

The Eigenvalue of Energy given Angular Momentum Quantum Number is the solution that exists for the time-independent Schrodinger equation only for certain values of energy and is represented as E = (l*(l+1)*([hP])^2)/(2*I) or Eigenvalue of Energy = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Moment of Inertia). Angular Momentum Quantum Number is the quantum number associated with the angular momentum of an atomic electron & Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

How to calculate Eigenvalue of Energy given Angular Momentum Quantum Number?

The Eigenvalue of Energy given Angular Momentum Quantum Number is the solution that exists for the time-independent Schrodinger equation only for certain values of energy is calculated using Eigenvalue of Energy = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Moment of Inertia). To calculate Eigenvalue of Energy given Angular Momentum Quantum Number, you need Angular Momentum Quantum Number (l) & Moment of Inertia (I). With our tool, you need to enter the respective value for Angular Momentum Quantum Number & Moment of Inertia 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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