Table C.1
Estimates of Zeeman-induced circular polarization fractions, linear polarization fractions, and Zeeman broadening of CN transitions excited in a TW Hya-like disk, relevant to ALMA polarization measurements.
| N | J | F | N′ | J′ | F′ | v (GHz) | PV(%) | ф′ = 0° ΔvZ (m/s) | Pl (%) | PV(%) | ф′ = 90° ΔvZ (m/s) | PI (%) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 0.5 | 0.5 | 0 | 0.5 | 1.5 | 113.14416 | 2.24 | 27.21 | 7.30 | 1.06 | 26.96 | 7.38 |
| 1 | 0.5 | 0.5 | 0 | 0.5 | 0.5 | 113.12337 | −0.64 | 9.58 | 1.83 | −0.30 | 9.64 | 1.85 |
| 1 | 0.5 | 1.5 | 0 | 0.5 | 1.5 | 113.19128 | 0.64 | 82.63 | 13.43 | 0.30 | 83.10 | 13.58 |
| 1 | 0.5 | 1.5 | 0 | 0.5 | 0.5 | 113.17049 | −0.31 | 3.86 | 0.01 | −0.15 | 3.86 | 0.01 |
| 1 | 1.5 | 2.5 | 0 | 0.5 | 1.5 | 113.49097 | 0.57 | 6.62 | 0.26 | 0.27 | 6.61 | 0.26 |
| 1 | 1.5 | 1.5 | 0 | 0.5 | 1.5 | 113.50891 | 1.65 | 16.34 | 3.50 | 0.79 | 16.22 | 3.54 |
| 1 | 1.5 | 1.5 | 0 | 0.5 | 0.5 | 113.48812 | 2.22 | 46.10 | 6.34 | 1.06 | 45.88 | 6.41 |
| 1 | 1.5 | 0.5 | 0 | 0.5 | 1.5 | 113.52043 | 1.59 | 15.43 | 3.63 | 0.76 | 15.31 | 3.67 |
| 1 | 1.5 | 0.5 | 0 | 0.5 | 0.5 | 113.49964 | 0.64 | 32.17 | 9.08 | 0.30 | 32.49 | 9.18 |
| 2 | 1.5 | 0.5 | 1 | 0.5 | 0.5 | 226.66369 | −0.38 | 2.38 | 0.46 | −0.15 | 2.40 | 0.46 |
| 2 | 1.5 | 0.5 | 1 | 0.5 | 1.5 | 226.61657 | −0.19 | 0.96 | 0.00 | −0.07 | 0.96 | 0.00 |
| 2 | 1.5 | 0.5 | 1 | 1.5 | 1.5 | 226.29894 | 1.33 | 11.59 | 1.60 | 0.53 | 11.53 | 1.61 |
| 2 | 1.5 | 0.5 | 1 | 1.5 | 0.5 | 226.28742 | 0.38 | 8.09 | 2.28 | 0.15 | 8.17 | 2.31 |
| 2 | 1.5 | 1.5 | 1 | 0.5 | 0.5 | 226.67931 | −0.72 | 2.88 | 0.50 | −0.29 | 2.86 | 0.50 |
| 2 | 1.5 | 1.5 | 1 | 0.5 | 1.5 | 226.63219 | −0.44 | 0.78 | 0.18 | −0.18 | 0.78 | 0.18 |
| 2 | 1.5 | 1.5 | 1 | 1.5 | 2.5 | 226.33250 | 1.58 | 16.92 | 2.22 | 0.63 | 16.84 | 2.24 |
| 2 | 1.5 | 1.5 | 1 | 1.5 | 1.5 | 226.31454 | 0.17 | 15.69 | 2.69 | 0.07 | 15.78 | 2.72 |
| 2 | 1.5 | 1.5 | 1 | 1.5 | 0.5 | 226.30304 | −1.11 | 12.47 | 0.90 | −0.44 | 12.44 | 0.91 |
| 2 | 1.5 | 2.5 | 1 | 0.5 | 1.5 | 226.65956 | −0.44 | 0.64 | 0.20 | −0.17 | 0.63 | 0.20 |
| 2 | 1.5 | 2.5 | 1 | 1.5 | 2.5 | 226.35987 | 0.14 | 26.39 | 4.33 | 0.05 | 26.54 | 4.37 |
| 2 | 1.5 | 2.5 | 1 | 1.5 | 1.5 | 226.34193 | −1.35 | 15.49 | 1.47 | −0.54 | 15.44 | 1.48 |
| 2 | 2.5 | 3.5 | 1 | 1.5 | 2.5 | 226.87478 | 0.25 | 0.70 | 0.04 | 0.10 | 0.70 | 0.04 |
| 2 | 2.5 | 2.5 | 1 | 0.5 | 1.5 | 227.19182 | 1.34 | 11.86 | 1.62 | 0.53 | 11.80 | 1.63 |
