{"id":3654,"date":"2021-08-30T11:36:24","date_gmt":"2021-08-30T09:36:24","guid":{"rendered":"http:\/\/www.lac.universite-paris-saclay.fr\/?page_id=3654"},"modified":"2021-08-30T11:36:24","modified_gmt":"2021-08-30T09:36:24","slug":"the-k2-atlas","status":"publish","type":"page","link":"http:\/\/www.lac.universite-paris-saclay.fr\/?page_id=3654","title":{"rendered":"The K2 Atlas"},"content":{"rendered":"<p><hr WIDTH=\"100%\">\n<br \/>&nbsp;<br \/>\n<center><\/p>\n<table BORDER=2 COLS=2 WIDTH=\"50%\" BGCOLOR=\"#CCCCCC\" NOSAVE >\n<tr NOSAVE>\n<td>\n<center><a href=\"http:\/\/www.lac.u-psud.fr\/coldmolecules\/atlas\/index.html\">back<br \/>\nto the welcome page<\/a><\/center>\n<\/td>\n<td NOSAVE>\n<center>back to <a href=\"http:\/\/www.lac.u-psud.fr\">LAC<\/a>. homepage<\/center>\n<\/td>\n<\/tr>\n<tr NOSAVE>\n<td COLSPAN=\"2\" NOSAVE>\n<center><a href=\"http:\/\/www.lac.u-psud.fr\/lac\/atlas\/K2\/index.html\">Direct<br \/>\naccess to the plates and tables<\/a><\/center>\n<\/td>\n<\/tr>\n<\/table>\n<p><\/center><\/p>\n<h1>\n<hr WIDTH=\"100%\"><\/h1>\n<h1>\n<font size=+2>I. Experimental conditions<\/font><\/h1>\n<p>&nbsp;<\/p>\n<p>&nbsp;<br \/>\n<br \/>&nbsp;<br \/>\n<br \/>&nbsp;<br \/>\n<br \/>&nbsp;<br \/>\n<br \/>&nbsp;<br \/>\n<br \/>&nbsp;<br \/>\n<br \/>&nbsp;<\/p>\n<p STYLE=\"text-indent: 1.25cm; margin-bottom: 0cm\">The absorption spectrum<br \/>\nof the K<sub>2<\/sub> molecule in the 10487-12000 cm<sup>-1<\/sup> spectral<br \/>\nrange is presented in this Atlas. It is due to the transition between the<br \/>\n(A) <sup>1<\/sup><font face=\"Symbol, serif\">Sigma<\/font><sup>+<\/sup><sub>u<\/sub><br \/>\nand (X)<sup>1<\/sup><font face=\"Symbol, serif\">Sigma<\/font><sup>+<\/sup><sub>g<\/sub><br \/>\nelectronic states. This spectral region is included in two previously published<br \/>\natlases [1,2].<\/p>\n<p STYLE=\"text-indent: 1.25cm; margin-bottom: 0cm\">The present work was<br \/>\nperformed for two reasons:<\/p>\n<div STYLE=\"text-indent: 1.25cm; margin-bottom: 0cm\">&#8211; the experimental<br \/>\nconditions proposed to the potential users are easiest to implement than<br \/>\nin the two previously cited references ;<\/div>\n<div STYLE=\"text-indent: 1.25cm; margin-bottom: 0cm\">&#8211; the hyperfine structure<br \/>\naffecting the lines are of much fainter intensity than those in the I<sub>2<\/sub><br \/>\ncase, leading to a better wavenumber determination.<\/div>\n<div STYLE=\"text-indent: 1.25cm; margin-bottom: 0cm\">The used absorption<br \/>\ncell is represented in Fig. 1. It is a stainless steel pipe, 480 mm long<br \/>\nand with 63 mm external diameter. The active part is approximately the<br \/>\nlength of the heating oven i.e. 250 mm. The grid (250 mesh), made of stainless<br \/>\nsteel (type 304), is realized with a 40 <font face=\"Symbol, serif\">m<\/font>m<br \/>\ndiameter (D) thread, the distance O between two consecutive threads being<br \/>\n61 <font face=\"Symbol, serif\">m<\/font>m (Fig. 2). The grid is composed<br \/>\nof three layers of this wire gauze and extends after the cooling zone.<br \/>\nThe metal, evaporating in the central part, moves through the mesh due<br \/>\nto capillarity. The pressure of the metallic vapour is balanced by an inert<br \/>\ngas, argon, preventing from potassium condensation on the windows [3].<br \/>\nThe heat pipe is inserted in a White type cell, ruled for four passes (Fig.<br \/>\n1), and giving a one meter absorption length [4].