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Maximum Vibrational Number using Anharmonicity Constant Formula

GoMaximum Vibrational Quantum Number Formula

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

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

v_max - Max Vibrational Number?ω' - Vibrational Wavenumber?E_vf - Vibrational Energy?x_e - Anharmonicity Constant?

Maximum Vibrational Number using Anharmonicity Constant Example

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Here is how the Maximum Vibrational Number using Anharmonicity Constant equation looks like with Values.

Here is how the Maximum Vibrational Number using Anharmonicity Constant equation looks like with Units.

Here is how the Maximum Vibrational Number using Anharmonicity Constant equation looks like.

0.1562 = \frac{{(15)}^{2}}{4 \cdot 15 \cdot 100 \cdot 0.24}

0.1562 = \frac{{(151/m)}^{2}}{4 \cdot 151/m \cdot 100J \cdot 0.24}

0.1562 = \frac{{(15)}^{2}}{4 \cdot 15 \cdot 100 \cdot 0.24}

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Maximum Vibrational Number using Anharmonicity Constant Solution

Follow our step by step solution on how to calculate Maximum Vibrational Number using Anharmonicity Constant?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v max = \frac{{(151/m)}^{2}}{4 \cdot 151/m \cdot 100J \cdot 0.24}

Next Step Convert Units

∴

v max = \frac{{(15Diopter)}^{2}}{4 \cdot 15Diopter \cdot 100J \cdot 0.24}

Next Step Prepare to Evaluate

∴

v max = \frac{{(15)}^{2}}{4 \cdot 15 \cdot 100 \cdot 0.24}

Next Step Evaluate

∴

v max = 0.15625

LAST Step Rounding Answer

∴

v max = 0.1562

Maximum Vibrational Number using Anharmonicity Constant Formula Elements

Variables

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

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

Vibrational Energy

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

Symbol: E_vf

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Vibrational Energy

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 Max Vibrational Number

Go Maximum Vibrational Quantum Number

v max = (\frac{ω'}{2 \cdot x e \cdot ω'}) - \frac{1}{2}

Other formulas in Vibrational Spectroscopy category

Go Vibrational Quantum Number using Vibrational Frequency

v = (\frac{E vf}{[hP] \cdot v vib}) - \frac{1}{2}

Go Vibrational Quantum Number using Vibrational Wavenumber

v = (\frac{E vf}{[hP]} \cdot ω') - \frac{1}{2}

Go Rotational Constant for Vibrational State

B v = B e + (α e \cdot (v + \frac{1}{2}))

Go Rotational Constant Related to Equilibrium

B e = B v - (α e \cdot (v + \frac{1}{2}))

How to Evaluate Maximum Vibrational Number using Anharmonicity Constant?

Maximum Vibrational Number using Anharmonicity Constant evaluator uses Max Vibrational Number = ((Vibrational Wavenumber)^2)/(4*Vibrational Wavenumber*Vibrational Energy*Anharmonicity Constant) to evaluate the Max Vibrational Number, The Maximum vibrational number using Anharmonicity constant formula is defined as the maximum scalar quantum value that defines the energy state of a harmonic or approximately harmonic vibrating diatomic molecule. Max Vibrational Number is denoted by v_max symbol.

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

FAQs on Maximum Vibrational Number using Anharmonicity Constant

What is the formula to find Maximum Vibrational Number using Anharmonicity Constant?

The formula of Maximum Vibrational Number using Anharmonicity Constant is expressed as Max Vibrational Number = ((Vibrational Wavenumber)^2)/(4*Vibrational Wavenumber*Vibrational Energy*Anharmonicity Constant). Here is an example- 0.15625 = ((15)^2)/(4*15*100*0.24).

How to calculate Maximum Vibrational Number using Anharmonicity Constant?

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

What are the other ways to Calculate Max Vibrational Number?

Here are the different ways to Calculate Max Vibrational Number-

Max Vibrational Number=(Vibrational Wavenumber/(2*Anharmonicity Constant*Vibrational Wavenumber))-1/2

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Maximum Vibrational Number using Anharmonicity Constant Formula

​GoMaximum Vibrational Quantum Number Formula

Maximum Vibrational Number using Anharmonicity Constant Example

Maximum Vibrational Number using Anharmonicity Constant Solution

Maximum Vibrational Number using Anharmonicity Constant Formula Elements

Other Formulas to find Max Vibrational Number

Other formulas in Vibrational Spectroscopy category

How to Evaluate Maximum Vibrational Number using Anharmonicity Constant?

FAQs on Maximum Vibrational Number using Anharmonicity Constant

Variable Name

GoMaximum Vibrational Quantum Number Formula