# Table B1: Complete version of Table 1 from "Keck telescope # constraint on cosmological variation of the proton-to-electron mass # ratio" by Malec A.L., Buning R., Murphy M.T, Milutinovic N., Ellison # S.L., Prochaska J.X., Kaper L., Tumlinson J., Carswell R.F., Ubachs # W., Mon. Not. R. Soc. Astron., accepted (Dec. 2009). # # Catalogue of the most accurate and precise laboratory parameters for # fitting molecular hydrogen (H_2) absorptions lines. Represented are # all allowed Lyman and Werner H_2 transitions between the lowest 8 # rotational levels in the ground and excited states with excited # state vibrational quantum numbers up to 20 and 6 for Lyman and # Werner transitions, respectively. The first column provides a # short-hand notation for the transition: letters denote a Lyman (L) # or Werner (W) line and the branch, where P, Q and R represent J' - J # = -1, 0 and 1, respectively, for J and J' the ground state and # excited state J-levels, respectively; the first integer is the # excited state vibrational quantum number and the second is J. The # second column gives the most precise reported laboratory wavelength # and its 1-sigma uncertainty is given in the third column (both are # in Angstroms); the fourth column provides the reference: # # 1 = Bailly, Salumbides, Vervloet, Ubachs (2009, Mol. Phys., # accepted), # # 2 = Ubachs, Buning, Eikema, Reinhold (2007, J. Molecular Spectrosc., # 241, 155) (a suffix ``a'' refers to directly measured wavelengths # while ``b'' refers to wavelengths calculated from directly measured # lines via combination differences) and # # 3 = Abgrall, Roueff, Launay, Roncin, Subtil (1993, J. Molecular # Spectrosc., 157, 512) for the excited state energy levels with # ground states derived directly from Jennings, Bragg, Brault (1984, # ApJ, 282, L85). # # Note that wavelengths with reference 3 are much less precise than # those from references 1 and 2. The fifth column gives the oscillator # strengths which were calculated from the Einstein A coefficients # given by Abgrall, Roueff, Launay, Roncin (1994, Canadian J. Phys., # 72, 856). The sixth column gives the (natural) damping coefficients # in seconds^{-1} which were calculated from the total transition # probabilities (A_t) in Abgrall, Roueff, Drira (2000, # Astron. Astrophys. Suppl., 141, 297). The final column gives the # sensitivity coefficients calculated in Ubachs, Buning, Eikema, # Reinhold (2007, J. Molecular Spectrosc., 241, 155) which have # estimated uncertainties of typically <5x10^{-4} (see main text). # # Trans lambda_lab sig_lambda Ref f Gamma K L0P1 1110.062558 0.000003 1 0.000573914 1.87E+9 -0.00973852 L0P2 1112.495989 0.000003 1 0.000691459 1.86E+9 -0.01190946 L0P3 1115.895530 0.000003 