LCM of three numbers

Vibrational Quantum Number using Vibrational Frequency Calculator

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Important formulae on Vibrational Spectroscopy Vibrational energy levels

✖Vibrational Energy is the total energy of the respective rotation-vibration levels of a diatomic molecule.ⓘ Vibrational Energy [E_vf]			+10% -10%
✖The Vibrational Frequency is the frequency of photons on the excited state.ⓘ Vibrational Frequency [v_vib]			+10% -10%

✖Vibrational quantum number describes values of conserved quantities in the dynamics of a quantum system in a diatomic molecule.ⓘ Vibrational Quantum Number using Vibrational Frequency [v]

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Vibrational Quantum Number using Vibrational Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vibrational Quantum Number = (Vibrational Energy/([hP]*Vibrational Frequency))-1/2
v = (E_vf/([hP]*v_vib))-1/2
This formula uses 1 Constants, 3 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34

Variables Used

Vibrational Quantum Number - Vibrational quantum number describes values of conserved quantities in the dynamics of a quantum system in a diatomic molecule.
Vibrational Energy - (Measured in Joule) - Vibrational Energy is the total energy of the respective rotation-vibration levels of a diatomic molecule.
Vibrational Frequency - (Measured in Hertz) - The Vibrational Frequency is the frequency of photons on the excited state.

STEP 1: Convert Input(s) to Base Unit

Vibrational Energy: 100 Joule --> 100 Joule No Conversion Required
Vibrational Frequency: 1.3 Hertz --> 1.3 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = (E_vf/([hP]*v_vib))-1/2 --> (100/([hP]*1.3))-1/2

Evaluating ... ...

v = 1.16091554207412E+35

STEP 3: Convert Result to Output's Unit

1.16091554207412E+35 --> No Conversion Required

FINAL ANSWER

1.16091554207412E+35 ≈ 1.2E+35 <-- Vibrational Quantum Number

(Calculation completed in 00.005 seconds)

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National Institute of Information Technology (NIIT), Neemrana

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< Vibrational Spectroscopy Calculators

Anharmonic Potential Constant

LaTeX Go Anharmonic Potential Constant = (Rotational Constant vib-Rotational Constant Equilibrium)/(Vibrational Quantum Number+1/2)

Anharmonicity Constant given Fundamental Frequency

LaTeX Go Anharmonicity Constant = (Vibration Frequency-Fundamental Frequency)/(2*Vibration Frequency)

Anharmonicity Constant given Second Overtone Frequency

LaTeX Go Anharmonicity Constant = 1/4*(1-(Second Overtone Frequency/(3*Vibrational Frequency)))

Anharmonicity Constant given First Overtone Frequency

LaTeX Go Anharmonicity Constant = 1/3*(1-(First Overtone Frequency/(2*Vibrational Frequency)))

< Important Calculators of Vibrational Spectroscopy Calculators

Rotational Constant Related to Equilibrium

LaTeX Go Rotational Constant Equilibrium = Rotational Constant vib-(Anharmonic Potential Constant*(Vibrational Quantum Number+1/2))

Rotational Constant for Vibrational State

LaTeX Go Rotational Constant vib = Rotational Constant Equilibrium+(Anharmonic Potential Constant*(Vibrational Quantum Number+1/2))

Vibrational Quantum Number using Vibrational Frequency

LaTeX Go Vibrational Quantum Number = (Vibrational Energy/([hP]*Vibrational Frequency))-1/2

Vibrational Quantum Number using Vibrational Wavenumber

LaTeX Go Vibrational Quantum Number = (Vibrational Energy/[hP]*Vibrational Wavenumber)-1/2

Vibrational Quantum Number using Vibrational Frequency Formula

LaTeX Go

Vibrational Quantum Number = (Vibrational Energy/([hP]*Vibrational Frequency))-1/2
v = (E_vf/([hP]*v_vib))-1/2

What is vibrational energy?

Vibrational spectroscopy looks at the differences in energy between the vibrational modes of a molecule. These are larger than the rotational energy states. This spectroscopy can provide a direct measure of bond strength. The vibration energy levels can be explained using diatomic molecules.
To a first approximation, molecular vibrations can be approximated as simple harmonic oscillators, with an associated energy known as vibrational energy.

How to Calculate Vibrational Quantum Number using Vibrational Frequency?

Vibrational Quantum Number using Vibrational Frequency calculator uses Vibrational Quantum Number = (Vibrational Energy/([hP]*Vibrational Frequency))-1/2 to calculate 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 calculate Vibrational Quantum Number using Vibrational Frequency using this online calculator? To use this online calculator for Vibrational Quantum Number using Vibrational Frequency, enter Vibrational Energy (E_vf) & Vibrational Frequency (v_vib) and hit the calculate button. Here is how the Vibrational Quantum Number using Vibrational Frequency calculation can be explained with given input values -> 1.2E+35 = (100/([hP]*1.3))-1/2.

FAQ

What is Vibrational Quantum Number using Vibrational Frequency?

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 and is represented as v = (E_vf/([hP]*v_vib))-1/2 or Vibrational Quantum Number = (Vibrational Energy/([hP]*Vibrational Frequency))-1/2. Vibrational Energy is the total energy of the respective rotation-vibration levels of a diatomic molecule & The Vibrational Frequency is the frequency of photons on the excited state.

How to calculate Vibrational Quantum Number using Vibrational Frequency?

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 is calculated using Vibrational Quantum Number = (Vibrational Energy/([hP]*Vibrational Frequency))-1/2. To calculate Vibrational Quantum Number using Vibrational Frequency, you need Vibrational Energy (E_vf) & Vibrational Frequency (v_vib). With our tool, you need to enter the respective value for Vibrational Energy & Vibrational Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Vibrational Quantum Number?

In this formula, Vibrational Quantum Number uses Vibrational Energy & Vibrational Frequency. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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