# ROTATIONAL BRANCH STRENGTHS FOR $O_{2}(A^{3}\Sigma_{u}^{+}\leftrightarrow X^{3}\Sigma_{g}^{-})$

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 Title: ROTATIONAL BRANCH STRENGTHS FOR $O_{2}(A^{3}\Sigma_{u}^{+}\leftrightarrow X^{3}\Sigma_{g}^{-})$ Creators: Huestis, D. L.; Slanger, T. G. Issue Date: 1983 Publisher: Ohio State University Abstract: The forbidden $A^{3}\Sigma_{u}^{+} \leftrightarrow X^{3}\Sigma_{g}^{-}$ transition in $O_{2}$ consists of the expected 13 rotational $branches^{1}$ but with relative intensities that are difficult to explain with simple single-perturber $formulas.^{2}$ To permit satisfactory simulation of this important transition in nightglow emission spectra we have developed a model that assumes spin-orbit mixing of $B^{3}\Sigma_{u}^{-}$ with $A^{3}\Sigma_{u}^{+}$ and spin-orbit and rotational mixing of $1^{3}\Pi_{g}$ with $X^{3}\Sigma_{g}^{-}$. Destructive interference between approximately equal contributions of $^{3}\sigma_{u}^{-}$ and $^{3}\Pi_{g}$ is required to suppress the calculated O- and S-form branch intensities. Simultaneous spin-orbit and rotational mixing of $^{3}\Pi_{g}$ is required to adjust the relative intensities of the Q-form branches. 1. G. Herzberg, Can. J. Phys. 30, 185 (1952). 2. R. D. Present, Phys. Rev. 48, 140 (1935). Supported by NSF Grant ATM-8011954. Description: Author Institution: Molecular Physics Laboratory, SRI International URI: http://hdl.handle.net/1811/12031 Other Identifiers: 1983-WF-03