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Wavelength and Magnitude Conversions - SDSS

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class="site-content"> <div class="wrapper u-t-margin"> <div class="columns columns--gutters"> <div id="primary" class="content-area columns__md-8 u-b-margin"> <main id="main" class="site-main"> <article id="post-3115" class="gx-card post-3115 page type-page status-publish hentry"> <div class="gx-card-content"> <header class="entry-header"> <h1 class="entry-title">Wavelength and Magnitude Conversions</h1> </header><!-- .entry-header --> <div class="entry-content"> <div class='toc toc-right'><!-- wp:pb/accordion-item {"titleTag":"h2","scroll":true,"uuid":"43251515-77f0-42bb-920e-6a42b86a0f87"} --><div class="wp-block-pb-accordion-item c-accordion__item js-accordion-item no-js toc-label" data-initially-open="1" data-click-to-close="true" data-auto-close="true" data-scroll="false" data-scroll-offset="0" id="div-id-43251515-77f0-42bb-920e-6a42b86a0f87"><div id="at-43251515-77f0-42bb-920e-6a42b86a0f87" class="c-accordion__title js-accordion-controller toc-label-accordion" role="button">On this page</div><div id="ac-43251515-77f0-42bb-920e-6a42b86a0f87" class="c-accordion__content"><ul><li class='forh2' ><a href='#vacuum'>Conversion between vacuum and air wavelengths</a></li><li class='forh2' ><a href='#SDSStoAB'>Conversion from SDSS <em>ugriz</em> magnitudes to AB <em>ugriz</em> magnitudes</a></li></ul></div></div><!-- /wp:pb/accordion-item --></div> <p>This page gives information about how to convert between the wavelength and magnitude conventions used by the SDSS and other systems.</p> <h2 class="wp-block-heading" id="vacuum">Conversion between vacuum and air wavelengths</h2> <p>The SDSS data describing spectral line wavelengths use vacuum wavelengths. However, the wavelengths of atomic transitions are usually quoted at standard temperature and pressure (S.T.P.); this is how the <a rel="noreferrer noopener" href="https://hbcp.chemnetbase.com/faces/contents/ContentsSearch.xhtml;jsessionid=EE07131D6EF4D3D058D21CEE2DDE22A0" target="_blank">CRC Handbook of Chemistry and Physics</a> lists them for any transitions redward of 2000 脜ngstr枚ms.</p> <p>Thus, recognizing spectral lines associated with atomic transitions may require converting the SDSS data to the equivalent values at S.T.P.</p> <p>Since Data Release 9 (DR9) in 2012, the SDSS has used the following equation, based on the formulas given in <a href="https://ui.adsabs.harvard.edu/abs/1996ApOpt..35.1566C/abstract" target="_blank" rel="noreferrer noopener">Ciddor (1996)</a>, to convert from vacuum (VAC) wavelengths in 脜ngstr枚ms to air (AIR) wavelengths:</p> <pre class="wp-block-code"><code>AIR = VAC / ( 1.0 + 5.792105E-2/(238.0185 - (1E4/VAC)^2) + 1.67917E-3/( 57.362 - (1E4/VAC)^2))</code></pre> <h3 class="wp-block-heading" id="transitiontable">Air and Vacuum Wavelength of some Common Transitions</h3> <figure class="wp-block-table"><table><tbody><tr><td><strong>Line</strong></td><td><strong>Air</strong></td><td><strong>Vacuum</strong></td></tr><tr><td>H-beta</td><td>4861.325</td><td>4862.683</td></tr><tr><td>[O III]</td><td>4958.911</td><td>4960.295</td></tr><tr><td>[O III]</td><td>5006.843</td><td>5008.239</td></tr><tr><td>[N II]</td><td>6548.05</td><td>6549.86</td></tr><tr><td>H-alpha</td><td>6562.801</td><td>6564.614</td></tr><tr><td>[N II]</td><td>6583.45</td><td>6585.27</td></tr><tr><td>[S II]</td><td>6716.44</td><td>6718.29</td></tr><tr><td>[S II]</td><td>6730.82</td><td>6732.68</td></tr></tbody></table></figure> <p>Note also that the wavelengths are shifted such that measured velocities will be relative to the solar system barycentric at the mid-point of each exposure (using TAI-BEG + 0.5 * EXPTIME from the header).