- 's' or 'a'
- 'g' or 'u'
- '+' or '-'
- 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
- 'e' or 'f'
- integer
- non-negative 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} - non-negative integer
*N*≥ |*Λ*|- '+' or '-'
- positive integer
- 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
- 'g' or 'u'
- '+' or '-'

`asSym` is (for molecules with a centre of inversion) the symmetry of the rovibronic wavefunction: 'a' or 's' such that the total wavefunction including nuclear spin is symmetric or antisymmetric with respect to permutation of identical nuclei (*P _{12}*), according to whether they are bosons or fermions respectively.

`elecInv` is the parity of the electronic wavefunction with respect to inversion through the molecular centre of mass in the molecular coordinate system.

`elecRefl` is the parity of the electronic wavefunction with respect to reflection in a plane containing the molecular symmetry axis in the molecular coordinate system (equivalent to inversion through the molecular centre of mass in the laboratory coordinate system).

`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 identical nuclei, * I* =

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

`kronigParity` is the 'rotationless' parity: the parity of the total molecular wavefunction excluding nuclear spin and rotation with respect to inversion through the molecular centre of mass of all particles' coordinates in the laboratory coordinate system. For integer *J*, total parity is +(-1)^{J} for 'e' states and -(-1)^{J} for 'f' states.

*l* is the total vibrational angular momentum quantum number associated with resultant vibrational angular momentum about the internuclear axis.

|*Λ*| is the quantum number associated with the magnitude of the projection of the total electronic orbital angular momentum, ** L**, onto the molecular axis.

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

*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.

*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.

`vibRefl` is the parity of the vibrational wavefunction with respect to reflection in a plane containing the molecular symmetry axis in the molecular coordinate system.