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Optica Publishing Group
  • Applied Spectroscopy
  • Vol. 46,
  • Issue 3,
  • pp. 513-517
  • (1992)

Improved Intensity Formulae for the Determination of Rotational Temperature from the Perturbed Band Structure

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Abstract

Improved formulae for the intensity profile of the rotational lines have been derived for the [<i>nd</i>σΣ<sup>+</sup>, <i>nd</i>ππ, <i>nd</i>δΔ] (Hund's case d)-<i>n'p</i>ππ (case b) electronic bands of diatomic molecules with respect to the <i>l</i>-uncoupling interaction among the upper states. As an application of the formulae, the rotational temperature in the dc discharge plasma was determined from the analysis of the band structure of the He<sub>2</sub>[3<i>d</i>σ<i>f</i><sup>3</sup>Σ<sup>+</sup><sub><i>u</i></sub>, 3<i>d</i>π<i>f</i><sup>3</sup>π<sub><i>u</i></sub>, 3<i>d</i>δ<i>f</i><sup>3</sup>Δ<sub><i>u</i></sub>] ← 2<i>p</i>π<i>b</i><sup>3</sup>π<sub><i>g</i></sub> (0-0) absorption bands. The formulae were also applied to the H<sub>2</sub>[3<i>d</i>σ<i>g</i><sup>3</sup>Σ<sup>+</sup><sub><i>u</i></sub>, 3<i>d</i>π<i>i</i><sup>3</sup>π<sub><i>u</i></sub>, 3<i>d</i>δ<i>j</i><sup>3</sup>Δ<sub><i>u</i></sub>] → 2<i>p</i>π<i>c</i><sup>3</sup>π<sub><i>g</i></sub> (0-0) emission bands.

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