Application of the Effective Operator Approach to the Calculation of12C16O2Line Intensities

Infrared Spectra of the 16O12C17O and 16O12C18O Species of Carbon Dioxide: The Region 500–1500 cm−1

“…According to Eq. [5] the laser bands ν 3 − ν 1 and ν 3 − 2ν 2 also belong to the P = 1 series of transitions.…”

“…(13). Within the effective operators approach the linestrength of the transition N J ε ← NJε between states labeled with the vibrational index N , the rotational quantum number J , and the parity ε = ±1 is given by (2,5) …”

“…In previous papers (1-3), global fittings of both line positions and line intensities for 12 C 16 O 2 and 13 C 16 O 2 variants of the carbon dioxide molecule were reported using the effective operator approach (4,5). The sets of effective Hamiltonian parameters obtained allowed us to reproduce all line positions selected from the literature with a root mean-squares (RMS) deviation near to 0.001 cm −1 .…”

“…The sets of effective Hamiltonian parameters obtained allowed us to reproduce all line positions selected from the literature with a root mean-squares (RMS) deviation near to 0.001 cm −1 . The eigenfunctions of these effective Hamiltonians have been used for line intensities fittings (2,3,5,6). The parameters of the matrix elements of the effective dipole moment operators corresponding to several series of transitions have been derived.…”

Line Intensity Measurements in 14N216O and Their Treatment Using the Effective Dipole Moment Approach

“…The definition of the Wang-type basis functions [4] as that by which the effective Hamiltonian is obtained from the vibration-rotation Hamiltonian. Here µ α (α = x, y, z) are the dipole moment components in the molecule-fixed frame and λ α Z stands for the corresponding direction cosine.…”