# INFRARED INTENSITIES AND DIPOLE MOMENT FUNCTIONS OF CO AND HCl.

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 Title: INFRARED INTENSITIES AND DIPOLE MOMENT FUNCTIONS OF CO AND HCl. Creators: Toth, R. A.; Hunt, R. H.; Plyler, Earle K. Issue Date: 1969 Publisher: Ohio State University Abstract: The line intensities of the 3-0 band of CO and the 1-0 and 2-0 bands of HCl have been obtained using a high resolution infrared spectrometer and low gas pressures to minimize wing and base corrections. The intensity for the 3-0 band of CO was found to be $0.0123 \pm 0.0004 atm^{-1} cm^{-2}$ at $300^{\circ}K$. The intensities for the $1-0$ and $2-0$ bands of HCl were found to be $131 \pm 4$ and $3.68 \pm 0.10 atm^{-1} cm^{-2}$ at $300^{\circ}K$ respectively. These results and previous data for the $1-0$ and $2-0$ bands of CO and the $3-0$ band of HCl were used in conjunction with theoretical expression derived for the matrix elements of the $1-0, 2-0$ and $3-0$ vibration-rotation bands to obtain dipole moment functions for CO and HCl. The derivation of these matrix elements is based on a cubic dipole moment function and on radial wave functions obtained using a quintic power series expansion of the inter-nuclear potential and perturbation theory. The results are given in the form of a rotationless matrix element multiplied by a rotational or Herman-Wallis factor. For CO the dipole moment function was found to be, in Debyes, $M(r) = -0.112+3.10(r-r_{e})-0.31(r-r_{e})^{2}-2.28(r-r_{e})^{3}$. The dipole moment function for HCl was found to be $M(r) = 1.09+0.896(r-r_{e})-0.074(r-r_{e})^{2}-0.68(r-r_{e})^{3}$. Description: This work was supported, in part, by the National Science Foundation. Author Institution: Department of Physics, Florida State University URI: http://hdl.handle.net/1811/15766 Other Identifiers: 1969-M-7