<\/div>\n<div STYLE=\"text-indent: 1.25cm; margin-bottom: 0cm\">The K<sub>2<\/sub><br \/>\nabsorption spectrum was recorded under the following source conditions<br \/>\n:<\/div>\n<div STYLE=\"margin-bottom: 0cm\">argon pressure 6 mbarr (610 P) ; temperature<br \/>\n550 K. The continuous background spectrum is provided by a 250 W halogen<br \/>\ntype lamp (tungsten wire), the electrical power being limited to 90 W during<br \/>\nthe experiment. The Fourier transform spectrometer used for the spectrum<br \/>\nrecording is described in [5].<\/div>\n<p><center><img SRC=\"Figure_1_K2.jpg\" NOSAVE height=768 width=1024><\/p>\n<p><img SRC=\"Figure_2_K2.jpg\" NOSAVE height=768 width=1024><\/center><\/p>\n<h2>\nII. Presentation of Plates and Tables<\/h2>\n<div STYLE=\"margin-bottom: 0cm\">Each page of the atlas, noted <b>Page_001,<br \/>\n002,&#8230;<\/b>reproduce equally spaced ranges of the spectrum. A small overlapping<br \/>\nspectral range exists between successive plates. The vertical scale, indicating<br \/>\nthe absorption of each line profile, is given in arbitrary units but the<br \/>\ncontinuous background is normalized to unity for each plate. The estimated<br \/>\nlocal noise [6] is visualized at right of the vertical axis by a line portion<br \/>\nlimited by two opposed triangles. The wavenumber scale is equal to 0.5<br \/>\ncm<sup>-1<\/sup>\/cm when the distance between abcissae ticks is 2 cm. Each<br \/>\nreference line is marked by a vertical tick, located in the upper part<br \/>\nof the spectrum. These ticks are numbered each 5 value, the corresponding<br \/>\nticks being longer. A spectral line is retained as a reference one if the<br \/>\ntwo criteria are fullfiled :<\/div>\n<ul>\n<div STYLE=\"margin-bottom: 0cm\">all lines with a width (evaluated at half<br \/>\nmaximum) larger than 1.8 times the instrumental resolution (0.02 cm<sup>-1<\/sup>)<br \/>\nare discarded ;<\/div>\n<div STYLE=\"margin-bottom: 0cm\">the detection level (relative absorption)<br \/>\nis choosed in order to ensure a nearly constant density of reference wavenumbers<br \/>\nin each studied spectral range (Fig. 3b).<\/div>\n<\/ul>\n<div STYLE=\"margin-bottom: 0cm\">The evolution of the background, not really<br \/>\ncontinuous due to various effects, is depicted in Fig. 3a.<\/div>\n<div STYLE=\"margin-bottom: 0cm\">The Tables of wavenumbers, noted <b>Sigma<br \/>\nP001,&#8230; Sigma Pn, <\/b>correspond to each plate <b>Page001,&#8230;Page n. <\/b>They<br \/>\nare organized as follows :<\/div>\n<div STYLE=\"margin-bottom: 0cm\">First column : numeration number near the<br \/>\nvertical ticks ;<\/div>\n<div STYLE=\"margin-bottom: 0cm\">Second column : vacuum wavenumber in cm<sup>-1<br \/>\n<\/sup>;<\/div>\n<div STYLE=\"margin-bottom: 0cm\">Third column : relative absorption intensity<br \/>\n(multiplied by 100) ;<\/div>\n<p STYLE=\"margin-bottom: 0cm\">Fourth column : width of the line at half<br \/>\nheight in 10<sup>-3<\/sup> cm<sup>-1<\/sup>.<\/p>\n<p STYLE=\"margin-bottom: 0cm\">Additional informations about the characterization<br \/>\nof the lines can be found in [6].<br \/>\n<center><\/p>\n<p><img SRC=\"Figure_3_K2.jpg\" NOSAVE height=768 width=1024><\/center><\/p>\n<p STYLE=\"margin-bottom: 0cm\"><b><font size=+2>III. Calibration of the<br \/>\nwavenumbers and accuracy<\/font><\/b><br \/>\n<br \/>&nbsp;<\/p>\n<p STYLE=\"margin-bottom: 0cm\">A complementary experiment was performed<br \/>\non the atomic resonance transition<\/p>\n<p STYLE=\"margin-bottom: 0cm\">6p <sup>2<\/sup>P<sub>1\/2<\/sub>&#8212;6s<br \/>\n<sup>2<\/sup>S<sub>1\/2<br \/>\n<\/sub>of<br \/>\ncesium, appearing in the considered spectral region. An accurate frequency<br \/>\nmeasurement of this transition gave [7] <font face=\"Symbol, serif\">n<\/font><br \/>\n= 335 116 48 807 (41) kHz or <font face=\"Symbol, serif\">s<\/font> = 11178.2681607<br \/>\n(14) cm<sup>-1<\/sup>. The Fourier measurement, 11178.2710 cm<sup>-1<\/sup>,<br \/>\nshows a difference lower than 0.003 cm<sup>-1<\/sup>. However the K<sub>2<\/sub><br \/>\nabsorption and Cs<sub>2<\/sub> emission spectra were successively recorded.