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Vibrational energy using Anharmonicity constant Formula

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Vibrational Energy given xe constant is the total energy of the respective rotation-vibration levels of a diatomic molecule. Check FAQs

E xe = \frac{{(ω')}^{2}}{4 \cdot x e \cdot ω' \cdot v max}

E_xe - Vibrational Energy given xe constant?ω' - Vibrational Wavenumber?x_e - Anharmonicity Constant?v_max - Max Vibrational Number?

Vibrational energy using Anharmonicity constant Example

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Here is how the Vibrational energy using Anharmonicity constant equation looks like with Values.

Here is how the Vibrational energy using Anharmonicity constant equation looks like with Units.

Here is how the Vibrational energy using Anharmonicity constant equation looks like.

2.8409 = \frac{{(15)}^{2}}{4 \cdot 0.24 \cdot 15 \cdot 5.5}

2.8409J = \frac{{(151/m)}^{2}}{4 \cdot 0.24 \cdot 151/m \cdot 5.5}

2.8409 = \frac{{(15)}^{2}}{4 \cdot 0.24 \cdot 15 \cdot 5.5}

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Vibrational energy using Anharmonicity constant Solution

Follow our step by step solution on how to calculate Vibrational energy using Anharmonicity constant?

FIRST Step Consider the formula

E xe = \frac{{(ω')}^{2}}{4 \cdot x e \cdot ω' \cdot v max}

Next Step Substitute values of Variables

∴

E xe = \frac{{(151/m)}^{2}}{4 \cdot 0.24 \cdot 151/m \cdot 5.5}

Next Step Convert Units

∴

E xe = \frac{{(15Diopter)}^{2}}{4 \cdot 0.24 \cdot 15Diopter \cdot 5.5}

Next Step Prepare to Evaluate

∴

E xe = \frac{{(15)}^{2}}{4 \cdot 0.24 \cdot 15 \cdot 5.5}

Next Step Evaluate

∴

E xe = 2.84090909090909J

LAST Step Rounding Answer

∴

E xe = 2.8409J

Vibrational energy using Anharmonicity constant Formula Elements

Variables

Vibrational Energy given xe constant

Vibrational Energy given xe constant is the total energy of the respective rotation-vibration levels of a diatomic molecule.

Symbol: E_xe

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Vibrational Energy given xe 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

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

Max Vibrational Number

Max Vibrational Number is the maximum scalar quantum value that defines the energy state of a harmonic or approximately harmonic vibrating diatomic molecule.

Symbol: v_max

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Max Vibrational Number

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 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

How to Evaluate Vibrational energy using Anharmonicity constant?

Vibrational energy using Anharmonicity constant evaluator uses Vibrational Energy given xe constant = ((Vibrational Wavenumber)^2)/(4*Anharmonicity Constant*Vibrational Wavenumber*Max Vibrational Number) to evaluate the Vibrational Energy given xe constant, The Vibrational energy using Anharmonicity constant formula is defined as the total energy of the respective rotation-vibration levels of a diatomic molecule. Vibrational Energy given xe constant is denoted by E_xe symbol.

How to evaluate Vibrational energy using Anharmonicity constant using this online evaluator? To use this online evaluator for Vibrational energy using Anharmonicity constant, enter Vibrational Wavenumber (ω'), Anharmonicity Constant (x_e) & Max Vibrational Number (v_max) and hit the calculate button.

FAQs on Vibrational energy using Anharmonicity constant

What is the formula to find Vibrational energy using Anharmonicity constant?

The formula of Vibrational energy using Anharmonicity constant is expressed as Vibrational Energy given xe constant = ((Vibrational Wavenumber)^2)/(4*Anharmonicity Constant*Vibrational Wavenumber*Max Vibrational Number). Here is an example- 2.840909 = ((15)^2)/(4*0.24*15*5.5).

How to calculate Vibrational energy using Anharmonicity constant?

With Vibrational Wavenumber (ω'), Anharmonicity Constant (x_e) & Max Vibrational Number (v_max) we can find Vibrational energy using Anharmonicity constant using the formula - Vibrational Energy given xe constant = ((Vibrational Wavenumber)^2)/(4*Anharmonicity Constant*Vibrational Wavenumber*Max Vibrational Number).

Can the Vibrational energy using Anharmonicity constant be negative?

Yes, the Vibrational energy using Anharmonicity constant, measured in Energy can be negative.

Which unit is used to measure Vibrational energy using Anharmonicity constant?

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

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Vibrational energy using Anharmonicity constant Formula

Vibrational energy using Anharmonicity constant Example

Vibrational energy using Anharmonicity constant Solution

Vibrational energy using Anharmonicity constant Formula Elements

Other formulas in Vibrational Energy Levels category

How to Evaluate Vibrational energy using Anharmonicity constant?

FAQs on Vibrational energy using Anharmonicity constant

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