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Journal of Research of the National Bureau of Standards. Section A, Physics and Chemistry logoLink to Journal of Research of the National Bureau of Standards. Section A, Physics and Chemistry
. 1969 May-Jun;73A(3):333–381. doi: 10.6028/jres.073A.029

The Third Spectrum of Praseodymium (Pr iii) in the Vacuum Ultraviolet

Jack Sugar 1
PMCID: PMC6728461  PMID: 31929635

Abstract

Measurements of the spectrum of doubly ionized praseodymium from 821 to 2103 Å are given. One hundred fifty-three energy levels deduced from these wavelengths and an earlier line-list of longer wavelengths are presented. These levels are identified with the configurations 4f26s, 4f27s, 4f28s, 4f26p, 4f26d, 4f25f, 5d24f, and 4f5d6s and are given term designations. Radial energy integrals belonging to these configurations are parametrically deduced from the known levels.

A value of 21.625 eV (174420 cm−1) for the ionization energy of Pr iii, with an estimated uncertainty of 0.016 eV (130 cm−1), is derived from the 4f2ns series (n = 6, 7, 8).

Keywords: Energy levels, interaction parameters, praseodymium, third spectrum, vacuum ultraviolet, wavelengths

1. Introduction

The analysis of Pr iii in the wavelength range from 2025 to 10716 Å [1,2]1 revealed nearly completely the energy level structure of the four low-lying configurations 4f3, 4f25d, 4f26s, and 4f26p, and some levels of 5d24f and 4f26d. I have extended the observations to shorter wavelengths and measured 2948 lines in the range from 821 to 2103 Å. These new data have led to a considerable increase in the number of known levels of the 5d24f configuration and to the discovery of levels belonging to the 4f5d6s, 4f25f, and 4f28s configurations. In addition, a reexamination of the old line-list yielded more levels of the configurations 4f26s, 4f26d, and 4f27s. In all, 153 energy levels of Pr iii have been newly established.

The configurations to which they belong were treated theoretically for the purpose of determining parametrically the radial energy integrals and of calculating the level positions and eigenvectors. These calculations helped to confirm the experimental results and to locate unknown levels, as well as to provide an interpretation of the configurations in the most appropriate coupling schemes.

Of particular interest are the mutually interacting odd configurations 4f26p, 5d24f, and 4f5d6s, which were treated as one complex. Many levels are strongly perturbed and were found to contain large percentages of terms of several configurations. In the 5d24f configuration the addition of an “effective” two-body configuration interaction parameter for nonequivalent electrons decreased the rms error of the calculation by 25 percent.

The ionization energy of Pr iii was calculated in ref. 2 by means of tentatively identified 4f26d levels to form 4f2(3H)nd (n = 5, 6) series. The new analysis provides the 4f2(3H)ns series (n = 6, 7, 8) with which to determine a more reliable value.

Three levels given in reference 2 which were found to be poorly substantiated and have now been discarded are listed below:

Rejected levels J Config. New levels
45848.37 cm−1 212 4f26s 45807.16 cm−1
68676.55 cm−1 212 4f26p
79378.43 cm−1 212 4f26p 79366.69 cm−1

2. Observations

For the most part, the procedure outlined in reference 2 for obtaining the spectrum Pr iii has been followed. The sliding spark was operated at peak currents of 50 and 500 A to enhance the third and fourth spectra selectively. I departed from the earlier method of producing the second spectrum by means of an arc. Instead a 6 A sliding spark was used which gave a more clear-cut distinction between second and third spectra when compared with the 50 A spark, as well as sharper lines. This technique has already been used in the classification of Ce iii [3].

The new extension of the observations of Pr iii to shorter wavelengths was made with a 10.3 m Eagle vacuum spectrograph, utilizing a grating of 1200 grooves/mm blazed at 1200 Ă. The first order of diffraction was photographed, giving a reciprocal dispersion of 0.78 Å/mm. One half to 2 hr exposures were required to record the spectrum of the spark, operating at a repetition rate of 15 sparks per second. Calibration spectra of C, N. O, Ar, Si, Ge, and Cu [4, 5, 6, 7, 8] were obtained from pulsed rf-excited electrodeless lamps and hollow cathode discharges.

Two to five measurements of the lines in the 50 A spark were made, the number depending on the recurrence of a line on progressively weaker exposures. From the variation of wavelengths obtained with different exposures the accuracy of the final values is estimated to be ±0.004 Å. Systematic shifts between the various sets of measurements were removed by standardizing on wavelengths of internal impurities of C, N, O, and Si.

The new measurements overlap the previous list [1] in the region from 2000 to 2103 Å and considerably augment it, thus indicating that stronger exposures may be needed beyond this overlap. Lines of intensity designated as 1 in the old list are usually assigned 200 in the new list, and the other common lines are correspondingly stronger.

A complete tabulation of the newly observed lines appears in table X. The wavelengths given in the first column are the values in vacuum. Following this are the visually estimated intensities with the following descriptive notations:

  • cl = measurement affected by a close neighboring line,

  • bl = a blend of two or more lines,

  • h = hazy,

  • w = wide.

Under “classification” appear the two energy levels from which the line originates, followed by a subscript J-value, and where appropriate a superscript degree mark representing odd parity. Double classifications of lines are given without repeating the wavelength.

Table X.

