# Symmetry and irreducible representation

## Main Question or Discussion Point

1. could anyone give sorta a qualititative explanation of how symmetry and irreducible representation are related in the context of molecular spectroscopy? like why is it so useful to count how many symmetries a molecule has and what does it have to do with irreducible represenations and spectroscopy?

2. could anyone point me to a book/website with a lucid discussion of it -- preferrably an explanation fit for a physicist (like one rife with examples and explanations not like thm/remark/proof style).
im reading sternberg right now -- its good, but its still confusing.

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$$\left\langle\psi_{f}\right|\vec{\mu}\left|\psi_{i}\right\rangle=0$$