Abstract
The spin-orbit, spin-spin, and spin-rotation contributions to the fine-structure of 3Π states in homonuclear diatomic molecules are derived using the irreducible tensor approach to angular momentum and modern conventions for the definitions of matrix elements. The Zeeman splitting of the triplet-state fine-structure is also included since it is a convenient interaction that provides the transition intensity to all fine-structure sublevels in spectroscopic experiments that depend upon spin-orbit allowed intercombination transitions between ground singlet and electronically excited triplet states. The derivation is presented for Hund's case (b) basis functions.
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