FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Energy Eigen Values for 1D SHO Formula

Fx Copy

LaTeX Copy

Energy Eigen Values of 1D SHO is the energy possessed by a particle residing in that particular level. Check FAQs

E n = (n + 0.5) \cdot ([h-]) \cdot (ω)

E_n - Energy Eigen Values of 1D SHO?n - Energy Levels of 1D Oscillator?ω - Angular Frequency of Oscillator?[h-] - Reduced Planck constant?

Energy Eigen Values for 1D SHO Example

With values

With units

Only example

Here is how the Energy Eigen Values for 1D SHO equation looks like with Values.

Here is how the Energy Eigen Values for 1D SHO equation looks like with Units.

Here is how the Energy Eigen Values for 1D SHO equation looks like.

4.4E-34 = (2 + 0.5) \cdot (1.1E-34) \cdot (1.666)

4.4E-34J = (2 + 0.5) \cdot (1.1E-34) \cdot (1.666rad/s)

4.4E-34 = (2 + 0.5) \cdot (1.1E-34) \cdot (1.666)

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Quantum » Category

Simple Harmonic Oscillator » fx Energy Eigen Values for 1D SHO

Energy Eigen Values for 1D SHO Solution

Follow our step by step solution on how to calculate Energy Eigen Values for 1D SHO?

FIRST Step Consider the formula

E n = (n + 0.5) \cdot ([h-]) \cdot (ω)

Next Step Substitute values of Variables

∴

E n = (2 + 0.5) \cdot ([h-]) \cdot (1.666rad/s)

Next Step Substitute values of Constants

∴

E n = (2 + 0.5) \cdot (1.1E-34) \cdot (1.666rad/s)

Next Step Prepare to Evaluate

∴

E n = (2 + 0.5) \cdot (1.1E-34) \cdot (1.666)

Next Step Evaluate

∴

E n = 4.3922915475794E-34J

LAST Step Rounding Answer

∴

E n = 4.4E-34J

Energy Eigen Values for 1D SHO Formula Elements

Variables

Constants

Energy Eigen Values of 1D SHO

Energy Eigen Values of 1D SHO is the energy possessed by a particle residing in that particular level.

Symbol: E_n

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Energy Eigen Values of 1D SHO

Energy Levels of 1D Oscillator

Energy Levels of 1D Oscillator are the quantised levels in which a particle may be present.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Energy Levels of 1D Oscillator

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 Oscillator

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 \cdot x)

Go Potential Energy of Vibrating Atom

V = 0.5 \cdot (k \cdot {(x)}^{2})

Go Zero Point Energy of Particle in 1D SHO

Z.P.E = 0.5 \cdot [h-] \cdot ω

Go Energy Eigen Values for 2D SHO

E nx,ny = (n x + n y + 1) \cdot [h-] \cdot ω

How to Evaluate Energy Eigen Values for 1D SHO?

Energy Eigen Values for 1D SHO evaluator uses Energy Eigen Values of 1D SHO = (Energy Levels of 1D Oscillator+0.5)*([h-])*(Angular Frequency of Oscillator) to evaluate 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 E_n symbol.

How to evaluate Energy Eigen Values for 1D SHO using this online evaluator? To use this online evaluator for Energy Eigen Values for 1D SHO, enter Energy Levels of 1D Oscillator (n) & Angular Frequency of Oscillator (ω) and hit the calculate button.

FAQs on Energy Eigen Values for 1D SHO

What is the formula to find Energy Eigen Values for 1D SHO?

The formula of Energy Eigen Values for 1D SHO is expressed as Energy Eigen Values of 1D SHO = (Energy Levels of 1D Oscillator+0.5)*([h-])*(Angular Frequency of Oscillator). Here is an example- 4.4E-34 = (2+0.5)*([h-])*(1.666).

How to calculate Energy Eigen Values for 1D SHO?

With Energy Levels of 1D Oscillator (n) & Angular Frequency of Oscillator (ω) we can find Energy Eigen Values for 1D SHO using the formula - Energy Eigen Values of 1D SHO = (Energy Levels of 1D Oscillator+0.5)*([h-])*(Angular Frequency of Oscillator). This formula also uses Reduced Planck constant .

Can the Energy Eigen Values for 1D SHO be negative?

Yes, the Energy Eigen Values for 1D SHO, measured in Energy can be negative.

Which unit is used to measure Energy Eigen Values for 1D SHO?

Energy Eigen Values for 1D 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 1D SHO can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Energy Eigen Values for 1D SHO Formula

Energy Eigen Values for 1D SHO Example

Energy Eigen Values for 1D SHO Solution

Energy Eigen Values for 1D SHO Formula Elements

Other formulas in Simple Harmonic Oscillator category

How to Evaluate Energy Eigen Values for 1D SHO?

FAQs on Energy Eigen Values for 1D SHO

Variable Name