Observed spectral lines of Pr iii in the vacuum ultra violet region

λvac
Å
Intensity σ
(cm−1)
Classificationa λvac
Å
Intensity σ
(cm-I)
Classificationa
2103.455 3 47540.8 238449/2−71385°7/2 2085.148 2 47958.2
2102.907 20 47553.2 2084.954 10 47962.7
2102.492 3 47562.6 2084.699 3 47968.5 235325/2− 71501°3/2
2101.877 10 47576.5 254097/2− 73378°7/2
2101.778 100 47578.8 2344211/2− 71021°9/2 2084.344 60 47976.7 145589/2− 62535°9/2
2101.651 2 47581.6 2083.504 1 47996.1 250339/2− 73029°9/2
2099.948 5 47620.2 254097/2− 73029°9/2 2083.412 1 47998.2 198727/2− 67870°9/2
2099.757 50 47624.6 2083.123 400 48004.8 1335211/2− 61357°9/2
2099.757 50 47624.6 292675/2− 76892°3/2 2082.879 2 48010.5
2099.402 200 47632.6 161357/2− 63768°7/2 2082.810 3 48012.1 214185/2− 69431°7/2
2098.974 3 47642.3 2082.653 3 48015.7
2098.903 20 47643.9 208485/2− 68492°7/2 2081.788 2 48035.6 276049/2− 75640°11/2
2098.523 100 47652.6 2175511/2− 69408°11/2 2080.866 1 48056.9
2098.275 5 47658.2 264467/2− 74105°5/2 2080.280 30 48070.4 216115/2− 69681°5/2
2097.806 100 47668.8 176279/2 − 65295°7/2 2079.497 100 48088.6 2364713/2− 71736°11/2
2097.601 1000 47673.5 128469/2− 60520°7/2 2079.441 300 48089.8 1930811/2− 67398°9/2
2097.513 500 47675.5 1485911/2− 62535°9/2 2079.020 1 48099.6 161357/2− 64235°9/2
2097.284 20 47680.7 1824111/2− 65922°11/2 2078.645 20 48108.3 274525/2− 75560°5/2
2097.234 100 47681.8 145589/2− 62240°11/2 2078.489 20 48111.9 312547/2− 79366°5/2
2097.160 40 47683.5 212947/2− 68978°5/2 2078.426 3 48113.3
2097.075 5 47685.5 243093/2− 71994°5/2 2077.544 60 48133.8 238449/2− 71978°7/2
2096.985 5 47687.5 2077.450 40 48135.9 212947/2− 69431°7/2
2096.890 5 47689.7 276049/2− 75294°7/2 2077.337 3 48138.6 208485/2− 68987°7/2
2096.832 200 47691.0 189907/2− 66681°5/2 2076.841 200 48150.0 2344211/2− 71592°9/2
2096.787 6 47692.0 212947/2− 68987°7/2 2076.505 3 48157.8 276049/2− 75762°9/2
2096.496 400 47698.6 1485911/2− 62558°11/2 2076.358 100 48161.2 458059/2− 93967°7/2
2094.953 20 47733.8 236517/2− 71385°7/2 2075.991 300 48169.8 1970011/2− 67870°9/2
2094.676 400 47740.1 1930811/2− 67049°9/2 2075.747 500 48175.4 150455/2− 63221°3/2
2094.155 4000 47752.0 1711313/2− 64865°11/2 2074.851 5 48196.2
2093.909 5 47757.6 2073.739 20 48222.1 2175511/2− 69978°11/2
2093.424 40 47768.6 2073.462 200 48228.5 203159/2− 68544°9/2
2092.509 10 47789.5 2073.215 3 48234.3
2091.826 30 47805.1 201603/2− 67965°3/2 2072.886 10 48241.9 247889/2− 730299/2°
2091.758 20 47806.7 198727/2− 67679°7/2 2072.580 15 48249.0
2091.411 4000 47814.6 1892115/2− 66735°13/2 2072.534 400 48250.1 189907/2− 67240°7/2
2091.238 100 47818.6 1485911/2− 62678°13/2 2071.991 80 48262.8 214185/2− 69681°5/2
2090.153 20 47843.4 212947/2− 69138°9/2 2071.533 5 48273.4 227479/2− 71021°9/2
2089.744 1 47852.7 235325/2− 71385°7/2 2070.768 50 48291.3 1552511/2− 63816°11/2
2089.473 10 47859.0 180639/2− 65922°11/2 2070.649 200 48294.0 2344211/2− 71736°11/2
2089.306 5 47862.8 189907/2− 66852°7/2 2070.338 50 48301.3 165167/2− 64817°5/2
2088.848 2 47873.3 215359/2− 69408°11/2 2070.042 400 48308.2 176279/2− 65935°7/2
2088.769 10 47875.1 322883/2− 80164°3/2 2069.258 50 48326.5 236517/2− 71978°7/2
2088.632 10 47878.2 2068.559 30 48342.8 236517/2− 71994°5/2
2088.346 400 47884.8 165167/2− 64401°5/2 2068.261 200 48349.8 398709/2− 88220°9/2
2088.042 5 47891.8 238449/2− 71736°11/2 2067.712 200 48362.6 1545413/2− 63816°11/2
2087.387 4 47906.8 1824111/2− 66148°13/2 2067.034 200 48378.5
2087.300 4 47908.8 2066.270 10 48396.4
2087.200 4 47911.1 2065.895 300 48405.2 189907/2− 67395°5/2
2086.712 10 47922.3 203159/2− 68238°11/2 2065.177 5 48422.0 211387/2− 75560°5/2
2085.246 30 47956.0 289363/2− 76892°3/2 2064.736 1000 48432.3 1753415/2− 65967°13/2
2064.291 2 48442.8 215359/2− 69978°11/2 2048.425 10 48818.0 201603/2− 68978°5/2
2064.176 10 48445.5 235325/2− 71978°7/2 2048.148 100 48824.6 1970011/2− 68525°11/2
2063.966 5 48450.4 230503/2− 71501°3/2 2047.788 20 48833.2 208485/2− 69681°5/2
2063.765 2 48455.1 2047.369 80 48843.2 1970011/2− 68544°9/2
2063.592 1 48459.2 198727/2− 68331°7/2 2047.331 1 48844.1
2063.478 3 48461.9 235325/2− 71994°5/2 2047.208 2 48847.0 264467/2− 75294°7/2
2063.161 4 48469.3 182115/2− 66681°5/2 2046.923 70 48853.8 1711313/2− 65967°13/2
2062.870 200 48476.2 271387/2− 75614°5/2 2046.754 10 48857.8 225277/2− 71385°7/2
2062.457 200 48485.9 203159/2− 68801°7/2 2046.692 20 48859.3 298359/2− 78694°11/2
230503/2 71536°5/2 2046.390 10 48866.5
2061.421 80 48510.2 128469/2− 61357°9/2 2045.914 10 48877.9 1936013/2− 68238°11/2
2060.746 20 48526.1 2045.564 2 48886.3
2060.636 10 48528.7 259345/2− 74463°3/2 2045.465 200 48888.6 1335211/2− 62240°11/2
2060.569 30 48530.3 150455/2− 63576°5/2 2044.686 10 48907.3 244707/2− 73378°7/2
2060.054 1 48542.4 2044.070 1 48922.0
2059.891 10 48546.2 2043.773 500 48929.1 198727/2− 68801°7/2
2059.245 4000 48561.5 1930811/2− 67870°9/2 2043.103 50 48945.2 1936013/2− 68305°15/2
2058.796 60 48572.1 2042.616 400 48956.8 1485911/2− 63816°11/2
2058.663 30 48575.2 250339/2− 73609°11/2 2041.925 2 48973.4
2058.371 10 48582.1 358289/2− 84410°9/2 2039.381 200 49034.5 145589/2− 63593°9/2
2058.090 5 48588.7 2038.682 1 49051.3
2057.554 100 48601.4 358289/2− 84430°7/2 2038.366 1 49058.9
2057.042 10 48613.5 1753415/2− 66148°13/2 2037.578 3 49077.9
2056.771 5 48619.9 198727/2− 68492°7/2 2036.415 20cl 49105.9 198727/2− 68978°5/2
2056.545 30 48625.2 1552511/2− 64150°11/2 2036.103 1 49113.4
2056.409 30 48628.4 298359/2− 78463°7/2 2036.061 100 49114.4 198727/2− 68987°7/2
2056.326 100 48630.4 3050511/2− 79136°13/2 2035.210 10 49135.0
2054.597 50 48671.4 203159/2− 68987°7/2 2034.894 100 49142.6 2123813/2− 70381°13/2
2054.509 1000 48673.4 145589/2− 63232°7/2 2034.290 1 49157.2 1824111/2− 67398°9/2
2054.168 200 48681.5 161357/2− 64817°5/2 2034.186 7 49159.7 161357/2− 65295°7/2
2053.815 10 48689.9 1552511/2− 64215°13/2 2033.950 2000 49165.4 1936013/2− 68525°11/2
2053.531 1000 48696.6 1545413/2− 64150°11/2 2033.719 10 49171.0
2052.953 2000 48710.3 1335211/2− 62062°9/2 2033.478 40 49176.8 180639/2− 67240°7/2
1552511/2− 64235°9/2 2033.207 200 49183.4 1335211/2− 62535°9/2
2052.434 2 48722.6 150455/2− 63768°7/2 182115/2− 67395°5/2
2052.198 3 48728.2 2033.129 50 49185.3 238449/2− 73029°9/2
2052.131 3 48729.8 2033.015 100 49188.0 1711313/2− 66301°15/2
2052.078 10 48731.1 182115/2−66943°5/2 2032.480 200 49201.0 1753415/2− 66735°13/2
2052.045 1 48731.9 2032.253 400 49206.5 1335211/2− 62558°11/2
2051.988 100 48733.2 1485911/2− 63593°9/2 2032.117 1000 49209.8 145589/2− 63768°7/2
2051.736 200 48739.2 2123813/2− 69978°11/2 2031.865 400 49215.9 128469/2− 62062°9/2
2050.969 20 48757.4 2031.558 1 49223.3 222773/2− 71501°3/2
2050.911 10 48758.8 128469/2− 61605°7/2 2031.455 400 49225.8 176279/2− 66852°7/2
2050.812 400 48761.2 1545413/2− 64215°13/2 2031.256 10 49230.6 227479/2− 71978°7/2
2050.587 200 48766.5 1753415/2− 66301°15/2 2030.131 100 49257.9 145589/2− 63816°11/2
2050.036 20 48779.6 165167/2− 65295°7/2 2029.983 2 49261.5
2049.624 20 48789.4 180639/2− 66852°7/2 2029.814 7 49265.6 198727/2− 69138°9/2
2048.865 400 48807.5 1824111/2− 67049°9/2 2029.694 2 49268.5
2048.798 100 48809.1 1711313/2− 65922°11/2 2029.540 20 49272.2 351373/2− 84409°3/2
2048.630 1 48813.1 2029.192 300 49280.7
2028.959 2 49286.4 176279/2 – 67398°9/2
2028.926 5 49287.2 446797/2 – 93967°7/2 2009.107 40 49773.4 161357/2 – 65909°5/2
2028.780 100 49290.7 1485911/2 – 64150°11/2 2008.066 10 49799.2 161357/2 – 65935°7/2
2028.209 40 49304.6 220807/2 – 71385°7/2 2007.738 20 49807.3 180639/2 – 67870°9/2
2027.315 3 49326.3 1335211/2 – 62678°13/2 2006.763 1 49831.5
2027.194 40 49329.3 2006.565 36 49836.4 2175511/2 – 71592°9/2
2027.102 300 49331.5 1552511/2 – 64857°9/2 2006.072 10 49848.7
2026.948 10 49335.3 180639/2 – 67398°9/2 2005.817 30 49855.0 3050511/2 – 80360°11/2
2026.694 10 49341.4 189907/2 – 68331°7/2 2004.416 10 49889.8 216115/2 – 71501°3/2
2026.007 30 c l 49358.2 2003.908 20 49902.5
2025.296 30 49375.5 1485911/2 – 64235°9/2 2003.001 10 49925.1 216115/2 – 71536°5/2
2024.954 100 49383.8 1892115/2 – 68305°15/2 2002.296 2 49942.7
2024.812 2 49387.3 2001.839 1 49954.1
2024.573 20 cI 49393.1 165167/2 – 65909°11/2 2001.548 10 49961.3 2364713/2 – 73609°11/2
2024.540 400 49393.9 128469/2 – 62240°11/2 2001.441 40 49964.0
2024.298 70 49399.8 2001.049 5 49973.8 287209/2 – 78694°11/2
2023.848 10 49410.8 1545413/2 – 64865°11/2 2000.784 2 49980.4 2175511/2 – 71736°11/2
2023.390 10 49422.0 176279/2 – 67049°9/2 2000.587 200 49985.3 1970011/2 – 69686°9/2
2023.005 200 49431.4 2926313/2 – 78694°11/2 2000.462 20 49988.4 189907/2 – 68978°5/2
2022.766 70 49437.3 1970011/2 – 69138°9/2 2000.116 400 49997.1 1485911/2 – 64857°9/2
2022.370 3 49446.9 189907/2 – 68987°7/2
2022.027 1 49455.3 220807/2 – 71536°5/2 1999.902 30 50002.4 244615/2 – 74463°3/2
2021.544 50 49467.1 225277/2 – 71994°5/2 1999.795 100 50005.1 1485911/2 – 64865°11/2
2021.249 1 49474.4 1998.905 30 50027.4
