{"id":145,"date":"2017-07-23T14:43:01","date_gmt":"2017-07-23T18:43:01","guid":{"rendered":"https:\/\/sites.bu.edu\/nml\/?page_id=145"},"modified":"2017-07-23T14:49:02","modified_gmt":"2017-07-23T18:49:02","slug":"angle-resolved-photoemission-spectroscopy","status":"publish","type":"page","link":"https:\/\/sites.bu.edu\/nml\/angle-resolved-photoemission-spectroscopy\/","title":{"rendered":"Angle Resolved Photoemission Spectroscopy"},"content":{"rendered":"

\"Picture7\"<\/p>\n

By measuring the kinetic energy (E) and momentum (k<\/i><\/b>) of the electron in vacuum, the dispersion of the electron state E(k<\/i><\/b>) in the solid can be determined<\/p>\n

\"Picture8\"<\/p>\n

EF<\/sub> = \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Fermi energy
\nEvac<\/sub> =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Vacuum level
\nEi<\/sub> , k<\/em><\/strong>i<\/sub>=\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 initial energy and momentum of electron in solid
\nEf<\/sub> , k<\/em><\/strong>f<\/sub> =\u00a0\u00a0\u00a0\u00a0\u00a0 final energy and momentum of electron following excitation
\nE, k<\/em><\/strong> = \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 energy and momentum of free electron in vacuum after emission
\n\u03a6\u00a0=\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Evac <\/sub>\u2013 EF<\/sub> = work function
\nh\u03bd\u00a0 = \u00a0 \u00a0 \u00a0 \u00a0\u00a0 incident photon energy<\/p>\n

Energy conservation gives E(k<\/em><\/strong>) = h\u03bd \u2013\u00a0\u03a6 \u2013 Ei<\/sub>(k<\/em><\/strong>i<\/sub>)<\/p>\n

Momentum conservation parallel to the surface gives:<\/p>\n

\"Picture10\"<\/p>\n

Momentum is not conserved perpendicular to the surface, but for a given inner potential V0<\/sub>, we can write:<\/p>\n

\"Picture11\"<\/p>\n","protected":false},"excerpt":{"rendered":"

By measuring the kinetic energy (E) and momentum (k) of the electron in vacuum, the dispersion of the electron state E(k) in the solid can be determined EF = \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Fermi energy Evac =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Vacuum level Ei , ki=\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 initial energy and momentum of electron in solid Ef , kf =\u00a0\u00a0\u00a0\u00a0\u00a0 final energy and momentum […]<\/p>\n","protected":false},"author":13678,"featured_media":0,"parent":0,"menu_order":10,"comment_status":"closed","ping_status":"closed","template":"page-templates\/no-sidebars.php","meta":[],"_links":{"self":[{"href":"https:\/\/sites.bu.edu\/nml\/wp-json\/wp\/v2\/pages\/145"}],"collection":[{"href":"https:\/\/sites.bu.edu\/nml\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.bu.edu\/nml\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.bu.edu\/nml\/wp-json\/wp\/v2\/users\/13678"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.bu.edu\/nml\/wp-json\/wp\/v2\/comments?post=145"}],"version-history":[{"count":3,"href":"https:\/\/sites.bu.edu\/nml\/wp-json\/wp\/v2\/pages\/145\/revisions"}],"predecessor-version":[{"id":153,"href":"https:\/\/sites.bu.edu\/nml\/wp-json\/wp\/v2\/pages\/145\/revisions\/153"}],"wp:attachment":[{"href":"https:\/\/sites.bu.edu\/nml\/wp-json\/wp\/v2\/media?parent=145"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}