“…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.…”
Section: Line Intensity Calculationsmentioning
confidence: 97%
“…(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) …”
Section: Line Intensity Calculationsmentioning
confidence: 99%
“…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 .…”
Section: Introductionmentioning
confidence: 98%
“…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.…”
“…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.…”
Section: Line Intensity Calculationsmentioning
confidence: 97%
“…(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) …”
Section: Line Intensity Calculationsmentioning
confidence: 99%
“…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 .…”
Section: Introductionmentioning
confidence: 98%
“…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.…”
“…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.…”
Section: Modelling and Fitting Of The Line Intensitiesmentioning
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