{"id":6359,"date":"2017-01-24T13:43:55","date_gmt":"2017-01-24T23:43:55","guid":{"rendered":"http:\/\/www.eaobservatory.org\/jcmt\/?page_id=6359"},"modified":"2018-01-25T07:36:25","modified_gmt":"2018-01-25T17:36:25","slug":"contamination","status":"publish","type":"page","link":"https:\/\/www.eaobservatory.org\/jcmt\/instrumentation\/continuum\/scuba-2\/contamination\/","title":{"rendered":"Molecular Line Contamination and the C factor"},"content":{"rendered":"<p style=\"text-align: justify\">It has long been reported in the literature that emission in the 850 and 450 micron bands can be affected by the emission from molecular lines (<a href=\"http:\/\/adsabs.harvard.edu\/abs\/2003A%26A...412..157J\">Johnstone, D., Boonman, A. M. S., &amp; van Dishoeck, E. F. 2003, A&amp;A, 412, 157<\/a>). At 450\u03bcm the center of the bandpass filter at 664GHz is close to the <sup>12<\/sup>CO(6-5) line (at 691.473 GHz). At 850 \u03bcm the center of the bandpass filter at 347 GHz is close to the <sup>12<\/sup>CO(3-2) line (at 345.796 GHz).<\/p>\n<p style=\"text-align: justify\">Often astronomers wish to disentangle emission from dust at these wavelengths vs molecular emission lines and\/or free-free emission (for the latter see <a href=\"http:\/\/adsabs.harvard.edu\/abs\/2016MNRAS.460.4150R\">Rumble et al. 2016<\/a>).<\/p>\n<p style=\"text-align: justify\">This page focuses on how to calculate the contamination in the SCUBA-2 bandpass from emission lines. Specifically it outlines the Conversion Factor Function C which is used to convert data from K\/km\/s to mJy\/beam. C is found to depend on the amount of Precipitable Water Vapor (PWV) in the atmosphere.<\/p>\n<p style=\"text-align: justify\">In 2012 <a href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/bib_query?arXiv:1204.6180\">Drabek et al.<\/a> produced a paper specifically examining the <a href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/bib_query?arXiv:1204.6180\">Molecular line contamination in the SCUBA-2 450 and 850 \u03bcm continuum data<\/a>, outlining the Conversion Factor C.<\/p>\n<p style=\"text-align: justify\"><span style=\"color: #000000\">An updated value of C is presented below and has been published by <a href=\"http:\/\/iopscience.iop.org\/article\/10.3847\/1538-4365\/aa989c\/meta\">Parsons et al. 2018<\/a>.<br \/>\n<\/span><\/p>\n<div id=\"attachment_6293\" style=\"width: 840px\" class=\"wp-caption aligncenter\"><img aria-describedby=\"caption-attachment-6293\" loading=\"lazy\" class=\"wp-image-6293 size-large\" src=\"https:\/\/www.eaobservatory.org\/jcmt\/wp-content\/uploads\/sites\/2\/2017\/01\/SCUBA2conversionfactor-1024x704.png\" width=\"830\" height=\"571\" srcset=\"https:\/\/www.eaobservatory.org\/jcmt\/wp-content\/uploads\/sites\/2\/2017\/01\/SCUBA2conversionfactor-1024x704.png 1024w, https:\/\/www.eaobservatory.org\/jcmt\/wp-content\/uploads\/sites\/2\/2017\/01\/SCUBA2conversionfactor-300x206.png 300w, https:\/\/www.eaobservatory.org\/jcmt\/wp-content\/uploads\/sites\/2\/2017\/01\/SCUBA2conversionfactor-768x528.png 768w, https:\/\/www.eaobservatory.org\/jcmt\/wp-content\/uploads\/sites\/2\/2017\/01\/SCUBA2conversionfactor-218x150.png 218w, https:\/\/www.eaobservatory.org\/jcmt\/wp-content\/uploads\/sites\/2\/2017\/01\/SCUBA2conversionfactor-150x103.png 150w, https:\/\/www.eaobservatory.org\/jcmt\/wp-content\/uploads\/sites\/2\/2017\/01\/SCUBA2conversionfactor.png 1050w\" sizes=\"(max-width: 830px) 100vw, 830px\" \/><p id=\"caption-attachment-6293\" class=\"wp-caption-text\"><span style=\"font-size: 8pt\">C factor as a function of PWV. Top: 450 \u03bcm. Bottom: 850 \u03bcm. The solid lines are the fit as outlined in the paper by Parsons et al. submitted. The data points plotted are the original C factor values as reported by Drabek et al. (2012) for comparison. The shaded region in the C<sub>450<\/sub> plot denote the \u00b1 10% level, and in the C<sub>850<\/sub> plot denote the \u00b1 5% level.