- string
`nuclearSpinRef`: a label identifying the nuclear spin coupled to(or*J*) to form the total angular momentum*F*_{j}- non-negative integer or half-integer
`nuclearSpinRef`: a label identifying the nuclear spin being coupled toor*J*to form an intermediate angular momentum*F*_{j-1}`j`: an integer label identifying the order of the hyperfine coupling- non-negative integer or half-integer
`nuclearSpinRef`: a whitespace delimited list of labels identifying the nuclear spins coupled to form*I*`id`: a label identifying the nuclear spin angular momentum,, formed by this coupling*I*- non-negative integer or half-integer
- non-negative integer
- non-negative integer
*K*≤*J*- integer
`mode`: a positive integer, identifying the degenerate normal mode that this vibrational angular momentum quantum number is associated with- non-negative integer
- |
*l*| =_{i}*v*,_{i}*v*-2, ..., 1 or 0_{i} - '+' or '-'
- positive integer
`group`: the symmetry group to which this species belongs- string
`group`: the symmetry group to which this species belongs- string
`mode`: a positive integer, identifying the normal mode that this quantum number is associated with- non-negative integer
- 's' or 'a'
`group`: the symmetry group to which this species belongs- string

`ElecStateLabel` is a label identifying the electronic state: *X*, *A*, *a*, *B*, etc.

*F* is the quantum number associated with the total angular momentum including nuclear spin: ** F** =

*F _{j}* is the intermediate angular momentum quantum number associated with the coupling of the nuclear spin angular momentum of nucleus j to the intermediate angular momentum:

*I* is a nuclear spin quantum number corresponding to the coupling of the nuclear spin angular momenta of two or more identical nuclei, * I* =

*J* is the quantum number associated with the total angular momentum excluding nuclear spin, ** J**.

*K* is the quantum number associated with the projection of the total angular momentum excluding nuclear spin, ** J**, onto the molecular symmetry axis.

*l* is a signed quantum label often used to describe the total vibrational angular momentum.

*l _{i}* is the vibrational angular momentum quantum number associated with the degenerate ν

`parity` is the total parity: the parity of the total molecular wavefunction (excluding nuclear spin) with respect to inversion through the molecular centre of mass of all particles' coordinates in the laboratory coordinate system, the *E ^{*}* operation.

*r* is a named, positive integer label identifying the state if no other good quantum numbers or symmetries are known.

`rotSym` is the symmetry species of the rotational wavefunction, in some appropriate symmetry group.

`rovibSym` is the symmetry species of the rovibrational wavefunction, in some appropriate symmetry group.

*v _{i}* is the vibrational quantum number associated with the ν

`vibInv` is the parity of the vibrational wavefunction with respect to inversion through the molecular centre of mass in the molecular coordinate system. Only really necessary for molecules with a low barrier to such an inversion (for example, NH_{3}).

`vibSym` is the symmetry species of the vibrational wavefunction, in some appropriate symmetry group.