{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import os\n", "import matplotlib.pyplot as plt\n", "import matplotlib.ticker as ticker\n", "from astropy.table import Table, join\n", "from astropy import units as u\n", "from edge_pydb import EdgeTable\n", "\n", "params = {'mathtext.default': 'regular' } \n", "plt.rcParams.update(params)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting Global Properties\n", "## This notebook gives a few examples of plotting the CSV tables that are found in the `dat_glob` subdirectory of `edge_pydb`. These tables provided galaxy-wide properties from CALIFA or CARMA and are hence referred to as \"global\"." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot CO observation parameters, a la Bolatto et al. (2017) Figure 4." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
EdgeTable length=126\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
NamecoVsyscoDEobstimcoNptcoDEbmajcoDEbmincoRMS_10coTpk_10coSNRpeak_10ImagingDate_10coRMS_20coTpk_20coSNRpeak_20ImagingDate_20
km / sharcsecarcsecmKmKmKmK
str13float64float64int64float64float64float64int64float64str21float64int64float64str21
ARP2205340.94.074.483.8741.8347283.0302/14/16 05:15:10 CST33.03461104.7506/09/16 07:03:55 CDT
IC04804492.93.9874.883.9353.681015.1102/15/16 16:09:31 CST42.379218.7306/08/16 10:40:35 CDT
IC05402056.63.3376.223.6465.93755.6902/12/16 17:08:14 CST51.23366.5706/08/16 10:49:37 CDT
IC09446843.04.0975.394.1741.63177.6402/12/16 17:25:13 CST32.52788.5406/08/16 10:59:27 CDT
IC11512159.92.6575.323.7877.23824.9402/12/16 17:40:21 CST60.13015.0206/08/16 11:07:49 CDT
IC11994663.03.9774.924.347.33517.4302/12/16 17:55:31 CST37.12667.1506/08/16 11:16:31 CDT
IC16834774.94.3474.963.7948.078516.3502/12/16 18:13:26 CST37.479421.2406/08/16 11:27:22 CDT
IC22474261.74.0174.793.8543.343810.1202/12/16 18:31:08 CST34.041612.2506/08/16 11:37:39 CDT
IC24874292.13.9976.173.945.63116.8402/12/16 18:47:00 CST35.63038.5106/08/16 11:46:48 CDT
IC45665479.54.0176.013.8941.32566.1902/12/16 19:02:27 CST32.42457.5406/08/16 11:55:34 CDT
IC53764951.04.0874.614.0751.12324.5402/12/16 19:16:54 CST40.51844.5406/08/16 12:04:00 CDT
NGC04444762.13.1475.034.157.52654.6102/12/16 19:32:20 CST45.72024.4306/08/16 12:12:45 CDT
NGC04475489.65.09134.523.6745.455612.2402/12/16 19:55:04 CST35.149514.1106/08/16 12:26:03 CDT
NGC04775751.44.3375.113.9350.53256.4402/12/16 20:17:28 CST39.52736.906/08/16 12:38:12 CDT
NGC04965893.83.9974.93.7646.53627.7802/12/16 20:33:39 CST36.23399.3606/08/16 12:47:41 CDT
NGC05234683.04.374.633.7758.564010.9302/12/16 20:50:59 CST43.857213.0806/08/16 12:57:29 CDT
NGC05284745.53.9974.923.9849.12475.0202/12/16 21:07:33 CST38.81864.7906/08/16 13:06:41 CDT
NGC05515113.33.9474.83.7946.13297.1202/12/16 21:23:38 CST35.72827.8906/08/16 13:15:46 CDT
NGC11674851.24.2974.83.6452.82815.3202/12/16 21:39:20 CST41.22225.3806/08/16 13:24:48 CDT
NGC22533542.03.9975.654.1545.867114.6502/12/16 21:57:48 CST36.161917.1606/08/16 13:35:06 CDT
NGC23474388.84.674.854.7940.345711.3502/12/16 22:14:45 CST31.241913.4306/08/16 13:44:45 CDT
NGC24104602.27.35134.924.0654.53446.302/12/16 22:37:42 CST42.92996.9706/08/16 13:58:11 CDT
NGC24802320.84.6675.164.0356.83886.8302/12/16 23:02:51 CST44.13658.2806/08/16 14:11:02 CDT
NGC24864569.71.374.63.8988.64515.0902/12/16 23:19:01 CST69.63294.7206/08/16 14:19:23 CDT
NGC24874758.94.6274.923.9260.84817.9102/12/16 23:34:50 CST47.84579.5706/08/16 14:28:23 CDT
NGC26235437.66.23145.183.8430.6114837.5802/13/16 00:08:46 CST23.8110946.506/08/16 14:47:52 CDT
NGC26393150.04.0175.374.0352.364712.3702/13/16 00:31:37 CST41.646311.1306/08/16 15:00:21 CDT
NGC27303795.14.3175.554.0648.42715.6102/13/16 00:46:25 CST37.42115.6306/08/16 15:08:43 CDT
..........................................
UGC042803469.74.0174.774.5156.82905.1102/13/16 21:11:01 CST43.72495.6806/09/16 02:33:24 CDT
UGC044614906.53.9974.884.2253.13767.0902/13/16 21:27:23 CST41.43528.5206/09/16 02:42:51 CDT
UGC051087913.43.9875.474.3836.12516.9702/13/16 21:43:33 CST27.52298.3406/09/16 02:52:17 CDT
UGC051116595.54.6175.214.9537.640310.702/13/16 22:00:36 CST29.437312.706/09/16 03:01:45 CDT
UGC052442981.72.3375.14.6459.12824.7802/13/16 22:15:19 CST46.52254.8306/09/16 03:10:13 CDT
UGC053598249.53.9976.754.8727.81505.4202/13/16 22:29:51 CST21.61255.7606/09/16 03:18:33 CDT
UGC05498NED016174.43.9375.243.9261.92734.4102/13/16 22:44:36 CST47.82505.2306/09/16 03:26:43 CDT
UGC055985519.82.9875.834.0754.63786.9302/13/16 23:00:24 CST43.03077.1406/09/16 03:35:37 CDT
UGC063126201.52.9474.614.5750.82244.402/13/16 23:15:55 CST39.51894.7806/09/16 03:43:53 CDT
UGC070123031.54.074.733.9254.93716.7402/13/16 23:32:41 CST42.72495.8306/09/16 03:52:51 CDT
UGC081078076.93.8874.874.4736.33048.3702/25/16 17:47:43 CST28.22729.6706/09/16 04:02:41 CDT
UGC082505184.04.0174.873.9149.42324.702/14/16 00:08:08 CST39.01664.2706/09/16 04:11:46 CDT
UGC082677078.64.2774.73.9250.94719.2602/14/16 00:25:41 CST39.744511.206/09/16 04:21:29 CDT