2020.778 10 49485.9 215359/2 – 71021°9/2 1998.598 10 50035.1
2018.512 1 49541.4 1998.301 1 50042.5
2018.385 10 49544.6 2609511/2 – 75640°11/2 1998.064 400 50048.4 1936013/2 – 69408°11/2
2017.745 30 49560.3 298359/2 – 79395°7/2 1997.912 20 50052.2 176279/2 – 67679°7/2
2016.711 100 49585.7 1996.715 30 50082.3 214185/2 – 71501°3/2
2016.637 2 49587.5 2344211/2 – 73029°9/2 1996.423 3 50089.6
2016.463 1 49591.8 145589/2 – 64150°11/2 1996.023 5cl 50099.6 1930811/2 – 69408°11/2
2015.591 100 49613.2 176279/2 – 67240°7/2 1995.989 10 50100.5
2015.488 200 49615.8 180639/2 – 67679°7/2 1995.216 100 50119.9 182115/2 – 68331°7/2
2015.267 20 49621.2 292675/2 – 78889°3/2 1994.856 1 50128.9
2015.214 100 49622.5 1711313/2 – 66735°13/2 1994.692 400 50133.0 1824111/2 – 68374°9/2
2014.946 100 49629.1 1824111/2 – 67870°9/2 1994.027 20 50149.8 312547/2 – 81404°5/2
2014.405 2 49642.4 1993.422 300 c l 50165.0 165167/2 – 66681°5/2
2013.897 5 49655.0 1993.346 100 c l 50166.9 2344211/2 – 73609°11/2
2013.015 100 49676.7 145589/2 – 64235°9/2 1991.983 10 50201.2 215359/2 – 71736°11/2
2012.896 30 49679.7 259345/2 – 75614°5/2 1991.836 6 50204.9 254097/2 – 75614°5/2
2011.593 100 49711.8 128469/2 – 62558°11/2 1991.622 60 50210.3
2011.388 3 49716.9 222773/2 – 71994°5/2 1991.509 30 50213.2 242503/2 – 74463°3/2
2011.008 1 49726.3 212947/2 – 71021°9/2 1991.049 1 50224.8
236517/2 – 73378°7/2 1990.959 3 50227.0
2010.696 20 49734.0 1989.646 50 50260.2 250339/2 – 75294°7/2
20]0.339 80 49742.8 287209/2 – 78463°7/2 1989.319 300 50268.5 180639/2 – 68331°7/2
2009.905 80 49753.6 182115/2 – 67965°3/2 1988.770 6 50282.3 227479/2 – 73029°9/2
2009.579 40 49761.7 1988.707 2 50283.9 1824111/2 – 68525°11/2
2009.467 5 49764.4 238449/2 – 73609°11/2 1988.247 10 50295.6
2009.177 40 49771.6 150455/2 – 64817°5/2 1988.139 300 50298.3 145589/2 – 64857°9/2
1987.631 40 50311.2 180639/2 – 68374°9/2 1967.373 1 50829.2
1987.542 2 50313.4 1967.233 1 50832.8 244615/2 – 75294°7/2
1985.995 5 50352.6 211483/2 – 71501°3/2 1966.710 2 50846.3 211483/2 – 71994°5/2
254097/2 – 75762°9/2 1966.502 3 50851.7 247889/2 – 75640°11/2
1985.023 1 50377.2 1930811/2 – 69686°9/2 1966.208 40 50859.3 276049/2 – 78463°7/2
1984.870 10 50381.1 366525/2 – 87511°7/2
1984.698 20 50385.5 128469/2 – 63232°7/2 1965.970 80 50865.5 176279/2 – 68492°7/2
1984.380 4 50393.6 1965.346 1 50881.6
1984.348 2 c l 50394.4 1963.974 2 50917.2 176279/2 – 68544°9/2
1984.250 50 50396.9 1552511/2 – 65922°11/2 1963.911 2 50918.8
1983.311 10 50420.7 145589/2 – 64979°7/2 1963.786 100 c l 50922.0 128469/2 – 63768°7/2
1983.066 2 50427.0 165167/2 – 66943°5/2 1963.731 20 c l 50923.5 180639/2 – 68987°7/2
1982.981 300 50429.1 180639/2 – 68492°7/2 1963.401 100 50932.0
1982.785 2 50434.1 2317513/2 – 73609°11/2 1962.747 4 50949.0 220807/2 – 73029°9/2
1982.492 5 50441.6 1552511/2 – 65967°13/2 1962.418 10 50957.5 259345/2 – 76892°3/2
1982.428 1 50443.2 215359/2 – 71978°7/2 1961.929 200 50970.2 128469/2 – 63816°11/2
1981.580 100 50464.8 1335211/2 – 63816°11/2 1961.265 3 50987.5
1981.449 2 50468.1 1545413/2 – 65922°11/2 1960.735 10 51001.3
1981.140 4 50476.0 1959.961 30 51021.4 1936013/2 – 70381°13/2
1980.950 10 50480.8 180639/2 – 68544°9/2 1959.874 lObl 51023.7 458075/2 – 96830°7/2
1980.867 2 50483.0 3050511/2 – 80988°13/2 1958.687 2 51054.6 230503/2 – 74105°5/2
1980.287 200 50497.7 1958.387 100 51062.4 1485911/2 – 65922°11/2
1980.191 100 h 50500.2 384489/2 – 88948°9/2 1958.053 2 51071.1
1979.745 5bl 50511.6 1958.001 1 51072.5 1930811/2 – 70381°13/2
1979.692 20 50512.9 1545413/2 – 65967°13/2 1957.908 3 51074.9 180639/2 – 69138°9/2
1978.427 200 50545.2 161357/2 – 66681°5/2 1957.338 1 51089.8 244707/2 – 75560°5/2
1975.850 2 50611.1 176279/2 – 68238°11/2 1957.073 6 51096.7
1975.782 4 50612.9 1957.039 3 51097.6 2926313/2 – 80360°11/2
1975.582 200 50618.0 1936013/2 – 69978°11/2 1956.957 20 51099.7 244615/2 – 75560°5/2
1975.424 3 50622.0 1956.672 5 51107.2 1485911/2 – 65967°13/2
1973.849 3 50662.4 1955.992 15 51124.9 1711313/2 – 68238°11/2
1973.590 2 50669.1 1930811/2 – 69978°11/2 1955.521 3 51137.3
1973.367 10 50674.8 287209/2 – 79395°7/2 1955.268 3 51143.9 244707/2 – 75614°5/2
1972.857 10 50687.9 208485/2 – 71536°5/2 1954.535 10 51163.1 165167/2 – 67679°7/2
1972.617 5 50694.1 1545413/2 – 66148°13/2 1954.455 60w 51165.2
1972.200 30 50704.8 176279/2 – 68331°7/2 1954.386 20 51167.0 1824111/2 – 69408°11/2
1971.913 2 50712.2 1954.196 40 51171.9
1971.730 15 50716.9 161357/2 – 66852°7/2 1954.092 2 51174.7 176279/2 – 68801°7/2
1971.636 200 50719.3 1953.531 20 51189.4
1971.287 4 50728.3 250339/2 – 75762°9/2 1953.321 5 51194.9
1971.248 4 50729.3 1952.395 1 51219.1 182115/2 – 69431°7/2
1970.573 80 50746.7 128469/2 – 63593°9/2 1951.968 2 51230.3
1970.091 1 50759.1 398709/2 – 90629°9/2 1951.018 200 b l 51255.3
1969.791 40 50766.8 182115/2 – 68978°5/2 1950.864 1 51259.3 161357/2 – 67395°5/2
1969.650 20 50770.4 1753415/2 – 68305°15/2 1949.759 100 51288.4 1485911/2 – 66148°13/2
1969.468 10 50775.1 182115/2 – 68987°7/2 1949.156 60 51304.3 128469/2 – 64150°11/2
1968.530 60 50799.3 1948.364 10 51325.1 271387/2 – 78463°7/2
1968.227 40 50807.2 161357/2 – 66943°5/2 1947.036 10 51360.1 176279/2 – 68987°7/2
1967.608 10 50823.1 244707/2 – 75294°7/2 1946.900 1 51363.7 145589/2 – 65922°11/2
1967.447 20 50827.3 1946.830 3 51365.6
1946.417 80 51376.4 145589/2 – 65935°7/2 235325/2 – 75560°5/2
1945.646 2 51396.8 1921.828 2 52033.8
1945.053 1 51412.5 1711313/2 – 68525°11/2 1921.763 50 52035.6 1970011/2 – 71736°11/2
1943.835 8 51444.7 1824111/2 – 69686°9/2 1920.869 1 52059.8
1943.650 4 51449.6 238449/2 – 75294°7/2 1919.639 1 52093.1
1943.293 10 51459.0 1919.162 30 52106.1 198727/2 – 71978°7/2
1943.248 30 51460.2 1892115/2 – 70381°13/2 1918.562 100 52122.4 198727/2 – 71994°5/2
1941.939 2 51494.9 215359/2 – 73029°9/2 1917.201 1 52159.4
1941.556 100 51505.1 1335211/2 – 64857°9/2 1916.741 4 52171.9 312547/2 – 83426°5/2
1941.250 2 51513.2 1335211/2 – 64865°11/2 1916.507 1 52178.3
1940.930 2 51521.7 1916.106 50 52189.2 1485911/2 – 67049°9/2
1940.853 5 51523.7 1552511/2 – 67049°9/2 1915.296 1 52211.2
1940.770 2 51525.9 1914.681 2 52228.0 271387/2 – 79366°5/2
1939.299 100 51565.0 1913.964 70 52247.6
1939.161 10 51568.7 1913.622 1 52256.9 271387/2 – 79395°7/2
1937.726 20 51606.9 1913.339 2 52264.6
1937.127 10 51622.8 180639/2 – 69686°9/2 1913.284 100 b l 52266.2
1936.659 40 51635.3 150455/2 – 66681°5/2 1912.698 5 52282.2
1936.478 3 51640.1 287209/2 – 80360°11/2 1912.651 20 52283.4 1930811/2 – 71592°9/2
1936.375 1 51642.9 1911.251 3 52321.8
1935.588 30 51663.9 198727/2 – 71536°5/2 1910.242 2 52349.4 150455/2 – 67395°5/2
1935.290 1 51671.8 384489/2 – 90119°11/2 1910.093 1 52353.5
1933.865 10 51709.9 358017/2 – 8751 1°7/2 1909.895 3 52358.9 230503/2 – 75409°3/2
1933.775 100 51712.3 1930811/2 – 71021°9/2 1909.471 200 52370.5 2123813/2 – 73609°11/2
1933.491 1 51719.9 198727/2 – 71592°9/2 1909.258 300 52376.4 1936013/2 – 71736°11/2
1932.872 8 51736.5 1824111/2 – 69978°11/2 1907.956 4 52412.1 254097/2 – 77822°5/2
1932.181 5b I 51755.0 1907.054 10 52436.9
1931.739 5 51766.8 216115/2 – 73378°7/2 1906.750 10bl 52445.3
1931.368 1 51776.8 1906.126 2 52462.4 165167/2 – 68978°5/2
1930.813 40 51791.6 1906.040 40 52464.8 2317513/2 – 75640°11/2
1930.349 10 51804.1 176279/2 – 69431°7/2 1905.819 20 h 52470.9 165167/2 – 68987°7/2
1930.001 3 51813.4 1905.688 10 52474.5
1929.920 20 51815.6 165167/2 – 68331°7/2 1904.981 1 52494.0 216115/2 – 74105°5/2
1929.706 30 51821.4 150455/2 – 66867°3/2 1904.862 3 52497.2
1928.246 7 51860.6 1904.625 1 52503.8
1927.821 20 51872.0 1904.212 4 52515.2
1927.774 20 51873.3 1552511/2 – 67398°9/2 1903.356 60 52538.8 1485911/2 – 67398°9/2
1927.678 4 51875.9 1485911/2 – 66735°13/2 1903.115 10 c l 52545.4
1927.095 300 51891.6 1970011/2 – 71592°9/2 1903.083 10 c l 52546.3 189907/2 – 71536°5/2
1926.884 3 51897.3 150455/2 – 66943°5/2 1902.215 2 52570.3 1335211/2 – 65922°11/2
1925.579 3b l 51932.4 1901.979 4 52576.8
1925.184 10 51943.1 274525/2 – 79395°7/2 1901.715 7 52584.1
1924.451 30 51962.9 236517/2 – 75614°5/2 1900.811 5 52609.1
1923.365 300 51992.2 2364713/2 – 75640°11/2 1900.561 1 52616.0
1923.154 2 51997.9 1899.627 1 52641.9 242503/2 – 76892°3/2
1922.689 200 52010.5 128469/2 – 64857°9/2 1899.491 5 52645.7
1922.459 3 52016.7 264467/2 – 78463°7/2 1898.200 80 52681.5 145589/2 – 67240°7/2
1922.394 1 52018.5 128469/2 – 64865°11/2 1898.020 5 52686.5 214185/2 – 74105°5/2
1922.178 20 52024.3 220807/2 – 74105°5/2 348257/2 – 87511°7/2
1922.047 10 52027.9 165167/2 – 68544°9/2 1897.082 1 52712.5 1552511/2 – 68238°11/2
1896.430 6cl 52730.6 1880.571 10 53175.3
1896.409 2cl 52731.2 1879.845 4 53195.9 350247/2 – 88220°9/2
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1895.474 2 52757.2 1879.673 1 53200.7
1895.146 1 52766.4 225277/2 – 75294°7/2 1879.571 2 c l 53203.6
1894.672 2 52779.6 1824111/2 – 71021°9/2 1879.542 5 53204.4
1894.520 1 52783.8 1545413/2 – 68238°11/2 1879.235 20 53213.1 220807/2 – 75294°7/2
