Inorganic crystal structure theory for linear birefringenc

[enotstrebor]

There is a crystal structure relationship for circular birefringence which can tell you if a crystal structure will have circular birefringence and its handedness (left,right) (e.g. "On the origin of optical activity in crystal structures" J. Appl. Cryst. 1986. 19, 108-122, A. M. Glazer and K. Stadnicka) and even a crystal structure computational formalism (e.g. Theory and computation of optical rotatory power in inorganic crystals Acta Cryst. 1986. A42, 560-569 V. Devarajan and A. M. Glazer) where given the crystal atomic geometry and atomic polarizability one can compute the resultant circular birefringence index of refraction.

These papers relate/give the physical property specifics that can be related to the produce the photon behavior (a physical cause and effect relationship).

I have found no such linear birefringence relationship for between crystal structure and atomic polarizability which is predictive in nature.

Question ---- Does a one exist?

 

[AndyW]

I can confirm that there is currently no known linear birefringence relationship between crystal structure and atomic polarizability that is predictive in nature. While there are numerous studies and theories exploring the relationship between crystal structure and linear birefringence, there is no definitive formula or model that can accurately predict the birefringence behavior of a crystal based solely on its atomic geometry and polarizability.

However, this does not mean that such a relationship does not exist. Research in this area is ongoing and it is possible that in the future, a more comprehensive understanding of the physical properties and interactions within crystals may lead to the development of a predictive linear birefringence relationship. Until then, the studies and models mentioned in your forum post can provide valuable insights and understanding of the behavior of circular birefringence in crystal structures.