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Energy Eigen Values for 2D SHO Formula

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Energy Eigen Values of 2D SHO is the energy possessed by a particle residing in the nx and ny energy levels. Check FAQs
Enx,ny=(nx+ny+1)⋅[h-]⋅ω
Enx,ny - Energy Eigen Values of 2D SHO?nx - Energy Levels of 2D Oscillator along X axis?ny - Energy Levels of 2D Oscillator along Y axis?ω - Angular Frequency of Oscillator?[h-] - Reduced Planck constant?

Energy Eigen Values for 2D SHO Example

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Here is how the Energy Eigen Values for 2D SHO equation looks like with Values.

Here is how the Energy Eigen Values for 2D SHO equation looks like with Units.

Here is how the Energy Eigen Values for 2D SHO equation looks like.

8.8E-34Edit=(2Edit+2Edit+1)⋅1.1E-34⋅1.666Edit
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Energy Eigen Values for 2D SHO Solution

Follow our step by step solution on how to calculate Energy Eigen Values for 2D SHO?

FIRST Step Consider the formula
Enx,ny=(nx+ny+1)⋅[h-]⋅ω
Next Step Substitute values of Variables
∴ Enx,ny=(2+2+1)⋅[h-]⋅1.666rad/s
Next Step Substitute values of Constants
∴ Enx,ny=(2+2+1)⋅1.1E-34⋅1.666rad/s
Next Step Prepare to Evaluate
∴ Enx,ny=(2+2+1)⋅1.1E-34⋅1.666
Next Step Evaluate
∴Enx,ny=8.78458309515881E-34J
LAST Step Rounding Answer
∴Enx,ny=8.8E-34J

Energy Eigen Values for 2D SHO Formula Elements

Variables
Constants
Energy Eigen Values of 2D SHO
Energy Eigen Values of 2D SHO is the energy possessed by a particle residing in the nx and ny energy levels.
Symbol: Enx,ny
Measurement: EnergyUnit: J
Note: Value can be positive or negative.
Formulas to find Energy Eigen Values of 2D SHOOpen Variable
Energy Levels of 2D Oscillator along X axis
Energy Levels of 2D Oscillator along X axis are the quantised energy levels in which a particle may be present.
Symbol: nx
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Energy Levels of 2D Oscillator along X axisOpen Variable
Energy Levels of 2D Oscillator along Y axis
Energy Levels of 2D Oscillator along Y axis are the quantised energy levels in which a particle may be present.
Symbol: ny
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Energy Levels of 2D Oscillator along Y axisOpen Variable
Angular Frequency of Oscillator
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.
Symbol: ω
Measurement: Angular FrequencyUnit: rad/s
Note: Value can be positive or negative.
Formulas to find Angular Frequency of OscillatorOpen Variable
Reduced Planck constant
Reduced Planck constant is a fundamental physical constant that relates the energy of a quantum system to the frequency of its associated wave function.
Symbol: [h-]
Value: 1.054571817E-34

Other formulas in Simple Harmonic Oscillator category

​Go Restoring Force of Diatomic Vibrating Molecule
F=-(k⋅x)
​Go Potential Energy of Vibrating Atom
V=0.5⋅(k⋅(x)2)
​Go Energy Eigen Values for 1D SHO
En=(n+0.5)⋅([h-])⋅(ω)
​Go Zero Point Energy of Particle in 1D SHO
Z.P.E=0.5⋅[h-]⋅ω

How to Evaluate Energy Eigen Values for 2D SHO?

Energy Eigen Values for 2D SHO evaluator uses Energy Eigen Values of 2D SHO = (Energy Levels of 2D Oscillator along X axis+Energy Levels of 2D Oscillator along Y axis+1)*[h-]*Angular Frequency of Oscillator to evaluate the Energy Eigen Values of 2D SHO, The Energy Eigen Values for 2D SHO formula is defined as the energy that a particle possess residing in that quantised energy level. Energy Eigen Values of 2D SHO is denoted by Enx,ny symbol.

How to evaluate Energy Eigen Values for 2D SHO using this online evaluator? To use this online evaluator for Energy Eigen Values for 2D SHO, enter Energy Levels of 2D Oscillator along X axis (nx), Energy Levels of 2D Oscillator along Y axis (ny) & Angular Frequency of Oscillator (ω) and hit the calculate button.

FAQs on Energy Eigen Values for 2D SHO

What is the formula to find Energy Eigen Values for 2D SHO?
The formula of Energy Eigen Values for 2D SHO is expressed as Energy Eigen Values of 2D SHO = (Energy Levels of 2D Oscillator along X axis+Energy Levels of 2D Oscillator along Y axis+1)*[h-]*Angular Frequency of Oscillator. Here is an example- 8.8E-34 = (2+2+1)*[h-]*1.666.
How to calculate Energy Eigen Values for 2D SHO?
With Energy Levels of 2D Oscillator along X axis (nx), Energy Levels of 2D Oscillator along Y axis (ny) & Angular Frequency of Oscillator (ω) we can find Energy Eigen Values for 2D SHO using the formula - Energy Eigen Values of 2D SHO = (Energy Levels of 2D Oscillator along X axis+Energy Levels of 2D Oscillator along Y axis+1)*[h-]*Angular Frequency of Oscillator. This formula also uses Reduced Planck constant .
Can the Energy Eigen Values for 2D SHO be negative?
Yes, the Energy Eigen Values for 2D SHO, measured in Energy can be negative.
Which unit is used to measure Energy Eigen Values for 2D SHO?
Energy Eigen Values for 2D SHO is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Energy Eigen Values for 2D SHO can be measured.
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