1894.358 3 52788.3 1878.823 10 53224.8
1893.864 3 52802.1 1878.459 20 53235.1
1893.751 1 52805.2 1877.694 10 53256.8 208485/2 – 74105°5/2
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1893.334 1h 52816.9 1876.933 100 b l 53278.4
1893.181 10 h 52821.2 1876.675 2 53285.7 150455/2 – 68331°7/2
1892.506 60 52840.0 145589/2 – 67398°9/2 1876.549 20 53289.3 182115/2 – 7l501°3/2
1892.266 1 52846.7 1753415/2 – 70381°13/2 1875.754 8 53311.9 145589/2 – 67870°9/2
1892.183 5 52849.0 1552511/2 – 68374°9/2 1875.388 10 53322.3 180639/2 – 71385°7/2
1892.050 4 52852.7 216115/2 – 74463°3/2 1875.309 20 53324.6 182115/2 – 71536°5/2
1891.609 2 52865.0 1711313/2 – 69978°11/2 1874.981 20 53333.9
1890.948 5 52883.5 1874.079 60 53359.5. 235325/2 – 76892°3/2
1890.827 200 52886.9 1873.997 20 53361.9
1890.665 2 52891.4 1873.914 5 b l 53364.2
1889.832 2 52914.8 165167/2 – 69431°7/2 1873.470 5 53376.9
1889.674 60 52919.2 1873.434 7 53377.9 1485911/2 – 68238°11/2
1888.294 30 52957.8 180639/2 – 71021°9/2 1873.146 2 53386.1
1887.490 1 52980.4 2738011/2 – 80360°11/2 1872.737 200 53397.8
1887.180 10 52989.1 1871.878 20 53422.3
1886.792 4 53000.0 1552511/2 – 68525°11/2 1870.826 5 53452.3
1886.624 10 53004.7 189907/2 – 71994°5/2 1870.354 1 53465.8
1886.491 7 53008.5 1869.803 2 53481.6
1886.412 5 53010.7 1485911/2 – 67870°9/2 1868.246 1 53526.1
1886.132 1 53018.6 1552511/2 – 68544°9/2 1867.982 5 53533.7 220807/2 – 75614°5/2
1885.940 3 53024.0 1867.565 200 53545.7 161357/2 – 69681°5/2
1885.869 4 53026.0 1867.224 5 53555.4
1885.328 3 53041.2 2609511/2 – 79136°13/2 1866.957 5 53563.1
1885.015 5 53050.0 1866.678 1 53571.1 242503/2 – 77822°5/2
1884.653 3 53060.2 1866.179 30 53585.4
1884.399 20 53067.3 1865.842 4 53595.1
1884.152 10 53074.3 1865.698 5 53599.2
1884.105 1 53075.6 128469/2 – 65922°11/2 1865.530 10 c l 53604.1
1883.789 3 53084.5 1865.503 10 c l 53604.8
1883.700 50 cl 53087.0 225277/2 – 75614°5/2 1865.232 20 53612.6 1552511/2 – 69138°9/2
1883.647 50 cl 53088.5 128469/2 – 65935°7/2 1865.139 40 53615.3 208485/2 – 74463°3/2
1883.315 2 53097.9 1865.061 2 .53617.6
1883.184 50 53101.6 3050511/2 – 83607°11/2 1864.141 50b l 53644.0
1883.007 1 53106.5 1863.670 20 53657.6 352919/2 – 88948°9/2
1882.932 2 53108.7 1863.393 20 53665.5 1485911/2 – 68525°11/2
1882.843 3 53111.2 1863.347 5 53666.9
1882.031 20 53134.1 1863.289 10 53668.5
1881.224 500 53156.9 2597915/2 – 79136°13/2 1863.044 100 53675.6 247889/2 – 78463°7/2
1880.919 10 53163.5 165167/2 – 69681°5/2 1862.028 4h 53704.9
1861.467 60 53721.1 1930811/2 – 7302°9/2 1843.574 4 54242.5 1
1861.040 10 53733.4 1843.356 10 54248.9 1936013/2 – 73609°11/2
1860.876 30 53738.1 1842.950 10 54260.8 211483/2 – 75409°3/2
1860.257 10 53756.0 150455/2 – 68801°7/2 1842.789 200 54265.6 212947/2 – 75560°5/2
1860.167 100 53758.6 176279/2 – 71385°7/2 2609511/2 – 80360°11/2
215359/2 – 75294°7/2 1842.365 60 54278.1 1485911/2 – 69138°9/2
1859.679 40h 53772.7 145589/2 – 68331°7/2 1842.235 5 54281.9
1859.328 5 53782.9 182115/2 – 71994°5/2 1841.926 1 54291.0 358289/2 – 90119°11/2
1859.270 5 53784.6 1841.729 2 54296.8
1858.198 10 53815.6 145589/2 – 68374°9/2 1841.514 6 54303.1 201603/2 – 74463°3/2
1857.791 5w 53827.4 1841.463 2 54304.6
1857.615 5 53832.5 1841.311 2 54309.1
1857.212 10 53844.1 1840.954 10 c l 54319.7 212947/2 – 75614°5/2
1857.044 1h 53849.0 1840.585 1 54330.6
1856.931 1 53852.3 1840.136 3 54343.8
1856.144 10 53875.1 214185/2 – 75294°7/2 1839.547 2 54361.2
1856.053 10 53877.8 1838.456 200 54393.5 128469/2 – 67240°7/2
1855.878 lOcl 53882.8 1552511/2 – 69408°11/2 1838.198 50 54401.1 2123813/2 – 75640°11/2
1855.601 2 53890.9 1837.984 20 54407.4
1855.511 10h 53893.5 1837.352 3 54426.2
1855.117 3 53905.0 3050511/2 – 84410°9/2 1837.311 1 54427.4
1855.004 30 53908.2 1970011/2 – 73609°11/2 1837.189 2 54431.0
1854.181 5cl 53932.2 1837.074 6 54434.4
1853.958 10h 53938.6 1836.887 3 54439.9
1853.754 1 53944.6 201603/2 – 74105°5/2 1836.705 3 54445.3 208485/2 – 75294°7/2
1853.326 4 53957.0 254097/2 – 79366°5/2 1836.635 5 54447.4
1853.288 4 53958.2 1836.471 7 54452.3 1552511/2 – 69978°11/2
1853.078 4 53964.3 1835.696 2 54475.2
1852.481 2 53981.7 1835.657 1 54476.4
1852.409 2 h 53983.8 1835.219 1 54489.4
1851.891 1 53998.8 212947/2 – 75294°7/2 1834.398 8 54513.8
1850.099 8 54051.2 312547/2 – 85306°5/2 1833.240 100 54548.2
1849.381 10 54072.1 1833.120 100 54551.8
1849.277 2 54075.2 1832.466 2 54571.3
1848.358 4 54102.1 1832.331 15 54575.3 298359/2 – 84410°9/2
1848.161 2 54107.8 1831.264 4 54607.1
1847.484 10 54127.7 1831.212 8 54608.6
1847.308 10b l 54132.8 1830.872 50 54618.8 238449/2 – 78463°7/2
1847.196 20c l 54136.1 1830.727 1 54623.1 1711313/2 – 71736°11/2
1847.167 2 54137.0 1830.593 100h 54627.1
1847.014 10 54141.4 1830.311 20 54635.5 150457/2 – 69681°5/2
1846.935 20 54143.8 1829.742 10h 54652.5
1846.836 40 54146.6 1829.313 100h 54665.3
1846.378 20 54160.1 1828.849 5b l 54679.2
1846.187 6 54165.7 1828.589 1 54687.0
1845.896 1 54174.2 1828.196 2 54698.7 78694°11/2 – 13339313/2
1844.951 2 54202.0 1828.045 2 54703.2
1844.862 3 54204.6 1827.758 4 54711.8
1844.590 1 54212.6 1826.966 10 54735.6
1843.910 20 54232.6 198727/2 – 74105°5/2 1825.989 2 54764.8
1825.792 1 54770.8 1798.347 20 55606.6
1825.215 2 54788.1 18241 11/2− 73029°9/2 1797.273 20 55639.8
1823.960 3 54825.8 1797.085 20 55645.7 12846 9/2− 68492°7/2
1823.855 15 54828.9 35291 9/2−90119°11/2 1797.011 1 55648.0
1823.703 60 54833.5 1795.721 2 55687.9
1823.561 30 54837.8 1795.662 10 55689.8 28720 9/2− 84410°9/2
1822.640 2 54865.5 1794.822 10 55715.8 22747 9/2− 78463°7/2
1822.514 20 54869.3 16516 7/2− 71385°7/2 1794.614 40 h 55722.3
1821.782 4 54891.3 1794.164 1 55736.3
1821.451 8 54901.3 1793.973 40 55742.2 19872 7/2 – 75614°5/2
1821.333 1 54904.8 1793.695 100 55750.8
1820.860 50 54919.1 1793.502 40 55756.8
1820.296 4 54936.1 1792.983 10 55773.0
1819.595 30 54957.3 26446 7/2− 81404°5/2 1792.794 3 55778.8
1819.292 15 54966.4 18063 9/2− 73029°9/2 1792.569 1 55785.9 13352 11/2− 69138°5/2
1819.259 10 54967.4 1792.101 1 55800.4
1818.913 10 54977.9 1791.938 30 55805.5
1818.031 lOb l 55004.6 1791.690 80 55813.2
1817.401 3 55023.6 1791.274 2 55826.2
1817.344 7 55025.4 1790.071 2 55863.7
1817.023 1 55035.1 1790.027 3 55865.1
1816.643 400 55046.6 23647 13/2−78694°11/2 1789.955 1 55867.3
1816.484 2 55051.4 1789.656 5 55876.7
1815:721 30 55074.5 1789.247 1 55889.4 19872 7/2− 75762°9/2
1815.025 4 55095.7 1789.129 1 55893.1 18211 5/2− 74105°5/2
1814.295 40 55117.8 14859 11/2 −69978°11/2 1788.462 2 55914.0 36640 7/2− 92554°5/2
1812.375 20 55176.2 1787.770 3 55935.6 22527 7/2 – 78463°7/2
1811.894 200w 55190.9 1787.635 1 55939.8
1810.775 50 55225.0 1787.154 15 55954.9 12846 7/2− 68801°7/2
1810.611 3 55230.0 1786.964 4 55960.8 23175 13/2− 79136°13/2
1809.556 4 55262.2 23050 3/2 − 78312°1/2 1786.691 10h 55969.4
1808.516 15 55293.9 22527 7/2− 77822°5/2 1786.141 70 55986.6
1808.106 30 55306.5 1785.885 10 55994.6 25409 7/2 – 81404°5/2
1807.913 4 55312.4 1785.330 1 56012.0
1807.776 1 55316.6 1780.963 lOb l 56149.4
1805.481 5 55386.9 1780.596 5 56161.0 14859 11/2− 71021°9/2
1804.775 40 55408.6 1780.210 10 56173.1
1804.354 10 55421.5 19872 7/2− 75294°7/2 1779.460 4 56196.8
1803.399 2 55450.8 1779.025 2 56210.6 21611 5/2− 77822°5/2
1803.231 3b l 55456.0 1778.732 1 56219.8
1803.100 3b l 55460.0 1778.422 1 56229.6
1802.430 20b l 55480.6 1777.716 4 56251.9 18211 5/2− 74463°3/2
1802.292 20 55484.9 12846 9/2− 68331°7/2 1777.452 2 56260.3
1802.186 5 55488.2 23647 13/2− 79136°13/2 1776.879 20 56278.4
1801.964 1 55495.0 1776.515 15 h 56290.0
1801.172 100 55519.4 23175 13/2− 78694°11/2 1774.491 5 56354.2
38448 9/2− 93967°7/2 1774.257 1 56361.6
1800.902 20 55527.7 12846 9/2− 68374°9/2 1773.023 7 56400.8
1800.839 10 55529.7 1772.390 1 56421.0 38726 7/2 – 95147°9/2
1799.453 1 55572.4 1772.129 3 56429.3
1771.958 4 56434.7 1740.056 1 57469.4
1771.680 1 56443.6 1739.840 200 57476.6
1771.545 15 56447.9 1738.971 30 57505.3
1771.483 10 56449.9 1737.972 5h 57538.3
1771.328 4 56454.8 1736.996 10 57570.6
1769.398 100 56516.4 238449/2 – 80360°11/2 17.36.747 5 57578.9
1769.064 20 56527.1 212947/2 – 77822°5/2 1736.646 200 57582.2
1768.618 7 56541.3 1735.801 4 57610.3
1768.479 10 56545.8 1735.757 1 57611.8
1768.114 5 56557.4 1734.029 2 57669.2 13352 11/2− 71021°9/2
1766.432 3 56611.3 22277 3/2 – 78889°3/2 1732.382 20 57724.0 25979 15/2− 83703°13/2
1765.543 2 56639.8 1731.526 2 57752.5 23651 7/2 – 81404°5/2
1765.299 1 56647.6 22747 9/2 – 79395°7/2 1731.442 2 57755.3 21611 5/2 – 79366°5/2
1765.087 4 56654.4 36642 13/2− 93296°11/2 1729.702 3 57813.4 23175 13/2− 80988°13/2
1764.859 10h 56661.7 1728.302 1 57860.3 21535 9/2 – 79395°7/2
1763.122 20 56717.6 1727.281 1 57894.4
]763.005 1 56721.3 1727.194 1 57897.4 21238 13/2− 79136 13/2
1762.665 7 56732.3 14859 11/2− 71592°9/2 1725.553 3b l 57952.4
1761.668 20 56764.4 1724.116 1 58000.7
1761.052 2 56784.2 1723.641 10 58016.7
