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\documentclass[11pt]{article}

\usepackage{hrms}
\usepackage{epsfig,graphics,wrapfig}

%% *-----------------------------------------------------------------------------------------*

\title{MODIFIED COMPLEX ROBERT-BONAMY LINE SHAPE CALCULATIONS FOR THE CO$_2$-H$_2$O COLLISION SYSTEM}

\author{\underline{\FirstName R. \LastName GAMACHE}}
 \address{University of Massachusetts Lowell, 265 Riverside Street, 01854, Lowell, MA, USA}

\author{\underline{\FirstName B. \LastName VISPOEL}}
 \address{Research unit Lasers and Spectroscopies (LLS), Institute of Life, Earth and Environment (ILEE), University of Namur, 61 Rue de Bruxelles, Namur, Belgium}


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  Aug. 28 - Sept. 1, 2023}}}
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\index{CO$_2$-H$_2$O}
\index{Line Shape parameters}

Modified Complex Robert-Bonamy (MCRB) calculations were made for the CO$_2$-H$_2$O collision system using an intermolecular potential comprised of quadrupole-dipole, quadrupole-quadrupole, atom-atom component expanded to 20$^{th}$ order and rank 4, induction and London dispersion terms. The intermolecular potential was refined using the measurements of Sung \emph{et al.}\footnote{
\href {http://dx.doi.org/10.1139/P08-130}{doi:10.1139/P08-130}, K. Sung, L.R. Brown, R.A. Toth, T.J. Crawford, \textit {Can. J. Phys.} \textbf {87}, 469-484, (2009).} for 46 $\nu_3$ transitions up to \emph{J"}=60. The final potential gives results that compare very well with the measurements of Sung \emph{et al.}; average percent difference of 0.07 and a standard deviation of 1.10 percent. See the figure below.

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This intermolecular potential was used to make calculations for all transitions in the (00001)-(00011), (00001)-(00001), and (01101)-(00001) bands for \emph{J} up to 120 and a temperature range of 200-3000 K. The temperature dependence of the half-widths and line shifts were determined via the Gamache-Vispoel model\footnote{
\href {http://dx.doi.org/10.1016/j.jqsrt.2018.05.019}{doi:10.1016/j.jqsrt.2018.05.019}, 
R.R. Gamache and B. Vispoel, \textit {J. Quant. Spectrosc. Radiat. Transfer}
\textbf {217}, 440-452, (2018).}. 
Calculations are being made for other bands with large numbers of $\nu_1$, $\nu_2$, and  $\nu_3$ quanta exchanged in order to study the vibrational dependence of the half-widths and line shifts and to develop a prediction routine.\footnote{
\href {http://dx.doi.org/10.1016/j.jqsrt.2013.05.021}{doi:10.1016/j.jqsrt.2013.05.021}, 
R.R. Gamache and J. Lamouroux, \textit {J. Quant. Spectrosc. Radiat. Transfer}
\textbf {117}, 93-103, (2013).}. 

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