<br \/>\nAs a consequence systematic errors due to the interferometer, to the electronic<br \/>\npath difference servo-control, to the source,&#8230; can perturb the measurements.<br \/>\nThese different errors were analysed and evaluated [8]. The major uncertainty<br \/>\nis due to the wavenumber precision of the Xe radiation used to monitor<br \/>\nthe path difference in the interferometer. All these errors lead to a 0.0013<br \/>\ncm<sup>-1<\/sup> uncertainty.<\/p>\n<p STYLE=\"margin-bottom: 0cm\">In conclusion, for the stronger lines, the<br \/>\nuncertainty of the reported wavenumbers should not exceed 0.005 cm<sup>-1<\/sup>.<br \/>\n<br \/>&nbsp;<br \/>\n<br \/>&nbsp;<\/p>\n<h2>\nIV. Comparison between the atlas spectrum and a laser induced fluorescence<br \/>\nspectrum<\/h2>\n<div STYLE=\"margin-bottom: 0cm\">The lower trace in Fig. 4 depicts a portion<br \/>\nof the present atlas spectrum (upper part of <b>Page 71<\/b>). The upper<br \/>\ntrace shows the same spectral range recorded after variable frequency laser<br \/>\nexcitation and recording of the global emitted fluorescence light. The<br \/>\nused heat pipe (Fig. 5) is identical to the one represented in Fig. 1 with<br \/>\ndifferent dimensions : length of 550 mm, external diameter equal to 33<br \/>\nmm, heated length of 150 mm. The exciting laser radiation (Ti:Sa 899-21<br \/>\nCoherent), attenuated by a factor of 1000 in order to avoid saturation<br \/>\neffects, delivers a power of some milliwatts. Under these conditions the<br \/>\ntwo spectra of Fig. 4 are very similar.<\/div>\n<p><center><img SRC=\"Figure_4_K2.jpg\" NOSAVE height=768 width=1024><\/p>\n<p><img SRC=\"Figure_5_K2.jpg\" NOSAVE height=768 width=1024><\/center><\/p>\n<h2>\nReferences<\/h2>\n<ol>\n<div STYLE=\"margin-bottom: 0cm\">[1] S. Gersternkorn, J. Verg&egrave;s,<br \/>\nJ. Chevillard, Atlas du spectre d&#8217;absorption de la mol&eacute;cule d&#8217;iode<br \/>\n(11000-14000 cm<sup>-1<\/sup>). Laboratoire Aim&eacute; Cotton, C.N.R.S.<br \/>\nII, B&acirc;timent 505, Campus d&#8217;Orsay, 91405 Orsay Cedex, France.<\/div>\n<div STYLE=\"margin-bottom: 0cm\">[2] S. Gersternkorn, P. Luc, J. Verg&egrave;s,<br \/>\nAtlas du Spectre d&#8217;absorption de la mol&eacute;cule d&#8217;iode (7220-11200<br \/>\ncm<sup>-1<\/sup>). Laboratoire Aim&eacute; Cotton, C.N.R.S. II, B&acirc;timent<br \/>\n505, Campus d&#8217;Orsay, 91405 Orsay Cedex, France.<\/div>\n<div STYLE=\"margin-bottom: 0cm\">[3] C.R. Vidal , J. Cooper, J. Appl. Phys.<br \/>\n<b>40<\/b>,<br \/>\n3370-3374 (1969).<\/div>\n<div STYLE=\"margin-bottom: 0cm\">[4] J.U.White, J. Opt. Soc. Am. <b>32<\/b>,<br \/>\n285-288 (1942).<\/div>\n<div STYLE=\"margin-bottom: 0cm\">[5] J. Connes, H. Delouis, P. Connes, G.<br \/>\nGuelachvili, J.P. Maillard, G. Michel, Nouv. Rev. Opt. Appl. <b>1<\/b>,<br \/>\n3-22 (1970).<\/div>\n<p STYLE=\"margin-bottom: 0cm\">[6] H. Delouis, Th&egrave;se d&#8217;Etat, Universit&eacute;<br \/>\nParis XI Orsay (1973).<\/p>\n<p STYLE=\"margin-bottom: 0cm\">[7] Th. Udem, J. Reichert, R. Holwarth, T.W.<br \/>\nHansch, Phys. Rev. Lett. <b>82<\/b>, 3568-3571 (1999).<\/p>\n<p STYLE=\"margin-bottom: 0cm\">[8] G. Guelachvili, Th&egrave;se d&#8217;Etat,<br \/>\nUniversit&eacute; Paris XI Orsay (1973).<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; back to the welcome page back to LAC. homepage Direct access to the plates and tables I. 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