1760.859 10 56790.5 1722.693 2 58048.6
1760.518 10h 56801.5 1722.011 15 58071.6 21294 7/2 – 79366°5/2
1759.916 1 56820.9 1721.800 1 58078.8
1759.318 30 56840.2 1721.473 1 58089.8
1759.278 10c l 56841.5 1721.102 5h 58102.3
1758.351 5 56871.5 1720.034 2 58138.4
1758.277 1 56873.9 1719.940 4 58141.6
1758.196 7 56876.5 14859 11/2− 71736°11/2 1717.770 200 58215.0 30733 11/2− 88948°9/2
1755.522 20 56963.1 1717.152 1 58236.0
1755.445 4 56965.6 31254 7/2 – 88220°9/2 1715.471 5 58293.0
1754.934 10 h 56982.2 1713.147 4 58372.1
1754.583 200 56993.6 1712.848 60h 58382.3 38448 11/2 – 96830°7/2
1753.297 10 57035.4 1712.381 1 58398.2
1750.486 5c l 57127.0 1712.058 1 58409.2
1750.462 5c l 57127.8 71978°7/2−129106 9/2 1711.408 2h 58431.4
1749.160 2 57170.3 35384 5/2 – 92554°5/2 1710.139 2 58474.8
1748.330 5 57197.4 1709.377 5h 58500.8
1747.949 100 57209.9 1707.514 1 58564.7 24461 5/2 – 83025°3/2
1746.225 1 57266.4 1706.743 10 58591.1 19872 7/2 – 78463°7/2
1745.879 3 57277.7 21611 5/2− 78889°3/2 1705.705 50h 58626.8 28885 9/2− 87511°7/2
1745.474 10h 57291.0 1702.266 1 58745.2 21418 5/2 – 80164°3/2
1745.329 2 57295.8 1700.952 20 58790.6 28720 9/2− 87511°7/2
1744.57] 4 57320.7 1700.128 1 58819.1 24788 9/2− 83607°11/2
1743.957 3 57340.9 23647 13/2− 80988°13/2 1699.416 3 58843.7
1743.758 1 57347.4 1698.689 10 58868.9
1743.377 400 57359.9 32760 13/2− 90119°11/2 1697.558 3 58908.1
1742.574 2 57386.4 1696.079 15 58959.5
1742.073 10 57402.9 18211 5/2 – 75614°5/2 1694.896 1 59000.7 25409 7/2 – 84410°9/2
1741.563 1 57419.7 14558 9/2 – 71978°7/2 1694.547 100 59012.8 25979 15/2− 84992°15/2
1740.471 1 57455.7 21238 13/2− 78694°11/2 1692.766 30 59074.9
1691.726 10 59111.2 1521.236 10 65736.0
1689.800 2 59178.6 1520.128 1 65783.9 13352 11/2− 79136°13/2
1687.085 1 59273.8 1520.030 3 65788.2
1685.905 1 59315.3 20848 5/2− 80164°3/2 1519.247 100 65822.1
1685.033 2 59346.0 35801 7/2 – 95147°9/2 1518.966 4h 65834.2
1684.583 1 59361.9 1518.655 2 65847.7 12846 9/2− 78694°11/2
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1680.841 8 59494.0 19872 7/2 – 79366°5/2 1518.212 1 65867.0
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1676.900 30 59633.8 71592°9/2−131226 9/2 1517.441 10 65900.4 21611 5/2− 87511°7/2
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1674.074 4h 59734.5 1516.753 5 65930.3 65295°7/2−131226 9/2
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1672.914 4 59775.9 19360 13/2 79136°13/2 1516.365 1 65947.2
1671.427 20 59829.1 1515.694 15 65976.4 21535 9/2− 87511°7/2
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1666.198 7 60016.9 1513.746 10h 66061.3
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1589.553 2 62910.8 1505.409 5 66427.1 28720 9/2− 95147°9/2
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1579.856 1 63296.9 1504.783 30 66454.8 67049°9/2−133503°11/2
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1529.851 1 65365.8 18241 11/2− 83607°11/2 1504.086 8 66485.6 46673 7/2 —113158°9/2
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1502.688 10 66547.4 62558°11/2−129106 9/2 1487.561 15 67224.1
1502.435 3 66558.6 1487.137 100h 67243.3
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1501.676 10 66592.3 1486.630 20 h 67266.2
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1500.901 3w 66626.6 1485.425 200 67320.8
1500.675 10 66636.7 1484.932 20 67343.2 68525°11/2−135868 9/2
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1500.080 50 66663.1 44679 7/2−111342°7/2 1484.298 300w 67371.9 22747 9/2− 90119°11/2
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1499.586 3h 66685.1 21535 9/2 – 88220°11/2 1484.046 3 67383.4 63816°11/2−131200 11/2
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1498.566 4 66730.5 69138°9/2−135868 9/2 1483.598 10 67403.7
1498.426 1 66736.7 1483.508 5 67407.8 25033 9/2− 92441°7/2
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1497.352 3 66784.6 23844 9/2 – 90629°11/2 1483.400 10 67412.7
1496.880 7 66805.6 1482.662 3 67446.2
1496.831 8 66807.8 1482.585 10 67449.8
1496.247 20 66833.9 1482.548 1 67451.4
1495.999 200 66845.0 1482.417 20 67457.4 65922°11/2−133393 13/2
1495.547 30 66865.2 62240°11/2−129106 9/2 1482.127 10 67470.6
1495.506 7 66867.0 1481.704 3 67489.9 68374°9/2−135868 9/2
1495.220 200 66879.8 1481.609 1 67494.2 61605°7/2−129106 9/2
1495.047 2h 66887.5 1481.475 7 67500.3
1494.944 20h 66892.1 1481.193 5 67513.1
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1492.874 60 66984.9 64215°13/2−131200 11/2 1479.887 40 67572.7 67870°9/2−135445 7/2
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1490.494 50 67091.8 66301°15/2−133393 13/2 1479.136 10 67607.0 63593°9/2−131200 11/2
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1490.014 3h 67113.5 68331°11/2−135445 7/2 1478.974 2 67614.4
1489.937 50h 67116.9 1478.835 5 67620.8
1489.689 3 67128.1 1478.618 3 67630.7 68238°11/2−135868 9/2
1489.567 200 67133.6 1478.572 8 67632.8 63593°9/2−131226 9/2
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1488.984 100h 67159.9 1478.253 10 67647.4
1488.202 I 67195.2 1478.120 100 67653.5 24788 9/2 – 92441°7/2
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1487.843 20 67211.4 1477.977 20b l 67660.0
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1476.843 30 67712.0 45844 3/2−113556°5/2 1465.216 2 68249.3 15454 13/2− 83703°13/2
1476.566 2 67724.7 1465.124 200 68253.6
1476.516 10 67727.0 1465.021 200 68258.4
1476.274 200 67738.1 1464.853 3 68266.2
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1472.332 20 67919.5 1461.616 100h 68417.4
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1472.102 2 67930.1 1461.405 4 68427.3
1471.895 3 67939.6 1461.218 2 68436.0
1471.767 30 67945.5 28885 9/2− 96830°7/2 1460.632 2 68463.5
1471.518 3 67957.0 1460.440 2 68472.5
1471.255 5 67969.2 1460.223 1 68482.7
1470.908 3 67985.2 1460.050 40 68490.8
1470.805 80 67990.0 1459.674 40 68508.4 24788 9/2− 93296°11/2
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1469.649 2 68043.4 1458.771 8 68550.8
1469.511 7 68049.8 67395°5/2−135445 7/2 1458.701 2 68554.1
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1468.902 60 68078.1 1458.202 10 68577.6
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1467.247 3 68154.8 1456.787 1 68644.2
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1454.265 20 68763.2 1439.420 10h 69472.4
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1452.887 40 68828.5 1435.977 10 69639.0
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1450.500 2 68941.7 1431.711 5w 69846.5
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1448.168 100 69052.8 26095 11/2− 95147°9/2 1430.930 3 69884.6 17627 9/2− 87511°7/2
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1447.616 100 69079.1 1430.329 20 69914.0 22527 7/2− 92441°7/2
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1446.361 1 69139.0 48401 3/2−117540°9/2 1429.627 1 69948.3
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1421.479 1 70349.3 1406.681 15 71089.3
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1409.535 3 70945.4 62558°11/2−133503 11/2 1396.219 20 71622.0
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1408.544 3 70995.3 16516 7/2− 87511°7/2 1395.658 5 71650.8
1408.221 10 710]1.6 64857°9/2−135868 9/2 1395.383 8 71664.9
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1407.212 5 71062.5 40205 3/2−111268°3/2 1394.435 3 71713.6
1394.323 20 7l7l9.4 1370.129 2 72985.8 23844 9/2− 96830°7/2
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1393.905 4 7l740.9 1367.730 5 73113.8
1393.526 2 71760.4 1366.761 3 73165.7
1393.452 100 7l764.2 1366.522 3 73178.5 23651 7/2− 96830°7/2
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1392.651 3 71805.5 1364.645 1 73279.1
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1390.762 3 71903.0 1364.303 1 73297.5 39725 15/2−113023°17/2
1390.367 100 71923.4 1363.020 2 73366.5
1390.301 2 71926.9 1362.453 40h 73397.0
1390.089 5 7l937.8 1362.37l 20h 73401.4 44679 7/2−118081°9/2
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1388.073 1 72042.3 24788 9/2− 96830°7/2 1358.233 2 73625.1
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1387.268 4 72084.1 16135 7/2− 88220°9/2 1355.383 1 73779.9
1387.136 2 72091.0 1355.214 3 73789.1 44679 7/2−118468°9/2
1386.163 3 72141.6 44903 5/2−117044°7/2 1354.815 2 738lO.8
1385.459 5h 72178.2 1353.997 2 73855.4
1384.669 3 72219.4 1353.601 10h 73877.0
1383.796 10 72265.0 1353.151 3 73901.6
1383.656 300h 72272.3 1352.987 2 73910.5 39870 9/2−113780°9/2
1383.608 2 72274.8 45805 9/2−118081°9/2 1352.697 600 73926.4
1382.351 2 72340.5 1352.511 300 73936.5 19360 13/2− 93296°11/2
1382.193 2 72348.8 1350.905 1 74024.4
1382.045 1 72356.5 45844 3/2−118201°3/2 1350.326 10h 74056.2
1381.886 2 72364.9 44679 7/2−117044°7/2 1350.171 20 74064.7
1381.816 4 72368.5 1349.740 1 74088.3 61357°9/2−135445 7/2
1381.446 100 72387.9 18241 11/2− 90629°9/2 1349.618 7 74095.0 19872 7/2 – 93967°7/2
