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Vibrational Energy Formula

GoEnergy of Vibrational Transitions Formula

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

E t = (v + \frac{1}{2}) \cdot ([hP] \cdot v vib)

E_t - Vibrational Energy in Transition?v - Vibrational Quantum Number?v_vib - Vibrational Frequency?[hP] - Planck constant?

Vibrational Energy Example

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

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

Here is how the Vibrational Energy equation looks like.

2.2E-33 = (2 + \frac{1}{2}) \cdot (6.6E-34 \cdot 1.3)

2.2E-33J = (2 + \frac{1}{2}) \cdot (6.6E-34 \cdot 1.3Hz)

2.2E-33 = (2 + \frac{1}{2}) \cdot (6.6E-34 \cdot 1.3)

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Vibrational Energy Solution

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

FIRST Step Consider the formula

E t = (v + \frac{1}{2}) \cdot ([hP] \cdot v vib)

Next Step Substitute values of Variables

∴

E t = (2 + \frac{1}{2}) \cdot ([hP] \cdot 1.3Hz)

Next Step Substitute values of Constants

∴

E t = (2 + \frac{1}{2}) \cdot (6.6E-34 \cdot 1.3Hz)

Next Step Prepare to Evaluate

∴

E t = (2 + \frac{1}{2}) \cdot (6.6E-34 \cdot 1.3)

Next Step Evaluate

∴

E t = 2.153472763E-33J

LAST Step Rounding Answer

∴

E t = 2.2E-33J

Vibrational Energy Formula Elements

Variables

Constants

Vibrational Energy in Transition

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

Symbol: E_t

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Vibrational Energy in Transition

Vibrational Quantum Number

Vibrational quantum number describes values of conserved quantities in the dynamics of a quantum system in a diatomic molecule.

Symbol: v

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Vibrational Quantum Number

Vibrational Frequency

The Vibrational Frequency is the frequency of photons on the excited state.

Symbol: v_vib

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Vibrational Frequency

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Other Formulas to find Vibrational Energy in Transition

Go Energy of Vibrational Transitions

E t = ((v + \frac{1}{2}) - x e \cdot ({(v + \frac{1}{2})}^{2})) \cdot ([hP] \cdot v vib)

Other formulas in Vibrational Energy Levels category

Go Anharmonicity Constant given Dissociation Energy

x e = \frac{{(ω')}^{2}}{4 \cdot D e \cdot ω'}

Go Dissociation Energy given Vibrational Wavenumber

D e = \frac{{ω'}^{2}}{4 \cdot x e \cdot ω'}

Go Dissociation Energy of Potential

D ae = E vf \cdot v max

Go Dissociation Energy of Potential using Zero Point Energy

D e = D 0 + E 0

How to Evaluate Vibrational Energy?

Vibrational Energy evaluator uses Vibrational Energy in Transition = (Vibrational Quantum Number+1/2)*([hP]*Vibrational Frequency) to evaluate the Vibrational Energy in Transition, The Vibrational energy formula is defined as the total energy of the respective rotation-vibration levels of a diatomic molecule. Vibrational Energy in Transition is denoted by E_t symbol.

How to evaluate Vibrational Energy using this online evaluator? To use this online evaluator for Vibrational Energy, enter Vibrational Quantum Number (v) & Vibrational Frequency (v_vib) and hit the calculate button.

FAQs on Vibrational Energy

What is the formula to find Vibrational Energy?

The formula of Vibrational Energy is expressed as Vibrational Energy in Transition = (Vibrational Quantum Number+1/2)*([hP]*Vibrational Frequency). Here is an example- 2.2E-33 = (2+1/2)*([hP]*1.3).

How to calculate Vibrational Energy?

With Vibrational Quantum Number (v) & Vibrational Frequency (v_vib) we can find Vibrational Energy using the formula - Vibrational Energy in Transition = (Vibrational Quantum Number+1/2)*([hP]*Vibrational Frequency). This formula also uses Planck constant .

What are the other ways to Calculate Vibrational Energy in Transition?

Here are the different ways to Calculate Vibrational Energy in Transition-

Vibrational Energy in Transition=((Vibrational Quantum Number+1/2)-Anharmonicity Constant*((Vibrational Quantum Number+1/2)^2))*([hP]*Vibrational Frequency)

Can the Vibrational Energy be negative?

Yes, the Vibrational Energy, measured in Energy can be negative.

Which unit is used to measure Vibrational Energy?

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

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Vibrational Energy Formula

​GoEnergy of Vibrational Transitions Formula

Vibrational Energy Example

Vibrational Energy Solution

Vibrational Energy Formula Elements

Other Formulas to find Vibrational Energy in Transition

Other formulas in Vibrational Energy Levels category

How to Evaluate Vibrational Energy?

FAQs on Vibrational Energy

Variable Name

GoEnergy of Vibrational Transitions Formula