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Dissociation Energy given Vibrational Wavenumber Formula

GoDissociation Energy of Potential using Zero Point Energy Formula

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Dissociation Energy of Potential is the energy which is measured from the bottom of the potential. Check FAQs

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

D_e - Dissociation Energy of Potential?ω' - Vibrational Wavenumber?x_e - Anharmonicity Constant?

Dissociation Energy given Vibrational Wavenumber Example

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

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

Here is how the Dissociation Energy given Vibrational Wavenumber equation looks like.

15.625 = \frac{15^{2}}{4 \cdot 0.24 \cdot 15}

15.625J = \frac{{151/m}^{2}}{4 \cdot 0.24 \cdot 151/m}

15.625 = \frac{15^{2}}{4 \cdot 0.24 \cdot 15}

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Dissociation Energy given Vibrational Wavenumber Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D e = \frac{{151/m}^{2}}{4 \cdot 0.24 \cdot 151/m}

Next Step Convert Units

∴

D e = \frac{{15Diopter}^{2}}{4 \cdot 0.24 \cdot 15Diopter}

Next Step Prepare to Evaluate

∴

D e = \frac{15^{2}}{4 \cdot 0.24 \cdot 15}

LAST Step Evaluate

∴

D e = 15.625J

Dissociation Energy given Vibrational Wavenumber Formula Elements

Variables

Dissociation Energy of Potential

Dissociation Energy of Potential is the energy which is measured from the bottom of the potential.

Symbol: D_e

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Dissociation Energy of Potential

Vibrational Wavenumber

Vibrational Wavenumber is simply the harmonic vibrational frequency or energy expressed in units of cm inverse.

Symbol: ω'

Measurement: Wave NumberUnit: 1/m

Note: Value can be positive or negative.

Formulas to find Vibrational Wavenumber

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.

Symbol: x_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Anharmonicity Constant

Other Formulas to find Dissociation Energy of Potential

Go Dissociation Energy of Potential using Zero Point Energy

D e = D 0 + E 0

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 of Potential

D ae = E vf \cdot v max

Go Energy of Vibrational Transitions

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

Go Maximum Vibrational Quantum Number given Dissociation Energy

v m = \frac{D e}{E vf}

How to Evaluate Dissociation Energy given Vibrational Wavenumber?

Dissociation Energy given Vibrational Wavenumber evaluator uses Dissociation Energy of Potential = (Vibrational Wavenumber^2)/(4*Anharmonicity Constant*Vibrational Wavenumber) to evaluate 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 evaluate Dissociation Energy given Vibrational Wavenumber using this online evaluator? To use this online evaluator for Dissociation Energy given Vibrational Wavenumber, enter Vibrational Wavenumber (ω') & Anharmonicity Constant (x_e) and hit the calculate button.

FAQs on Dissociation Energy given Vibrational Wavenumber

What is the formula to find Dissociation Energy given Vibrational Wavenumber?

The formula of Dissociation Energy given Vibrational Wavenumber is expressed as Dissociation Energy of Potential = (Vibrational Wavenumber^2)/(4*Anharmonicity Constant*Vibrational Wavenumber). Here is an example- 15.625 = (15^2)/(4*0.24*15).

How to calculate Dissociation Energy given Vibrational Wavenumber?

With Vibrational Wavenumber (ω') & Anharmonicity Constant (x_e) we can find Dissociation Energy given Vibrational Wavenumber using the formula - Dissociation Energy of Potential = (Vibrational Wavenumber^2)/(4*Anharmonicity Constant*Vibrational Wavenumber).

What are the other ways to Calculate Dissociation Energy of Potential?

Here are the different ways to Calculate Dissociation Energy of Potential-

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

Can the Dissociation Energy given Vibrational Wavenumber be negative?

Yes, the Dissociation Energy given Vibrational Wavenumber, measured in Energy can be negative.

Which unit is used to measure Dissociation Energy given Vibrational Wavenumber?

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

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Dissociation Energy given Vibrational Wavenumber Formula

​GoDissociation Energy of Potential using Zero Point Energy Formula

Dissociation Energy given Vibrational Wavenumber Example

Dissociation Energy given Vibrational Wavenumber Solution

Dissociation Energy given Vibrational Wavenumber Formula Elements

Other Formulas to find Dissociation Energy of Potential

Other formulas in Vibrational Energy Levels category

How to Evaluate Dissociation Energy given Vibrational Wavenumber?

FAQs on Dissociation Energy given Vibrational Wavenumber

Variable Name

GoDissociation Energy of Potential using Zero Point Energy Formula