1381.209 10 72400.3 22747 9/2− 95147°9/2 1349.334 7 74110.6 38785 15/2−112896°15/2
1380.107 40h 72458.2 1349.059 5 74125.7
1379.958 3 72466.0 45805 9/2−118271°11/2 1347.513 10 74210.8 36670 11/2−110881°11/2
1378.385 1 72548.7 38785 15/2−111335°15/2 1347.328 5 74221.0
1377.992 15 72569.4 19872 7/2− 92441°7/2 1347.162 30 74230.1 18211 5/2−92441°11/2
1377.425 20 72599.2 1345.174 100h 74339.8 39485 1/2−113825°3/2
1376.770 15 72633.8 38701 13/2−111335°15/2 1345.087 200w 74344.6
1376.032 8 72672.7 21294 7/2 – 93967°7/2 1344.704 5 74365.8
1375.992 4 72674.8 1344.323 10 74386.9
1375.847 1 72682.5 19872 7/2 – 92554°5/2 1342.855 10 74468.2 36642 13/2−111110°13/2
1374.618 20h 72747.5 1342.259 100 74501.3
1374.199 2 72769.7 1338.810 4 74693.2 36642 13/2−111335°15/2
1373.939 10 72783.4 44903 5/2−117686°5/2 1338.568 2h 74706.7
1372.124 3h 72879.7 1337.468 40h 74768.1
1371.420 100h 72917.1 1335.134 100 74898.8 38701 13/2−113600°13/2
1371.220 2h 72927.8 1334.983 10 74907.3
1370.471 15 72967.6 44679 7/2−117647°7/2 1334.811 2 74917.0
1333.802 20h 74973.6 1294.456 2 77252.5
1332.359 1 75054.8 18241 11/2− 93296°11/2 1294.103 3 77273.6 36640 7/2−113914°5/2
1331.490 1 75103.8 15525 11/2− 90629°9/2 1294.043 10 77277.2 13352 11/2− 90629°9/2
1330.985 60 75132.3 38701 13/2−113833°15/2 1293.079 5 77334.8 40205 3/2−117540°3/2
1329.459 1 75218.6 1292.456 3h 77372.1
1328.452 30 75275.6 38549 1/2−113825°3/2 1292.062 1 77395.7 15045 5/2 – 92441°7/2
1328.207 5 75289.5 45805 9/2−121095°11/2 1291.104 20 77453.1 38785 15/2−116238°15/2
1325.155 4 75462.9 41026 17/2−116489°17/2 39870 9/2−117323°11/2
1324.595 50h 75494.8 1289.817 1 77530.4
1322.376 1 75621.4 1288.999 2 77579.6 37919 7/2−115499°9/2
1321.520 5 75670.4 39732 11/2−115403°11/2 1287.736 2h 77655.7
1319.844 1 75766.5 39732 11/2−115499°9/2 1286.935 300 77704.0 38785 15/2−116489°17/2
1319.796 1 75769.3 14859 11/2− 90629°9/2 1286.530 40h 77728.5
1316.719 3 75946.4 39725 15/2−115672°15/2 1286.233 1 77746.4
1316.264 1 75972.6 36670 11/2−112643°11/2 1284.023 10 77880.2 37919 7/2−115800°5/2
1315.596 1 76011.2 38785 15/2−114797°13/2 1278.394 3h 78223.1
1314.573 2 76070.3 14558 9/2 90629°9/2 1277.726 2 78264.0
1314.136 20 76095.6 38701 13/2−114797°13/2 1277.553 50h 78274.6
1313.582 10 76127.7 36642 13/2−112769°13/2 1277.286 30 78291.0
1313.538 2 76130.3 35137 3/2−111268°3/22 1276.937 1 78312.4
1313.376 5h 76139.6 1276.817 2h 78319.8
1312.336 7 76199.0 39732 11/2−115933°11/2 1276.612 2h 78332.3
1310.972 1h 76279.3 37011 5/2−113291°7/2 1276.327 1 78349.8 38694 5/2−117044°7/2
1310.898 2h 76283.6 1275.701 1 78388.3
1310.307 2 76318.0 35024 7/2−111342°7/2 1274.924 20 78436.0
1310.001 1 76335.8 1273.361 5 78532.3 35024 7/2−113556°5/2
1309.831 2h 76345.7 1272.901 20 78560.7 25244°15/2−103805 13/2
1308.577 2 76418.9 16135 7/2− 92554°5/2 1272.820 1 78565.7 39120 3/2−117686°5/2
1308.234 2 76438.9 39870 9/2−116309°11/2 1272.690 3 78573.7 23091°3/2−101665 5/2
1307.215 20h 76498.5 1271.934 10h 78620.4
1306.420 1 76545.1 37011 5/2−113556°5/2 1271.829 1 78626.9
1305.892 1 76576.0 39732 11/2−116309°11/2 1269.499 1 78771.2 34520 5/2−113291°7/2
1305.771 1 76583.1 39870 9/2−116453°9/2 1269.345 1 78780.8 36640 7/2−115420°7/2
1305.623 1 76591.8 1269.232 2 78787.8 37011 5/2−115800°5/2
1303.501 2 76716.5 37197 3/2−113914°5/2 1268.819 2 78813.4
1302.961 3 76748.3 34520 5/2−111268°3/2 1268.084 1 78859.1 36640 7/2−115499°9/2
1302.884 3h 76752.8 1267.783 40 78877.8 39732 11/2−118610°13/2
1302.696 10 76763.9 39725 15/2−116489°17/2 1267.235 2h 78912.0
1300.617 50 76886.6 38785 15/2−115672°15/2 1266.730 2h 78943.4
1300.285 3 76906.2 18241 11/2− 95147°9/2 1265.676 20 79009.2 39870 9/2−118879°11/2
1299.811 30h 76934.3 1265.347 5 79029.7 36640 7/2−115670°7/2
1299.407 10 76958.2 36642 13/2−113600°13/2 36642 13/2−115672°15/2
1299.193 2 76970.9 38701 13/2−115672°15/2 1264.221 10 79100.1
1298.693 40 77000.5 1263.489 20 79145.9 39732 11/2−118879°11/2
1298.630 100 77004.2 1263.274 20 79159.4 36640 7/2−115800°5/2
1298.410 2 77017.3 1263.160 1 79166.5
1298.139 10h 77033.4 1261.871 20 79247.4 39024 9/2−118271°11/2
1297.828 3 77051.8 38448 9/2−115499°9/2 1260.991 20 79302.7
1295.473 30 77191.9 36642 13/2−113833°15/2 1259.747 4 79381.0 36640 7/2−116021°7/2
1294.860 2 77228.4 1258.859 4h 79437.0
1258.754 1 79443.6 1217.644 40 82125.8
1258.700 2 79447.0 24357°11/2−103805 13/2 1217.473 3 82137.3 30505 11/2−112643°11/2
1257.936 1 79495.3 35828 9/2−115324°9/2 1217.169 4 82157.9 29835 9/2−111993°9/2
1257.835 10h 79501.7 1217.063 1 82165.0
1256.362 20 79594.9 12846 9/2− 92441°7/2 1215.996 2 82237.1 36642 13/2−118879°11/2
1255.468 1 79651.6 38549 1/2−118201°3/2 1214.562 1 82334.2
1255.162 3 79671.0 35828 9/2−115499°9/2 1212.271 1 82489.8 35828 9/2−118318°7/2
1254.915 5 79686.7 1212.053 2 82504.6
1252.937 7 79812.5 36640 7/2−116453°9/2 1211.998 1 82508.4 39024 9/2−121532°11/2
48401 3/2−128214°3/2 1211.894 60 82515.5
1250.337 20 79978.4 1211.111 3 82568.8
1250.190 10 79987.8 1210.532 3 82608.3
1249.025 3 80062.4 23245°5/2−103308 7/2 1210.158 4 82633.8
1246.860 5h 80201.5 1210.078 20 82639.3
1245.521 5 80287.7 14859 11/2− 95147°9/2 1209.191 2 82699.9
1244.669 2 80342.6 37197 3/2−117540°3/2 1208.938 2h 82717.2
1242.667 1 80472.1 1208.755 2 82729.8 27604 9/2−110333°7/2
1241.027 5h 80578.4 38701 13/2−121431°13/2
1239.467 7 80679.8 24886°7/2−105566 9/2 1208.272 2 82762.8 45805 9/2−128568°9/2
1238.007 4 80775.0 35024 7/2−115800°5/2 1208.013 40b l 82780.6
1237.976 2 80777.0 1205.675 2h 82941.1
1236.596 1 80867.2 1205.511 20 h 82952.4
1235.607 20h 80931.9 1204.999 20b l 82987.6
1235.369 1 80947.5 1204.511 4h 83021.2
1234.649 1 80994.7 36652 5/2−117647°7/2 1204.078 50 83051.1 35828 9/2−118879°13/2
1234.534 3 81002.2 1204.000 4 83056.5 35024 7/2−118081°9/2
1234.351 1 81014.2 1203.946 2h 83060.2
1234.150 3 81027.4 1203.448 2 83094.6 30505 11/2−113600°13/2
1233.869 3 81045.9 29835 9/2−110881°11/2 1203.266 1 83107.1
36640 7/2−117686°5/2 1203.106 10h 83118.2
1233.573 1 81065.3 29267 5/2−110333°7/2 1203.054 2h 83121.8
1233.242 1 81087.1 29835 9/2−110922°13/2 1202.997 1 83125.7
1231.958 1 81171.6 1202.889 1 83133.2
1229.989 3h 81301.5 1202.515 2 83159.0
1229.728 20 81318.8 1202.463 5b l 83162.6
1228.610 10c l 81392.8 39725 15/2−121119°15/2 1202.389 4 83167.8 25391° 13/2−108559 11/2
1228.067 2 81428.8 35024 7/2−116453°9/2 1201.999 1 83194.8 27138 7/2−110333°7/2
1224.015 5 81698.3 39732 11/2−121431°13/2 1200.879 1 83272.3 28720 9/2−111993°9/2
1223.251 1 81749.4 1200.565 3 83294.1 35024 7/2−118318°9/2
1223.055 1 81762.5 1200.254 5 83315.7
1222.497 10 81799.8 39732 11/2−121532°11/2 1200.203 5b l 83319.2
1222.214 2 81818.7 35828 9/2−117647°7/2 1200.140 8 83323.6 29835 9/2−113158°9/2
1222.173 1 81821.5 1200.067 5h 83328.7
1220.398 1 81940.5 36670 11/2−118610°13/2 1198.482 2h 83438.9
1220.279 4 81948.5 1198.399 40 83444.7 35024 7/2−118468°9/2
1219.975 2 81968.9 36642 13/2−118610°13/2 1197.869 3 83481.6
1219.500 1 82000.8 29267 5/2−111268°3/2 1197.651 2 83496.8
1219.208 20 82020.5 35024 7/2−117044°7/2 1197.589 50 83501.1 27380 11/2−110881°11/2
1218.533 2 82065.9 1197.505 30 83507.0 29263 13/2−112769°13/2
1218.403 4 82074.6 29267 5/2−111342°7/2 1196.999 1 83542.3 27380 11/2−110922°9/2
1196.893 10 83549.7 44903 5/2−128453°7/2 1161.532 7 86093.2 24788 9/2−110881°11/2
1196.513 1 83576.2 1161.460 8 86098.5 29835 9/2−115933°11/2
1195.692 4 83633.6 29263 13/2−112896°15/2 1160.892 2 86140.7 29263 13/2−115403°11/2
1194.310 20 83730.4 27380 11/2−111110°13/2 1160.821 3 86145.9 29263 13/2−115408°13/2
1192.794 3 83836.8 1160.717 10 86153.6 27138 7/2−113291°7/2
1192.472 1 83859.4 1160.409 4 86176.5 27604 9/2−113780°9/2
1192.047 15 83889.3 44679 7/2−128568°9/2 1159.818 20 86220.4 27380 11/2−113600°13/2
1191.806 100 83906.3 1159.497 10 86244.3
1190.132 10 84024.3 29267 5/2−113291°7/2 1158.871 1 86290.9
1190.043 100 84030.6 1158.222 5h 86339.2
1189.183 20 84091.3 1157.964 2 86358.5 35024 7/2−121382°9/2
1188.622 3 84131.0 1157.912 40 86362.3
1187.589 15 84204.2 27138 7/2−111342°7/2 1157.279 20 86409.6 29263 13/2−1 l5672°15/2
1187.470 4 84212.6 1156.410 15 86474.5 29835 9/2− 116309°11/2
1187.418 1 84216.3 1155~871 3 86514.8
1187.176 2 84233.5 1155.747 40 86524.1
1185.662 1 84341.1 1155.635 2 86532.5 29267 5/2−115800°5/2
1185.135 2 84378.6 1154.705 1 86602.2
1184.806 1 84402.0 1154.526 1 86615.6
1183.796 1 84474.0 1154.091 1 86648.3
1183.751 1 84477.2 36642 13/2−121119°15/2 1153.796 5 86670.4 29263 13/2−115933°11/2
1183.029 1 84528.8 1152.347 10 86779.4 28720 9/2−115499°9/2
1182.794 20 84545.6 31254 7/2−115800°5/2 1151.922 2 86811.4
1182.655 15 84555.5 1151.863 3 86815.9
1182.425 6h 84572.0 1151.718 5 86826.8 31254 7/2−118081°9/2
1182.002 3h 84602.2 1151.530 10 86841.0
1181.852 2 84612. 27380 11/2−111993°9/2 1151.474 10 86845.2 26446 7/2−113291°7/2
1181.804 1 84616.4 1150.956 2 86884.3 14187°5/2−101071 5/2
1180.016 80 84744.6 1150.518 20 86917.4 25979 15/2−112896°15/2
