{"id":860,"date":"2024-07-26T15:47:09","date_gmt":"2024-07-26T19:47:09","guid":{"rendered":"https:\/\/sites.temple.edu\/molecularoptics\/?page_id=860"},"modified":"2024-08-06T11:54:45","modified_gmt":"2024-08-06T15:54:45","slug":"measurement-of-etdmr","status":"publish","type":"page","link":"https:\/\/sites.temple.edu\/molecularoptics\/measurement-of-etdmr\/","title":{"rendered":"Measurement of eTDM(R)."},"content":{"rendered":"\n<div class=\"wp-block-group alignwide\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<ul class=\"wp-block-list\">\n<li><em>Measurement of the absolute magnitude of molecular electronic transition dipole moments and their dependence on the internuclear distance.<\/em>\n<ul class=\"wp-block-list\">\n<li>Accurate knowledge of transition dipole moment matrix elements is crucial, since important parameters associated with the interaction of light with matter, such as emission and absorption line intensities, lifetimes, and Einstein coefficients, depend on these matrix elements. We have measured absolute transition dipole matrix elements for ro-vibrational transitions of various&nbsp;electronic transitions in Li<sub>2<\/sub>&nbsp;and Na<sub>2<\/sub>&nbsp;using Autler-Townes and optical-optical double resonance spectroscopy, and we compare the results to&nbsp;<em>ab initio<\/em>&nbsp;theoretical values.<\/li>\n\n\n\n<li>Traditionally, transition dipole matrix elements have been determined experimentally using spectral line intensities or lifetimes.&nbsp;However, usually only&nbsp;<em>relative<\/em>&nbsp;transition dipole moments can be determined with these methods. For example, fluorescence intensity measurements do not give absolute dipole matrix elements because absolute intensities are difficult to determine, the emission is generally not isotropic, and the wavelength and polarization dependence of the detection system must be taken into account. However, since the intensities of emission (fluorescence) lines are proportional to the square of the transition dipole matrix element and the 4th power of the transition frequency (\u2060\ud835\udc3c<sub>\ud835\udc53\ud835\udc59\ud835\udc62\ud835\udc5c\ud835\udc5f<\/sub>\u2009\u221d\u2009\ud835\udf08<sup>4<\/sup>|\ud835\udf07|<sup>2\u2060<\/sup>), ratios of line intensities divided by&nbsp;\ud835\udf084&nbsp;yield ratios of dipole matrix elements squared.<\/li>\n\n\n\n<li>Autler-Townes (AT) spectroscopy is an alternative method that provides absolute transition dipole matrix elements (from AT splittings of spectral lines) for sufficiently strong transitions.&nbsp;Such measurements can be used to put relative dipole matrix elements, obtained, for example, from fluorescence measurements, on an absolute scale<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Relevant publications:\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.sciencedirect.com\/science\/article\/abs\/pii\/S0022285218303059\">Electronic transition dipole moment and radiative lifetime calculations of lithium dimer ion-pair states<\/a> (JMS)<\/li>\n\n\n\n<li><a href=\"https:\/\/pubs.aip.org\/aip\/jcp\/article\/147\/20\/204301\/195034\">Measurement of the Na<sub>2<\/sub> 6<sup>1<\/sup>\u03a3<sub>g<\/sub><sup>+<\/sup> &#8211; A<sup>1<\/sup>\u03a3<sub>u<\/sub><sup>+<\/sup> and 5<sup>1<\/sup>\u03a3<sub>g<\/sub><sup>+<\/sup> &#8211; A<sup>1<\/sup>\u03a3<sub>u<\/sub><sup>+<\/sup> transition dipole moments using optical-optical double resonance and Autler\u2013Townes spectroscopy<\/a> (JCP)<\/li>\n\n\n\n<li><a href=\"https:\/\/pubs.aip.org\/aip\/jcp\/article\/143\/10\/104304\/899825\">Electronic transition dipole moment and radiative lifetime calculations of sodium dimer ion-pair states<\/a> (JCP)<\/li>\n\n\n\n<li><a href=\"https:\/\/pubs.aip.org\/aip\/jcp\/article\/129\/17\/174301\/187986\">Comparison