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Anharmonicity Constant given Dissociation Energy Calculator

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✖Vibrational Wavenumber is simply the harmonic vibrational frequency or energy expressed in units of cm inverse.ⓘ Vibrational Wavenumber [ω']
+10%
-10%
✖Dissociation Energy of Potential is the energy which is measured from the bottom of the potential.ⓘ Dissociation Energy of Potential [De]
+10%
-10%
✖Anharmonicity Constant is the deviation of a system from being a harmonic oscillator which is related to the vibrational energy levels of diatomic molecule.ⓘ Anharmonicity Constant given Dissociation Energy [xe]
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Anharmonicity Constant given Dissociation Energy

Formula
`"x"_{"e"} = (("ω'")^2)/(4*"D"_{"e"}*"ω'")`

Example
`"0.375"=(("15/m")^2)/(4*"10J"*"15/m")`

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Anharmonicity Constant given Dissociation Energy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Anharmonicity Constant = ((Vibrational Wavenumber)^2)/(4*Dissociation Energy of Potential*Vibrational Wavenumber)
xe = ((ω')^2)/(4*De*ω')
This formula uses 3 Variables
Variables Used
Anharmonicity Constant - Anharmonicity Constant is the deviation of a system from being a harmonic oscillator which is related to the vibrational energy levels of diatomic molecule.
Vibrational Wavenumber - (Measured in Diopter) - Vibrational Wavenumber is simply the harmonic vibrational frequency or energy expressed in units of cm inverse.
Dissociation Energy of Potential - (Measured in Joule) - Dissociation Energy of Potential is the energy which is measured from the bottom of the potential.
STEP 1: Convert Input(s) to Base Unit
Vibrational Wavenumber: 15 1 per Meter --> 15 Diopter (Check conversion here)
Dissociation Energy of Potential: 10 Joule --> 10 Joule No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
xe = ((ω')^2)/(4*De*ω') --> ((15)^2)/(4*10*15)
Evaluating ... ...
xe = 0.375
STEP 3: Convert Result to Output's Unit
0.375 --> No Conversion Required
FINAL ANSWER
0.375 <-- Anharmonicity Constant
(Calculation completed in 00.004 seconds)
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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

Anharmonicity Constant given Dissociation Energy Formula

Anharmonicity Constant = ((Vibrational Wavenumber)^2)/(4*Dissociation Energy of Potential*Vibrational Wavenumber)
xe = ((ω')^2)/(4*De*ω')

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 Anharmonicity Constant given Dissociation Energy?

Anharmonicity Constant given Dissociation Energy calculator uses Anharmonicity Constant = ((Vibrational Wavenumber)^2)/(4*Dissociation Energy of Potential*Vibrational Wavenumber) to calculate the Anharmonicity Constant, The Anharmonicity constant given dissociation energy formula is defined as the deviation of a system from being a harmonic oscillator in relation to the vibrational energy levels of a diatomic molecule. Anharmonicity Constant is denoted by xe symbol.

How to calculate Anharmonicity Constant given Dissociation Energy using this online calculator? To use this online calculator for Anharmonicity Constant given Dissociation Energy, enter Vibrational Wavenumber (ω') & Dissociation Energy of Potential (De) and hit the calculate button. Here is how the Anharmonicity Constant given Dissociation Energy calculation can be explained with given input values -> 0.375 = ((15)^2)/(4*10*15).

FAQ

What is Anharmonicity Constant given Dissociation Energy?
The Anharmonicity constant given dissociation energy formula is defined as the deviation of a system from being a harmonic oscillator in relation to the vibrational energy levels of a diatomic molecule and is represented as xe = ((ω')^2)/(4*De*ω') or Anharmonicity Constant = ((Vibrational Wavenumber)^2)/(4*Dissociation Energy of Potential*Vibrational Wavenumber). Vibrational Wavenumber is simply the harmonic vibrational frequency or energy expressed in units of cm inverse & Dissociation Energy of Potential is the energy which is measured from the bottom of the potential.
How to calculate Anharmonicity Constant given Dissociation Energy?
The Anharmonicity constant given dissociation energy formula is defined as the deviation of a system from being a harmonic oscillator in relation to the vibrational energy levels of a diatomic molecule is calculated using Anharmonicity Constant = ((Vibrational Wavenumber)^2)/(4*Dissociation Energy of Potential*Vibrational Wavenumber). To calculate Anharmonicity Constant given Dissociation Energy, you need Vibrational Wavenumber (ω') & Dissociation Energy of Potential (De). With our tool, you need to enter the respective value for Vibrational Wavenumber & Dissociation Energy of Potential 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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