# THE $3\nu_{2}$ OVERTONE BAND OF $H_{3}^{+}$

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 Title: THE $3\nu_{2}$ OVERTONE BAND OF $H_{3}^{+}$ Creators: Ventrudo, Brian F.; Guo, Zhaoyu; Cassidy, Daniel T.; Joo, Sangwoo; Oka, T. Issue Date: 1993 Publisher: Ohio State University Abstract: Because of the small mass of hydrogen and the relatively shallow vibrational potential, the transition probabilities of overtone bands of $H_{3}^{+}$ do not decrease as drastically as those of other molecules. According to the first principle calculation by Dinelli, Miller, and $Tennyson^{1}$, the spontaneous emission probability of the second overtone band $3\nu_{2} (\ell = 1) \rightarrow 0$ is smaller than that of the fundamental band by a factor of less than 10. This corresponds to the reduction of absorption coefficient of about 180 and the spectrum is observable at the $H_{3}^{+}$ ion concentration of $3 \times 10^{10} cm^{-3}$. We have observed 15 vibration rotation transitions from 7265.9 to $6806 cm^{-1}$. InGaAsP diode lasers were used in a short-external cavity configuration to achieve laser operation in a single longitudinal mode. The observed frequencies agree with earlier prediction by Miller and Tennyson within $3 cm^{-1}$ but agree better with their new $prediction^{2}$. URI: http://hdl.handle.net/1811/18475 Other Identifiers: 1993-MG-2