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Vibrational Energy of Non-Linear Molecule Formula

GoVibrational Energy Modeled as Harmonic Oscillator Formula

GoVibrational Energy of 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 = ((3 \cdot N) - 6) \cdot ([BoltZ] \cdot T)

E_vf - Vibrational Energy?N - Atomicity?T - Temperature?[BoltZ] - Boltzmann constant?

Vibrational Energy of Non-Linear Molecule Example

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Here is how the Vibrational Energy of Non-Linear Molecule equation looks like with Values.

Here is how the Vibrational Energy of Non-Linear Molecule equation looks like with Units.

Here is how the Vibrational Energy of Non-Linear Molecule equation looks like.

3.5E-21 = ((3 \cdot 3) - 6) \cdot (1.4E-23 \cdot 85)

3.5E-21J = ((3 \cdot 3) - 6) \cdot (1.4E-23J/K \cdot 85K)

3.5E-21 = ((3 \cdot 3) - 6) \cdot (1.4E-23 \cdot 85)

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Vibrational Energy of Non-Linear Molecule Solution

Follow our step by step solution on how to calculate Vibrational Energy of Non-Linear Molecule?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E vf = ((3 \cdot 3) - 6) \cdot ([BoltZ] \cdot 85K)

Next Step Substitute values of Constants

∴

E vf = ((3 \cdot 3) - 6) \cdot (1.4E-23J/K \cdot 85K)

Next Step Prepare to Evaluate

∴

E vf = ((3 \cdot 3) - 6) \cdot (1.4E-23 \cdot 85)

Next Step Evaluate

∴

E vf = 3.520653726E-21J

LAST Step Rounding Answer

∴

E vf = 3.5E-21J

Vibrational Energy of Non-Linear Molecule Formula Elements

Variables

Constants

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

Atomicity

The Atomicity is defined as the total number of atoms present in a molecule or element.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Atomicity

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

Other Formulas to find Vibrational Energy

Go Vibrational Energy Modeled as Harmonic Oscillator

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

Go Vibrational Energy of Linear Molecule

E vf = ((3 \cdot N) - 5) \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 of Non-Linear Molecule?

Vibrational Energy of Non-Linear Molecule evaluator uses Vibrational Energy = ((3*Atomicity)-6)*([BoltZ]*Temperature) to evaluate the Vibrational Energy, The Vibrational Energy of Non-Linear Molecule is defined as the kinetic energy an object has due to its vibrational motion. Vibrational Energy is denoted by E_vf symbol.

How to evaluate Vibrational Energy of Non-Linear Molecule using this online evaluator? To use this online evaluator for Vibrational Energy of Non-Linear Molecule, enter Atomicity (N) & Temperature (T) and hit the calculate button.

FAQs on Vibrational Energy of Non-Linear Molecule

What is the formula to find Vibrational Energy of Non-Linear Molecule?

The formula of Vibrational Energy of Non-Linear Molecule is expressed as Vibrational Energy = ((3*Atomicity)-6)*([BoltZ]*Temperature). Here is an example- 3.5E-21 = ((3*3)-6)*([BoltZ]*85).

How to calculate Vibrational Energy of Non-Linear Molecule?

With Atomicity (N) & Temperature (T) we can find Vibrational Energy of Non-Linear Molecule using the formula - Vibrational Energy = ((3*Atomicity)-6)*([BoltZ]*Temperature). This formula also uses Boltzmann constant .

What are the other ways to Calculate Vibrational Energy?

Here are the different ways to Calculate Vibrational Energy-

Vibrational Energy=((Momentum of Harmonic Oscillator^2)/(2*Mass))+(0.5*Spring Constant*(Change in Position^2))
Vibrational Energy=((3*Atomicity)-5)*([BoltZ]*Temperature)

Can the Vibrational Energy of Non-Linear Molecule be negative?

Yes, the Vibrational Energy of Non-Linear Molecule, measured in Energy can be negative.

Which unit is used to measure Vibrational Energy of Non-Linear Molecule?

Vibrational Energy of Non-Linear Molecule is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Vibrational Energy of Non-Linear Molecule can be measured.

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Vibrational Energy of Non-Linear Molecule Formula

​GoVibrational Energy Modeled as Harmonic Oscillator Formula

​GoVibrational Energy of Linear Molecule Formula

Vibrational Energy of Non-Linear Molecule Example

Vibrational Energy of Non-Linear Molecule Solution

Vibrational Energy of Non-Linear Molecule Formula Elements

Other Formulas to find Vibrational Energy

Other formulas in Equipartition Principle and Heat Capacity category

How to Evaluate Vibrational Energy of Non-Linear Molecule?

FAQs on Vibrational Energy of Non-Linear Molecule

Variable Name

GoVibrational Energy Modeled as Harmonic Oscillator Formula

GoVibrational Energy of Linear Molecule Formula