Some general observations are:
We let the SRF width and the optical depth (CO2 absorption coefficient * pathlength) float. This procedure ignores errors in the three different "296K" temperatures (gas, collimator optics, 296K blockbody source) and errors in the 310K blackbody temperature (relative errors in the blackbody temperatures between the near and far measurements). A graph of those results shows significant errors in the Q-branch, and an SRF 25% below the nominal value. Also plotted on this graph are results if you keep the SRF widths at their nominal value, and increase the effective pathlength (optical depth) from 20 inches to 24 inches. Away from the Q-branch, this calculation keeps the relative variation in the obs-calcs quite low, but they have a constant bias. This indicates that the SRF width differences might just be due to errors/variations in the various thermal terms that contribute to the calculation of the observed transmittances. At first the Q-branch errors looked like errors in line-mixing, but we believe that is not the case. (Note that for this 1 atm pressure spectrum, line mixing is very important, but we think we can model it much more accurately than the observed errors.) I don't think some combination of (1) thermal errors, (2) optical depth errors, and (3) small changes in the SRF width will fix the Q-branch problem, but more work is need to verify that. It is true that the stronger Q-branch absorption is more sensitive to thermal errors than the weaker P/R branch lines. We checked to see the effect of a "pedestal" upon a nominal spectra; see effect of pedestal plot. The pedestal (actually a hole) used for this test comes from the EM SRF data. If there is a pedestal in the FM SRFs, it must be well below the 1% level.
In this fit we let the optical depth vary, and introduced a term in the fit equivalent to floating the 310K black body temperature. The SRF widths were held fixed at their nominal values. A graph of this fit shows that the Q-branch problem remains. You can also see larger obs-calcs for the P/R branch lines than when we let the SRF float. This indicates that we are going to have to model how errors in the 310K temperature and the three 296K temperatures affect the fits.