1 0.000738064 1.86E+9 -0.01491660 L0P4 1120.248839 0.000003 1 0.000755955 1.85E+9 -0.01872438 L0P5 1125.540690 0.000005 1 0.000757692 1.84E+9 -0.02329085 L0P6 1131.753504 0.000006 1 0.000748072 1.83E+9 -0.02857077 L0P7 1151.6384 0.0014 3 0.000729867 1.82E+9 -0.03451983 L0R0 1108.127317 0.000002 1 0.00166457 1.86E+9 -0.00800319 L0R1 1108.633244 0.000003 1 0.001077 1.86E+9 -0.00846231 L0R2 1110.120562 0.000003 1 0.000932201 1.85E+9 -0.00980419 L0R3 1112.583944 0.000005 1 0.000846784 1.84E+9 -0.01201537 L0R4 1116.014618 0.000007 1 0.000777988 1.83E+9 -0.01507444 L0R5 1120.400623 0.000005 1 0.000715714 1.82E+9 -0.01895450 L0R6 1125.727077 0.000005 1 0.000656326 1.80E+9 -0.02362649 L1P1 1094.051949 0.000003 1 0.00196852 1.74E+9 -0.00259287 L1P2 1096.438914 0.000005 1 0.00236713 1.74E+9 -0.00474693 L1P3 1099.787177 0.000005 1 0.00252569 1.73E+9 -0.00774742 L1P4 1104.083933 0.000007 1 0.00259547 1.73E+9 -0.01155644 L1P5 1109.313238 0.000004 1 0.00261585 1.72E+9 -0.01612812 L1P6 1115.456467 0.000005 1 0.00260431 1.71E+9 -0.02141170 L1P7 1134.8965 0.0013 3 0.00256861 1.70E+9 -0.02735538 L1R0 1092.195201 0.000004 1 0.00578358 1.74E+9 -0.00092454 L1R1 1092.732382 0.000004 1 0.00378015 1.73E+9 -0.00143170 L1R2 1094.244560 0.000007 1 0.0033148 1.73E+9 -0.00282772 L1R3 1096.725316 0.000004 1 0.00305571 1.72E+9 -0.00509470 L1R4 1100.164528 0.000007 1 0.0028543 1.71E+9 -0.00820532 L1R5 1104.548705 0.000005 1 0.00267606 1.70E+9 -0.01212508 L1R6 1109.861422 0.000008 1 0.0025058 1.68E+9 -0.01681549 L2P1 1078.925400 0.000003 1 0.00392257 1.63E+9 0.00397218 L2P2 1081.265950 0.000004 1 0.00469983 1.63E+9 0.00183764 L2P3 1084.560256 0.000003 1 0.00500946 1.63E+9 -0.00114925 L2P4 1088.795369 0.000004 1 0.00515046 1.62E+9 -0.00494895 L2P5 1093.954976 0.000003 1 0.00520673 1.61E+9 -0.00951288 L2P6 1100.019972 0.000005 1 0.00520974 1.60E+9 -0.01478632 L2P7 1119.0297 0.0013 3 0.00517602 1.59E+9 -0.02071215 L2R0 1077.138656 0.000003 1 0.0116679 1.63E+9 0.00558220 L2R1 1077.698852 0.000003 1 0.00769324 1.63E+9 0.00503784 L2R2 1079.225425 0.000004 1 0.00681799 1.62E+9 0.00360188 L2R3 1081.711274 0.000003 1 0.00636247 1.61E+9 0.00129543 L2R4 1085.145527 0.000005 1 0.00603064 1.60E+9 -0.00184988 L2R5 1089.513848 0.000005 1 0.00573951 1.59E+9 -0.00579408 L2R6 1094.798877 0.000005 1 0.00546325 1.58E+9 -0.01049178 L3P1 1064.605318 0.000004 1 0.00594138 1.54E+9 0.01000951 L3P2 1066.900633 0.000004 1 0.00709045 1.53E+9 0.00789541 L3P3 1070.140818 0.000003 1 0.00753828 1.53E+9 0.00492550 L3P4 1074.312899 0.000005 1 0.00774358 1.53E+9 0.00114033 L3P5 1079.400450 0.000004 1 0.00783446 1.52E+9 -0.00340979 L3P6 1085.384151 0.000006 1 0.0078606 1.51E+9 -0.00866755 L3P7 1103.9823 0.0013 3 0.00784325 1.50E+9 -0.01457227 L3R0 