P31.1: The rovibrational spectrum of HCl

Plot the simulated spectrum of \(\mathrm{^{1}H^{35}Cl}\) from the previous example on the same Axes as that produced using the experimentally-derived line parameters provided in the file HITRAN_1H-35Cl_1-0.csv for two temperatures: 100 K and 600 K. The relevant fields in this file are identified in the header line as nu (the transition wavenumber, \(\tilde{\nu}_0\), in \(\mathrm{cm^{-1}}\)), sw (the line intensity, \(S(T_\mathrm{ref})\), in \(\mathrm{cm\,molec^{-1}}\)), and elower (the lower state energy, \(E''\), in \(\mathrm{cm^{-1}}\)). The line intensities are given for a reference temperature of \(T_\mathrm{ref} = 296\;\mathrm{K}\) but can be scaled according to:

$$ S(T) = S(T_\mathrm{ref}) \frac{q(T)}{q(T_\mathrm{ref})} \frac{\exp\left(-\frac{c_2 E''}{T}\right)}{\exp\left(-\frac{c_2 E''}{T_\mathrm{ref}}\right)}\frac{\left[ 1 - \exp\left(-\frac{c_2 \tilde{\nu}_0}{T}\right)\right]}{\left[ 1 - \exp\left(-\frac{c_2 \tilde{\nu}_0}{T_\mathrm{ref}}\right)\right]}, $$

where \(c_2 = hc/k_\mathrm{B}\) is the second radiation constant.