| 2 | 2.5 | 2.5 | 1 | 1.5 | 2.5 | 226.89213 | 0.65 | 1.53 | 0.41 | 0.26 | 1.52 | 0.42 |
| 2 | 2.5 | 2.5 | 1 | 1.5 | 1.5 | 226.87419 | 0.44 | 0.95 | 0.18 | 0.17 | 0.94 | 0.19 |
| 2 | 2.5 | 1.5 | 1 | 1.5 | 2.5 | 226.90536 | 0.48 | 1.22 | 0.22 | 0.19 | 1.22 | 0.22 |
| 2 | 2.5 | 1.5 | 1 | 1.5 | 1.5 | 226.88742 | 0.90 | 2.82 | 0.82 | 0.36 | 2.79 | 0.82 |
| 2 | 2.5 | 1.5 | 1 | 1.5 | 0.5 | 226.87590 | 0.72 | 3.03 | 0.49 | 0.29 | 3.02 | 0.49 |
| 3 | 2.5 | 1.5 | 2 | 1.5 | 0.5 | 340.03541 | −0.38 | 0.62 | 0.15 | −0.15 | 0.61 | 0.15 |
| 3 | 2.5 | 1.5 | 2 | 1.5 | 1.5 | 340.01963 | −0.55 | 0.65 | 0.14 | −0.16 | 0.65 | 0.14 |
| 3 | 2.5 | 1.5 | 2 | 1.5 | 2.5 | 339.99226 | −0.19 | 0.27 | 0.01 | −0.05 | 0.27 | 0.01 |
| 3 | 2.5 | 1.5 | 2 | 2.5 | 2.5 | 339.46000 | 1.47 | 8.21 | 0.95 | 0.42 | 8.18 | 0.96 |
| 3 | 2.5 | 1.5 | 2 | 2.5 | 1.5 | 339.44678 | 0.13 | 10.53 | 1.82 | 0.04 | 10.59 | 1.84 |
| 3 | 2.5 | 2.5 | 2 | 1.5 | 1.5 | 340.03541 | −0.35 | 0.23 | 0.07 | −0.10 | 0.23 | 0.07 |
| 3 | 2.5 | 2.5 | 2 | 1.5 | 2.5 | 340.00813 | −0.39 | 0.27 | 0.08 | −0.11 | 0.27 | 0.08 |
| 3 | 2.5 | 2.5 | 2 | 2.5 | 3.5 | 339.49321 | 1.53 | 8.97 | 1.04 | 0.44 | 8.93 | 1.05 |
| 3 | 2.5 | 2.5 | 2 | 2.5 | 2.5 | 339.47590 | 0.08 | 10.54 | 1.73 | 0.02 | 10.60 | 1.75 |
| 3 | 2.5 | 2.5 | 2 | 2.5 | 1.5 | 339.46264 | −1.38 | 8.50 | 0.78 | −0.39 | 8.48 | 0.79 |
| 3 | 2.5 | 3.5 | 2 | 1.5 | 2.5 | 340.03155 | −0.25 | 0.13 | 0.03 | −0.07 | 0.13 | 0.03 |
| 3 | 2.5 | 3.5 | 2 | 2.5 | 3.5 | 339.51664 | 0.07 | 12.65 | 2.05 | 0.02 | 12.72 | 2.07 |
| 3 | 2.5 | 3.5 | 2 | 2.5 | 2.5 | 339.49929 | −1.44 | 8.85 | 0.87 | −0.41 | 8.82 | 0.88 |
| 3 | 3.5 | 4.5 | 2 | 2.5 | 3.5 | 340.24777 | 0.18 | 0.17 | 0.01 | 0.05 | 0.17 | 0.01 |
| 3 | 3.5 | 3.5 | 2 | 2.5 | 3.5 | 340.26495 | 0.44 | 0.35 | 0.10 | 0.13 | 0.35 | 0.10 |
| 3 | 3.5 | 3.5 | 2 | 2.5 | 2.5 | 340.24777 | 0.25 | 0.24 | 0.03 | 0.07 | 0.24 | 0.03 |
| 3 | 3.5 | 2.5 | 2 | 2.5 | 3.5 | 340.27912 | 0.29 | 0.26 | 0.04 | 0.08 | 0.26 | 0.04 |
| 3 | 3.5 | 2.5 | 2 | 2.5 | 2.5 | 340.26177 | 0.57 | 0.57 | 0.18 | 0.16 | 0.57 | 0.18 |
| 3 | 3.5 | 2.5 | 2 | 2.5 | 1.5 | 340.24854 | 0.35 | 0.51 | 0.05 | 0.10 | 0.51 | 0.06 |
Notes. Estimates are given for deprojected distance rc = 50 AU and azimuthal angles ф′ = 0° and ф′ = 90°. For circular polarization estimates a dusty midplane layer is assumed (τdust = 0.7, 1.0, 2.0 for band 3, 6, and 7, respectively), while for the linear polarization and Zeeman broadening an optically thin midplane is assumed.
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