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Vibrational Energy Modeled as Harmonic Oscillator Formula

GoVibrational Energy of Linear Molecule Formula

GoVibrational Energy of Non-Linear Molecule Formula

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Vibrational Energy is the total energy of the respective rotation-vibration levels of a diatomic molecule. Check FAQs

E vf = (\frac{p^{2}}{2 \cdot Mass flight path}) + (0.5 \cdot K spring \cdot ({Δx}^{2}))

E_vf - Vibrational Energy?p - Momentum of Harmonic Oscillator?Mass_{flight path} - Mass?K_spring - Spring Constant?Δx - Change in Position?

Vibrational Energy Modeled as Harmonic Oscillator Example

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Here is how the Vibrational Energy Modeled as Harmonic Oscillator equation looks like with Values.

Here is how the Vibrational Energy Modeled as Harmonic Oscillator equation looks like with Units.

Here is how the Vibrational Energy Modeled as Harmonic Oscillator equation looks like.

5738.9104 = (\frac{10^{2}}{2 \cdot 35.45}) + (0.5 \cdot 51 \cdot (15^{2}))

5738.9104J = (\frac{{10kg*m/s}^{2}}{2 \cdot 35.45kg}) + (0.5 \cdot 51N/m \cdot ({15m}^{2}))

5738.9104 = (\frac{10^{2}}{2 \cdot 35.45}) + (0.5 \cdot 51 \cdot (15^{2}))

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Vibrational Energy Modeled as Harmonic Oscillator Solution

Follow our step by step solution on how to calculate Vibrational Energy Modeled as Harmonic Oscillator?

FIRST Step Consider the formula

E vf = (\frac{p^{2}}{2 \cdot Mass flight path}) + (0.5 \cdot K spring \cdot ({Δx}^{2}))

Next Step Substitute values of Variables

∴

E vf = (\frac{{10kg*m/s}^{2}}{2 \cdot 35.45kg}) + (0.5 \cdot 51N/m \cdot ({15m}^{2}))

Next Step Prepare to Evaluate

∴

E vf = (\frac{10^{2}}{2 \cdot 35.45}) + (0.5 \cdot 51 \cdot (15^{2}))

Next Step Evaluate

∴

E vf = 5738.91043723554J

LAST Step Rounding Answer

∴

E vf = 5738.9104J

Vibrational Energy Modeled as Harmonic Oscillator Formula Elements

Variables

Vibrational Energy

Vibrational Energy is the total energy of the respective rotation-vibration levels of a diatomic molecule.

Symbol: E_vf

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Vibrational Energy

Momentum of Harmonic Oscillator

Momentum of Harmonic Oscillator is associated with the linear momentum.

Symbol: p

Measurement: MomentumUnit: kg*m/s

Note: Value can be positive or negative.

Formulas to find Momentum of Harmonic Oscillator

Mass

Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: Mass_{flight path}

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass

Spring Constant

Spring Constant is the displacement of the spring from its equilibrium position.

Symbol: K_spring

Measurement: Stiffness ConstantUnit: N/m

Note: Value should be greater than 0.

Formulas to find Spring Constant

Change in Position

The Change in Position is known as displacement. The word displacement implies that an object has moved, or has been displaced.

Symbol: Δx

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Change in Position

Other Formulas to find Vibrational Energy

Go Vibrational Energy of Linear Molecule

E vf = ((3 \cdot N) - 5) \cdot ([BoltZ] \cdot T)

Go Vibrational Energy of Non-Linear Molecule

E vf = ((3 \cdot N) - 6) \cdot ([BoltZ] \cdot T)

Other formulas in Equipartition Principle and Heat Capacity category

Go Translational Energy

E T = (\frac{{p x}^{2}}{2 \cdot Mass flight path}) + (\frac{{p y}^{2}}{2 \cdot Mass flight path}) + (\frac{{p z}^{2}}{2 \cdot Mass flight path})

Go Rotational Energy of Linear Molecule

E rot = (0.5 \cdot I y \cdot ({ω y}^{2})) + (0.5 \cdot I z \cdot ({ω z}^{2}))

Go Rotational Energy of Non-Linear Molecule

E rot = (0.5 \cdot I y \cdot {ω y}^{2}) + (0.5 \cdot I z \cdot {ω z}^{2}) + (0.5 \cdot I x \cdot {ω x}^{2})

Go Total Kinetic Energy

E total = E T + E rot + E vf

How to Evaluate Vibrational Energy Modeled as Harmonic Oscillator?

Vibrational Energy Modeled as Harmonic Oscillator evaluator uses Vibrational Energy = ((Momentum of Harmonic Oscillator^2)/(2*Mass))+(0.5*Spring Constant*(Change in Position^2)) to evaluate the Vibrational Energy, The Vibrational energy modeled as harmonic oscillator is the kinetic energy an object has due to its vibrational motion. Vibrational Energy is denoted by E_vf symbol.

How to evaluate Vibrational Energy Modeled as Harmonic Oscillator using this online evaluator? To use this online evaluator for Vibrational Energy Modeled as Harmonic Oscillator, enter Momentum of Harmonic Oscillator (p), Mass (Mass_{flight path}), Spring Constant (K_spring) & Change in Position (Δx) and hit the calculate button.

FAQs on Vibrational Energy Modeled as Harmonic Oscillator

What is the formula to find Vibrational Energy Modeled as Harmonic Oscillator?

The formula of Vibrational Energy Modeled as Harmonic Oscillator is expressed as Vibrational Energy = ((Momentum of Harmonic Oscillator^2)/(2*Mass))+(0.5*Spring Constant*(Change in Position^2)). Here is an example- 5738.91 = ((10^2)/(2*35.45))+(0.5*51*(15^2)).

How to calculate Vibrational Energy Modeled as Harmonic Oscillator?

With Momentum of Harmonic Oscillator (p), Mass (Mass_{flight path}), Spring Constant (K_spring) & Change in Position (Δx) we can find Vibrational Energy Modeled as Harmonic Oscillator using the formula - Vibrational Energy = ((Momentum of Harmonic Oscillator^2)/(2*Mass))+(0.5*Spring Constant*(Change in Position^2)).

What are the other ways to Calculate Vibrational Energy?

Here are the different ways to Calculate Vibrational Energy-

Vibrational Energy=((3*Atomicity)-5)*([BoltZ]*Temperature)
Vibrational Energy=((3*Atomicity)-6)*([BoltZ]*Temperature)

Can the Vibrational Energy Modeled as Harmonic Oscillator be negative?

Yes, the Vibrational Energy Modeled as Harmonic Oscillator, measured in Energy can be negative.

Which unit is used to measure Vibrational Energy Modeled as Harmonic Oscillator?

Vibrational Energy Modeled as Harmonic Oscillator is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Vibrational Energy Modeled as Harmonic Oscillator can be measured.

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Vibrational Energy Modeled as Harmonic Oscillator Formula

​GoVibrational Energy of Linear Molecule Formula

​GoVibrational Energy of Non-Linear Molecule Formula

Vibrational Energy Modeled as Harmonic Oscillator Example

Vibrational Energy Modeled as Harmonic Oscillator Solution

Vibrational Energy Modeled as Harmonic Oscillator Formula Elements

Other Formulas to find Vibrational Energy

Other formulas in Equipartition Principle and Heat Capacity category

How to Evaluate Vibrational Energy Modeled as Harmonic Oscillator?

FAQs on Vibrational Energy Modeled as Harmonic Oscillator

Variable Name

GoVibrational Energy of Linear Molecule Formula

GoVibrational Energy of Non-Linear Molecule Formula