Vibrational Wavenumber given Vibrational Energy Calculator

✖Vibrational Energy is the total energy of the respective rotation-vibration levels of a diatomic molecule.ⓘ Vibrational Energy [E_vf]			+10% -10%
✖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 given VE is simply the harmonic vibrational frequency or energy expressed in units of cm inverse.ⓘ Vibrational Wavenumber given Vibrational Energy [ω'_ve]

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Vibrational Wavenumber given Vibrational Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vibrational Wavenumber given VE = Vibrational Energy/(Vibrational Quantum Number+1/2)
ω'_ve = E_vf/(v+1/2)
This formula uses 3 Variables

Variables Used

Vibrational Wavenumber given VE - Vibrational Wavenumber given VE is simply the harmonic vibrational frequency or energy expressed in units of cm inverse.
Vibrational Energy - (Measured in Joule) - Vibrational Energy 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.

STEP 1: Convert Input(s) to Base Unit

Vibrational Energy: 100 Joule --> 100 Joule No Conversion Required
Vibrational Quantum Number: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω'_ve = E_vf/(v+1/2) --> 100/(2+1/2)

Evaluating ... ...

ω'_ve = 40

STEP 3: Convert Result to Output's Unit

40 --> No Conversion Required

FINAL ANSWER

40 <-- Vibrational Wavenumber given VE

(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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Verified by Pragati Jaju

College Of Engineering (COEP), Pune

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< Vibrational Energy Levels Calculators

Energy of Vibrational Transitions

LaTeX 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

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

Vibrational Energy

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

Dissociation Energy of Potential

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

< Vibrational energy levels Calculators

Anharmonicity Constant given Dissociation Energy

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

Dissociation Energy given Vibrational Wavenumber

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

Dissociation Energy of Potential using Zero Point Energy

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

Dissociation Energy of Potential

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

Vibrational Wavenumber given Vibrational Energy Formula

LaTeX Go

Vibrational Wavenumber given VE = Vibrational Energy/(Vibrational Quantum Number+1/2)
ω'_ve = E_vf/(v+1/2)

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 Wavenumber given Vibrational Energy?

Vibrational Wavenumber given Vibrational Energy calculator uses Vibrational Wavenumber given VE = Vibrational Energy/(Vibrational Quantum Number+1/2) to calculate the Vibrational Wavenumber given VE, The Vibrational Wavenumber given Vibrational Energy formula is defined as simply the harmonic vibrational frequency or energy expressed in units of cm inverse. Vibrational Wavenumber given VE is denoted by ω'_ve symbol.

How to calculate Vibrational Wavenumber given Vibrational Energy using this online calculator? To use this online calculator for Vibrational Wavenumber given Vibrational Energy, enter Vibrational Energy (E_vf) & Vibrational Quantum Number (v) and hit the calculate button. Here is how the Vibrational Wavenumber given Vibrational Energy calculation can be explained with given input values -> 40 = 100/(2+1/2).

FAQ

What is Vibrational Wavenumber given Vibrational Energy?

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

How to calculate Vibrational Wavenumber given Vibrational Energy?

The Vibrational Wavenumber given Vibrational Energy formula is defined as simply the harmonic vibrational frequency or energy expressed in units of cm inverse is calculated using Vibrational Wavenumber given VE = Vibrational Energy/(Vibrational Quantum Number+1/2). To calculate Vibrational Wavenumber given Vibrational Energy, you need Vibrational Energy (E_vf) & Vibrational Quantum Number (v). With our tool, you need to enter the respective value for Vibrational Energy & Vibrational Quantum Number 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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