1179.786 4 84761.1 1149.956 30 86959.8 24309 3/2−111268°3/2
1179.739 4 84764.5 1149.740 20 86976.2 29263 13/2−116238°15/2
1178.552 3 84849.9 1149.180 5 87018.6 24250 3/2−111268°3/2
1178.140 40 84879.6 1148.979 10 87033.8 24461 5/2−111494°5/2
1178.012 5 84888.8 28936 3/2−113825°3/2 1148.836 100 87044.6
1177.911 5c l 84896.1 26446 7/2−111342°7/2 1148.493 20h 87070.6
1177.886 20c l 84897.9 30505 11/2−115403°11/2 1148.136 5 87097.7
1176.548 5 84994.4 30505 11/2−115499°9/2 1146.717 1 87205.5 24788 9/2−111993°9/2
1175.638 10 85060.2 28720 9/2−113780°9/2 1146.659 1 87209.9 29835 9/2−117044°7/2
1175.458 1 85073.2 1146.600 1 87214.4 31254 7/2−118468°9/2
1175.410 1 85076.7 1146.346 4 87233.7 23647 13/2−110881°11/2
1175.191 10 85092.6 1146.060 1 87255.5 16089°13/2−103344 11/2
1172.829 30 85263.9 1145.869 4 87270.0 30505 11/2−117775°13/2
1171.087 4 85390.8 1145.456 10 87301.5 28720 9/2−116021°7/2
1170.564 10 85428.9 1145.216 1 87319.8
1169.104 10 85535.6 1144.726 10 87357.2 25934 5/2−113291°7/2
1166.804 10 85704.2 35828 9/2−121532°11/2 1144.009 1 87411.9
1165.446 3 85804.1 30505 11/2−116309°11/2 1143.937 4 87417.4 27380 11/2−114797°13/2
1164.659 1 85862.0 24470 7/2−110333°7/2 1143.836 2 87425.1
1163.805 4 85925.0 1143.342 50 87462.9 23647 13/2−111110°13/2
1163.324 3b l 85960.6 1143.244 1 87470.4
1143.020 2 87487.5 29835 9/2−117323°11/2 1130.153 3 88483.6
1142.900 20 87496.7 1129.886 3 88504.5 25409 7/2−113914°5/2
1142.788 10 87505.3 26095 11/2−113600°13/2 1129.785 10 88512.4 29263 13/2−117775°13/2
1142.690 20 87512.8 1129.054 1 88569.7 27452 5/2−116021°7/2
1142.012 20 87564.8 1128.731 1 88595.1 22747 9/2−111342°7/2
1141.868 2 87575.8 30505 11/2−118081°11/2 1127.367 40 88702.3 26095 11/2−114797°13/2
1141.795 20 87581.4 1127.107 4 88722.7 21611 5/2−110333°7/2
1141.697 40 87588.9 28720 9/2−116309°11/2 1127.030 2 88728.8 39485 1/2−128214°3/2
1141.465 4 87606.7 1126.802 5 88746.7 25033 9/2−113780°9/2
1141.419 1 87610.2 1126.623 2 88760.8
1141.262 3 87622.3 25934 5/2−113556°5/2 1126.282 3 88787.7
1141.157 2 87630.4 1126.128 300h 88799.8 29263 13/2−118063°15/2
1140.413 200 87687.5 23647 13/2−111335°15/2 1125.935 4 88815.1 22527 7/2−111342°9/2
1140.174 30 87705.9 23175 13/2−110881°11/2 1125.895 5 88818.2 25979 15/2−114797°13/2
1139.821 10 87733.1 28720 9/2−116453°9/2 1125.725 20 88831.6
1139.688 10 87743.3 1125.596 20 88841.8 22080 7/2−110922°9/2
1139.245 1 87777.4 29267 5/2−117044°9/2 1125.442 5 88854.0 28720 5/2−117574°11/2
1139.090 3 87789.4 1125.355 1 88860.8
1138.958 3 87799.6 27604 9/2−115403°11/2 1124.668 30 88915.1 21418 5/2−110333°7/2
1138.822 2 87810.0 23532 5/2−111342°7/2 1124.366 1 88939.0
1138.712 80 87818.5 1124.014 1 88966.9 22527 7/2−111494°9/2
1138.231 2 87855.6 24788 9/2−112643°11/2 1123.920 15 88974.3 26446 7/2−115420°9/2
1137.886 30 87882.3 25409 7/2−1 13291°7/2 1123.708 1 88991.1 22277 3/2−111268°3/2
1137.809 50 87888.2 1123.647 3 88995.9
1137.714 100 87895.6 27604 9/2−115499°9/2 1123.103 2 89039.0 21294 7/2−110333°9/2
1137.197 20 87935.5 23175 13/2−111110°13/2 1123.041 1 89043.9 29835 9/2−118879°11/2
1136.852 3 87962.2 23532 5/2−111494°5/2 1122.803 3 89062.8
1136.709 50 87973.3 1122.386 7 89095.9 24461 5/2−113556°5/2
1136.628 8 87979.5 25934 5/2−113914°5/2 1122.005 40 89126.2
1136.551 1 87985.5 29263 13/2−117248°13/2 1121.452 3 89170.1
1136.484 4 87990.7 17642°15/2−105632 13/2 1121.115 5 89196.9
1135.927 20 88033.8 1120.707 3 89229.4 26095 11/2−115324°9/2
1135.835 1 88041.0 17409°11/2−105450 11/2 1120.577 2 89239.7
1135.654 1 88055.0 1120.463 1 89248.8 23647 13/2−112896°15/2
1135.268 10 88084.9 1120.300 4 89261.8 22080 7/2−111342°7/2
1135.004 300 88105.4 30505 11/2−118610°13/2 1120.257 1 89265.2 28936 3/2−118201°3/2
1134.751 8 88125.1 25033 9/2−113158°9/2 1119.698 2 89309.8 24470 7/2−113780°9/2
1134.462 4 88147.5 25409 7/2−113556°5/2 1119.636 30 89314.7 23844 9/2−113158°9/2
1134.298 50 88160.2 23175 13/2−111335°15/2 27138 7/2−116453°9/2
1133.483 30 88223.6 1119.555 1 89321.2
1133.272 20 88240.1 1119.470 10 89328.0 23442 11/2−112769°13/2
1132.851 40 88272.9 29267 5/2−117540°3/2 1119.241 40 89346.3 21535 9/2−110881°11/2
1131.973 1 88341.3 23651 7/2−111993°9/2 1119.153 40 89353.3 26446 7/2−115800°5/2
1131.719 2 88361.2 27138 7/2−115499°9/2 1119.054 100h 89361.2
1131.558 10 88373.7 30505 11/2−118879°9/2 1118.723 4 89387.6 21535 9/2−110922°9/2
1131.283 8 88395.2 22527 7/2−110922°9/2 1118.508 30 89404.8 26095 11/2−115499°9/2
1130.988 15 88418.3 29267 5/2−117686°5/2 1118.395 15 89413.8 22080 7/2−111494°5/2
1130.753 2 88436.6 29835 9/2−118271°11/2 1118.027 8 89443.3 24470 7/2−113914°9/2
1130.654 1 88444.4 23050 3/2−111494°5/2 1117.977 20 89447.3 23844 9/2−113291°7/2
1130.363 3 88467.2 1117.904 5 89453.1 24461 5/2−113914°5/2
1117.803 10 89461.2 1107.998 40 90252.9
1117.500 6 89485.5 20848 5/2−110333°7/2 1107.911 80 90260.0 25979 15/2−1 16238°15/2
25934 5/2−115420°7/2 25409 15/2−115670°7/2
1117.230 3 89507.1 23651 7/2−113158°3/2 1107.881 20c l 90262.4 23651 7/2−113914°5/2
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1116.382 30 89575.1 24250 3/2−113825°3/2 1106.948 2 90338.5 23442 11/2−113780°9/2
26446 7/2−116021°7/2 1106.755 3 90354.2
1116.264 3 89584.5 1106.567 80 90369.6 25033 9/2−115403°11/2
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1115.571 30 89640.2 23651 7/2−113291°7/2 1106.311 30 90390.5 25409 7/2−115800°5/2
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1114.912 60 89693.2 25979 15/2−115672°15/2 1105.962 200 90419.0
1114.581 30 89719.8 1105.754 6 90436.0
1114.436 1 89731.5 21611 5/2−111342°7/2 1105.492 2 90457.5 21535 9/2−111993°9/2
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1113.489 10 89807.8 21535 9/2−111342°7/2 1104.843 2000 90510.6 25979 15/2−116489°17/2
1112.965 10 89850.1 21418 5/2−111268°3/2 1104.721 10 90520.6
1112.582 10 89881.0 1104.525 40 90536.7 24788 9/2−115324°3/2
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1112.400 1 89895.7 22747 9/2−112643°11/2 1104.173 2 90565.5 20315 9/2−110881°11/2
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1112.162 10 89915.0 25409 7/2−115324°9/2 1103.660 40 90607.6
1112.050 5 89924.0 21418 5/2−111342°7/2 1103.605 10 90612.1 25409 7/2−116021°7/2
1111.902 10 89936.0 23844 9/2−113780°9/2 1103.553 20h 90616.4
1111.768 40 89946.8 1103.354 5 90632.7 24788 9/2−115420°7/2
1111.694 100 89952.8 23647 13/2−113600°13/2 1103.185 8 90646.6 20848 5/2−111494°5/2
1111.539 20 89965.4 1103.150 15 90649.5 37919 7/2−128568°9/2
1111.475 10 89970.5 27604 9/2−117574°11/2 1103.035 400 90659.0 23175 13/2−113833°15/2
1111.373 3 89978.8 23651 7/2−113630°7/2 1102.938 1 90666.9 27604 9/2−118271°11/2
1111.174 50 89994.9 28885 9/2−118879°11/2 1102.556 20 90698.3 21294 7/2−111993°9/2
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1111.035 1 90006.2 26446 7/2−116453°9/2 1101.939 20 90749.1 27452 5/2−118201°3/2
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1109.801 5 90106.2 27604 9/2−118468°9/2
1109.523 15 90128.8 23651 7/2−113780°9/2 1100.515 2 90866.6 27452 5/2−118318°7/2
1109.156 200 90158.6 28720 9/2−118879°11/2 1100.389 4 90877.0 30505 11/2−121382°9/2
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1098.573 40 91027.2 20315 9/2−111342°7/2 1091.097 1 91650.9
30505 11/2−121532°11/2 1091.047 2 91655.1 23844 9/2−115499°9/2
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1098.296 40 91050.1 19872 7/2−110922°9/2 1090.839 2 91672.6 23651 7/2−115324°9/2
1098.243 20 91054.5 1090.739 5 91681.0 21611 5/2−113291°7/2
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1097.967 1 91077.4 22080 7/2−113158°9/2 1090.536 200 91698.0 29835 9/2−121532°11/2
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1097.148 50 91145.4 24788 9/2−115933°11/2 36640 7/2−128352°9/2
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27138 7/2−118318°7/2 1089.844 4 91756.2 21535 9/2−113291°7/2
1096.367 10h 91210.3 22080 7/2−113291°7/2 23647 13/2−115403°11/2
1096.121 100 91230.8 27380 11/2−118610°13/2 1089.571 20 91779.2
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27604 9/2−118879°11/2 1088.933 30 91833.0 22080 7/2−113914°7/2
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1095.403 15 91290.6 1088.659 500 91856.1 29263 13/2−121119°7/2
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1094.058 3 91402.8 21755 11/2−113158°9/2 1087.465 2 91957.0
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36683 1/2−128214°3/2 1086.598 10 92030.4
1092.481 6 91534.8 1086.538 1 92035.4
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29835 9/2−121382°9/2 1086.321 3 92053.8 18241 11/2−110295°11/2
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24250 3/2−115800°5/2 1085.915 40 92088.2 23844 9/2−115933°11/2
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1091.676 1 91602.3 1085.435 1 92129.0 21535 9/2−113664°7/2
1091.555 30 91612.4 1085.380 1 92133.6
1091.477 70 91619.0 1085.283 2 92141.9