UGC090677645.84.0375.614.3947.44028.4802/14/16 00:40:55 CST36.13359.2706/09/16 04:30:12 CDT
UGC094763236.14.075.163.8958.13135.3902/14/16 00:56:11 CST45.22435.3906/09/16 04:38:44 CDT
UGC095378576.54.3674.613.9643.82525.7602/14/16 01:10:59 CST33.52236.6606/09/16 04:47:31 CDT
UGC095425386.63.9875.063.6153.13135.8902/14/16 01:26:49 CST41.02897.0406/09/16 04:56:27 CDT
UGC096652535.64.0174.573.7364.06079.4802/14/16 01:43:30 CST50.856411.0806/09/16 05:05:17 CDT
UGC097593408.43.9775.043.6754.065512.1302/14/16 02:00:47 CST42.162014.7306/09/16 05:14:47 CDT
UGC098735528.43.9874.733.751.63266.3202/14/16 02:16:51 CST40.22786.9106/09/16 05:23:40 CDT
UGC098925569.73.6774.844.1544.82154.8102/14/16 02:32:45 CST34.51945.606/09/16 05:32:06 CDT
UGC099193151.34.6674.824.4953.43286.1402/14/16 02:48:59 CST41.91984.7306/09/16 05:41:15 CDT
UGC100432153.24.2974.673.969.36148.8502/14/16 03:05:49 CST54.161011.2606/09/16 05:50:59 CDT
UGC101233720.04.0174.383.8857.663210.9802/14/16 03:24:22 CST43.758913.4606/09/16 06:01:25 CDT
UGC102056432.92.9675.574.1444.52325.2202/14/16 03:39:42 CST34.42136.1706/09/16 06:09:41 CDT
UGC103314485.43.0176.54.0865.32654.0602/14/16 03:55:49 CST49.21943.9406/09/16 06:17:50 CDT
UGC103808510.74.0174.824.3846.52375.102/14/16 04:10:49 CST35.92266.2806/09/16 06:26:18 CDT
UGC103844869.04.0175.154.0443.665715.0602/14/16 04:27:55 CST33.861218.0906/09/16 06:36:15 CDT
UGC107108153.94.0175.043.9550.53677.2802/14/16 04:42:31 CST38.42366.1606/09/16 06:44:41 CDT
" ], "text/plain": [ "\n", " Name coVsys coDEobstim coNpt coDEbmaj coDEbmin ... ImagingDate_10 coRMS_20 coTpk_20 coSNRpeak_20 ImagingDate_20 \n", " km / s h arcsec arcsec ... mK mK \n", " str13 float64 float64 int64 float64 float64 ... str21 float64 int64 float64 str21 \n", "------------- ------- ---------- ----- -------- -------- ... --------------------- -------- -------- ------------ ---------------------\n", " ARP220 5340.9 4.0 7 4.48 3.87 ... 02/14/16 05:15:10 CST 33.0 3461 104.75 06/09/16 07:03:55 CDT\n", " IC0480 4492.9 3.98 7 4.88 3.93 ... 02/15/16 16:09:31 CST 42.3 792 18.73 06/08/16 10:40:35 CDT\n", " IC0540 2056.6 3.33 7 6.22 3.64 ... 02/12/16 17:08:14 CST 51.2 336 6.57 06/08/16 10:49:37 CDT\n", " IC0944 6843.0 4.09 7 5.39 4.17 ... 02/12/16 17:25:13 CST 32.5 278 8.54 06/08/16 10:59:27 CDT\n", " IC1151 2159.9 2.65 7 5.32 3.78 ... 02/12/16 17:40:21 CST 60.1 301 5.02 06/08/16 11:07:49 CDT\n", " IC1199 4663.0 3.97 7 4.92 4.3 ... 02/12/16 17:55:31 CST 37.1 266 7.15 06/08/16 11:16:31 CDT\n", " IC1683 4774.9 4.34 7 4.96 3.79 ... 02/12/16 18:13:26 CST 37.4 794 21.24 06/08/16 11:27:22 CDT\n", " IC2247 4261.7 4.01 7 4.79 3.85 ... 02/12/16 18:31:08 CST 34.0 416 12.25 06/08/16 11:37:39 CDT\n", " IC2487 4292.1 3.99 7 6.17 3.9 ... 02/12/16 18:47:00 CST 35.6 303 8.51 06/08/16 11:46:48 CDT\n", " IC4566 5479.5 4.01 7 6.01 3.89 ... 02/12/16 19:02:27 CST 32.4 245 7.54 06/08/16 11:55:34 CDT\n", " IC5376 4951.0 4.08 7 4.61 4.07 ... 02/12/16 19:16:54 CST 40.5 184 4.54 06/08/16 12:04:00 CDT\n", " NGC0444 4762.1 3.14 7 5.03 4.1 ... 02/12/16 19:32:20 CST 45.7 202 4.43 06/08/16 12:12:45 CDT\n", " NGC0447 5489.6 5.09 13 4.52 3.67 ... 02/12/16 19:55:04 CST 35.1 495 14.11 06/08/16 12:26:03 CDT\n", " NGC0477 5751.4 4.33 7 5.11 3.93 ... 02/12/16 20:17:28 CST 39.5 273 6.9 06/08/16 12:38:12 CDT\n", " NGC0496 5893.8 3.99 7 4.9 3.76 ... 02/12/16 20:33:39 CST 36.2 339 9.36 06/08/16 12:47:41 CDT\n", " NGC0523 4683.0 4.3 7 4.63 3.77 ... 02/12/16 20:50:59 CST 43.8 572 13.08 06/08/16 12:57:29 CDT\n", " NGC0528 4745.5 3.99 7 4.92 3.98 ... 02/12/16 21:07:33 CST 38.8 186 4.79 06/08/16 13:06:41 CDT\n", " NGC0551 5113.3 3.94 7 4.8 3.79 ... 02/12/16 21:23:38 CST 35.7 282 7.89 06/08/16 13:15:46 CDT\n", " NGC1167 4851.2 4.29 7 4.8 3.64 ... 02/12/16 21:39:20 CST 41.2 222 5.38 06/08/16 13:24:48 CDT\n", " NGC2253 3542.0 3.99 7 5.65 4.15 ... 02/12/16 21:57:48 CST 36.1 619 17.16 06/08/16 13:35:06 CDT\n", " NGC2347 4388.8 4.6 7 4.85 4.79 ... 02/12/16 22:14:45 CST 31.2 419 13.43 06/08/16 13:44:45 CDT\n", " NGC2410 4602.2 7.35 13 4.92 4.06 ... 02/12/16 22:37:42 CST 42.9 299 6.97 06/08/16 13:58:11 CDT\n", " NGC2480 2320.8 4.66 7 5.16 4.03 ... 02/12/16 23:02:51 CST 44.1 365 8.28 06/08/16 14:11:02 CDT\n", " NGC2486 4569.7 1.3 7 4.6 3.89 ... 02/12/16 23:19:01 CST 69.6 329 4.72 06/08/16 14:19:23 CDT\n", " NGC2487 4758.9 4.62 7 4.92 3.92 ... 02/12/16 23:34:50 CST 47.8 457 9.57 06/08/16 14:28:23 CDT\n", " NGC2623 5437.6 6.23 14 5.18 3.84 ... 02/13/16 00:08:46 CST 23.8 1109 46.5 06/08/16 14:47:52 CDT\n", " NGC2639 3150.0 4.01 7 5.37 4.03 ... 02/13/16 00:31:37 CST 41.6 463 11.13 06/08/16 15:00:21 CDT\n", " NGC2730 3795.1 4.31 7 5.55 4.06 ... 02/13/16 00:46:25 CST 37.4 211 5.63 06/08/16 15:08:43 CDT\n", " ... ... ... ... ... ... ... ... ... ... ... ...\n", " UGC04280 3469.7 4.01 7 4.77 4.51 ... 02/13/16 21:11:01 CST 43.7 249 5.68 06/09/16 02:33:24 CDT\n", " UGC04461 4906.5 3.99 7 4.88 4.22 ... 