of Autler\u2013Townes splitting based absolute measurements of the\u00a0<sup>7<\/sup>Li<sub>2<\/sub>\u2009A<sup>1<\/sup>\u03a3<sub>u<\/sub><sup>+<\/sup>\u2009\u2212 X<sup>1<\/sup>\u03a3<sub>g<\/sub><sup>+<\/sup>\u00a0electronic transition dipole moment with\u00a0<em>ab initio<\/em>\u00a0theory<\/a> (JCP)<\/li>\n\n\n\n<li><a href=\"https:\/\/pubs.aip.org\/aip\/jcp\/article\/129\/15\/154303\/897630\">Measurement of absolute transition dipole moment functions of the\u00a03<sup>1<\/sup>\u03a0\u21921(X)<sup>1<\/sup>\u03a3<sup>+<\/sup>\u00a0and\u00a03\u2009<sup>1<\/sup>\u03a0\u21922(A)<sup>1<\/sup>\u03a3<sup>+<\/sup>\u00a0transitions in NaK using Autler\u2013Townes spectroscopy and calibrated fluorescence<\/a> (JCP)<\/li>\n\n\n\n<li><a href=\"https:\/\/journals.aps.org\/pra\/abstract\/10.1103\/PhysRevA.77.053414\">Experimental mapping of the absolute magnitude of the transition dipole moment function<strong>\u00a0<\/strong>\ud835\udf07<sub>\ud835\udc52<\/sub>\u2061(\ud835\udc45)\u00a0of the\u00a0Na<sub>2<\/sub>\u00a0\ud835\udc34\u2009<sup>1<\/sup>\ud835\udef4<sub>\ud835\udc62<\/sub><sup>+<\/sup> \u2212 \ud835\udc4b\u2009<sup>1<\/sup>\ud835\udef4<sub>\ud835\udc54<\/sub><sup>+<\/sup><\/a> (PRA)<\/li>\n\n\n\n<li><a href=\"https:\/\/pubs.aip.org\/aip\/jcp\/article\/124\/8\/084308\/349184\">Measurement of the electronic transition dipole moment by Autler-Townes splitting: Comparison of three- and four-level excitation schemes for the\u00a0Na<sub>2<\/sub> A <sup>1<\/sup>\u03a3<sub>u<\/sub><sup>+<\/sup> \u2212 X <sup>1<\/sup>\u03a3<sub>g<\/sub><sup>+<\/sup>\u00a0system<\/a> (JCP)<\/li>\n\n\n\n<li><a href=\"https:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.88.173003\">Measurement of Transition Dipole Moments in Lithium Dimers Using Electromagnetically Induced Transparency<\/a> (PRL)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Poster:<\/li>\n<\/ul>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/sites.temple.edu\/molecularoptics\/files\/2024\/07\/DAMOP2016PresentationAydin_Sanli-1.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of DAMOP2016PresentationAydin_Sanli-1.\"><\/object><a id=\"wp-block-file--media-6aed4a92-7508-4ae6-a416-7dec99412820\" href=\"https:\/\/sites.temple.edu\/molecularoptics\/files\/2024\/07\/DAMOP2016PresentationAydin_Sanli-1.pdf\">DAMOP2016PresentationAydin_Sanli-1<\/a><a href=\"https:\/\/sites.temple.edu\/molecularoptics\/files\/2024\/07\/DAMOP2016PresentationAydin_Sanli-1.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-6aed4a92-7508-4ae6-a416-7dec99412820\">Download<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":28395,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_themeisle_gutenberg_block_has_review":false,"footnotes":""},"class_list":["post-860","page","type-page","status-publish","hentry"],"acf":[],"featured_image_src":null,"featured_image_src_square":null,"_links":{"self":[{"href":"https:\/\/sites.temple.edu\/molecularoptics\/wp-json\/wp\/v2\/pages\/860","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.temple.edu\/molecularoptics\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.temple.edu\/molecularoptics\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.temple.edu\/molecularoptics\/wp-json\/wp\/v2\/users\/28395"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.temple.edu\/molecularoptics\/wp-json\/wp\/v2\/comments?post=860"}],"version-history":[{"count":19,"href":"https:\/\/sites.temple.edu\/molecularoptics\/wp-json\/wp\/v2\/pages\/860\/revisions"}],"predecessor-version":[{"id":1126,"href":"https:\/\/sites.temple.edu\/molecularoptics\/wp-json\/wp\/v2\/pages\/860\/revisions\/1126"}],"wp:attachment":[{"href":"https:\/\/sites.temple.edu\/molecularoptics\/wp-json\/wp\/v2\/media?parent=860"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}