Energy Difference between Two Vibrational States Solution

STEP 0: Pre-Calculation Summary
Formula Used
Change in Energy = Equilibrium Vibrational Frequency*(1-(2*Anharmonicity Constant))
dE = we*(1-(2*xe))
This formula uses 3 Variables
Variables Used
Change in Energy - (Measured in Hertz) - Change in Energy is the energy difference between ground and excited state.
Equilibrium Vibrational Frequency - (Measured in Hertz) - Equilibrium Vibrational Frequency is the vibrational frequency at equilibrium.
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.
STEP 1: Convert Input(s) to Base Unit
Equilibrium Vibrational Frequency: 80 Hertz --> 80 Hertz No Conversion Required
Anharmonicity Constant: 0.24 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dE = we*(1-(2*xe)) --> 80*(1-(2*0.24))
Evaluating ... ...
dE = 41.6
STEP 3: Convert Result to Output's Unit
41.6 Hertz --> No Conversion Required
FINAL ANSWER
41.6 Hertz <-- Change in Energy
(Calculation completed in 00.004 seconds)
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Credits

Created by Torsha_Paul
University of Calcutta (CU), Kolkata
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National Institute Of Technology Warangal (NITW), Warangal
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​ Go Anharmonicity Constant = (Vibration Frequency-Fundamental Frequency)/(2*Vibration Frequency)
Anharmonicity Constant given Second Overtone Frequency
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Anharmonicity Constant given First Overtone Frequency
​ Go Anharmonicity Constant = 1/3*(1-(First Overtone Frequency/(2*Vibrational Frequency)))

Energy Difference between Two Vibrational States Formula

Change in Energy = Equilibrium Vibrational Frequency*(1-(2*Anharmonicity Constant))
dE = we*(1-(2*xe))

What is Vibrational State ?

The vibrational state – or VS, for short – is a condition that we can reach with our energy body. Both rotation and vibration are quantized, which leads to discrete energy levels. At room temperature, the lowest vibrational and rotational levels are the ones most commonly occupied. The different vibrational states are linked to the oscillatory motion of bonds.

How to Calculate Energy Difference between Two Vibrational States?

Energy Difference between Two Vibrational States calculator uses Change in Energy = Equilibrium Vibrational Frequency*(1-(2*Anharmonicity Constant)) to calculate the Change in Energy, Energy Difference between Two Vibrational States is defined as the energy difference between ground and excited state. Change in Energy is denoted by dE symbol.

How to calculate Energy Difference between Two Vibrational States using this online calculator? To use this online calculator for Energy Difference between Two Vibrational States, enter Equilibrium Vibrational Frequency (we) & Anharmonicity Constant (xe) and hit the calculate button. Here is how the Energy Difference between Two Vibrational States calculation can be explained with given input values -> 41.6 = 80*(1-(2*0.24)).

FAQ

What is Energy Difference between Two Vibrational States?
Energy Difference between Two Vibrational States is defined as the energy difference between ground and excited state and is represented as dE = we*(1-(2*xe)) or Change in Energy = Equilibrium Vibrational Frequency*(1-(2*Anharmonicity Constant)). Equilibrium Vibrational Frequency is the vibrational frequency at equilibrium & Anharmonicity Constant is the deviation of a system from being a harmonic oscillator which is related to the vibrational energy levels of diatomic molecule.
How to calculate Energy Difference between Two Vibrational States?
Energy Difference between Two Vibrational States is defined as the energy difference between ground and excited state is calculated using Change in Energy = Equilibrium Vibrational Frequency*(1-(2*Anharmonicity Constant)). To calculate Energy Difference between Two Vibrational States, you need Equilibrium Vibrational Frequency (we) & Anharmonicity Constant (xe). With our tool, you need to enter the respective value for Equilibrium Vibrational Frequency & Anharmonicity Constant 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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