02/13/16 21:27:23 CST 41.4 352 8.52 06/09/16 02:42:51 CDT\n", " UGC05108 7913.4 3.98 7 5.47 4.38 ... 02/13/16 21:43:33 CST 27.5 229 8.34 06/09/16 02:52:17 CDT\n", " UGC05111 6595.5 4.61 7 5.21 4.95 ... 02/13/16 22:00:36 CST 29.4 373 12.7 06/09/16 03:01:45 CDT\n", " UGC05244 2981.7 2.33 7 5.1 4.64 ... 02/13/16 22:15:19 CST 46.5 225 4.83 06/09/16 03:10:13 CDT\n", " UGC05359 8249.5 3.99 7 6.75 4.87 ... 02/13/16 22:29:51 CST 21.6 125 5.76 06/09/16 03:18:33 CDT\n", "UGC05498NED01 6174.4 3.93 7 5.24 3.92 ... 02/13/16 22:44:36 CST 47.8 250 5.23 06/09/16 03:26:43 CDT\n", " UGC05598 5519.8 2.98 7 5.83 4.07 ... 02/13/16 23:00:24 CST 43.0 307 7.14 06/09/16 03:35:37 CDT\n", " UGC06312 6201.5 2.94 7 4.61 4.57 ... 02/13/16 23:15:55 CST 39.5 189 4.78 06/09/16 03:43:53 CDT\n", " UGC07012 3031.5 4.0 7 4.73 3.92 ... 02/13/16 23:32:41 CST 42.7 249 5.83 06/09/16 03:52:51 CDT\n", " UGC08107 8076.9 3.88 7 4.87 4.47 ... 02/25/16 17:47:43 CST 28.2 272 9.67 06/09/16 04:02:41 CDT\n", " UGC08250 5184.0 4.01 7 4.87 3.91 ... 02/14/16 00:08:08 CST 39.0 166 4.27 06/09/16 04:11:46 CDT\n", " UGC08267 7078.6 4.27 7 4.7 3.92 ... 02/14/16 00:25:41 CST 39.7 445 11.2 06/09/16 04:21:29 CDT\n", " UGC09067 7645.8 4.03 7 5.61 4.39 ... 02/14/16 00:40:55 CST 36.1 335 9.27 06/09/16 04:30:12 CDT\n", " UGC09476 3236.1 4.0 7 5.16 3.89 ... 02/14/16 00:56:11 CST 45.2 243 5.39 06/09/16 04:38:44 CDT\n", " UGC09537 8576.5 4.36 7 4.61 3.96 ... 02/14/16 01:10:59 CST 33.5 223 6.66 06/09/16 04:47:31 CDT\n", " UGC09542 5386.6 3.98 7 5.06 3.61 ... 02/14/16 01:26:49 CST 41.0 289 7.04 06/09/16 04:56:27 CDT\n", " UGC09665 2535.6 4.01 7 4.57 3.73 ... 02/14/16 01:43:30 CST 50.8 564 11.08 06/09/16 05:05:17 CDT\n", " UGC09759 3408.4 3.97 7 5.04 3.67 ... 02/14/16 02:00:47 CST 42.1 620 14.73 06/09/16 05:14:47 CDT\n", " UGC09873 5528.4 3.98 7 4.73 3.7 ... 02/14/16 02:16:51 CST 40.2 278 6.91 06/09/16 05:23:40 CDT\n", " UGC09892 5569.7 3.67 7 4.84 4.15 ... 02/14/16 02:32:45 CST 34.5 194 5.6 06/09/16 05:32:06 CDT\n", " UGC09919 3151.3 4.66 7 4.82 4.49 ... 02/14/16 02:48:59 CST 41.9 198 4.73 06/09/16 05:41:15 CDT\n", " UGC10043 2153.2 4.29 7 4.67 3.9 ... 02/14/16 03:05:49 CST 54.1 610 11.26 06/09/16 05:50:59 CDT\n", " UGC10123 3720.0 4.01 7 4.38 3.88 ... 02/14/16 03:24:22 CST 43.7 589 13.46 06/09/16 06:01:25 CDT\n", " UGC10205 6432.9 2.96 7 5.57 4.14 ... 02/14/16 03:39:42 CST 34.4 213 6.17 06/09/16 06:09:41 CDT\n", " UGC10331 4485.4 3.01 7 6.5 4.08 ... 02/14/16 03:55:49 CST 49.2 194 3.94 06/09/16 06:17:50 CDT\n", " UGC10380 8510.7 4.01 7 4.82 4.38 ... 02/14/16 04:10:49 CST 35.9 226 6.28 06/09/16 06:26:18 CDT\n", " UGC10384 4869.0 4.01 7 5.15 4.04 ... 02/14/16 04:27:55 CST 33.8 612 18.09 06/09/16 06:36:15 CDT\n", " UGC10710 8153.9 4.01 7 5.04 3.95 ... 02/14/16 04:42:31 CST 38.4 236 6.16 06/09/16 06:44:41 CDT" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coobs = EdgeTable('edge_coobs_DE.csv')\n", "coobs" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 7))\n", "\n", "ax1=plt.subplot(2,3,1)\n", "plt.hist(coobs['coDEobstim'], bins=np.arange(0, 20, 1), ec='black')\n", "plt.xlabel('Observing time [h]', labelpad=2, fontsize='large')\n", "plt.ylabel('Number of galaxies', labelpad=2, fontsize='large')\n", "ax1.text(0.95,0.88,'$\\mu$ = %3.1f h' % np.mean(coobs['coDEobstim']),\n", " ha='right',transform=ax1.transAxes)\n", "\n", "ax2=plt.subplot(2,3,2)\n", "beam=np.sqrt(coobs['coDEbmaj']*coobs['coDEbmin'])\n", "plt.hist(beam, bins=np.arange(3, 6.2, 0.2), ec='black')\n", "plt.xlabel('Beam size [arcsec]', labelpad=2, fontsize='large')\n", "tick_spacing = 1\n", "ax2.xaxis.set_major_locator(ticker.MultipleLocator(tick_spacing))\n", "ax2.text(0.95,0.88,'$\\mu$ = %3.1f\"' % np.mean(beam),\n", " ha='right', transform=ax2.transAxes)\n", "\n", "ax3=plt.subplot(2,3,3)\n", "plt.hist(coobs['coRMS_10'], bins=np.arange(20,100,5), ec='black')\n", "plt.xlabel('10 km/s Sensitivity [mK]', labelpad=2, fontsize='large')\n", "ax3.text(0.95,0.88,'$\\mu$ = %4.1f mK' % np.mean(coobs['coRMS_10']),\n", " ha='right', transform=ax3.transAxes)\n", "\n", "ax4=plt.subplot(2,3,4)\n", "plt.hist(coobs['coRMS_20'], bins=np.arange(20,100,5), ec='black')\n", "plt.xlabel('20 km/s Sensitivity [mK]', labelpad=2, fontsize='large')\n", "plt.ylabel('Number of galaxies', labelpad=2, fontsize='large')\n", "ax4.text(0.95,0.88,'$\\mu$ = %4.1f mK' % np.mean(coobs['coRMS_20']),\n", " ha='right', transform=ax4.transAxes)\n", "\n", "ax5=plt.subplot(2,3,5)\n", "plt.hist(coobs['coTpk_20'], bins=np.logspace(2,4,num=20), ec='black')\n", "plt.xlabel('20 km/s Peak Signal [mK]', labelpad=2, fontsize='large')\n", "ax5.set_xscale(\"log\")\n", "ax5.text(0.95,0.88,'$\\mu$ = %4.1f mK' % np.mean(coobs['coTpk_20']),\n", " ha='right', transform=ax5.transAxes)\n", "\n", "ax6=plt.subplot(2,3,6)\n", "plt.hist(coobs['coSNRpeak_20'], bins=np.logspace(0.5,2,num=20), ec='black')\n", "plt.xlabel('Peak SNR', labelpad=2, fontsize='large')\n", "ax6.set_xscale(\"log\")\n", "ax6.text(0.95,0.88,'$\\mu$ = %4.1f' % np.mean(coobs['coSNRpeak_20']),\n", " ha='right', transform=ax6.transAxes)\n", "\n", "plt.subplots_adjust(hspace=0.25)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Derive $S_{CO}$ to $M_{mol}$ conversion." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "At 1 Mpc, 1 Jy km/s of CO flux is 10533.1 solMass of H_2\n" ] } ], "source": [ "# Calculate molecular mass for 1 Jy km/s at 1 Mpc.\n", "# These serve as fiducial distance and flux which we will scale later.\n", "sco = 1 * u.Jy * u.km / u.s\n", "dmpc = (1 * u.Mpc).to(u.pc)\n", "alphaco = 4.3 * u.solMass * u.s / (u.K * u.km * u.pc**2) # Bolatto+13\n", "freq = 115.271204 * u.GHz\n", "kperjy = (1*u.Jy/u.sr).to(u.K, equivalencies=u.brightness_temperature(freq))\n", "molmass = alphaco * kperjy * (sco/u.Jy) * dmpc**2\n", "print('At 1 Mpc, 1 Jy km/s of CO flux is {:.1f} of H_2'.format(molmass))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot derived CO masses, a la Bolatto et al. (2017) Figure 5. Need to merge in two additional tables." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: MergeConflictWarning: In merged column 'Name' the 'description' attribute does not match (Galaxy Name != CALIFA Name). Using CALIFA Name for merged output [astropy.utils.metadata.merge]\n", "WARNING: MergeConflictWarning: Cannot merge meta key 'date' types and , choosing date='2023-12-25' [astropy.utils.metadata.merge]\n", "WARNING: MergeConflictWarning: Cannot merge meta key 'comments' types and , choosing comments='Galaxy properties determined from CALIFA' [astropy.utils.metadata.merge]\n", "WARNING: MergeConflictWarning: In merged column 'Name' the 'description' attribute does not match (CALIFA Name != Galaxy Name). Using Galaxy Name for merged output [astropy.utils.metadata.merge]\n", "WARNING: MergeConflictWarning: Cannot merge meta key 'comments' types and , choosing comments='Observational Parameters for CARMA D+E array cubes' [astropy.utils.metadata.merge]\n", "WARNING: MergeConflictWarning: Cannot merge meta key 'date' types and , choosing date='2023-06-20' [astropy.utils.metadata.merge]\n" ] } ], "source": [ "# Measured CO fluxes\n", "natv_co = EdgeTable('edge_coflux_natv.csv')\n", "# CALIFA params incl. distance\n", "califa = EdgeTable('edge_califa.csv')\n", "natv_co.join(califa)\n", "natv_co.join(coobs)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['Name', 'coRactr_natv', 'coDectr_natv', 'coCtrint_natv', 'coDvhel', 'coBmaj_natv', 'coBmin_natv', 'coBpa_natv', 'coNomask_natv', 'coeNomask_natv', 'coNomaskDv_natv', 'coDilated_natv', 'coeDilated_natv', 'coSmooth_natv', 'coeSmooth_natv', 'coSmoothDv_natv', 'coMask2d_natv', 'coeMask2d_natv', 'coSNRmax_natv', 'coSNR4pix_natv', 'coSNR5pix_natv', 'cottBmaj_natv', 'cottBmin_natv', 'cottBpa_natv', 'cottNomask_natv', 'cotteNomask_natv', 'cottNomaskDv_natv', 'cottDilated_natv', 'cotteDilated_natv', 'cottSmooth_natv', 'cotteSmooth_natv', 'cottSmoothDv_natv', 'cottMask2d_natv', 'cotteMask2d_natv', 'cottSNRmax_natv', 'cottSNR4pix_natv', 'cottSNR5pix_natv', 'ID', 'caSu', 'caSg', 'caSr', 'caSi', 'caB', 'caV', 'caR', 'caRe', 'caeRe', 'caEllipticity', 'caPA', 'caR50', 'caeR50', 'caR90', 'caeR90', 'cazgas', 'cazstars', 'caAge', 'caeAge', 'caFHa', 'caFHacorr', 'caLHacorr', 'caMstars', 'caeMstars', 'caSFR', 'caeSFR', 'caOH', 'caeOH', 'caAvgas', 'caeAvgas', 'caAvstars', 'caeAvstars', 'caDistP3d', 'caDistMpc', 'caFlgWav5', 'caFlgWav12', 'caFlgReg5', 'caFlgReg12', 'caFlgImg5', 'caFlgImg12', 'coVsys', 'coDEobstim', 'coNpt', 'coDEbmaj', 'coDEbmin', 'coRMS_10', 'coTpk_10', 'coSNRpeak_10', 'ImagingDate_10', 'coRMS_20', 'coTpk_20', 'coSNRpeak_20', 'ImagingDate_20']\n" ] } ], "source": [ "print(natv_co.colnames)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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XR/dt9lC9enW1atWq0FUmATiOI/uI2NhYJSUlqUOHDrleLzo6WosXL1ZGRoYqVqyY65w6deqoYsWK+UZ4JSUlWUZTZGdnS5K+/PLLfCNFzGazpPyjTB5++GHdd999ueZfzDnXmte80dmzZ/XNN99o3bp1hVwRAI7mjJ9vqlSpokaNGkmSOnbsqAMHDuiNN97Qe++9V2D7hg0bateuXbp8+bJSU1Pl7++vkSNHWhYPclXfVVQuR6JoBpRiN3YumZmZSkhIuGn7kg7xvfPOO3Xs2LFc+44fP67g4GCb2tzIMAxNnjxZ69ev186dO53S8QFwb87u2+whIyNDcXFxDi3MAfiTM/uI3r1751sZd9y4cbr99tv17LPP5iuYSX/+ktqhQwdt27Yt1yIa27Zt05AhQyRJzZs3l9lsVnx8fKG3M+UdZeLh4aG6detafgG29TVvtGzZMtWtW1cDBw4s8LUB2J87/HxjGIYyMjKKbFe9enVVr15dFy9e1JYtW7RgwQJJru+7CsvlSBTNgFJs2bJl6tOnj4KDg/XGG28oJSVFP//8s3777bcC/1expEN8p02bpm7duikyMlIjRozQd999p/fff1/vv/++1W0WL16s9evX69///rekPyfWXb16tb744gvLam6S5OXlJQ8Pj2JnBVB6ObtvS0tL08mTJy3bp0+f1qFDh+Tt7a2goCBJ+fuuZ555RoMHD1ZQUJCSkpI0b948paamKiwsrNg5AFjHmX2Ep6dnvnlWq1evLh8fn1z78/YR4eHhGjNmjDp27KiuXbvq/fffV3x8vJ544gnL8z7zzDOaNm2asrOz1b17d6Wmpmrv3r2qUaNGsfqSol4zR3Z2tpYtW6awsDBVqsSvg4CzOPvnm+eff16hoaEKDAzUpUuXtGbNGu3cuVObN2+2tMnbd23ZskWGYahp06Y6efKkpk+frqZNm2rcuHGSXNd3FZXLkVg9EyjFBg8erClTpqhVq1b6/fff9be//U3r1q3TN99845DX69Spk9avX69PPvlELVu21N/+9jctWrRIDz/8sNVtkpOT9fPPP1vaF7WaG4Dyx9l9W0xMjNq1a2eZiyM8PFzt2rXTiy++aGmTt+/65Zdf9NBDD6lp06YaPny4qlSpov379xc6qhaA/Ti7j7BG3j5i5MiRWrRokV566SW1