Vibrational Energy using Dissociation Energy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Vibrational Energy given DE = Dissociation Energy of Potential/Max Vibrational Number
EDE = De/vmax
This formula uses 3 Variables
Variables Used
Vibrational Energy given DE - (Measured in Joule) - Vibrational Energy given DE is the total energy of the respective rotation-vibration levels of a 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.
Max Vibrational Number - Max Vibrational Number is the maximum scalar quantum value that defines the energy state of a harmonic or approximately harmonic vibrating diatomic molecule.
STEP 1: Convert Input(s) to Base Unit
Dissociation Energy of Potential: 10 Joule --> 10 Joule No Conversion Required
Max Vibrational Number: 5.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
EDE = De/vmax --> 10/5.5
Evaluating ... ...
EDE = 1.81818181818182
STEP 3: Convert Result to Output's Unit
1.81818181818182 Joule --> No Conversion Required
FINAL ANSWER
1.81818181818182 1.818182 Joule <-- Vibrational Energy given DE
(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
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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

Vibrational Energy using Dissociation Energy Formula

Vibrational Energy given DE = Dissociation Energy of Potential/Max Vibrational Number
EDE = De/vmax

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 Vibrational Energy using Dissociation Energy?

Vibrational Energy using Dissociation Energy calculator uses Vibrational Energy given DE = Dissociation Energy of Potential/Max Vibrational Number to calculate the Vibrational Energy given DE, The Vibrational energy using dissociation energy formula is defined as the total energy of the respective rotation-vibration levels of a diatomic molecule. Vibrational Energy given DE is denoted by EDE symbol.

How to calculate Vibrational Energy using Dissociation Energy using this online calculator? To use this online calculator for Vibrational Energy using Dissociation Energy, enter Dissociation Energy of Potential (De) & Max Vibrational Number (vmax) and hit the calculate button. Here is how the Vibrational Energy using Dissociation Energy calculation can be explained with given input values -> 1.818182 = 10/5.5.

FAQ

What is Vibrational Energy using Dissociation Energy?
The Vibrational energy using dissociation energy formula is defined as the total energy of the respective rotation-vibration levels of a diatomic molecule and is represented as EDE = De/vmax or Vibrational Energy given DE = Dissociation Energy of Potential/Max Vibrational Number. Dissociation Energy of Potential is the energy which is measured from the bottom of the potential & Max Vibrational Number is the maximum scalar quantum value that defines the energy state of a harmonic or approximately harmonic vibrating diatomic molecule.
How to calculate Vibrational Energy using Dissociation Energy?
The Vibrational energy using dissociation energy formula is defined as the total energy of the respective rotation-vibration levels of a diatomic molecule is calculated using Vibrational Energy given DE = Dissociation Energy of Potential/Max Vibrational Number. To calculate Vibrational Energy using Dissociation Energy, you need Dissociation Energy of Potential (De) & Max Vibrational Number (vmax). With our tool, you need to enter the respective value for Dissociation Energy of Potential & Max Vibrational Number 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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