I am currently studying II–VI compound semiconductors doped with transition metals, focusing on the fine structure, the spin states of transition-metal ions, and the interaction between transition metals and excitons. I would like to ask if there are any recommended textbooks or references regarding the theory of crystal-field splitting and related group theory.
What about "Optical Interactions in Solids" by Baldassare Di Bartolo? (Have a look at https://pubs.aip.org/physicstoday/article/23/1/105/427008/Optical-Interactions-in-Solids for a review about the first edition of that book.)
Yes, in brief about this is given in Inorganic Chemistry by James Huheey.
For basics, this source is a great way to start:
https://chem.libretexts.org/Bookshelves/Inorganic_Chemistry/Supplemental_Modules_and_Websites_(Inorganic_Chemistry)/Crystal_Field_Theory/Crystal_Field_Theory
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