bdtW0dHR+uqrr3L1EX/729/04osvKioqSs2aNVP//v31r3/9q9ij7q15TUn65ptvFB8fr/HjxxfvzQIoFmf3Xb/99pvGjBmjpk2bqnfv3vr222+1efPmXPOR5e27UlJSNGnSJN1+++165JFH1L17d23dulWVK1e2tHFF32VNLkcxGUUtpVTKpaamysvLSykpKapZs6ar4zjdwYMH1aFDB/mFLZLZL/9wSGtlJJ5U4oqpio2NVfv27Ut9lrKgfv36mjp1qqZOnerqKG7DGd/vUVFRWrdunX766Sd5eHioW7dumj9/vpo2bWppYxiG5s6dq/fff18XL15U586d9fbbb6tFixZWv05577usUZI+pST9SEn7MvqwmyuvfVtZ+Z4vK+8DBStO/2fvPq+89hHuqqx8z5eV91Ge2NofufrnL/ou92LL9zwjzQDABrt27dKkSZO0f/9+bdu2TdevX1e/fv10+fJlS5sFCxZo4cKFWrx4sQ4cOCA/Pz/17dtXly5dcmFyAAAAAIAtuIkdAGxw4xwA0v9NpBsbG6sePXrIMAwtWrRIs2bNsqwQs2LFCvn6+mr16tWaMGGCK2IDAAAAAGxE0Qwopc6cOePqCNCf99dLskzSefr0aSUmJqpfv36WNmazWT179tTevXsLLZplZGTkWskmNTXVgamRIy4uzinnwHr0bQBuhj6ifIqOjtarr76q2NhYnT9/XuvXr9fQoUMtx9PS0vTcc89pw4YNunDhgurXr68pU6bor3/9q+tCAzeg7yq9KJoBQDEZhqHw8HB1797dsoJWzuqfeVfA8fX11dmzZwt9rqioKM2dO9dxYZFLVtpFyWTS6NGjXR0FAAAU4fLly2rTpo3GjRun++67L9/xadOmaceOHVq5cqXq16+vrVu3auLEiQoICNCQIUNckBhAWUHRDACK6cknn9Thw4e1Z8+efMdMJlOubcMw8u270cyZMxUeHm7ZTk1NVWBgoP3CIpfsjDTJMOQz6GlV9rHtOqefilHK7pUOSgYAAPIKDQ1VaGhoocf37dunsLAwhYSESJL+8pe/6L333lNMTEyBRTNG+JdfttwxUKdOHQUFBTkwDUoDlxbNihpmK/35oX722We1a9cuZWdnq0WLFvr000/58AJwqcmTJ2vjxo2Kjo5WvXr1LPv9/Pwk/TnizN/f37I/KSkp3+izG5nNZpnNZscFRoEq+wTavAJm5oUEB6UBAADF0b17d23cuFHjx49XQECAdu7cqePHj+uNN94osD0j/Muf4txlUNWjmo79FEftoZxzadGsqGG2P//8s7p3765HH31Uc+fOlZeXl+Li4lS1alUXpAWAP0eMTZ48WevXr9fOnTvVoEGDXMcbNGggPz8/bdu2Te3atZMkXbt2Tbt27dL8+fNdERkAAKBMe/PNN/X444+rXr16qlSpkipUqKAPP/xQ3bt3L7A9I/zLH1vvMsi8kKALm15XcnIyRbNyzqVFs6KG2c6aNUsDBgzQggULLPtuu+22mz4nQ20dqyQTYNt78mx7PB9DbmGrSZMmafXq1friiy/k6elpmcPMy8tLHh4eMplMmjp1qiIjI9W4cWM1btxYkZGRqlatmkaNGuXi9AAAAGXPm2++qf3792vjxo0KDg5WdHS0Jk6cKH9/f/Xp0ydfe0b4l1/FucsA5ZvbzmmWnZ2tL7/8UjNmzFD//v31/fffq0GDBpo5c2a+WzhvxFBbx3CnSbPtmYUht7DVkiVLJMkyZ0aOZcuWaezYsZKkGTNmKD09XRMnTtTFixfVuXNnbd26VZ6enk5OCwAAULalp6fr+eef1/r16zVw4EBJUuvWrXXo0CG99tprBRbNAMBabls0S0pKUlpaml555RXNmzdP8+fP1+bNmzV8+HDt2LFDPXv2LPA8hto6Rkkmzc5hr8mz7ZFFYsgtiscwjCLbmEwmRUREKCIiwvGBAAAoBZh8G46SmZmpzMxMVahQIdf+ihUrKjs720WpAJQVbls0y+nghgwZomnTpkmS2rZtq7179+rdd98ttGjGUFvHKslwVntPns3QWgAAAPfG5Nuwh7S0NJ08edKyffr0aR06dEje3t4KCgpSz549NX36dHl4eCg4OFi7du3Sxx9/rIULF7owNYCywG2LZnXq1FGlSpXUvHnzXPubNWumPXv2uCgVAAAAAGsx+TbsISYmRr169bJs59xZFBYWpuXLl2vNmjWaOXOmHn74Yf3+++8KDg7Wyy+/rCeeeMJVkQGUEW5bNKtSpYo6deqkY8eO5dp//PhxBQcHuygVAAAAAFtxhwBKIiQk5KZTZPj5+WnZsmVOTASgvHBp0ayoYbbTp0/XyJEj1aNHD/Xq1UubN2/Wv/71L+3cudN1oQEAAAAAAFDmubRoVtQw22HDhundd99VVFSUpkyZoqZNm+rzzz9X9+7dXRUZAAAAAAAA5YBLi2ZFDbOVpPHjx2v8+PFOSgQAAAAAAABIFYpuAgAAAAAAAJQvFM0AAAAAAACAPCiaAQAAAAAAAHm4dE4zAAAAAAAAdxQXF2d12zp16igoKMiBaeAKFM0AAAAAAAD+v6y0i5LJpNGjR1t9TlWPajr2UxyFszKGohkAAAAAAMD/l52RJhmGfAY9rco+gUW2z7yQoAubXldycjJFszKGohkAAAAAAEAelX0CZfZr5OoYcCEWAgAAAAAAAADyYKSZG4uPj1dycnKJnsOWiQsBAAAAAADwJ4pmbio+Pl5Nb2+mq+lXXB0FAAAAAACg3KFo5qaSk5N1Nf2K1RMPFib9VIxSdq+0YzIAAAAAAICyj6KZmyvpxIOZFxLsmAYAAAAAAKB8YCEAAAAAAAAAIA+KZgAAAAAAAEAeFM0AAAAAAACAPCiaAQAAAADcVnR0tAYPHqyAgACZTCZt2LAhX5u4uDjde++98vLykqenp7p06aL4+HjnhwVQplA0AwAAAAC4rcuXL6tNmzZavHhxgcd//vlnde/eXbfffrt27typH374QbNnz1bVqlWdnBRAWcPqmQAAAAAAtxUaGqrQ0NBCj8+aNUsDBgzQggULLPtuu+02Z0QDUMYx0gwAAAAAUCplZ2fryy+/VJMmTdS/f3/VrVtXnTt3LvAWzhwZGRlKTU3N9QCAgtitaHb16lV7PRUAAAAAAEVKSkpSWlqaXnnlFd1zzz3aunWrhg0bpuHDh2vXrl0FnhMVFSUvLy/LIzAw0MmpAZQWNhfN1q5dq3feeceyffLkSTVv3lzVq1fXXXfdpYsXL9o1IAAAAAAABcnOzpYkDRkyRNOmTVPbtm313HPPadCgQXr33XcLPGfmzJlKSUmxPBISEpwZGUApYnPR7LXXXtPly5ct29OnT9fFixf11FNP6aefflJkZKTVz2XNKig5JkyYIJPJpEWLFtkaGQAAAABQBtWpU0eVKlVS8+bNc+1v1qxZoatnms1m1axZM9cDAApic9Hs1KlTatmypaQ/b8ncsmWL5s+fr4ULF2revHk3LXzlVdQqKDk2bNigb7/9VgEBAbbGBQAAAACUUVWqVFGnTp107NixXPuPHz+u4OBgF6UCUFbYvHrmlStXVL16dUnSt99+q4yMDMtKJs2bN9e5c+esfq6iVkGRpHPnzunJJ5/Uli1bNHDgQFvjAgAAAABKsbS0NJ08edKyffr0aR06dEje3t4KCgrS9OnTNXLkSPXo0UO9evXS5s2b9a9//Us7d+50XWgAZYLNI838/f116NAhSdLmzZvVtGlT3XLLLZKkixcvqlq1anYLl52drTFjxmj69Olq0aKFVeewEgoAAEB+UVFR6tSpkzw9PVW3bl0NHTo038gMwzAUERGhgIAAeXh4KCQkREePHnVRYgD4U0xMjNq1a6d27dpJksLDw9WuXTu9+OKLkqRhw4bp3Xff1YIFC9SqVSt9+OGH+vzzz9W9e3dXxgZQBthcNBs+fLhmzZql++67T2+88YZGjhxpOXb48GE1bNjQbuHmz5+vSpUqacqUKVafw0ooAAAA+e3atUuTJk3S/v37tW3bNl2/fl39+vXLNVftggULtHDhQi1evFgHDhyQn5+f+vbtq0uXLrkwOYDyLiQkRIZh5HssX77c0mb8+PE6ceKE0tPTdejQIQ0ZMsR1gQGUGTbfnvm3v/1NaWlp2rt3r0aNGqUZM2ZYjm3atEl9+vSxS7DY2Fi98cYbOnjwoEwmk9XnzZw5U+Hh4Zbt1NRUCmcAAKDc27x5c67tZcuWqW7duoqNjVWPHj1kGIYWLVqkWbNmafjw4ZKkFStWyNfXV6tXr9aECRNcERsAAMBlbC6aeXh4FLp07/79+0scKMfu3buVlJSkoKAgy76srCw9/fTTWrRokc6cOVPgeWazWWaz2W45AAAAyqKUlBRJkre3t6Q/5whKTExUv379LG3MZrN69uypvXv3Flg0y8jIUEZGhmWbaTFKn/j4eCUnJ1vVNi4uzsFpAABwLzYXzW507NgxJScnq23btpbFAexlzJgx+Uat9e/fX2PGjNG4cePs+loAAADliWEYCg8PV/fu3S2roicmJkqSfH19c7X19fXV2bNnC3yeqKgozZ0717Fh4TDx8fFqenszXU2/4uooAAC4pWIVzT7++GM9//zzOn/+vCTpwIEDat++vUaMGKG+ffvq8ccft+p5iloFxcfHJ1f7ypUry8/PT02bNi1ObAAAAEh68skndfjwYe3ZsyffsbzTYhiGUehUGUyLUbolJyfravoV+Qx6WpV9iv66pZ+KUcrulU5IBgCAe7C5aPbPf/5TY8eO1aBBgxQaGqpJkyZZjrVv316ffvqp1UWzmJgY9erVy7Kd80NXWFhYrkkdAQAAYB+TJ0/Wxo0bFR0drXr16ln2+/n5SfpzxJm/v79lf1JSUr7RZzmYFqNsqOwTKLNfoyLbZV5IcEIaAADch81Fs6ioKI0bN05Lly5VVlZWrqJZs2bN9NZbb1n9XDmroFirsHnMAAAAcHOGYWjy5Mlav369du7cqQYNGuQ63qBBA/n5+Wnbtm1q166dJOnatWvatWuX5s+f74rIAAAALmVz0SwuLq7QH5y8vb114cKFEocCAACAfU2aNEmrV6/WF198IU9PT8scZl5eXvLw8JDJZNLUqVMVGRmpxo0bq3HjxoqMjFS1atU0atQoF6cHAABwPpuLZtWqVbOstpTXuXPnVLt27RKHAgAAgH0tWbJE0p8j/W+0bNkyjR07VpI0Y8YMpaena+LEibp48aI6d+6srVu3ytPT08lpAQAAXM/motmdd96pxYsX67777st3bPny5fl+EAMAAIDrWTMlhslkUkREhCIiIhwfCAAAwM3ZXDR78cUX1b17d91xxx0aNWqUTCaT1q1bpzlz5ig6OlrfffedI3ICAAAAAAAATlPB1hM6duyor7/+WmlpaXr66adlGIYiIyN1/PhxffXVV2rZsqUjcgIAAAAAAABOY/NIM0nq1auX4uLi9PPPP+u3335TnTp11KRJE3tnAwAAAAAAAFyiWEWzHA0bNlTDhg3tlQUAAAAAAABwC1YVzaKjo9W+fXvVqFFD0dHRRbbv0aNHiYMBAAAAAAAArmJV0SwkJET79+/XHXfcoZCQEJlMpgLbGYYhk8mkrKwsu4YEAAAAAAAAnMmqotmOHTvUvHlzy98BAAAAAACAssyqolnPnj0L/DsAAAAAAABQFlWw9YTffvvtpsdjYmKKHQYAAAAAAABwBzYXzdq2bavt27cXeOyNN95Q9+7dSxwKAAAAAADpz4XpBg8erICAAJlMJm3YsKHQthMmTJDJZNKiRYuclg9A2WVz0ax58+bq37+/IiIiZBiGJCklJUXDhw/XtGnT9Pjjj9s9JAAAAACgfLp8+bLatGmjxYsX37Tdhg0b9O233yogIMBJyQCUdVbNaXajb775RhEREZo3b552796tadOmafLkyfrjjz/02Wefafjw4Y7ICQAAAAAoh0JDQxUaGnrTNufOndOTTz6pLVu2aODAgU5KBqCss7loZjKZNHfuXPXs2VODBg3Szp071aJFC+3YsUP169d3QEQAAAAAAAqWnZ2tMWPGaPr06WrRokWR7TMyMpSRkWHZTk1NdWQ8lCNxcXFWt61Tp46CgoIcmAb2YHPRTPqzU3n77bd19epV+fr66vTp04qOjqZoBgAAAABwqvnz56tSpUqaMmWKVe2joqI0d+5cB6dCeZKVdlEymTR69Girz6nqUU3HfoqjcObmbC6aff/99xoxYoT+97//6dNPP9WAAQM0YcIEjRs3Trt27dLbb7+tqlWrOiIrAAAAAAAWsbGxeuONN3Tw4EGZTCarzpk5c6bCw8Mt26mpqQoMDHRURJQD2RlpkmHIZ9DTquxT9Gcp80KCLmx6XcnJyRTN3JzNCwF069ZNnp6eio2N1f33369q1arpH//4h9577z2tWbNGd9xxhyNyAoDbKGoFp7Fjx8pkMuV6dOnSxTVhAQAAyrDdu3crKSlJQUFBqlSpkipVqqSzZ8/q6aefLvROKLPZrJo1a+Z6APZQ2SdQZr9GRT6sKazBPdhcNBs7dqz27dunhg0b5tr/2GOPaf/+/bp+/brdwgGAO7JmBad77rlH58+ftzy++uorJyYEAAAoH8aMGaPDhw/r0KFDlkdAQICmT5+uLVu2uDoegFLO5tszlyxZUuixVq1aKSYmpkSBAMDdWbOCk9lslp+fn9XPWV4npI2Pj1dycnKxzrVlolUAAFB6paWl6eTJk5bt06dP69ChQ/L29lZQUJB8fHxyta9cubL8/PzUtGlTZ0cFUMYUayGAm6lWrZq9nxIASp2dO3eqbt26qlWrlnr27KmXX35ZdevWLbR9eZyQNj4+Xk1vb6ar6VdcHQUAALixmJgY9erVy7KdMx9ZWFiYli9f7qJUAMqDYhXNTpw4offee09xcXFKT0/PdcxkMunf//63Vc8THR2tV199VbGxsTp//rzWr1+voUOHSpIyMzP1wgsv6KuvvtKpU6fk5eWlPn366JVXXlFAQEBxYgOAU4SGhuqBBx5QcHCwTp8+rdmzZ+vuu+9WbGyszGZzgeeUxwlpk5OTdTX9itUTpuaVfipGKbtXOiAZAABwJyEhITIMw+r2Z86ccVwYAOWKzUWzH3/8UV26dNGtt96qkydPqnXr1kpOTta5c+cUGBiYb66zm8mZF2jcuHG67777ch27cuWKDh48qNmzZ6tNmza6ePGipk6dqnvvvZdbQAG4tZEjR1r+3rJlS3Xs2FHBwcH68ssvNXz48ALPMZvNhRbUyrqcCVNtlXkhwQFpAAAAAOBPNhfNnn/+efXv319r165VlSpVtHTpUrVv315ffvmlxo8fr3nz5ln9XDebF8jLy0vbtm3Lte+tt97SHXfcofj4eJZlBVBq+Pv7Kzg4WCdOnHB1FAAAAACAlWxePfPgwYMKCwtThQp/npqdnS1JGjhwoJ555hnNnDnTvglvkJKSIpPJpFq1ahXaJiMjQ6mpqbkeAOBKFy5cUEJCgvz9/V0dBQAAAABgJZuLZhcvXpS3t7cqVKigypUr6+LFi5ZjHTt21MGDB+0aMMfVq1f13HPPadSoUapZs2ah7aKiouTl5WV5lPU5gQA4X1pammVJc+n/VnCKj49XWlqannnmGe3bt09nzpzRzp07NXjwYNWpU0fDhg1zbXAAAAAAgNVsLprdeuutSk5OliQ1atRI0dHRlmOHDx9WjRo17Jfu/8vMzNSDDz6o7OxsvfPOOzdtO3PmTKWkpFgeCQnMeQPAvmJiYtSuXTu1a9dO0p8rOLVr104vvviiKlasqCNHjmjIkCFq0qSJwsLC1KRJE+3bt0+enp4uTg4AAAAAsJbNc5p1795de/fu1dChQ/Xwww9rzpw5On/+vKpUqaLly5dr9OjRdg2YmZmpESNG6PTp09q+fftNR5lJ5XsybQDOUdQKTlu2bHFiGgAAAACAI9hcNJs1a5Z+/fVXSdKzzz6rxMRErVq1SiaTSSNGjNBrr71mt3A5BbMTJ05ox44d8vHxsdtzAwAAAAAAAIWxuWjWsGFDNWzYUJJUsWJFvfnmm3rzzTeL9eJpaWk6efKkZTtnXiBvb28FBATo/vvv18GDB7Vp0yZlZWUpMTFRkuTt7a0qVaoU6zUBAAAAAACAothcNLOnmJgY9erVy7IdHh4uSQoLC1NERIQ2btwoSWrbtm2u83bs2KGQkBBnxQQAAAAAAEA5Y1XR7OOPP7bpSR955BGr2hU1L9DNjgEAAAAAAACOYlXRbOzYsVY/oclksrpoBgAAAAAAALgjq4pmp0+fdnQOAAAAAAAAwG1YVTQLDg52dA4AAAAAAADAbVRwdQAAAAAAAADA3RRr9cwTJ07ovffeU1xcnNLT03MdM5lM+ve//22XcAAAAAAAAIAr2Fw0+/HHH9WlSxfdeuutOnnypFq3bq3k5GSdO3dOgYGBatiwoSNyAgAAAAAAAE5j8+2Zzz//vPr376+jR4/KMAwtXbpUCQkJ+te//qWrV69q3rx5jsgJAAAAAAAAOI3NRbODBw8qLCxMFSr8eWp2drYkaeDAgXrmmWc0c+ZM+yYEAAAAAAAAnMzm2zMvXrwob29vVahQQZUrV9bFixctxzp27KiXXnrJrgEBR4uLiyvxc2RkZMhsNpfoOerUqaOgoKASZwEAAAAAACVnc9Hs1ltvVXJysiSpUaNGio6OVt++fSVJhw8fVo0aNeybEHCQrLSLksmk0aNHl/zJTBUkI7tET1HVo5qO/RRH4QwAAAC4QXR0tF599VXFxsbq/PnzWr9+vYYOHSpJyszM1AsvvKCvvvpKp06dkpeXl/r06aNXXnl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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig=plt.figure(figsize=(15, 4))\n", "\n", "# Histogram of distance\n", "ax1=plt.subplot(1,4,1)\n", "plt.hist(natv_co['caDistMpc'],bins=np.arange(10, 150, 10), ec='black')\n", "plt.xlabel('Distance [Mpc]', labelpad=3, fontsize='large')\n", "plt.ylabel('Number of galaxies', labelpad=3, fontsize='large')\n", "tick_spacing = 2\n", "ax1.yaxis.set_major_locator(ticker.MultipleLocator(tick_spacing))\n", "ax1.text(0.95,0.88,'$\\mu$ = %3.1f' % np.mean(natv_co['caDistMpc']),\n", " ha='right', transform=ax1.transAxes)\n", "\n", "# Histogram of beam physical size\n", "ax2=plt.subplot(1,4,2)\n", "beam = (np.sqrt(natv_co['coBmaj_natv']*natv_co['coBmin_natv'])).to(u.rad)\n", "bmkpc = beam.value*natv_co['caDistMpc']*1000.