## Energy Eigen Values for 1D SHO Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy Eigen Values of 1D SHO = (Energy Levels of 1D Oscillator+0.5)*([h-])*(Angular Frequency of Oscillator)
En = (n+0.5)*([h-])*(ω)
This formula uses 1 Constants, 3 Variables
Constants Used
[h-] - Reduced Planck constant Value Taken As [hP] / (2 * pi)
Variables Used
Energy Eigen Values of 1D SHO - (Measured in Joule) - Energy Eigen Values of 1D SHO is the energy possessed by a particle residing in that particular level.
Energy Levels of 1D Oscillator - Energy Levels of 1D Oscillator are the quantised levels in which a particle may be present.
Angular Frequency of Oscillator - (Measured in Radian per Second) - Angular Frequency of Oscillator is the angular displacement of any element of the wave per unit of time or the rate of change of the phase of the waveform.
STEP 1: Convert Input(s) to Base Unit
Energy Levels of 1D Oscillator: 2 --> No Conversion Required
Angular Frequency of Oscillator: 1.666 Radian per Second --> 1.666 Radian per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
En = (n+0.5)*([h-])*(ω) --> (2+0.5)*([h-])*(1.666)
Evaluating ... ...
En = 4.3922915475794E-34
STEP 3: Convert Result to Output's Unit
4.3922915475794E-34 Joule --> No Conversion Required
4.3922915475794E-34 4.4E-34 Joule <-- Energy Eigen Values of 1D SHO
(Calculation completed in 00.004 seconds)
You are here -
Home »

## Credits

Created by Ritacheta Sen
University of Calcutta (C.U), Kolkata
Ritacheta Sen has created this Calculator and 25+ more calculators!
Verified by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
Soupayan banerjee has verified this Calculator and 500+ more calculators!

## < 5 Simple Harmonic Oscillator Calculators

Energy Eigen Values for 2D SHO
Energy Eigen Values of 2D SHO = (Energy Levels of 2D Oscillator+Energy Levels of 2D Oscillator along y Direction+1)*[h-]*Angular Frequency of Oscillator
Energy Eigen Values for 1D SHO
Energy Eigen Values of 1D SHO = (Energy Levels of 1D Oscillator+0.5)*([h-])*(Angular Frequency of Oscillator)
Restoring Force of Diatomic Vibrating Molecule
Restoring Force of Vibrating Diatomic Molecule = -(Force Constant of Vibrating Molecule*Displacement of Vibrating Atoms)
Potential Energy of Vibrating Atom
Potential Energy of Vibrating Atom = 0.5*(Force Constant of Vibrating Molecule*(Displacement of Vibrating Atoms)^2)
Zero Point Energy of Particle in 1D SHO
Zero Point Energy of 1D SHO = 0.5*[h-]*Angular Frequency of Oscillator

## Energy Eigen Values for 1D SHO Formula

Energy Eigen Values of 1D SHO = (Energy Levels of 1D Oscillator+0.5)*([h-])*(Angular Frequency of Oscillator)
En = (n+0.5)*([h-])*(ω)

## What is the significance of the energy spectrum of the one dimensional oscillator ?

The energy spectrum of the one dimensional oscillator is noteworthy for two reasons. First, the energies are quantized, meaning that only discrete energy values (integer-plus-half multiples of ħω) are possible; this is a general feature of quantum-mechanical systems when a particle is confined. Second, these discrete energy levels are equally spaced, unlike in the Bohr model of the atom, or the particle in a box.

## How to Calculate Energy Eigen Values for 1D SHO?

Energy Eigen Values for 1D SHO calculator uses Energy Eigen Values of 1D SHO = (Energy Levels of 1D Oscillator+0.5)*([h-])*(Angular Frequency of Oscillator) to calculate the Energy Eigen Values of 1D SHO, The Energy Eigen Values for 1D SHO formula is defined as the energy that a particle possess residing in that quantised energy level. Energy Eigen Values of 1D SHO is denoted by En symbol.

How to calculate Energy Eigen Values for 1D SHO using this online calculator? To use this online calculator for Energy Eigen Values for 1D SHO, enter Energy Levels of 1D Oscillator (n) & Angular Frequency of Oscillator (ω) and hit the calculate button. Here is how the Energy Eigen Values for 1D SHO calculation can be explained with given input values -> 4.4E-34 = (2+0.5)*([h-])*(1.666).

### FAQ

What is Energy Eigen Values for 1D SHO?
The Energy Eigen Values for 1D SHO formula is defined as the energy that a particle possess residing in that quantised energy level and is represented as En = (n+0.5)*([h-])*(ω) or Energy Eigen Values of 1D SHO = (Energy Levels of 1D Oscillator+0.5)*([h-])*(Angular Frequency of Oscillator). Energy Levels of 1D Oscillator are the quantised levels in which a particle may be present & Angular Frequency of Oscillator is the angular displacement of any element of the wave per unit of time or the rate of change of the phase of the waveform.
How to calculate Energy Eigen Values for 1D SHO?
The Energy Eigen Values for 1D SHO formula is defined as the energy that a particle possess residing in that quantised energy level is calculated using Energy Eigen Values of 1D SHO = (Energy Levels of 1D Oscillator+0.5)*([h-])*(Angular Frequency of Oscillator). To calculate Energy Eigen Values for 1D SHO, you need Energy Levels of 1D Oscillator (n) & Angular Frequency of Oscillator (ω). With our tool, you need to enter the respective value for Energy Levels of 1D Oscillator & Angular Frequency of Oscillator and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well. Let Others Know