Maximum Vibrational Quantum Number given Dissociation Energy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Vibrational Number = Dissociation Energy of Potential/Vibrational Energy
vm = De/Evf
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
vm = De/Evf --> 10/100
Evaluating ... ...
vm = 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 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
Verified by Pragati Jaju
College Of Engineering (COEP), Pune
Pragati Jaju has verified this Calculator and 300+ more calculators!

15 Vibrational Energy Levels Calculators

Energy of Vibrational Transitions
Go Vibrational Energy in Transition = ((Vibrational Quantum Number+1/2)-Anharmonicity Constant*((Vibrational Quantum Number+1/2)^2))*([hP]*Vibrational Frequency)
Vibrational energy using Anharmonicity constant
Go Vibrational Energy given xe constant = ((Vibrational Wavenumber)^2)/(4*Anharmonicity Constant*Vibrational Wavenumber*Max Vibrational Number)
Anharmonicity Constant given Dissociation Energy
Go Anharmonicity Constant = ((Vibrational Wavenumber)^2)/(4*Dissociation Energy of Potential*Vibrational Wavenumber)
Dissociation Energy given Vibrational Wavenumber
Go Dissociation Energy of Potential = (Vibrational Wavenumber^2)/(4*Anharmonicity Constant*Vibrational Wavenumber)
Zero Point Energy
Go Zero Point Energy = (1/2*Vibrational Wavenumber)-(1/4*Anharmonicity Constant*Vibrational Wavenumber)
Vibrational Energy
Go Vibrational Energy in Transition = (Vibrational Quantum Number+1/2)*([hP]*Vibrational Frequency)
Vibrational Frequency given Vibrational Energy
Go Vibrational Frequency given VE = Vibrational Energy/(Vibrational Quantum Number+1/2)*[hP]
Vibrational Energy using Vibrational Wave Number
Go Vibrational Energy given wavenumber = (Vibrational Quantum Number+1/2)*Vibrational Wavenumber
Vibrational Wavenumber given Vibrational Energy
Go Vibrational Wavenumber given VE = Vibrational Energy/(Vibrational Quantum Number+1/2)
Vibrational Energy using Dissociation Energy
Go Vibrational Energy given DE = Dissociation Energy of Potential/Max Vibrational Number
Dissociation Energy of Potential using Zero Point Energy
Go Dissociation Energy of Potential = Zero Point Dissociation Energy+Zero Point Energy
Zero Point Energy given Dissociation Energy
Go Zero Point Energy = Dissociation Energy of Potential-Zero Point Dissociation Energy
Dissociation Energy of Potential
Go Actual Dissociation Energy of Potential = Vibrational Energy*Max Vibrational Number
Zero Point Dissociation Energy
Go Zero Point Dissociation Energy = Dissociation Energy of Potential-Zero Point Energy
Maximum Vibrational Quantum Number given Dissociation Energy
Go Maximum Vibrational Number = Dissociation Energy of Potential/Vibrational Energy

15 Vibrational energy levels Calculators

Energy of Vibrational Transitions
Go Vibrational Energy in Transition = ((Vibrational Quantum Number+1/2)-Anharmonicity Constant*((Vibrational Quantum Number+1/2)^2))*([hP]*Vibrational Frequency)
Vibrational energy using Anharmonicity constant
Go Vibrational Energy given xe constant = ((Vibrational Wavenumber)^2)/(4*Anharmonicity Constant*Vibrational Wavenumber*Max Vibrational Number)
Anharmonicity Constant given Dissociation Energy
Go Anharmonicity Constant = ((Vibrational Wavenumber)^2)/(4*Dissociation Energy of Potential*Vibrational Wavenumber)
Dissociation Energy given Vibrational Wavenumber
Go Dissociation Energy of Potential = (Vibrational Wavenumber^2)/(4*Anharmonicity Constant*Vibrational Wavenumber)
Zero Point Energy
Go Zero Point Energy = (1/2*Vibrational Wavenumber)-(1/4*Anharmonicity Constant*Vibrational Wavenumber)
Vibrational Energy
Go Vibrational Energy in Transition = (Vibrational Quantum Number+1/2)*([hP]*Vibrational Frequency)
Vibrational Frequency given Vibrational Energy
Go Vibrational Frequency given VE = Vibrational Energy/(Vibrational Quantum Number+1/2)*[hP]
Vibrational Energy using Vibrational Wave Number
Go Vibrational Energy given wavenumber = (Vibrational Quantum Number+1/2)*Vibrational Wavenumber
Vibrational Wavenumber given Vibrational Energy
Go Vibrational Wavenumber given VE = Vibrational Energy/(Vibrational Quantum Number+1/2)
Vibrational Energy using Dissociation Energy
Go Vibrational Energy given DE = Dissociation Energy of Potential/Max Vibrational Number
Dissociation Energy of Potential using Zero Point Energy
Go Dissociation Energy of Potential = Zero Point Dissociation Energy+Zero Point Energy
Zero Point Energy given Dissociation Energy
Go Zero Point Energy = Dissociation Energy of Potential-Zero Point Dissociation Energy
Dissociation Energy of Potential
Go Actual Dissociation Energy of Potential = Vibrational Energy*Max Vibrational Number
Zero Point Dissociation Energy
Go Zero Point Dissociation Energy = Dissociation Energy of Potential-Zero Point Energy
Maximum Vibrational Quantum Number given Dissociation Energy
Go Maximum Vibrational Number = Dissociation Energy of Potential/Vibrational Energy

Maximum Vibrational Quantum Number given Dissociation Energy Formula

Maximum Vibrational Number = Dissociation Energy of Potential/Vibrational Energy
vm = De/Evf

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 vm 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 (De) & Vibrational Energy (Evf) 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 vm = De/Evf 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 (De) & Vibrational Energy (Evf). 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!