\n", "plt.hist(bmkpc,bins=np.arange(0, 4, 0.25), ec='black')\n", "plt.xlabel('beam [kpc]', labelpad=3, fontsize='large')\n", "ax2.text(0.95,0.88,'$\\mu$ = %3.1f' % np.mean(bmkpc),\n", " ha='right', transform=ax2.transAxes)\n", "\n", "# Histogram of beam mass sensitivity\n", "ax3=plt.subplot(1,4,3)\n", "# Convert mK to Jy/bm\n", "omega_B = np.pi/(4*np.log(2)) * beam**2\n", "conv = (u.Jy/omega_B).to(u.mK, equivalencies=u.brightness_temperature(freq))\n", "mkperjy = conv.value\n", "# Multiply 10 km/s noise by sqrt(3) to get sensitivity to a 30 km/s line\n", "# Multiply by 4 to get 4-sigma sensitivity\n", "msens = 4*molmass*(natv_co['caDistMpc']**2)*(natv_co['coRMS_10']/mkperjy)*10.*np.sqrt(3)\n", "plt.hist(msens.value,bins=np.logspace(6, 9, num=20), ec='black')\n", "plt.xlabel('$M_{sen,beam}$ [$M_\\odot$]', labelpad=3, fontsize='large')\n", "ax3.set_xscale(\"log\")\n", "ax3.text(0.95,0.88,'$\\mu$ = %4.1e' % np.mean(msens.value),\n", " ha='right', transform=ax3.transAxes)\n", "\n", "# Histogram of molecular gas mass\n", "ax4=plt.subplot(1,4,4)\n", "mgas = molmass*natv_co['caDistMpc']**2*natv_co['coSmooth_natv']\n", "mgas = mgas[~np.isnan(mgas)]\n", "plt.hist(mgas.value,bins=np.logspace(7.5, 11.5, num=20), ec='black')\n", "plt.xlabel('$M_{mol}$ [$M_\\odot$]', labelpad=3, fontsize='large')\n", "ax4.set_xscale(\"log\")\n", "ax4.yaxis.set_major_locator(ticker.MultipleLocator(tick_spacing))\n", "ax4.text(0.95,0.88,'$\\mu$ = %4.1e' % np.mean(mgas.value),\n", " ha='right', transform=ax4.transAxes)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## CO fluxes from 7\" resolution cubes" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Stellar mass units: dex(solMass)\n", "SFR units: dex(solMass / yr)\n" ] } ], "source": [ "db = EdgeTable('edge_coflux_smo7.csv')\n", "db.join(califa)\n", "print('Stellar mass units:', db['caMstars'].unit)\n", "print('SFR units:', db['caSFR'].unit)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of CO detections: 105\n", "Number of CO non-detections: 21\n" ] } ], "source": [ "# Define the subsets\n", "valid_ssfr = (~np.isnan(db['caMstars'])) & (~np.isnan(db['caSFR']))\n", "valid_mgas = (~np.isnan(db['caMstars'])) & (~np.isnan(db['caSFR']))\n", "co_det = valid_ssfr & (~np.isnan(db['coDilated_smo7']))\n", "print('Number of CO detections:',np.count_nonzero(co_det))\n", "co_ndet = valid_ssfr & (np.isnan(db['coDilated_smo7']))\n", "print('Number of CO non-detections:',np.count_nonzero(co_ndet))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Median unmasked velocity width is 860.0\n", "Median masked velocity width is 400.0\n", "Noise estimates will be scaled down by 0.6819943394704735\n" ] } ], "source": [ "# Scale noise estimate from unmasked moment map to a more realistic velocity window\n", "print('Median unmasked velocity width is',np.nanmedian(db['coNomaskDv_smo7']))\n", "print('Median masked velocity width is',np.nanmedian(db['coDilatedDv_smo7']))\n", "nsefactor = np.sqrt(np.nanmedian(db['coDilatedDv_smo7'])/np.nanmedian(db['coNomaskDv_smo7']))\n", "print('Noise estimates will be scaled down by',nsefactor)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# Calculate gas mass, gas fraction, and offset from SFMS\n", "# Main sequence from Cano-Diaz et al. (2016ApJ...821L..26C)\n", "delsfr = db['caSFR'] - (0.81*db['caMstars']-8.34)\n", "mgas = np.log10(molmass.value * db['coDilated_smo7'] * db['caDistMpc']**2)\n", "mgas[co_ndet] = np.log10(molmass.value *\n", " 2*nsefactor*db['coeNomask_smo7'][co_ndet]\n", " * db['caDistMpc'][co_ndet]**2)\n", "fgas = mgas - db['caMstars']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Scatterplots related to star-forming main sequence" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-7.0, 2.5)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(califa['caMstars'],califa['caSFR'], c='dimgrey', alpha=0.3)\n", "plt.scatter(db['caMstars'][valid_ssfr],db['caSFR'][valid_ssfr], c='tab:blue')\n", "x_ms = np.linspace(9,12,num=50)\n", "# Main sequence from Cano-Diaz et al. (2016ApJ...821L..26C)\n", "y_ms = 0.81*x_ms-8.34\n", "plt.plot(x_ms,y_ms,'r--')\n", "plt.xlabel('log($M_*$ [$M_\\odot$])', fontsize=14)\n", "plt.ylabel('log(SFR [$M_\\odot$ yr$^{-1}$])', fontsize=14)\n", "plt.xlim(8,12.5)\n", "plt.ylim(-7,2.5)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/dr/623sc0b554s_rzxllbc_9tqc0000gn/T/ipykernel_8519/1255045184.py:1: RuntimeWarning: invalid value encountered in log10\n", " tgaslg = mgas.value - np.log10(db['caSFR'].value)\n" ] }, { "data": { "text/plain": [ "Text(0, 0.5, 'log($t_{dep}$ [yr])')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tgaslg = mgas.value - np.log10(db['caSFR'].value)\n", "plt.scatter(db['caMstars'][co_det], tgaslg[co_det])\n", "plt.scatter(db['caMstars'][co_ndet],tgaslg[co_ndet],color='red')\n", "uplims = np.ones(db['caMstars'][co_ndet].shape)\n", "plt.errorbar(db['caMstars'][co_ndet],tgaslg[co_ndet], uplims=uplims, \n", " yerr=0.2, ls='none', color='red')\n", "plt.xlabel('log($M_*$ [$M_\\odot$])', fontsize=14)\n", "plt.ylabel('log($t_{dep}$ [yr])', fontsize=14)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'log($M(H_2)$ [$M_\\\\odot$])')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(mgas[co_det], delsfr[co_det])\n", "plt.scatter(mgas[co_ndet],delsfr[co_ndet], facecolors='none', \n", " edgecolors='r', zorder=-1)\n", "uplims = np.ones(mgas[co_ndet].shape)\n", "plt.errorbar(mgas[co_ndet],delsfr[co_ndet], xuplims=uplims, \n", " xerr=0.1, ls='none', color='red', zorder=-2)\n", "plt.ylabel(r'log(SFR) - log(SFR$_{\\rm MS}$) (dex)', fontsize=14)\n", "plt.xlabel('log($M(H_2)$ [$M_\\odot$])', fontsize=14)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'log($M(H_2)/M_*$)')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(fgas[co_det], delsfr[co_det])\n", "plt.scatter(fgas[co_ndet],delsfr[co_ndet], facecolors='none', \n", " edgecolors='r', zorder=-1)\n", "uplims = np.ones(fgas[co_ndet].shape)\n", "plt.errorbar(fgas[co_ndet],delsfr[co_ndet], xuplims=uplims, \n", " xerr=0.1, ls='none', color='red', zorder=-2)\n", "plt.ylabel(r'log(SFR) - log(SFR$_{\\rm MS}$) (dex)', fontsize=14)\n", "plt.xlabel('log($M(H_2)/M_*$)', fontsize=14)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Database paper plot, EDGE only" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1,ax2) = plt.subplots(1,2, figsize=(7,4))\n", "\n", "# Plot the data\n", "ax1.scatter(db['caMstars'][co_det],db['caSFR'][co_det],\n", " c='tab:blue', alpha=0.5, label='CO det')\n", "ax1.scatter(db['caMstars'][co_ndet],db['caSFR'][co_ndet], marker='s',\n", " c='tab:red', alpha=0.5, s=20, label='CO ndet')\n", "\n", "# Main sequence from Cano-Diaz et al. (2016ApJ...821L..26C)\n", "x_ms = np.linspace(9,12,num=50)\n", "y_ms = 0.81*x_ms-8.34\n", "ax1.plot(x_ms,y_ms,'m--', zorder=-2)\n", "ax1.legend(loc='lower right', handletextpad=0.01, fontsize=9)\n", "\n", "# Axis labels\n", "ax1.set_xlabel('log($M_*$ [$M_\\odot$])', fontsize=14)\n", "ax1.set_ylabel('log(SFR [$M_\\odot$ yr$^{-1}$])', fontsize=14)\n", "ax1.set_aspect('equal')\n", "ax1.set_xlim(8.75,12.25)\n", "ax1.set_ylim(-3,2)\n", "\n", "# Annotations\n", "ax1.text(0.04,0.94, '(a)', size=12, ha='left',\n", " va='center', transform=ax1.transAxes)\n", "ax1.text(0.92,0.92, 'MS', size=12, ha='center', color='m',\n", " va='center', transform=ax1.transAxes)\n", "\n", "# Plot the data\n", "ax2.scatter(fgas[co_det],delsfr[co_det],c='tab:blue', alpha=0.5)\n", "\n", "# Plot the upper limits\n", "uplims = np.ones(fgas[co_ndet].shape)\n", "ax2.errorbar(fgas[co_ndet], delsfr[co_ndet], xuplims=uplims, \n", " xerr=0.2, ls='none', color='tab:red', zorder=-2, alpha=0.7)\n", "\n", "# Axis labels\n", "ax2.set_ylabel(r'log(SFR) - log(SFR$_{\\rm MS}$)', fontsize=14)\n", "ax2.set_xlabel('log($M(H_2)/M_*$)', fontsize=14)\n", "ax2.set_aspect('equal')\n", "ax2.set_xlim(-3,0)\n", "ax2.set_ylim(-3,2)\n", "ax2.text(0.05,0.94, '(b)', size=12, ha='left', va='center', transform=ax2.transAxes)\n", "\n", "plt.subplots_adjust(wspace=0.1)\n", "plt.savefig('sfms.pdf', bbox_inches='tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Database paper plot, EDGE+DR3" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1,ax2) = plt.subplots(1,2, figsize=(7.25,4))\n", "\n", "# Plot the data\n", "ax1.scatter(califa['caMstars'],califa['caSFR'], c='dimgrey', s=6, alpha=0.2)\n", "ax1.scatter(db['caMstars'][co_det],db['caSFR'][co_det],\n", " c='tab:blue', alpha=0.5, label='CO det')\n", "ax1.scatter(db['caMstars'][co_ndet],db['caSFR'][co_ndet], marker='s',\n", " c='tab:red', alpha=0.5, s=20, label='CO ndet')\n", "\n", "# Main sequence from Cano-Diaz et al. (2016ApJ...821L..26C)\n", "x_ms = np.linspace(9,12,num=50)\n", "y_ms = 0.81*x_ms-8.34\n", "ax1.plot(x_ms,y_ms,'m--', zorder=-2)\n", "ax1.legend(loc='lower right', handletextpad=0.01, fontsize=9)\n", "\n", "# Axis labels\n", "ax1.set_xlabel('log($M_*$ [$M_\\odot$])', fontsize=14)\n", "ax1.set_ylabel('log(SFR [$M_\\odot$ yr$^{-1}$])', fontsize=14)\n", "ax1.set_aspect('equal')\n", "ax1.set_xlim(8.25,12.25)\n", "ax1.set_ylim(-3,2)\n", "\n", "# Annotations\n", "ax1.text(0.04,0.94, '(a)', size=12, ha='left',\n", " va='center', transform=ax1.transAxes)\n", "ax1.text(0.92,0.92, 'MS', size=12, ha='center', color='m',\n", " va='center', transform=ax1.transAxes)\n", "\n", "# Plot the data\n", "ax2.scatter(fgas[co_det],delsfr[co_det],c='tab:blue', alpha=0.5)\n", "\n", "# Plot the upper limits\n", "uplims = np.ones(fgas[co_ndet].shape)\n", "ax2.errorbar(fgas[co_ndet], delsfr[co_ndet], xuplims=uplims, \n", " xerr=0.2, ls='none', color='tab:red', zorder=-2, alpha=0.7)\n", "\n", "# Axis labels\n", "ax2.set_ylabel(r'log(SFR) - log(SFR$_{\\rm MS}$)', fontsize=14)\n", "ax2.set_xlabel('log($M(H_2)/M_*$)', fontsize=14)\n", "ax2.set_aspect('equal')\n", "ax2.set_xlim(-3,0)\n", "ax2.set_ylim(-3,2)\n", "ax2.text(0.05,0.94, '(b)', size=12, ha='left', va='center', transform=ax2.transAxes)\n", "\n", "plt.subplots_adjust(wspace=0.1)\n", "plt.savefig('sfms_dr3.pdf', bbox_inches='tight')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.14" } }, "nbformat": 4, "nbformat_minor": 4 }