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Vibrational Quantum Number using Vibrational Frequency Formula

GoVibrational Quantum Number using Vibrational Wavenumber 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 v vib}) - \frac{1}{2}

v - Vibrational Quantum Number?E_vf - Vibrational Energy?v_vib - Vibrational Frequency?[hP] - Planck constant?

Vibrational Quantum Number using Vibrational Frequency Example

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

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

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

1.2E+35 = (\frac{100}{6.6E-34 \cdot 1.3}) - \frac{1}{2}

1.2E+35 = (\frac{100J}{6.6E-34 \cdot 1.3Hz}) - \frac{1}{2}

1.2E+35 = (\frac{100}{6.6E-34 \cdot 1.3}) - \frac{1}{2}

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Vibrational Quantum Number using Vibrational Frequency Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v = (\frac{100J}{[hP] \cdot 1.3Hz}) - \frac{1}{2}

Next Step Substitute values of Constants

∴

v = (\frac{100J}{6.6E-34 \cdot 1.3Hz}) - \frac{1}{2}

Next Step Prepare to Evaluate

∴

v = (\frac{100}{6.6E-34 \cdot 1.3}) - \frac{1}{2}

Next Step Evaluate

∴

v = 1.16091554207412E+35

LAST Step Rounding Answer

∴

v = 1.2E+35

Vibrational Quantum Number using Vibrational Frequency 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 Frequency

The Vibrational Frequency is the frequency of photons on the excited state.

Symbol: v_vib

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Vibrational Frequency

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 Wavenumber

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

Vibrational Quantum Number using Vibrational Frequency evaluator uses Vibrational Quantum Number = (Vibrational Energy/([hP]*Vibrational Frequency))-1/2 to evaluate the Vibrational Quantum Number, The Vibrational quantum number using vibrational frequency 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 Frequency using this online evaluator? To use this online evaluator for Vibrational Quantum Number using Vibrational Frequency, enter Vibrational Energy (E_vf) & Vibrational Frequency (v_vib) and hit the calculate button.

FAQs on Vibrational Quantum Number using Vibrational Frequency

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

The formula of Vibrational Quantum Number using Vibrational Frequency is expressed as Vibrational Quantum Number = (Vibrational Energy/([hP]*Vibrational Frequency))-1/2. Here is an example- 1.2E+35 = (100/([hP]*1.3))-1/2.

How to calculate Vibrational Quantum Number using Vibrational Frequency?

With Vibrational Energy (E_vf) & Vibrational Frequency (v_vib) we can find Vibrational Quantum Number using Vibrational Frequency using the formula - Vibrational Quantum Number = (Vibrational Energy/([hP]*Vibrational Frequency))-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 Wavenumber)-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 Frequency Formula

​GoVibrational Quantum Number using Vibrational Wavenumber Formula

​GoVibrational Quantum Number using Rotational Constant Formula

Vibrational Quantum Number using Vibrational Frequency Example

Vibrational Quantum Number using Vibrational Frequency Solution

Vibrational Quantum Number using Vibrational Frequency Formula Elements

Other Formulas to find Vibrational Quantum Number

Other formulas in Vibrational Spectroscopy category

How to Evaluate Vibrational Quantum Number using Vibrational Frequency?

FAQs on Vibrational Quantum Number using Vibrational Frequency

Variable Name

GoVibrational Quantum Number using Vibrational Wavenumber Formula

GoVibrational Quantum Number using Rotational Constant Formula