Statistics – Applications
Scientific paper
Aug 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981jmosp..88..352t&link_type=abstract
Journal of Molecular Spectroscopy, vol. 88, 1981, p. 352-363.
Statistics
Applications
40
Dipole Moments, Molecular Rotation, Silicon Oxides, Stellar Atmospheres, Vibrational Spectra, Atmospheric Composition, Infrared Spectra, Isotopes, Least Squares Method, Pade Approximation
Scientific paper
Dipole moment matrix elements have been computed for a large number of transitions of astrophysical interest for the more abundant isotopes of SiO. The wave functions utilized were obtained from a direct solution of the Schroedinger equation with an accurate RKR potential. The dipole moment function, in the form of a Pade approximant, was chosen to reproduce the experimental measurements near equilibrium, to have the proper united and separated atom limits, and to have the correct long-range asymptotic dependence on internuclear separation. Because of the large number of transitions involved, and to facilitate applications, the squares of the dipole moment matrix elements were fitted by a least-squares procedure to polynomials in v and J. In addition, Einstein A coefficients are given for observed maser transitions and for selected vibrational bands. These latter are compared with previous calculations, and it is concluded that for the higher Delta v transitions, the present results represent a significant improvement.
Chackerian Charles Jr.
Tipping R. H.
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