Maximum Vibrational Quantum Number given Dissociation Energy Calculator

✖Dissociation Energy of Potential is the energy which is measured from the bottom of the potential.ⓘ Dissociation Energy of Potential [D_e]			+10% -10%
✖Vibrational Energy is the total energy of the respective rotation-vibration levels of a diatomic molecule.ⓘ Vibrational Energy [E_vf]			+10% -10%

✖Maximum Vibrational Number is the maximum scalar quantum value that defines the energy state of a harmonic or approximately harmonic vibrating diatomic molecule.ⓘ Maximum Vibrational Quantum Number given Dissociation Energy [v_m]

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Maximum Vibrational Quantum Number given Dissociation Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Vibrational Number = Dissociation Energy of Potential/Vibrational Energy
v_m = D_e/E_vf
This formula uses 3 Variables

Variables Used

Maximum Vibrational Number - Maximum Vibrational Number is the maximum scalar quantum value that defines the energy state of a harmonic or approximately harmonic vibrating diatomic molecule.
Dissociation Energy of Potential - (Measured in Joule) - Dissociation Energy of Potential is the energy which is measured from the bottom of the potential.
Vibrational Energy - (Measured in Joule) - Vibrational Energy is the total energy of the respective rotation-vibration levels of a diatomic molecule.

STEP 1: Convert Input(s) to Base Unit

Dissociation Energy of Potential: 10 Joule --> 10 Joule No Conversion Required
Vibrational Energy: 100 Joule --> 100 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_m = D_e/E_vf --> 10/100

Evaluating ... ...

v_m = 0.1

STEP 3: Convert Result to Output's Unit

0.1 --> No Conversion Required

FINAL ANSWER

0.1 <-- Maximum Vibrational Number

(Calculation completed in 00.020 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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College Of Engineering (COEP), Pune

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< Vibrational Energy Levels Calculators

Energy of Vibrational Transitions

LaTeX Go Vibrational Energy in Transition = ((Vibrational Quantum Number+1/2)-Anharmonicity Constant*((Vibrational Quantum Number+1/2)^2))*([hP]*Vibrational Frequency)

Dissociation Energy given Vibrational Wavenumber

LaTeX Go Dissociation Energy of Potential = (Vibrational Wavenumber^2)/(4*Anharmonicity Constant*Vibrational Wavenumber)

Vibrational Energy

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

Dissociation Energy of Potential

LaTeX Go Actual Dissociation Energy of Potential = Vibrational Energy*Max Vibrational Number

< Vibrational energy levels Calculators

Anharmonicity Constant given Dissociation Energy

LaTeX Go Anharmonicity Constant = ((Vibrational Wavenumber)^2)/(4*Dissociation Energy of Potential*Vibrational Wavenumber)

Dissociation Energy given Vibrational Wavenumber

LaTeX Go Dissociation Energy of Potential = (Vibrational Wavenumber^2)/(4*Anharmonicity Constant*Vibrational Wavenumber)

Dissociation Energy of Potential using Zero Point Energy

LaTeX Go Dissociation Energy of Potential = Zero Point Dissociation Energy+Zero Point Energy

Dissociation Energy of Potential

LaTeX Go Actual Dissociation Energy of Potential = Vibrational Energy*Max Vibrational Number

Maximum Vibrational Quantum Number given Dissociation Energy Formula

LaTeX Go

Maximum Vibrational Number = Dissociation Energy of Potential/Vibrational Energy
v_m = D_e/E_vf

What is Dissociation energy?

The term dissociation energy may be appreciated by reference to potential energy internuclear distance curves. At about 0 K all molecules have no rotational energy but are merely vibrating with their zero-point energy. Thus, diatomic molecules are in the v = 0 vibrational level. The energy required to separate the stable molecule A - B initially in the v = 0 level into two unexcited atoms A and B, that is: A - B → A+B is known as the dissociation energy (D).

How to Calculate Maximum Vibrational Quantum Number given Dissociation Energy?

Maximum Vibrational Quantum Number given Dissociation Energy calculator uses Maximum Vibrational Number = Dissociation Energy of Potential/Vibrational Energy to calculate the Maximum Vibrational Number, The Maximum vibrational quantum number given dissociation energy formula is defined as the maximum scalar quantum value that defines the energy state of a harmonic or approximately harmonic vibrating diatomic molecule. Maximum Vibrational Number is denoted by v_m symbol.

How to calculate Maximum Vibrational Quantum Number given Dissociation Energy using this online calculator? To use this online calculator for Maximum Vibrational Quantum Number given Dissociation Energy, enter Dissociation Energy of Potential (D_e) & Vibrational Energy (E_vf) and hit the calculate button. Here is how the Maximum Vibrational Quantum Number given Dissociation Energy calculation can be explained with given input values -> 0.1 = 10/100.

FAQ

What is Maximum Vibrational Quantum Number given Dissociation Energy?

The Maximum vibrational quantum number given dissociation energy formula is defined as the maximum scalar quantum value that defines the energy state of a harmonic or approximately harmonic vibrating diatomic molecule and is represented as v_m = D_e/E_vf or Maximum Vibrational Number = Dissociation Energy of Potential/Vibrational Energy. Dissociation Energy of Potential is the energy which is measured from the bottom of the potential & Vibrational Energy is the total energy of the respective rotation-vibration levels of a diatomic molecule.

How to calculate Maximum Vibrational Quantum Number given Dissociation Energy?

The Maximum vibrational quantum number given dissociation energy formula is defined as the maximum scalar quantum value that defines the energy state of a harmonic or approximately harmonic vibrating diatomic molecule is calculated using Maximum Vibrational Number = Dissociation Energy of Potential/Vibrational Energy. To calculate Maximum Vibrational Quantum Number given Dissociation Energy, you need Dissociation Energy of Potential (D_e) & Vibrational Energy (E_vf). With our tool, you need to enter the respective value for Dissociation Energy of Potential & Vibrational Energy and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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