Appendices D and E for The ALMA-ATOMS survey: Vibrationally excited HC3N lines in hot cores

Appendix D: Spectra of vibrationally excited HC3N lines in SPW 8
In the survey observations, we detected a total of 7 types of HC3N lines in 52 hot cores, comprising 18 transitions in SPW 8, with none detected in SPW 7, all corresponding to the same J=11−10 transition. Of the 52 hot cores, 29 show more than one HC3N state, and we performed XCLASS fitting on the spectral lines. In Figure D.1, we labeled all detected HC3N* transitions and one HC3N v=0 ground state transition.

Appendix E: Rotational temperature diagram
Figure E.1 presents the RTD analysis for 29 hot cores. Since XCLASS considers the effect of optical depth on line flux, while our RTD calculations do not apply this correction, the rotation temperature derived from RTD is unreliable for optically thick sources. Of these 29 hot cores, only IRAS 18056−1952 is optically thick. For the remaining 28 hot cores, the rotation temperatures obtained from XCLASS and RTD are consistent when considering the errors.