1062.882074 0.000004 1 0.0178952 1.53E+9 0.01156759 L3R1 1063.460086 0.000003 1 0.0119024 1.53E+9 0.01099293 L3R2 1064.994759 0.000004 1 0.0106482 1.53E+9 0.00952560 L3R3 1067.478598 0.000004 1 0.0100421 1.52E+9 0.00718891 L3R4 1070.900286 0.000006 1 0.00962639 1.51E+9 0.00401739 L3R5 1075.244947 0.000006 1 0.00928142 1.50E+9 0.00005478 L3R6 1080.494745 0.000024 1 0.00895452 1.49E+9 -0.00464885 L4P1 1051.032451 0.000005 1 0.00760153 1.45E+9 0.01555697 L4P2 1053.284210 0.000004 1 0.00902223 1.45E+9 0.01346322 L4P3 1056.471373 0.000003 1 0.00955567 1.45E+9 0.01051153 L4P4 1060.580970 0.000004 1 0.00979364 1.44E+9 0.00674295 L4P5 1065.596570 0.000004 1 0.00990006 1.43E+9 0.00220871 L4P6 1071.498770 0.000005 1 0.0099386 1.43E+9 -0.00303240 L4P7 1089.7065 0.0012 3 0.00994149 1.42E+9 -0.00891760 L4R0 1049.367383 0.000004 1 0.0231929 1.45E+9 0.01706801 L4R1 1049.959704 0.000003 1 0.0155494 1.45E+9 0.01646751 L4R2 1051.498512 0.000004 1 0.0140303 1.44E+9 0.01497399 L4R3 1053.976051 0.000004 1 0.0133569 1.43E+9 0.01261209 L4R4 1057.380706 0.000007 1 0.0129372 1.43E+9 0.00941815 L4R5 1061.697413 0.000005 1 0.0126059 1.42E+9 0.00543822 L4R6 1066.907971 0.000034 1 0.0123026 1.41E+9 0.00072530 L5P1 1038.157044 0.000004 1 0.00866057 1.37E+9 0.02064400 L5P2 1040.367202 0.000003 1 0.0102228 1.37E+9 0.01856997 L5P3 1043.503090 0.000004 1 0.0107672 1.37E+9 0.01563663 L5P4 1047.551786 0.000004 1 0.0109902 1.36E+9 0.01188511 L5P5 1052.496918 0.000004 1 0.0110794 1.36E+9 0.00736695 L5P6 1058.319102 0.000009 1 0.0111122 1.35E+9 0.00214153 L5P7 1076.1556 0.0012 3 0.0111219 1.34E+9 -0.00372739 L5R0 1036.545680 0.000002 1 0.0268337 1.37E+9 0.02211196 L5R1 1037.149822 0.000003 1 0.0181342 1.37E+9 0.02148875 L5R2 1038.690179 0.000003 1 0.016503 1.36E+9 0.01997239 L5R3 1041.158832 0.000004 1 0.0158464 1.36E+9 0.01758824 L5R4 1044.543977 0.000005 1 0.0154839 1.35E+9 0.01437358 L5R5 1048.830369 0.000005 1 0.0152277 1.34E+9 0.01037564 L5R6 1053.9987 0.0012 3 0.0150045 1.33E+9 0.00564897 L6P1 1025.935181 0.000006 1 0.0090943 1.30E+9 0.02529614 L6P2 1028.105875 0.000007 1 0.0106298 1.30E+9 0.02324105 L6P3 1031.192672 0.000004 1 0.0111102 1.30E+9 0.02032577 L6P4 1035.182762 0.000005 1 0.0112657 1.29E+9 0.01659124 L6P5 1040.059726 0.000004 1 0.0113034 1.29E+9 0.01208886 L6P6 1045.804318 0.000005 1 0.0113046 1.28E+9 0.00687799 L6P7 1063.2888 0.0012 3 0.0113078 1.27E+9 0.00102254 L6R0 1024.373738 0.000006 1 0.0287085 1.30E+9 0.02672449 L6R1 1024.987976 0.000003 1 0.0195752 1.30E+9 0.02608105 L6R2 1026.528323 0.000005 1 0.0179656 1.29E+9 0.02454448 L6R3 1028.986607 0.000004 1 0.0173884 1.29E+9 0.02214038 L6R4 1032.350972 0.000008 1 0.0171203 1.28E+9 0.01890632 L6R5 1036.60473 0.00002 1 0.0169652 1.27E+9 0.01488993 L6R6 1041.734691 