</p> <h2 class="wp-block-heading" id="SDSStoAB">Conversion from SDSS <em>ugriz</em> magnitudes to AB <em>ugriz</em> magnitudes</h2> <p>The SDSS photometry is intended to be on the AB system <a target="_blank" href="http://ui.adsabs.harvard.edu/abs/1983ApJ...266..713O" rel="noreferrer noopener">(Oke &amp; Gunn 1983)</a>, by which a magnitude 0 object should have the same counts as a source of F<sub>谓</sub> = 3631 Jy. However, this is known not to be exactly true, such that the photometric zeropoints are slightly off the AB standard. We continue to work to pin down these shifts. Our present estimate, based on comparison to the STIS standards of <a target="_blank" href="http://ui.adsabs.harvard.edu/abs/2001AJ....122.2118B" rel="noreferrer noopener">Bohlin, Dickinson, &amp; Calzetti (2001)</a> and confirmed by SDSS photometry and spectroscopy of fainter hot white dwarfs, is that the <var>u</var> band zeropoint is in error by 0.04 mag, <var>u</var><sub>AB</sub> = <var>u</var><sub>SDSS</sub> &#8211; 0.04 mag, and that <var>g, r</var>, and <var>i</var> are close to AB. The <var>z</var> band zeropoint is not as certain at this time, but there is mild evidence that it may be shifted by about 0.02 mag in the sense <var>z</var><sub>AB</sub> = <var>z</var><sub>SDSS</sub> + 0.02 mag.</p> <p>The large shift in the <var>u</var> band was expected because the adopted magnitude of the SDSS standard BD+17 in <a target="_blank" href="http://adsabs.harvard.edu/abs/1996AJ....111.1748F" rel="noreferrer noopener">Fukugita et al. (1996)</a> was computed at zero airmass, thereby making the assumed <var>u</var> response bluer than that of the USNO system response.</p> <p>These statements are certainly not precise to better than 0.01 mag; in addition, they depend on the system response of the SDSS 2.5-meter, which was measured by <a target="_blank" href="http://ui.adsabs.harvard.edu/abs/2010AJ....139.1628D" rel="noreferrer noopener">Doi et al. (2010)</a> and found to differ somewhat from the curves used to estimate the offsets just mentioned, and to probably be a function of time. They estimate the <em>u-g</em> change due to these differences to be at the 0.01 to 0.02 mag level.</p> <p>Note that our <em>relative</em> photometry across the sky is quite a bit better than these numbers would imply; repeat observations and simulations of the ubercal pipeline show that our calibrations are about 1% in <var>gri</var> and about 2% in <var>u</var> and <var>z</var>.</p> </div><!-- .entry-content --> </div><!-- .gx-card-content --> </article><!-- #post-3115 --> </main><!-- #main --> </div><!-- #primary --> <div class="columns__md-4"> <div class="sidebar__inner"> <aside id="secondary" class="widget-area sidebar-1 h-center-upto-md" aria-label="Sidebar"> <section id="nav_menu-40" class="widget gx-card-content u-b-margin widget_nav_menu"><h3 class="widget-title">Tutorials</h3><nav class="menu-tutorials-container" aria-label="Tutorials"><ul id="menu-tutorials" class="menu"><li id="menu-item-1329" class="menu-item menu-item-type-post_type menu-item-object-page current-page-ancestor current-page-parent menu-item-1329"><a href="https://www.sdss.org/dr18/tutorials/">Tutorials Overview</a></li> <li id="menu-item-1421" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-1421"><a href="https://www.sdss.org/dr18/tutorials/par/">Parameter Files</a></li> <li id="menu-item-1420" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-1420"><a