2024ApJ...974..231H

Measuring the strength of a three-dimensional (3D) magnetic field vector is challenging as it is not easy to recognize whether its line-of-sight (LOS) and plane-of-sky (POS) components are obtained from the same region. CN (N = 1-0) emission has been used to get the LOS component of a magnetic field (B_LOS) from its Zeeman splitting lines, while dust continuum emission has been used to get the POS component of a magnetic field (B_POS). We use the CN (N = 1-0) data observed with the Taeduk Radio Astronomy Observatory 14 m telescope and the dust continuum data from the Herschel archive toward six high-mass star-forming regions in order to test whether CN line and dust continuum emission can trace a similar region and thus can be used for inferring 3D magnetic field strength. Our comparison between CN and H₂ column densities for all targets indicates that CN line emission tends to be strong toward bright continuum regions. The positions of peak CN column densities are particularly well correlated with those of peak H₂ column densities, at least over the H₂ column density of 8.0 × 10²² cm^–2 within one or two telescope beam sizes in all targets, implying that CN-line- and dust-continuum-emitting regions are likely spatially coincident. This enabled us to make the reliable measurement of the 3D magnetic field strengths of five targets by taking a vector sum of their B_LOS and B_POS, helping to decide the magnetical criticality of the targets as supercritical or transcritical.