0.000054 1 0.0168443 1.26E+9 0.01014630 L7P1 1014.327128 0.000006 1 0.00898222 1.24E+9 0.02953792 L7P2 1016.461136 0.000005 1 0.0102323 1.24E+9 0.02750099 L7P3 1019.502139 0.000003 1 0.0104758 1.23E+9 0.02460346 L7P4 1023.436799 0.000005 1 0.0104924 1.23E+9 0.02088590 L7P5 1028.248570 0.000004 1 0.0104684 1.22E+9 0.01639930 L7P6 1033.918239 0.000021 1 0.0104606 1.22E+9 0.01120261 L7P7 1051.0715 0.0012 3 0.0104866 1.21E+9 0.00535938 L7R0 1012.812914 0.000004 1 0.029702 1.24E+9 0.03092982 L7R1 1013.436916 0.000002 1 0.0205043 1.23E+9 0.03026841 L7R2 1014.976843 0.000005 1 0.0189365 1.23E+9 0.02871411 L7R3 1017.424212 0.000004 1 0.0183845 1.22E+9 0.02629246 L7R4 1020.767035 0.000011 1 0.0181358 1.22E+9 0.02304091 L7R5 1024.990170 0.000011 1 0.0180093 1.21E+9 0.01900700 L7R6 1030.0736 0.0011 3 0.017934 1.20E+9 0.01424573 L8P1 1003.296508 0.000005 1 0.00846599 1.18E+9 0.03339412 L8P2 1005.393086 0.000005 1 0.00991071 1.18E+9 0.03137464 L8P3 1008.386075 0.000003 1 0.0104293 1.17E+9 0.02849467 L8P4 1012.262348 0.000005 1 0.0107544 1.17E+9 0.02479431 L8P5 1017.004186 0.000005 1 0.0112202 1.17E+9 0.02029474 L8P6 1022.585960 0.000021 1 0.0125592 1.16E+9 0.01498634 L8P7 1039.2104 0.0011 3 0.023255 1.17E+9 -0.00116452 L8R0 1001.823741 0.000004 1 0.0267679 1.18E+9 0.03475253 L8R1 1002.452009 0.000003 1 0.0182317 1.17E+9 0.03407534 L8R2 1003.985377 0.000005 1 0.0166161 1.17E+9 0.03250586 L8R3 1006.414053 0.000005 1 0.0157143 1.17E+9 0.03004038 L8R4 1009.71969 0.00002 1 0.0141081 1.16E+9 0.02664915 L8R5 1013.7065 0.0011 3 0.00116013 1.17E+9 0.01243063 L8R6 1019.0189 0.0011 3 0.0204951 1.14E+9 0.01766495 L9P1 992.809625 0.000004 1 0.00769885 1.12E+9 0.03688977 L9P2 994.874026 0.000006 1 0.00865918 1.12E+9 0.03488711 L9P3 997.827121 0.000003 1 0.00876095 1.12E+9 0.03202454 L9P4 1001.655682 0.000005 1 0.00869116 1.12E+9 0.02834180 L9P5 1006.343184 0.000003 1 0.00863341 1.11E+9 0.02388888 L9P6 1011.870513 0.000050 1 0.00864503 1.11E+9 0.01872364 L9P7 1028.4114 0.0011 3 0.00875861 1.10E+9 0.01290853 L9R0 991.378851 0.000005 1 0.0261242 1.12E+9 0.03821743 L9R1 992.016320 0.000002 1 0.0182598 1.12E+9 0.03752654 L9R2 993.550563 0.000005 1 0.0170432 1.12E+9 0.03594442 L9R3 995.972783 0.000003 1 0.0166863 1.11E+9 0.03349627 L9R4 999.270807 0.000005 1 0.0165603 1.11E+9 0.03021901 L9R5 1003.4284 0.0011 3 0.0164978 1.10E+9 0.02615952 L9R6 1008.4289 0.0011 3 0.0164072 1.09E+9 0.02137208 L10P1 982.835296 0.000005 1 0.0068112 1.07E+9 0.04004930 L10P2 984.864026 0.000007 1 0.00817085 1.07E+9 0.03806275 L10P3 987.768823 0.000004 1 0.00892793 1.07E+9 0.03515959 L10P4 991.533853 0.000006 1 0.00991957 1.07E+9 0.03138155 L10P5 996.124697 0.000006 1 0.0127433 1.07E+9 0.02610094 L10P6 1001.9117 0.0011 3 0.000262827 1.09E+9 