Predicting spectroscopic transition positions

  • Thread starter samdiah
  • Start date
  • Tags
    Transition
In summary, the harmonic oscillator is a model for the vibrating diatomic molecule and its energy expression is given by Ev = (v+1/2) hν, where v represents the energy level and ν is the oscillator frequency. Using this expression, we can predict the wavenumber (cm-1) position of the infrared absorption for the fundamental vibration (v = 0 --> v = 1) and the second overtone (v = 0 --> v = 3). For a diatomic molecule with a frequency of ν = 8.00 x 1013 s, the wavenumber position can be calculated by plugging in the respective values for v. This question may involve understanding the concept of energy levels and
  • #1
samdiah
81
0
The harmonic oscillator is a model for the vibrating diatomic molecule. The energy expression for this model is given by:

Ev = (v+1/2) hν v = 0, 1, 2, 3,… (ν = oscillator frequency)

Use this expression to predict the wavenumber (cm-1) position of the infrared absorption due to the fundamental vibration (v = 0 --> v = 1) and the second overtone (v = 0 --> v = 3), for an harmonic oscillator of frequency ν = 8.00 x 1013 s, which is typical for a diatomic molecule.


If anyone can guide me as to what the question is asking for, how to setup the question and solve it I will really appreciate it.
 
Physics news on Phys.org
  • #2
I think this question has to do with gaps between energy level.
 
  • #3
can someone please help and give me clues.
 

FAQ: Predicting spectroscopic transition positions

What is the purpose of predicting spectroscopic transition positions?

Predicting spectroscopic transition positions is important for understanding the behavior of atoms and molecules, as well as for applications in various fields such as astronomy, chemistry, and materials science. It allows us to determine the energy levels and transitions of these particles, which can provide valuable information about their properties and interactions.

How is the prediction of spectroscopic transition positions done?

The prediction of spectroscopic transition positions is typically done through the use of theoretical models and computational methods. These methods involve solving mathematical equations that describe the energy levels and transitions of atoms and molecules, taking into account various factors such as electron-electron interactions, nuclear spin, and external fields.

What factors can affect the accuracy of predicted spectroscopic transition positions?

The accuracy of predicted spectroscopic transition positions can be affected by various factors, such as the complexity of the system being studied, the level of approximation used in the theoretical model, and the quality of the input data. In addition, experimental conditions, such as temperature and pressure, can also impact the accuracy of the predictions.

Can spectroscopic transition positions be experimentally measured?

Yes, spectroscopic transition positions can be experimentally measured using techniques such as spectroscopy, which involves analyzing the absorption or emission of electromagnetic radiation by atoms or molecules. However, experimental measurements may not always be feasible or accurate, which is why theoretical predictions are also important.

How are predicted spectroscopic transition positions used in practical applications?

Predicted spectroscopic transition positions have a wide range of applications in different fields. For example, in astronomy, they are used to identify the chemical composition of celestial objects. In chemistry, they can be used to determine reaction pathways and rates. And in materials science, they can help in the design and development of new materials with specific properties.

Similar threads

How Does the Virial Theorem Help Determine Position Uncertainty in a C-H Bond?
Replies
1
Views
2K
I Collision-induced free-free absorption in fluids and superfluids
Replies
13
Views
2K
I Understanding the dynamics of a perturbed quantum harmonic oscillator
Replies
3
Views
877
[PoM] Lennard-Jones potential parameters
Replies
5
Views
2K
Harmonic Oscillator- Energy levels
Replies
1
Views
11K
I Effective Hamiltonian to Rotational Term Values
Replies
0
Views
1K
Statistical thermodynamics question
Replies
1
Views
1K
Understanding MIT's applet on sound with Fourier coefficients
Replies
3
Views
589
How to Calculate Bond Strength in a Molecule?
Replies
4
Views
2K
Sending drive Pulse in CQED and visualize the state by QuTip
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top