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Vibrational Quantum Number using Vibrational Wavenumber Formula

GoVibrational Quantum Number using Vibrational Frequency Formula

GoVibrational Quantum Number using Rotational Constant Formula

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Vibrational quantum number describes values of conserved quantities in the dynamics of a quantum system in a diatomic molecule. Check FAQs

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

v - Vibrational Quantum Number?E_vf - Vibrational Energy?ω' - Vibrational Wavenumber?[hP] - Planck constant?

Vibrational Quantum Number using Vibrational Wavenumber Example

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Here is how the Vibrational Quantum Number using Vibrational Wavenumber equation looks like with Values.

Here is how the Vibrational Quantum Number using Vibrational Wavenumber equation looks like with Units.

Here is how the Vibrational Quantum Number using Vibrational Wavenumber equation looks like.

2.3E+36 = (\frac{100}{6.6E-34} \cdot 15) - \frac{1}{2}

2.3E+36 = (\frac{100J}{6.6E-34} \cdot 151/m) - \frac{1}{2}

2.3E+36 = (\frac{100}{6.6E-34} \cdot 15) - \frac{1}{2}

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Vibrational Quantum Number using Vibrational Wavenumber Solution

Follow our step by step solution on how to calculate Vibrational Quantum Number using Vibrational Wavenumber?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v = (\frac{100J}{[hP]} \cdot 151/m) - \frac{1}{2}

Next Step Substitute values of Constants

∴

v = (\frac{100J}{6.6E-34} \cdot 151/m) - \frac{1}{2}

Next Step Convert Units

∴

v = (\frac{100J}{6.6E-34} \cdot 15Diopter) - \frac{1}{2}

Next Step Prepare to Evaluate

∴

v = (\frac{100}{6.6E-34} \cdot 15) - \frac{1}{2}

Next Step Evaluate

∴

v = 2.26378530704454E+36

LAST Step Rounding Answer

∴

v = 2.3E+36

Vibrational Quantum Number using Vibrational Wavenumber Formula Elements

Variables

Constants

Vibrational Quantum Number

Vibrational quantum number describes values of conserved quantities in the dynamics of a quantum system in a diatomic molecule.

Symbol: v

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Vibrational Quantum Number

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

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

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Other Formulas to find Vibrational Quantum Number

Go Vibrational Quantum Number using Vibrational Frequency

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

Go Vibrational Quantum Number using Rotational Constant

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

Other formulas in Vibrational Spectroscopy category

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}))

Go Anharmonic Potential Constant

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

Go Maximum Vibrational Quantum Number

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

How to Evaluate Vibrational Quantum Number using Vibrational Wavenumber?

Vibrational Quantum Number using Vibrational Wavenumber evaluator uses Vibrational Quantum Number = (Vibrational Energy/[hP]*Vibrational Wavenumber)-1/2 to evaluate the Vibrational Quantum Number, The Vibrational quantum number using vibrational wavenumber formula is defined as a scalar quantum number that defines the energy state of a harmonic or approximately harmonic vibrating diatomic molecule. Vibrational Quantum Number is denoted by v symbol.

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

FAQs on Vibrational Quantum Number using Vibrational Wavenumber

What is the formula to find Vibrational Quantum Number using Vibrational Wavenumber?

The formula of Vibrational Quantum Number using Vibrational Wavenumber is expressed as Vibrational Quantum Number = (Vibrational Energy/[hP]*Vibrational Wavenumber)-1/2. Here is an example- 2.3E+36 = (100/[hP]*15)-1/2.

How to calculate Vibrational Quantum Number using Vibrational Wavenumber?

With Vibrational Energy (E_vf) & Vibrational Wavenumber (ω') we can find Vibrational Quantum Number using Vibrational Wavenumber using the formula - Vibrational Quantum Number = (Vibrational Energy/[hP]*Vibrational Wavenumber)-1/2. This formula also uses Planck constant .

What are the other ways to Calculate Vibrational Quantum Number?

Here are the different ways to Calculate Vibrational Quantum Number-

Vibrational Quantum Number=(Vibrational Energy/([hP]*Vibrational Frequency))-1/2
Vibrational Quantum Number=((Rotational Constant vib-Rotational Constant Equilibrium)/Anharmonic Potential Constant)-1/2

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Vibrational Quantum Number using Vibrational Wavenumber Formula

​GoVibrational Quantum Number using Vibrational Frequency Formula

​GoVibrational Quantum Number using Rotational Constant Formula

Vibrational Quantum Number using Vibrational Wavenumber Example

Vibrational Quantum Number using Vibrational Wavenumber Solution

Vibrational Quantum Number using Vibrational Wavenumber Formula Elements

Other Formulas to find Vibrational Quantum Number

Other formulas in Vibrational Spectroscopy category

How to Evaluate Vibrational Quantum Number using Vibrational Wavenumber?

FAQs on Vibrational Quantum Number using Vibrational Wavenumber

Variable Name

GoVibrational Quantum Number using Vibrational Frequency Formula

GoVibrational Quantum Number using Rotational Constant Formula