0.00917942 L10P7 1017.9765 0.0011 3 0.00373993 1.05E+9 0.01492525 L10R0 981.438709 0.000007 1 0.0206903 1.07E+9 0.04134865 L10R1 982.074245 0.000004 1 0.0136447 1.07E+9 0.04058840 L10R2 983.591063 0.000005 1 0.0115741 1.07E+9 0.03888367 L10R3 985.962767 0.000006 1 0.00827655 1.07E+9 0.03558931 L10R4 989.55727 0.00098 3 0.0310766 1.09E+9 0.02068108 L10R5 993.49192 0.00099 3 0.0201634 1.05E+9 0.02801621 L10R6 998.42833 0.00100 3 0.0178819 1.04E+9 0.02399851 L11P1 973.344571 0.000006 1 0.00589912 1.03E+9 0.04289516 L11P2 975.345771 0.000008 1 0.0066437 1.02E+9 0.04092386 L11P3 978.218030 0.000003 1 0.00673539 1.02E+9 0.03809495 L11P4 981.948441 0.000003 1 0.00670767 1.02E+9 0.03444786 L11P5 986.520717 0.000004 1 0.00671492 1.02E+9 0.03003235 L11P6 991.915746 0.000017 1 0.00683092 1.01E+9 0.02490619 L11P7 998.111832 0.000073 2b 0.00712953 1.01E+9 0.01913197 L11R0 971.986230 0.000008 1 0.020043 1.02E+9 0.04416825 L11R1 972.632731 0.000003 1 0.0140478 1.02E+9 0.04345479 L11R2 974.157875 0.000002 1 0.0131537 1.02E+9 0.04185365 L11R3 976.552811 0.000004 1 0.0128986 1.02E+9 0.03939034 L11R4 979.80509 0.00002 1 0.0127815 1.01E+9 0.03610218 L11R5 983.898956 0.000068 2a 0.0126202 1.01E+9 0.03203650 L11R6 988.81351 0.00098 3 0.0122149 1.00E+9 0.02724831 L12P1 964.310524 0.000006 1 0.00502802 9.82E+8 0.04544644 L12P2 966.275434 0.000009 1 0.00649635 9.82E+8 0.04340505 L12P3 969.089768 0.000004 1 0.00816003 9.83E+8 0.04022253 L12P4 972.69064 0.00003 1 0.0135586 1.00E+9 0.03305977 L12P5 977.463601 0.000005 1 0.000364005 9.94E+8 0.02751866 L12P6 982.726751 0.000011 1 0.00257392 9.72E+8 0.02634450 L12P7 988.838329 0.000091 2b 0.00358014 9.64E+8 0.02121293 L12R0 962.977981 0.000008 1 0.0131586 9.82E+8 0.04661091 L12R1 963.607928 0.000003 1 0.00707397 9.83E+8 0.04552063 L12R2 965.04571 0.00003 1 0.00158292 1.00E+9 0.04040726 L12R3 967.676976 0.000005 1 0.0227601 9.94E+8 0.03681687 L12R4 970.838045 0.000010 1 0.0160389 9.72E+8 0.03742072 L12R5 974.886485 0.000086 2a 0.0142339 9.64E+8 0.03396998 L12R6 979.76132 0.00096 3 0.01352 9.58E+8 0.02940565 L13P1 955.708153 0.000009 1 0.00422758 9.41E+8 0.04771815 L13P2 957.652228 0.000009 1 0.00480776 9.40E+8 0.04577359 L13P3 960.450567 0.000005 1 0.00493219 9.39E+8 0.04297335 L13P4 964.09079 0.00002 1 0.00498546 9.37E+8 0.03935778 L13P5 968.556580 0.000007 1 0.00509638 9.33E+8 0.03497826 L13P6 973.828541 0.000020 1 0.00536302 9.30E+8 0.02989496 L13P7 989.31987 0.00098 3 0.00595954 9.26E+8 0.02417375 L13R0 954.413268 0.000009 1 0.0141587 9.40E+8 0.04894292 L13R1 955.065759 0.000005 1 0.00988009 9.39E+8 0.04820903 L13R2 956.579917 0.000018 1 0.00921098 9.37E+8 0.04659168 L13R3 958.946624 0.000007 1 0.00896715 9.33E+8 0.04411846 L13R4 962.15273 0.00006 1 0.00875105 9.30E+8 