Ziurys Group
Ziurys Group Rotational Spectroscopy Research
Arizona Radio Observatory

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Spectroscopic Notation and Quantum Numbers

Matrix Elements

The following links contain rotational matrix elements. Operators that are exclusively used in one basis or the other will only be listed in that basis. Appropriate factors of h/2p are assumed. The majority of these elements are taken from the code developed by J. M. Brown and co-workers (hundapc and hundbpc) and can be found in Brown et. al., Mol. Phys. 36, 553 (1978). Additional references are contained within.
Hund's case (a):
Rotation
Spin Orbit-Coupling
Lambda Doubling (P states only)
Spin-Rotation
Spin-Spin
Magnetic Hyperfine
Electric Hyperfine

Hund's case (b):
Transformation from case(a) to case(b)
Rotation
Spin-Orbit Coupling
Spin-Rotation
Spin-Spin
Magnetic Hyperfine
Electric Hyperfine
Lambda Doubling (P states only)

Linear Molecules (S states):
l-type Doubling