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Anharmonicity Constant given Dissociation Energy Formula

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Anharmonicity Constant is the deviation of a system from being a harmonic oscillator which is related to the vibrational energy levels of diatomic molecule. Check FAQs

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

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

Anharmonicity Constant given Dissociation Energy Example

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Here is how the Anharmonicity Constant given Dissociation Energy equation looks like with Values.

Here is how the Anharmonicity Constant given Dissociation Energy equation looks like with Units.

Here is how the Anharmonicity Constant given Dissociation Energy equation looks like.

0.375 = \frac{{(15)}^{2}}{4 \cdot 10 \cdot 15}

0.375 = \frac{{(151/m)}^{2}}{4 \cdot 10J \cdot 151/m}

0.375 = \frac{{(15)}^{2}}{4 \cdot 10 \cdot 15}

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Anharmonicity Constant given Dissociation Energy Solution

Follow our step by step solution on how to calculate Anharmonicity Constant given Dissociation Energy?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

x e = \frac{{(151/m)}^{2}}{4 \cdot 10J \cdot 151/m}

Next Step Convert Units

∴

x e = \frac{{(15Diopter)}^{2}}{4 \cdot 10J \cdot 15Diopter}

Next Step Prepare to Evaluate

∴

x e = \frac{{(15)}^{2}}{4 \cdot 10 \cdot 15}

LAST Step Evaluate

∴

x e = 0.375

Anharmonicity Constant given Dissociation Energy Formula Elements

Variables

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

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

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

Other formulas in Vibrational Energy Levels category

Go Dissociation Energy given Vibrational Wavenumber

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

Go Dissociation Energy of Potential

D ae = E vf \cdot v max

Go Dissociation Energy of Potential using Zero Point Energy

D e = D 0 + E 0

Go Energy of Vibrational Transitions

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

How to Evaluate Anharmonicity Constant given Dissociation Energy?

Anharmonicity Constant given Dissociation Energy evaluator uses Anharmonicity Constant = ((Vibrational Wavenumber)^2)/(4*Dissociation Energy of Potential*Vibrational Wavenumber) to evaluate the Anharmonicity Constant, The Anharmonicity constant given dissociation energy formula is defined as the deviation of a system from being a harmonic oscillator in relation to the vibrational energy levels of a diatomic molecule. Anharmonicity Constant is denoted by x_e symbol.

How to evaluate Anharmonicity Constant given Dissociation Energy using this online evaluator? To use this online evaluator for Anharmonicity Constant given Dissociation Energy, enter Vibrational Wavenumber (ω') & Dissociation Energy of Potential (D_e) and hit the calculate button.

FAQs on Anharmonicity Constant given Dissociation Energy

What is the formula to find Anharmonicity Constant given Dissociation Energy?

The formula of Anharmonicity Constant given Dissociation Energy is expressed as Anharmonicity Constant = ((Vibrational Wavenumber)^2)/(4*Dissociation Energy of Potential*Vibrational Wavenumber). Here is an example- 0.375 = ((15)^2)/(4*10*15).

How to calculate Anharmonicity Constant given Dissociation Energy?

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

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Anharmonicity Constant given Dissociation Energy Formula

Anharmonicity Constant given Dissociation Energy Example

Anharmonicity Constant given Dissociation Energy Solution

Anharmonicity Constant given Dissociation Energy Formula Elements

Other formulas in Vibrational Energy Levels category

How to Evaluate Anharmonicity Constant given Dissociation Energy?

FAQs on Anharmonicity Constant given Dissociation Energy

Variable Name