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Vibrational Energy using Vibrational Wave Number Calculator

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✖Vibrational quantum number describes values of conserved quantities in the dynamics of a quantum system in a diatomic molecule.ⓘ Vibrational Quantum Number [v]
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✖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 [Ewn]
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Vibrational Energy using Vibrational Wave Number

Formula
`"E"_{"wn"} = ("v"+1/2)*"ω'"`

Example
`"37.5J"=("2"+1/2)*"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
Ewn = (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
Ewn = (v+1/2)*ω' --> (2+1/2)*15
Evaluating ... ...
Ewn = 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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Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
Verified by Pragati Jaju
College Of Engineering (COEP), Pune
Pragati Jaju has verified this Calculator and 300+ more calculators!

15 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)
Vibrational energy using Anharmonicity constant
Go Vibrational Energy given xe constant = ((Vibrational Wavenumber)^2)/(4*Anharmonicity Constant*Vibrational Wavenumber*Max Vibrational Number)
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)
Zero Point Energy
Go Zero Point Energy = (1/2*Vibrational Wavenumber)-(1/4*Anharmonicity Constant*Vibrational Wavenumber)
Vibrational Energy
Go Vibrational Energy in Transition = (Vibrational Quantum Number+1/2)*([hP]*Vibrational Frequency)
Vibrational Frequency given Vibrational Energy
Go Vibrational Frequency given VE = Vibrational Energy/(Vibrational Quantum Number+1/2)*[hP]
Vibrational Energy using Vibrational Wave Number
Go Vibrational Energy given wavenumber = (Vibrational Quantum Number+1/2)*Vibrational Wavenumber
Vibrational Wavenumber given Vibrational Energy
Go Vibrational Wavenumber given VE = Vibrational Energy/(Vibrational Quantum Number+1/2)
Vibrational Energy using Dissociation Energy
Go Vibrational Energy given DE = Dissociation Energy of Potential/Max Vibrational Number
Dissociation Energy of Potential using Zero Point Energy
Go Dissociation Energy of Potential = Zero Point Dissociation Energy+Zero Point Energy
Zero Point Energy given Dissociation Energy
Go Zero Point Energy = Dissociation Energy of Potential-Zero Point Dissociation Energy
Dissociation Energy of Potential
Go Actual Dissociation Energy of Potential = Vibrational Energy*Max Vibrational Number
Zero Point Dissociation Energy
Go Zero Point Dissociation Energy = Dissociation Energy of Potential-Zero Point Energy
Maximum Vibrational Quantum Number given Dissociation Energy
Go Maximum Vibrational Number = Dissociation Energy of Potential/Vibrational Energy

15 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)
Vibrational energy using Anharmonicity constant
Go Vibrational Energy given xe constant = ((Vibrational Wavenumber)^2)/(4*Anharmonicity Constant*Vibrational Wavenumber*Max Vibrational Number)
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)
Zero Point Energy
Go Zero Point Energy = (1/2*Vibrational Wavenumber)-(1/4*Anharmonicity Constant*Vibrational Wavenumber)
Vibrational Energy
Go Vibrational Energy in Transition = (Vibrational Quantum Number+1/2)*([hP]*Vibrational Frequency)
Vibrational Frequency given Vibrational Energy
Go Vibrational Frequency given VE = Vibrational Energy/(Vibrational Quantum Number+1/2)*[hP]
Vibrational Energy using Vibrational Wave Number
Go Vibrational Energy given wavenumber = (Vibrational Quantum Number+1/2)*Vibrational Wavenumber
Vibrational Wavenumber given Vibrational Energy
Go Vibrational Wavenumber given VE = Vibrational Energy/(Vibrational Quantum Number+1/2)
Vibrational Energy using Dissociation Energy
Go Vibrational Energy given DE = Dissociation Energy of Potential/Max Vibrational Number
Dissociation Energy of Potential using Zero Point Energy
Go Dissociation Energy of Potential = Zero Point Dissociation Energy+Zero Point Energy
Zero Point Energy given Dissociation Energy
Go Zero Point Energy = Dissociation Energy of Potential-Zero Point Dissociation Energy
Dissociation Energy of Potential
Go Actual Dissociation Energy of Potential = Vibrational Energy*Max Vibrational Number
Zero Point Dissociation Energy
Go Zero Point Dissociation Energy = Dissociation Energy of Potential-Zero Point Energy
Maximum Vibrational Quantum Number given Dissociation Energy
Go Maximum Vibrational Number = Dissociation Energy of Potential/Vibrational Energy

Vibrational Energy using Vibrational Wave Number Formula

Vibrational Energy given wavenumber = (Vibrational Quantum Number+1/2)*Vibrational Wavenumber
Ewn = (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 Ewn 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 Ewn = (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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