FormulaDen.com

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

Vibrational Energy of Linear Molecule Formula

GoVibrational Energy Modeled as Harmonic Oscillator Formula

GoVibrational Energy of Non-Linear Molecule Formula

Fx Copy

LaTeX Copy

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

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

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

Vibrational Energy of Linear Molecule Example

With values

With units

Only example

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

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

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

4.7E-21 = ((3 \cdot 3) - 5) \cdot (1.4E-23 \cdot 85)

4.7E-21J = ((3 \cdot 3) - 5) \cdot (1.4E-23J/K \cdot 85K)

4.7E-21 = ((3 \cdot 3) - 5) \cdot (1.4E-23 \cdot 85)

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Kinetic Theory of Gases » Category

Equipartition Principle and Heat Capacity » fx Vibrational Energy of Linear Molecule

Vibrational Energy of Linear Molecule Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E vf = ((3 \cdot 3) - 5) \cdot ([BoltZ] \cdot 85K)

Next Step Substitute values of Constants

∴

E vf = ((3 \cdot 3) - 5) \cdot (1.4E-23J/K \cdot 85K)

Next Step Prepare to Evaluate

∴

E vf = ((3 \cdot 3) - 5) \cdot (1.4E-23 \cdot 85)

Next Step Evaluate

∴

E vf = 4.694204968E-21J

LAST Step Rounding Answer

∴

E vf = 4.7E-21J

Vibrational Energy of 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 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 of Linear Molecule?

Vibrational Energy of Linear Molecule evaluator uses Vibrational Energy = ((3*Atomicity)-5)*([BoltZ]*Temperature) to evaluate the Vibrational Energy, The Vibrational Energy of 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 Linear Molecule using this online evaluator? To use this online evaluator for Vibrational Energy of Linear Molecule, enter Atomicity (N) & Temperature (T) and hit the calculate button.

FAQs on Vibrational Energy of Linear Molecule

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

The formula of Vibrational Energy of Linear Molecule is expressed as Vibrational Energy = ((3*Atomicity)-5)*([BoltZ]*Temperature). Here is an example- 4.7E-21 = ((3*3)-5)*([BoltZ]*85).

How to calculate Vibrational Energy of Linear Molecule?

With Atomicity (N) & Temperature (T) we can find Vibrational Energy of Linear Molecule using the formula - Vibrational Energy = ((3*Atomicity)-5)*([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)-6)*([BoltZ]*Temperature)

Can the Vibrational Energy of Linear Molecule be negative?

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

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

Vibrational Energy of 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 Linear Molecule can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Vibrational Energy of Linear Molecule Formula

​GoVibrational Energy Modeled as Harmonic Oscillator Formula

​GoVibrational Energy of Non-Linear Molecule Formula

Vibrational Energy of Linear Molecule Example

Vibrational Energy of Linear Molecule Solution

Vibrational Energy of 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 Linear Molecule?

FAQs on Vibrational Energy of Linear Molecule

Variable Name

GoVibrational Energy Modeled as Harmonic Oscillator Formula

GoVibrational Energy of Non-Linear Molecule Formula