Results from SiO, CS, and SiS analysis for IK Tau. The top panels show the observed intensities (see Table A.4) as black filled circles and the calculated ones of the best-fit model as red empty circles. The bottom panels show χ² as a function of the logarithm of the e-folding radius, log r_e, and the logarithm of the fractional abundance relative to H₂, log ƒ₀. The white contours correspond to 1, 2, and 3σ levels. Similar plots for IRC +10216 are shown in Fig. 5 and for other stars in Fig. A.4 (SiO), Fig. A.5 (CS), and Fig. A.6 (SiS).