What Are Beginner-Friendly Resources on the Lorentz Oscillator Model?

In summary, the conversation is about the Lorentz Oscillator Model of the atom and the search for resources discussing it at a similar level. The difficulty of estimating the spring constant in the model is also mentioned, with the suggestion to use the absorption coefficient and plot the real and imaginary portions of the dielectric coefficient or polarization to estimate k.
  • #1
radiogaga35
34
0
Hi there

I found the following nice webpage that gives a brief discussion of the Lorentz Oscillator Model of the atom: http://webphysics.davidson.edu/Projects/AnAntonelli/node5.html. It's part of someone's honours thesis. (Unfortunately the pictures are very small, but nevermind.)

Can anyone recommend any other resources (webpages, books, textbooks, etc.) that discuss this classical Lorentz Oscillator model of the atom, at a similar level? By similar I mean the S.H.M treatment, and discussion of how this model can be used to understand (some) basic aspects of atom-field interactions.

I've searched through various journals, and there are articles discussing the model in some context or the other, but all of these seem very technical and/or specific to some field (e.g applied optics!).

Thank you for your help!
 
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  • #2
Ok, found one or two articles, but now a different difficulty:

Any suggestions as to how I can estimate the spring constant ('k') in this atomic oscillator model? The (imaginary) spring being the electrostatic force bonding the electron to the positive nucleus.

Thanks
 
  • #3
k is related to the absorption coefficient. If you plot the real and the imaginary portions of the diecletric coefficient or polarization, you'll be able to figure out how to estimate the spring constant of the atom.
 

1. What is the Lorentz Oscillator Model?

The Lorentz Oscillator Model is a theoretical model in physics that explains the behavior of an electric dipole in an electromagnetic field. It describes the motion and interactions of charged particles in a material when subjected to an external electric field.

2. How does the Lorentz Oscillator Model work?

The model is based on the concept of harmonic oscillators, where the charged particles in a material act as tiny oscillators that vibrate at their natural frequencies when exposed to an electric field. These oscillations create a polarization effect, which is the displacement of charge within the material.

3. What are the applications of the Lorentz Oscillator Model?

The model is used to explain the optical, electrical, and magnetic properties of materials. It is commonly applied in the study of dielectric materials, such as insulators, semiconductors, and ferroelectrics. It is also used in the development of technologies like lasers, optical fibers, and electronic devices.

4. How is the Lorentz Oscillator Model different from other models?

The model takes into account the interactions between charged particles in a material, which allows for a more accurate description of the material's behavior. Other models, like the Drude model, only consider the motion of individual particles and do not account for their interactions.

5. What are the limitations of the Lorentz Oscillator Model?

The model assumes that the particles in a material are in perfect alignment with the external electric field, which is not always the case in real materials. It also does not take into account quantum effects, which may be significant in some materials. Additionally, the model may not accurately describe the behavior of materials at high temperatures or in extreme conditions.

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