<\/span><\/p><\/div>\n<p>The C factor as a function of PWV is shown in the figure and is given as:<\/p>\n<p style=\"text-align: center\">C<sub>850<\/sub> = \u03b1 +\u00a0\u03b2 PWV &#8211;\u00a0\u03b3 (PWV<sup>2<\/sup>) +\u00a0\u03b4 (PWV<sup>3<\/sup>) &#8211;\u00a0\u03b5 (PWV<sup>4<\/sup>)\u00a0 mJy\/beam \/ K\/km\/s<\/p>\n<p style=\"text-align: justify\">The coefficients are provided as:<\/p>\n<div id=\"attachment_6314\" style=\"width: 310px\" class=\"wp-caption aligncenter\"><img aria-describedby=\"caption-attachment-6314\" loading=\"lazy\" class=\"wp-image-6314 size-medium\" src=\"https:\/\/www.eaobservatory.org\/jcmt\/wp-content\/uploads\/sites\/2\/2017\/01\/SCUBA2coefficientsConversionfactor-300x212.png\" width=\"300\" height=\"212\" srcset=\"https:\/\/www.eaobservatory.org\/jcmt\/wp-content\/uploads\/sites\/2\/2017\/01\/SCUBA2coefficientsConversionfactor-300x212.png 300w, https:\/\/www.eaobservatory.org\/jcmt\/wp-content\/uploads\/sites\/2\/2017\/01\/SCUBA2coefficientsConversionfactor-212x150.png 212w, https:\/\/www.eaobservatory.org\/jcmt\/wp-content\/uploads\/sites\/2\/2017\/01\/SCUBA2coefficientsConversionfactor-150x106.png 150w, https:\/\/www.eaobservatory.org\/jcmt\/wp-content\/uploads\/sites\/2\/2017\/01\/SCUBA2coefficientsConversionfactor.png 548w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><p id=\"caption-attachment-6314\" class=\"wp-caption-text\">The C factor function coefficients.<\/p><\/div>\n<p style=\"text-align: justify\">An example look at how to implement this can be found in the <a href=\"http:\/\/www.eaobservatory.org\/jcmt\/science\/reductionanalysis-tutorials\/scuba-2-data-reduction-tutorial-5\/\">SCUBA-2 Data Reduction Tutorial 5<\/a>.<\/p>\n<p>The C factor function requires the knowledge of the PWV during an observation. The conversion from Tau<sub>225GHz<\/sub> (which can be obtained from any JCMT fits header) to PWV is given on the <a href=\"http:\/\/www.eaobservatory.org\/jcmt\/observing\/weather-bands\/\">weather page<\/a> and in <a title=\"http:\/\/cdsads.u-strasbg.fr\/abs\/2013MNRAS.430.2534D\" href=\"http:\/\/cdsads.u-strasbg.fr\/abs\/2013MNRAS.430.2534D\">Dempsey et al. 2013<\/a>:<\/p>\n<p style=\"text-align: center\">Tau<sub>225GHz<\/sub> = 0.04 PWV + 0.017<\/p>\n","protected":false},"excerpt":{"rendered":"<p>It has long been reported in the literature that emission in the 850 and 450 micron bands can be affected by the emission from molecular lines (Johnstone, D., Boonman, A. M. S., &amp; van Dishoeck, E. F. 2003, A&amp;A, 412, 157). At 450\u03bcm the center of the bandpass filter at\u2026 <a class=\"continue-reading-link\" href=\"https:\/\/www.eaobservatory.org\/jcmt\/instrumentation\/continuum\/scuba-2\/contamination\/\">Continue reading<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"parent":176,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/www.eaobservatory.org\/jcmt\/wp-json\/wp\/v2\/pages\/6359"}],"collection":[{"href":"https:\/\/www.eaobservatory.org\/jcmt\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.eaobservatory.org\/jcmt\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.eaobservatory.org\/jcmt\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.eaobservatory.org\/jcmt\/wp-json\/wp\/v2\/comments?post=6359"}],"version-history":[{"count":33,"href":"https:\/\/www.eaobservatory.org\/jcmt\/wp-json\/wp\/v2\/pages\/6359\/revisions"}],"predecessor-version":[{"id":8038,"href":"https:\/\/www.eaobservatory.org\/jcmt\/wp-json\/wp\/v2\/pages\/6359\/revisions\/8038"}],"up":[{"embeddable":true,"href":"https:\/\/www.eaobservatory.org\/jcmt\/wp-json\/wp\/v2\/pages\/176"}],"wp:attachment":[{"href":"https:\/\/www.eaobservatory.org\/jcmt\/wp-json\/wp\/v2\/media?parent=6359"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}