Dissociation Energy given Vibrational Wavenumber Calculator

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Vibrational spectroscopy

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Vibrational Energy Levels

Important Calculators of Vibrational Spectroscopy

✖Vibrational Wavenumber is simply the harmonic vibrational frequency or energy expressed in units of cm inverse.ⓘ Vibrational Wavenumber [ω']			+10% -10%
✖Anharmonicity Constant is the deviation of a system from being a harmonic oscillator which is related to the vibrational energy levels of diatomic molecule.ⓘ Anharmonicity Constant [x_e]			+10% -10%

✖Dissociation Energy of Potential is the energy which is measured from the bottom of the potential.ⓘ Dissociation Energy given Vibrational Wavenumber [D_e]

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Formula

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Dissociation Energy given Vibrational Wavenumber

Formula

`"D"_{"e"} = ("ω'"^2)/(4*"x"_{"e"}*"ω'")`

Example

`"15.625J"=(("15/m")^2)/(4*"0.24"*"15/m")`

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Dissociation Energy given Vibrational Wavenumber Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dissociation Energy of Potential = (Vibrational Wavenumber^2)/(4*Anharmonicity Constant*Vibrational Wavenumber)
D_e = (ω'^2)/(4*x_e*ω')
This formula uses 3 Variables

Variables Used

Dissociation Energy of Potential - (Measured in Joule) - Dissociation Energy of Potential is the energy which is measured from the bottom of the potential.
Vibrational Wavenumber - (Measured in Diopter) - Vibrational Wavenumber is simply the harmonic vibrational frequency or energy expressed in units of cm inverse.
Anharmonicity Constant - Anharmonicity Constant is the deviation of a system from being a harmonic oscillator which is related to the vibrational energy levels of diatomic molecule.

STEP 1: Convert Input(s) to Base Unit

Vibrational Wavenumber: 15 1 per Meter --> 15 Diopter (Check conversion here)
Anharmonicity Constant: 0.24 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_e = (ω'^2)/(4*x_e*ω') --> (15^2)/(4*0.24*15)

Evaluating ... ...

D_e = 15.625

STEP 3: Convert Result to Output's Unit

15.625 Joule --> No Conversion Required

FINAL ANSWER

15.625 Joule <-- Dissociation Energy of Potential

(Calculation completed in 00.004 seconds)

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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

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< 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

Dissociation Energy given Vibrational Wavenumber Formula

Dissociation Energy of Potential = (Vibrational Wavenumber^2)/(4*Anharmonicity Constant*Vibrational Wavenumber)
D_e = (ω'^2)/(4*x_e*ω')

What is Dissociation energy?

The term dissociation energy may be appreciated by reference to potential energy internuclear distance curves. At about 0 K all molecules have no rotational energy but are merely vibrating with their zero-point energy. Thus, diatomic molecules are in the v = 0 vibrational level. The energy required to separate the stable molecule A - B initially in the v = 0 level into two unexcited atoms A and B, that is: A - B → A+B is known as the dissociation energy (D).

How to Calculate Dissociation Energy given Vibrational Wavenumber?

Dissociation Energy given Vibrational Wavenumber calculator uses Dissociation Energy of Potential = (Vibrational Wavenumber^2)/(4*Anharmonicity Constant*Vibrational Wavenumber) to calculate the Dissociation Energy of Potential, The Dissociation Energy given Vibrational Wavenumber formula is defined as the energy which is measured from the bottom of the potential of vibrational energy levels for a diatomic molecule. Dissociation Energy of Potential is denoted by D_e symbol.

How to calculate Dissociation Energy given Vibrational Wavenumber using this online calculator? To use this online calculator for Dissociation Energy given Vibrational Wavenumber, enter Vibrational Wavenumber (ω') & Anharmonicity Constant (x_e) and hit the calculate button. Here is how the Dissociation Energy given Vibrational Wavenumber calculation can be explained with given input values -> 15.625 = (15^2)/(4*0.24*15).

FAQ

What is Dissociation Energy given Vibrational Wavenumber?

The Dissociation Energy given Vibrational Wavenumber formula is defined as the energy which is measured from the bottom of the potential of vibrational energy levels for a diatomic molecule and is represented as D_e = (ω'^2)/(4*x_e*ω') or Dissociation Energy of Potential = (Vibrational Wavenumber^2)/(4*Anharmonicity Constant*Vibrational Wavenumber). Vibrational Wavenumber is simply the harmonic vibrational frequency or energy expressed in units of cm inverse & Anharmonicity Constant is the deviation of a system from being a harmonic oscillator which is related to the vibrational energy levels of diatomic molecule.

How to calculate Dissociation Energy given Vibrational Wavenumber?

The Dissociation Energy given Vibrational Wavenumber formula is defined as the energy which is measured from the bottom of the potential of vibrational energy levels for a diatomic molecule is calculated using Dissociation Energy of Potential = (Vibrational Wavenumber^2)/(4*Anharmonicity Constant*Vibrational Wavenumber). To calculate Dissociation Energy given Vibrational Wavenumber, you need Vibrational Wavenumber (ω') & Anharmonicity Constant (x_e). With our tool, you need to enter the respective value for Vibrational Wavenumber & Anharmonicity Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Dissociation Energy of Potential?

In this formula, Dissociation Energy of Potential uses Vibrational Wavenumber & Anharmonicity Constant. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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