- 'g' or 'u'
- string
`group`: the symmetry group to which this species belongs- 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 or half-odd integer
- non-negative integer
*K*≤_{a}*N**K*+_{a}*K*=_{c}*N*or*N*+ 1- non-negative integer
*K*≤_{c}*N**K*+_{a}*K*=_{c}*N*or*N*+ 1- non-negative integer
- '+' or '-'
- positive integer
`group`: the symmetry group to which this species belongs- string
`group`: the symmetry group to which this species belongs- string
- non-negative integer or half-odd integer
`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

`elecInv` is the parity of the electronic wavefunction with respect to inversion through the molecular centre of mass in the molecular coordinate system (for molecules with a centre of symmetry).

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

`elecSym` is the symmetry species of the electronic wavefunction described by some symmetry group.

*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 _{a}* is the rotational quantum label of an asymmetric top molecule, correlating to

*K _{c}* is the rotational quantum label of an asymmetric top molecule, correlating to

*N* is the quantum number associated with the total angular momentum excluding electronic and nuclear spin, **N**: ** J** =

`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.

*S* is the quantum number associated with the total electronic spin angular momentum, ** S**.

*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.

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