The H_{3}O^{+} molecules is a triangular pyramid with C_{3}_{V} symmetry. The inversion splitting is very large (around 55 wavenumbers). Therefore, it was neglected in the calculations by Faure et al. It can be treated as a symmetric top, and has ortho- (when K=0, 3n) and para-modifications (3n+1,3n+2). An energy level diagram can be seen in Phillips et al (1992). The energies used by Faure et al are coming from the JPL database.

Energy origin = ground state of para-H3O+

- Faure A., Tennyson J.. Rate coefficients for electron-impact rotational excitation of H
_{3}^{+}and H_{3}O^{+}M.N.R.A.S. vol340 : p468--472, 2003, April - Phillips T.~R., van Dishoeck E.~F., Keene J.. Interstellar H3O+ and its relation to the O2 and H2O abundances Ap. J. vol399 : p533--550, 1992, November

- J
- is the quantum number associated with the total angular momentum excluding nuclear spin
- K
- Absolute value of total angular momentum along axis of symmetric rotor, exclusive of electron spin
- sym_inv
- symmetry of the vibrational wfunction describing the umbrella motion (0 for symmetric, 1 for anti-sym)

Level | Energy (cm^{-1}) |
J | K | sym_inv |

1 | 5.100705 | 1 | 0 | 0 |

2 | 37.947155 | 0 | 0 | 1 |

3 | 104.238861 | 2 | 0 | 1 |

4 | 117.457087 | 3 | 0 | 0 |

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Date |
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Published | 1 | 2012-06-01 |