Vibrational Energy using Vibrational Wave Number Calculator

✖Vibrational quantum number describes values of conserved quantities in the dynamics of a quantum system in a diatomic molecule.ⓘ Vibrational Quantum Number [v]			+10% -10%
✖Vibrational Wavenumber is simply the harmonic vibrational frequency or energy expressed in units of cm inverse.ⓘ Vibrational Wavenumber [ω']			+10% -10%

✖Vibrational Energy given wavenumber is the total energy of the respective rotation-vibration levels of a diatomic molecule.ⓘ Vibrational Energy using Vibrational Wave Number [E_wn]

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Formula

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Vibrational Energy using Vibrational Wave Number

Formula

E wn = (v + \frac{1}{2}) \cdot ω'

Example

37.5 J = (2 + \frac{1}{2}) \cdot 15 /m

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Vibrational Energy using Vibrational Wave Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vibrational Energy given wavenumber = (Vibrational Quantum Number+1/2)*Vibrational Wavenumber
E_wn = (v+1/2)*ω'
This formula uses 3 Variables

Variables Used

Vibrational Energy given wavenumber - (Measured in Joule) - Vibrational Energy given wavenumber is the total energy of the respective rotation-vibration levels of a diatomic molecule.
Vibrational Quantum Number - Vibrational quantum number describes values of conserved quantities in the dynamics of a quantum system in a diatomic molecule.
Vibrational Wavenumber - (Measured in Diopter) - Vibrational Wavenumber is simply the harmonic vibrational frequency or energy expressed in units of cm inverse.

STEP 1: Convert Input(s) to Base Unit

Vibrational Quantum Number: 2 --> No Conversion Required
Vibrational Wavenumber: 15 1 per Meter --> 15 Diopter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_wn = (v+1/2)*ω' --> (2+1/2)*15

Evaluating ... ...

E_wn = 37.5

STEP 3: Convert Result to Output's Unit

37.5 Joule --> No Conversion Required

FINAL ANSWER

37.5 Joule <-- Vibrational Energy given wavenumber

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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College Of Engineering (COEP), Pune

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< Vibrational Energy Levels Calculators

Energy of Vibrational Transitions

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

Dissociation Energy given Vibrational Wavenumber

Go Dissociation Energy of Potential = (Vibrational Wavenumber^2)/(4*Anharmonicity Constant*Vibrational Wavenumber)

Vibrational Energy

Go Vibrational Energy in Transition = (Vibrational Quantum Number+1/2)*([hP]*Vibrational Frequency)

Dissociation Energy of Potential

Go Actual Dissociation Energy of Potential = Vibrational Energy*Max Vibrational Number

< Vibrational energy levels Calculators

Anharmonicity Constant given Dissociation Energy

Go Anharmonicity Constant = ((Vibrational Wavenumber)^2)/(4*Dissociation Energy of Potential*Vibrational Wavenumber)

Dissociation Energy given Vibrational Wavenumber

Go Dissociation Energy of Potential = (Vibrational Wavenumber^2)/(4*Anharmonicity Constant*Vibrational Wavenumber)

Dissociation Energy of Potential using Zero Point Energy

Go Dissociation Energy of Potential = Zero Point Dissociation Energy+Zero Point Energy

Dissociation Energy of Potential

Go Actual Dissociation Energy of Potential = Vibrational Energy*Max Vibrational Number

Vibrational Energy using Vibrational Wave Number Formula

Vibrational Energy given wavenumber = (Vibrational Quantum Number+1/2)*Vibrational Wavenumber
E_wn = (v+1/2)*ω'

What is vibrational energy?

Vibrational spectroscopy looks at the differences in energy between the vibrational modes of a molecule. These are larger than the rotational energy states. This spectroscopy can provide a direct measure of bond strength. The vibration energy levels can be explained using diatomic molecules.
To a first approximation, molecular vibrations can be approximated as simple harmonic oscillators, with an associated energy known as vibrational energy.

How to Calculate Vibrational Energy using Vibrational Wave Number?

Vibrational Energy using Vibrational Wave Number calculator uses Vibrational Energy given wavenumber = (Vibrational Quantum Number+1/2)*Vibrational Wavenumber to calculate the Vibrational Energy given wavenumber, The Vibrational Energy using Vibrational Wave Number formula is defined as the total energy of the respective rotation-vibration levels of a diatomic molecule. Vibrational Energy given wavenumber is denoted by E_wn symbol.

How to calculate Vibrational Energy using Vibrational Wave Number using this online calculator? To use this online calculator for Vibrational Energy using Vibrational Wave Number, enter Vibrational Quantum Number (v) & Vibrational Wavenumber (ω') and hit the calculate button. Here is how the Vibrational Energy using Vibrational Wave Number calculation can be explained with given input values -> 37.5 = (2+1/2)*15.

FAQ

What is Vibrational Energy using Vibrational Wave Number?

The Vibrational Energy using Vibrational Wave Number formula is defined as the total energy of the respective rotation-vibration levels of a diatomic molecule and is represented as E_wn = (v+1/2)*ω' or Vibrational Energy given wavenumber = (Vibrational Quantum Number+1/2)*Vibrational Wavenumber. Vibrational quantum number describes values of conserved quantities in the dynamics of a quantum system in a diatomic molecule & Vibrational Wavenumber is simply the harmonic vibrational frequency or energy expressed in units of cm inverse.

How to calculate Vibrational Energy using Vibrational Wave Number?

The Vibrational Energy using Vibrational Wave Number formula is defined as the total energy of the respective rotation-vibration levels of a diatomic molecule is calculated using Vibrational Energy given wavenumber = (Vibrational Quantum Number+1/2)*Vibrational Wavenumber. To calculate Vibrational Energy using Vibrational Wave Number, you need Vibrational Quantum Number (v) & Vibrational Wavenumber (ω'). With our tool, you need to enter the respective value for Vibrational Quantum Number & Vibrational Wavenumber and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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