How does the Hamaker Constant relate to the refractive indices of materials?

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Discussion Overview

The discussion centers on the relationship between the Hamaker Constant and the refractive indices of materials, particularly in the context of interactions between solute particles in a medium. The scope includes theoretical considerations and technical explanations regarding dielectric constants and complex refractive indices.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that the Hamaker Constant is dependent on the dielectric constants and refractive indices of the materials involved, questioning how refractive indices affect molecular interactions.
  • Another participant explains the relationship between refractive index and dielectric constant, mentioning that the Hamaker Constant is derived by considering complex refractive indices and frequencies, indicating a more complicated relationship than initially perceived.
  • A later reply emphasizes the connection between complex refractive indices and complex frequencies or wavenumbers, suggesting that absorption leads to attenuation and affects these parameters.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the complexity of the relationship between the Hamaker Constant and refractive indices, with no consensus reached on the implications of these relationships.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about the relationship between refractive indices and molecular interactions, as well as the dependence on specific boundary conditions in the context of absorption.

The-Exiled
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For a pair of solute particles in a medium. The interaction is generally described by the Hamaker Constant which is dependent on the dielectric constants and the refractive indices of the materials involved.

Why is the interaction of the molecules dependent on the refractive indices of the materials? I don't see how that has any effect on the interactions.
 
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The refractive index and dielectric constant are related to each other. However, it's important to keep in mide that the Hamaker constant is derived not only by allowing the refractive index to be complex (absorption is the imaginary component of the refractive index/permittivity) but also by allowing the frequency to become complex:

http://www.lrsm.upenn.edu/~frenchrh/feature_article.htm

http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JHTRAO000100000001000155000001&idtype=cvips&gifs=yes&ref=no

http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V5F-43N1M6R-1X&_user=7774119&_coverDate=12%2F31%2F1980&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_searchStrId=1531834982&_rerunOrigin=google&_acct=C000062847&_version=1&_urlVersion=0&_userid=7774119&md5=124f451514e2f492aba1786a1a5365a4&searchtype=a

I had a really good article by some Russian dudes, can't seem to find it...
 
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Thanks for the links, it seems it was a lot more complicated than I had first thought.

Thanks for your help.
 
Complex refractive index and complex frequencies and/or wavenumbers are related.
With absorption, a wave will be attenuated leading to a complex wavenumber or a complex frequency depending on the boundary conditions.
 

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