href="https://www.sdss.org/dr18/tutorials/fitsfiles/">FITS Files</a></li> <li id="menu-item-1330" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-1330"><a href="https://www.sdss.org/dr18/tutorials/using_bitmasks/">Using Bitmasks</a></li> <li id="menu-item-3123" class="menu-item menu-item-type-post_type menu-item-object-page current-menu-item page_item page-item-3115 current_page_item menu-item-3123"><a href="https://www.sdss.org/dr18/tutorials/conversions/" aria-current="page">Wavelength and Magnitude Conversions</a></li> </ul></nav></aside> <!--<div class='sidebar-toc'>--> <!--</div>--> </aside><!-- #secondary --> </div><!-- .sidebar__inner --> </div><!-- .columns__md-4 --> </div><!-- .columns --> </div><!-- .wrapper --> </div><!-- #content --> <footer id="footer" class="site-footer"> <div class="gx-footer-block-area"> <div class="wrapper"> <div class="entry-content"> <div class='toc toc-right'><!-- wp:pb/accordion-item {"titleTag":"h2","scroll":true,"uuid":"6bc8f8df-4f39-4960-a5c6-b7759ea40da2"} --><div class="wp-block-pb-accordion-item c-accordion__item js-accordion-item no-js toc-label" data-initially-open="1" data-click-to-close="true" data-auto-close="true" data-scroll="false" data-scroll-offset="0" id="div-id-6bc8f8df-4f39-4960-a5c6-b7759ea40da2"><div id="at-6bc8f8df-4f39-4960-a5c6-b7759ea40da2" class="c-accordion__title js-accordion-controller toc-label-accordion" role="button">On this page</div><div id="ac-6bc8f8df-4f39-4960-a5c6-b7759ea40da2" class="c-accordion__content"><ul></ul></div></div><!-- /wp:pb/accordion-item --></div> <div class="wp-block-columns is-layout-flex wp-container-core-columns-is-layout-1 wp-block-columns-is-layout-flex"> <div class="wp-block-column footmenu is-layout-flow wp-block-column-is-layout-flow"> <h3 class="wp-block-heading footmenu-label">Explore</h3> <p><a href="/dr18/" data-type="page" data-id="36">Data Release 18</a></p> <p><a href="/dr18/data_access/" data-type="page" data-id="38">Data Access</a></p> <p><a href="/dr18/tutorials/" data-type="page" data-id="519">Tutorials</a></p> <p><a href="/dr18/data_access/value-added-catalogs/" data-type="page" data-id="505">Value Added Catalogs</a></p> </div> <div class="wp-block-column footmenu is-layout-flow wp-block-column-is-layout-flow"> <h3 class="wp-block-heading footmenu-label">Learn</h3> <p><a href="/mappers/" data-type="page" data-id="68">Mappers</a></p> <p><a href="/instruments/" data-type="page" data-id="77">Instruments</a></p> <p><a href="/education/" data-type="page" data-id="91">Education</a></p> <p><a href="/science/" data-type="page" data-id="87">Science</a></p> </div> <div class="wp-block-column footmenu is-layout-flow wp-block-column-is-layout-flow"> <h3 class="wp-block-heading footmenu-label">Connect</h3> <p><a href="/contact-us/" data-type="page" data-id="32">Contact Us</a></p> <p><a href="mailto:helpdesk@sdss.org" target="_blank" rel="noreferrer noopener">Email Helpdesk</a></p> <p><a href="https://www.facebook.com/SDSSurveys/" target="_blank" rel="noreferrer noopener" class="broken_link">Facebook</a></p> <p><a href="/people/" title="">SDSS People</a></p> </div> <div class="wp-block-column footlogos is-layout-flow wp-block-column-is-layout-flow"> <p class="has-text-align-center">SDSS is supported by:</p> <div class="wp-block-image img-responsive"> <figure class="aligncenter size-large"><a href="https://www.sloan.org" target="_blank" rel="noreferrer noopener"><img loading="lazy" decoding="async" width="1024" height="200" src="/wp-content/uploads/2022/06/Logo-2B-SMALL-Gold-Blue-1024x200.png" alt="Alfred P. 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