1. From McQuarrie & Simon “Physical Chemistry – A Molecular Approach”

2. From W. Demtröder “Molecular Physics”

4. Basic QM and Nomenclature for Electronic States of Linear Molecules
Nodal structure gives rise to three quantum numbers:
n-1 = total number of nodal planes
ℓ = number of nodal planes in  and 
 = number of nodal planes in 
0 ≤  ≤ ℓ ≤ n-1
Cylindrical symmetry, so ℓ is not a good quantum number anymore, but mℓ is
Energy depends on mℓ2, not mℓ, so states with ±mℓ are degenerate, use  = |mℓ| to describe unique energy
Notation for 1-e—orbitals: , , , , .... for  = 0,1,2,3,...
Parity (for molecules with inversion symmetry only) g/u subscript
Molecular orbitals denoted g/u
Spin z-projection is a good quantum number: ms =  = ±1/2
Fine structure splitting in 1-e—systems (in analogy to atoms): Vℓ,s = A··ms