0.04082942 L13R5 966.17871 0.00094 3 0.00832436 9.26E+8 0.03677543 L13R6 970.99762 0.00095 3 0.00711421 9.25E+8 0.03201589 L14P1 947.514033 0.000099 2a 0.00352235 9.03E+8 0.04972156 L14P2 949.352458 0.000100 2b 0.00928258 9.71E+8 0.03930819 L14P3 952.274166 0.000100 2b 0.000657805 9.27E+8 0.04104973 L14P4 955.854830 0.000061 2b 0.00169072 9.07E+8 0.03998528 L14P5 960.26564 0.00093 3 0.00224404 8.99E+8 0.03624932 L14P6 965.48139 0.00094 3 0.00261446 8.93E+8 0.03144234 L14P7 980.75837 0.00097 3 0.00292951 8.88E+8 0.02588968 L14R0 946.169306 0.000099 2a 0.00133958 9.71E+8 0.04247182 L14R1 946.980395 0.000099 2a 0.0196578 9.27E+8 0.04625180 L14R2 948.47125 0.00006 2a 0.0129431 9.07E+8 0.04715304 L14R3 950.81869 0.00091 3 0.0109208 8.99E+8 0.04529959 L14R4 954.00391 0.00092 3 0.0100543 8.93E+8 0.04226582 L14R5 958.01140 0.00092 3 0.00961679 8.88E+8 0.03836088 L14R6 962.82129 0.00093 3 0.00935859 8.83E+8 0.03368526 L15P1 939.706716 0.000098 2a 0.00291382 8.68E+8 0.05146650 L15P2 941.599214 0.000098 2b 0.00336792 8.67E+8 0.04954168 L15P3 944.33046 0.00006 2a 0.00352469 8.66E+8 0.04676022 L15P4 947.887847 0.000061 2b 0.00365429 8.64E+8 0.04316527 L15P5 952.254963 0.000062 2b 0.00387851 8.62E+8 0.03881266 L15P6 957.410209 0.000063 2b 0.00435348 8.61E+8 0.03376881 L15P7 972.44061 0.00095 3 0.00558134 8.62E+8 0.02810778 L15R0 938.467757 0.000097 2a 0.00951063 8.67E+8 0.05264552 L15R1 939.124212 0.000098 2a 0.0065582 8.66E+8 0.05188763 L15R2 940.62637 0.00006 2a 0.00602792 8.64E+8 0.05024936 L15R3 942.96422 0.00006 2a 0.00573822 8.62E+8 0.04776314 L15R4 946.12271 0.00006 2a 0.00533399 8.61E+8 0.04447549 L15R5 950.07344 0.00091 3 0.00436762 8.62E+8 0.04044555 L15R6 954.70212 0.00092 3 0.00114293 9.01E+8 0.03574293 L16P1 932.266208 0.000096 2a 0.00239836 8.35E+8 0.05296626 L16P2 934.144795 0.000097 2b 0.00223943 8.36E+8 0.05084687 L16P3 936.857092 0.000097 2b 0.00204989 8.35E+8 0.04791941 L16P4 940.387542 0.000098 2b 0.00199323 8.33E+8 0.04428935 L16P5 944.72052 0.00090 3 0.00203185 8.30E+8 0.03996189 L16P6 949.83996 0.00091 3 0.00213559 8.27E+8 0.03495694 L16P7 964.70461 0.00094 3 0.00230595 8.23E+8 0.02937510 L16R0 931.062642 0.000096 2a 0.0106711 8.36E+8 0.05392193 L16R1 931.732882 0.000096 2a 0.00753127 8.35E+8 0.05300015 L16R2 933.240091 0.000096 2a 0.006886 8.33E+8 0.05130933 L16R3 935.57550 0.00088 3 0.00657153 8.30E+8 0.04883117 L16R4 938.72921 0.00089 3 0.006378 8.27E+8 0.04556605 L16R5 942.68787 0.00089 3 0.00623818 8.23E+8 0.04159919 L16R6 947.43378 0.00090 3 0.00609298 8.18E+8 0.03696031 L17P1 925.174530 0.000095 2a 0.0019672 8.04E+8 0.05424593 L17P2 927.020019 0.000095 2b 0.00232754 8.04E+8 0.05233481 L17P3 929.689572 0.000096 2b 0.00250827 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