Relative Velocities between ¹³CO Structures within ¹²CO Molecular Clouds

Velocity fields of molecular clouds (MCs) can provide crucial information on the merger and split between clouds, as well as their internal kinematics and maintenance, energy injection and redistribution, and even star formation within clouds. Using the CO spectral lines data from the Milky Way Imaging Scroll Painting survey, we measure the relative velocities along the line of sight (Delta V-LOS) between (CO)-C-13 structures within (CO)-C-12 MCs. Emphasizing MCs with double and triple (CO)-C-13 structures, we find that approximately 70% of Delta V-LOS values are less than similar to 1 km s(-1), and roughly 10% of values exceed 2 km s(-1), with a maximum of similar to 5 km s(-1). Additionally, we compare Delta V-LOS with the internal velocity dispersion of (CO)-C-13 structures (sigma(13CO,in)) and find that about 40% of samples in either double or triple regime display distinct velocity discontinuities, i.e., the relative velocities between (CO)-C-13 structures are larger than the internal line widths of (CO)-C-13 structures. Among these 40% samples in the triple regime, 33% exhibit signatures of combinations through the two-body motion, whereas the remaining 7% show features of configurations through the multiple-body motion. The Delta V-LOS distributions for MCs with double and triple (CO)-C-13 structures are similar, as well as their Delta V-LOS/sigma(13CO,in) distributions. This suggests that relative motions of (CO)-C-13 structures within MCs are random and independent of cloud complexities and scales.