Research output: Contribution to journal › Article › peer-review
Optimal values of rovibronic energy levels for triplet electronic states of molecular deuterium. / Lavrov, B. P.; Umrikhin, I. S.
In: Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 41, No. 10, 105103, 28.05.2008.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Optimal values of rovibronic energy levels for triplet electronic states of molecular deuterium
AU - Lavrov, B. P.
AU - Umrikhin, I. S.
PY - 2008/5/28
Y1 - 2008/5/28
N2 - An optimal set of 1050 rovibronic energy levels for 35 triplet electronic states of D2 has been obtained by means of a statistical analysis of all available wavenumbers of triplet-triplet rovibronic transitions studied in emission, absorption, laser and anticrossing spectroscopic experiments of various authors. We used a new method of analysis (Lavrov and Ryazanov 2005 JETP Lett. 81 371-4), which does not need any a priori assumptions concerning the molecular structure, being based on only two fundamental principles: Rydberg-Ritz and maximum likelihood. The method provides the opportunity to obtain the root-mean-square estimates for uncertainties of the experimental wavenumbers independent from those presented in the original papers. A total of 234 from 3822 published wavenumber values were found to be spurious, while the remaining set of the data may be divided into 20 subsets (samples) of uniformly precise data having close to normal distributions of random errors within the samples. New experimental wavenumber values of 125 questionable lines were obtained in the present work. Optimal values of the rovibronic levels were obtained from the experimental data set consisting of 3713 wavenumber values (3588 old and 125 new). The unknown shift between levels of ortho- and para-deuterium was found by least-squares analysis of the a3Σ +g, v = 0, N = 0 18 rovibronic levels with odd and even values of N. All the energy levels were obtained relative to the lowest vibro-rotational level (v = 0, N = 0) of the a3Σ +g electronic state, and presented in tabular form together with the standard deviations of the empirical determination. New energy-level values differ significantly from those available in the literature.
AB - An optimal set of 1050 rovibronic energy levels for 35 triplet electronic states of D2 has been obtained by means of a statistical analysis of all available wavenumbers of triplet-triplet rovibronic transitions studied in emission, absorption, laser and anticrossing spectroscopic experiments of various authors. We used a new method of analysis (Lavrov and Ryazanov 2005 JETP Lett. 81 371-4), which does not need any a priori assumptions concerning the molecular structure, being based on only two fundamental principles: Rydberg-Ritz and maximum likelihood. The method provides the opportunity to obtain the root-mean-square estimates for uncertainties of the experimental wavenumbers independent from those presented in the original papers. A total of 234 from 3822 published wavenumber values were found to be spurious, while the remaining set of the data may be divided into 20 subsets (samples) of uniformly precise data having close to normal distributions of random errors within the samples. New experimental wavenumber values of 125 questionable lines were obtained in the present work. Optimal values of the rovibronic levels were obtained from the experimental data set consisting of 3713 wavenumber values (3588 old and 125 new). The unknown shift between levels of ortho- and para-deuterium was found by least-squares analysis of the a3Σ +g, v = 0, N = 0 18 rovibronic levels with odd and even values of N. All the energy levels were obtained relative to the lowest vibro-rotational level (v = 0, N = 0) of the a3Σ +g electronic state, and presented in tabular form together with the standard deviations of the empirical determination. New energy-level values differ significantly from those available in the literature.
UR - http://www.scopus.com/inward/record.url?scp=44449087809&partnerID=8YFLogxK
U2 - 10.1088/0953-4075/41/10/105103
DO - 10.1088/0953-4075/41/10/105103
M3 - Article
AN - SCOPUS:44449087809
VL - 41
JO - Journal of the European Optical Society Part B: Quantum Optics
JF - Journal of the European Optical Society Part B: Quantum Optics
SN - 0953-4075
IS - 10
M1 - 105103
ER -
ID: 36193083