1091.430 30h 91622.9 1085.236 10 92145.8
1085.112 8 92156.4 1079.013 10 92677.3 21148 3/2−113825°3/2
1084.976 15 92167.9 29263 13/2−121431°13/2 1078.672 1 92706.6 17627 9/2−110333°7/2
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26095 11/2−118271°11/2 1077.972 2 92766.8
1084.417 500 92215.4 41026 17/2−133242°19/2 1077.851 1 92777.2
1084.262 8b l 92228.6 23175 13/2−115403°11/2 1077.782 40 92783.1
1084.204 7 92233.6 23175 15/2−115408°13/2 1077.742 4 92786.6 24788 9/2−117574°11/2
1084.157 20 92237.6 25409 7/2−117647°7/2 1077.623 2 92796.8 22527 7/2−115324°9/2
1084.071 1 92244.9 21535 9/2−113780°8/2 1077.571 30 92801.3 23651 7/2−116453°9/2
1083.936 20 92256.4 24470 7/2−116727°5/2 1077.451 10 92811.6 28720 9/2−121532°11/2
24788 9/2−117044°7/2 1077.382 20 92817.6 18063 9/2−110881°11/2
1083.876 40 92261.5 21294 7/2−113556°3/2 1076.902 40 92856.0 18063 9/2−110922°9/2
1083.815 10 92266.7 23532 5/2−115800°5/2 24788 9/2−117647°7/2
25934 5/2−118201°3/2 1076.831 3 92865.1
1083.747 20 92272.4 1076.790 10 92868.6 18241 11/2−111110°13/2
1083.697 2 92276.7 25409 7/2−117686°5/2 1076.708 2 92875.7
1083.548 5 92289.4 18241 11/2−110530°13/2 1076.325 30 92908.7 25409 7/2−118318°7/2
25033 9/2−117323°11/2 1076.l37 5 92925.0
1083.393 10 92302.6 21611 3/2−113914°5/2 1075.961 100 92940.2
1083.348 20 92306.4 1075.707 2 92962.1
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1082.881 40 92346.2 41026 17/2−133373°3/2 1075.532 10C l 92977.2 20848 5/2−113825°3/2
1082.824 8 92351.1 1075.448 1 92984.5
1082.704 50 92361.4 21238 13/2−113600°13/2 1075.147 1 93010.5 23442 11/2−116453°9/2
1082.445 8 92383.4 25934 5/2−118318°7/2 1074.855 100 93035.8
1082.091 20 92413.7 18921 15/2−111335°15/2 1074.726 5 93047.0 25033 9/2−118081°9/2
1082.045 10 92417.6 24309 3/2−116727°5/2 1074.669 40 93051.9
1081.807 3 92437.9 1074.590 7 93058.8 25409 7/2−118468°9/2
1081.746 10 92443.1 20848 5/2−113291°7/2 1074.515 100 93065.2 20848 5/2−113914°5/2
1081.574 3 92457.8 1074.474 5 93068.8 19700 11/2−112769°13/2
1081.356 20 92476.5 24250 3/2−116727°5/2 1074.353 7 93079.3 24461 5/2−117540°3/2
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1081.210 5 92489.0 23532 5/2−116021°7/2 1074.041 5 93106.3
1080.898 100 92515.7 26095 11/2−118610°13/2 1073.901 200 93118.4 27380 11/2−120498°13/2
1080.797 6 92524.3 35828 9/2−128352°9/2 1073.801 1 93127.1
1080.553 2 92545.2 1073.661 100 93139.3
1080.459 300 92553.3 35828 9/2−128381°11/2 1073.340 20 93167.1
1080.187 50 92576.6 22747 9/2−115324°9/2 1073.308 3 93169.9
1080.110 20 92583.2 24461 5/2−117044°7/2 1073.126 200 93185.7 22747 9/2−115933°11/2
1080.019 2 92591.0 1072.600 30 93231.4 24309 3/2−117540°3/2
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1079.727 10 92616.0 1072.425 5 93246.6 19649 17/2−112896°15/2
1079.698 10 92618.5 1072.342 20 93253.8 17627 9/2−110881°11/2
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1071.334 50 93341.6 1064.971 40 93899.3 19700°11/2−113600°13/2
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1068.641 80 93576.8 1062.911 10 94081.2
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1068.270 2 93609.3 1062.673 100 94102.3 18921 15/2−113023°17/2
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1067.910 5c l 93640.8 1062.095 80 94153.5 23532 5/2−117686°5/2
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1066.177 3 93793.0 1060.734 20 94274.3
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1065.791 30 93827.0 1060.250 30 94317.4
1065.625 10 93841.6 1060.160 40 94325.4
1065.586 10 93845.1 25033 9/2−118879°11/2 1060.077 20 94332.8 23442 11/2−117775°13/2
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1065.464 20 93855.8 1059.822 20 94355.5 19308 11/2−113664°11/2
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1058.510 100 94472.4 1052.133 5cl 95045.0
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1058.348 3 94486.9 21535 9/2−116021°7/2 1051.851 5 95070.5 21238 13/2−116309°11/2
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1057.783 100 94537.3 1051.347 5 95116.1 21611 5/2−116727°5/2
1057.721 100 94542.9 1051.313 20 95119.2 22527 7/2−117647°7/2
1057.490 10cl 94563.5 1051.093 10 95139.1
1057.456 20 94566.6 18990 7/2−113556°5/2 1050.961 5 95151.0 23050 3/2−118201°3/2
38785 15/2−133352°15/2 1050.881 10 95158.2 21294 7/2−116453°9/2
1057.310 400 94579.6 18063 9/2−112643°11/2 22527 7/2−117686°5/2
1057.228 200 94587.0 38785 15/2−133373°17/2 1050.770 1 95168.3 23442 11/2−118610°13/2
1057.080 40 94600.2 23175 13/2−117775°13/2 1050.652 7 95179.0
1056.815 10 94623.9 23647 13/2−118271°11/2 1050.595 3 95184.2 20315 9/2−115499°9/2
23844 9/2−118468°9/2 1050.433 20 95198.8
1056.619 8 94641.5 1050.323 100 95208.8
1056.518 100 94650.5 38701 13/2−133352°15/2 1050.107 70 95228.4 18063 9/2−113291°7/2
1056.314 20 94668.8 23532 5/2−118201°3/2 1050.056 20 95233.0
1056.211 50 94678.0 1049.914 1 95245.9
1056.030 80 94694.3 21238 13/2−115933°11/2 1049.546 20 95279.3
1055.857 20 94709.8 1049.456 100 95287.5 15045 5/2−110333°7/2
1055.668 20 94726.8 21294 7/2−116021°7/2 26095 11/2−121382°9/2
1055.297 20 94760.0 1049.228 20 95308.2 21418 5/2−116727°5/2
1055.143 300 94773.9 21535 9/2−116309°11/2 1049.086 2000 95321.1 19649 17/2−114970°19/2
1055.072 30 94780.3 1048.951 5 95333.3 22747 9/2−118081°9/2
1054.613 50 94821.5 20848 5/2−115670°7/2 1048.923 15 95335.9 26095 11/2−121431°13/2
1054.558 50cl 94826.5 16516 7/2−111342°7/2 1048.703 100cl 95355.9 15525 11/2−110881°11/2
1054.525 80cl 94829.4 23442 11/2−118271°11/2 1048.672 20cl 95358.7 16135 7/2−111494°5/2
18241 11/2−113600°13/2
1054.441 60 94837.0
1054.388 5 94841.7 1048.643 200cl 95361.3 17534 15/2−112896°15/2
1054.263 7 94853.0 1048.413 3 95382.2
1053.876 400 94887.8 23175 13/2−1 18063°15/2 1048.318 4 95390.9
1053.584 6 94914.1 1048.255 40 95396.6 15525 11/2−110922°9/2
1053.542 3 94917.9 18241 11/2−113158°9/2 1048.122 7 95408.7 22277 3/2−117686°5/2
21535 7/2−116453°9/2 1047.966 3 95422.9 18241 11/2−113664°11/2
1053.412 1 94929.6 1047.924 8 95426.8 15454 13/2−110881°11/2
1053.344 40 94935.8 26446 7/2−121382°9/2 1047.811 100 95437.1 19360 13/2,−114797°13/2
1053.260 2 94943.3 23442 11/2−118879°11/2
1047.752 1 95442.4 1041.872 100 95981.1
1047.625 10 95454.0 1041.740 100 95993.2 20315 9/2−116309°11/2
1047.375 10c l 95476.8 16516 7/2−111993°9/2 1041.625 100 96003.8 17627 9/2−113630°7/2
1047.352 10c l 95478.9 1041.563 20 96009.6 21238 13/2−117248°13/2
1047.244 3000 95488.7 17534 15/2−113023°17/2 1041.459 400 96019.1 21755 11/2−117775°13/2
1047.105 3 95501.4 1041.260 200 96037.5 17627 9/2−113664°11/2
1047.048 1 95506.6 1041.205 20 96042.6 19360 13/2−115403°11/2
1046.941 3 95516.4 1041.145 100 96048.1 19360 13/2−115408°13/2
1046.779 300 95531.1 1041.002 60 96061.3 25033 9/2−121095°11/2
1046.700 20 95538.4 1040.849 10 96075.4 2]611 5/2−117686°5/2
1046.594 1 95548.0 19872 7/2−115420°7/2 1040.646 50 96094.2 19308 11/2−115403°11/2
1046.543 1 95552.7 1040.591 100 96099.2 19308 11/2−115408°13/2
1046.195 500 95584.5 15525 11/2−111110°15/2 1040.437 6 96113.5
1046.113 10 95592.0 1040.387 3 96118.1
1046.014 30 95601.0 18063 9/2−113664°11/2 1040.247 20 96131.0 22747 9/2−118879°11/2
1045.900 10 95611.4 1040.180 100 96137.2 20315 9/2−116453°9/2
1045.858 100 95615.3 1040.139 50 96141.0
1045.765 5 95623.8 19700 11/2−115324°9/2 1040.082 5 96146.3
1045.707 20 95629.1 1040.051 5 96149.1 19872 7/2−116021°7/2
1045.511 10b l 95647.0 1039.943 10 96159.1
1045.447 20c l 95650.9 1039.778 50 96174.4
1045.411 300c l 95656.2 15454 13/2−111110°13/2 1039.380 10 96211.2
1045.248 8 95671.1 14859 11/2−110530°13/2 1039.253 60c l 96223.0 15045 5/2−111268°3/2
1045.181 1 95677.2 1039.200 50c l 96227.9 21418 5/2−117647°7/2
1045.049 1 95689.3 1039.156 100c l 96231.9 19700 11/2−115933°11/2
1044.993 4 95694.4 1039.033 5 96243.3
1044.909 30 95702.1 18211 5/2−113914°5/2 1038.962 10 96249.9 14859 11/2−111110°13/2
19700 11/2−115403°11/2 1038.773 3 96267.4 21418 5/2−Il7686°5/2
1044.851 10 95707.4 19700 11/2−115408°13/2 1038.451 10 96297.3 15045 5/2−111342°7/2
1044.608 30 95729.7 1038.356 7 96306.1
1044.239 50 95763.5 1038.293 1000 96311.9 19360 13/2−115672°15/2
1044.203 50 95766.8 1038.186 400 96321.8 14558 9/2−110881°11/2
1044.117 3 95774.7 14558 9/2−110333°7/2 1038.066 40 96333.0
1044.029 500 95782.8 17113 13/2−112896°15/2 1037.862 5 96351.9 21294 7/2−117647°7/2
1043.970 3 95788.2 21535 9/2−117323°11/2 1037.738 50c l 96363.4 14558 9/2−110922°9/2
1043.853 50 95798.9 19700 11/2−115499°17/2 1037.703 50c l 96366.7
1043.797 500 95804.1 18921 15/2−114725°17/2 1037.584 20 96377.7
1043.639 10 95818.6 21755 11/2−117574°11/2 1037.479 5 96387.5 22080 7/2−118468°9/2
1043.501 50 95831.2 1037.432 2 96391.9 21148 3/2−117540°3/2
1043.294 5 95850.2 21294 7/2−117686°5/2
1043.223 200 95856.8 16135 7/2−111993°9/2 1037.390 30 96395.8
1043.110 10 95867.2 1037.232 10 96410.4 31803 1/2−128214°3/2
1042.964 1000 95880.6 15454 13/2−111335°15/2 1036.823 15 96448.5
1042.819 10 95893.9 1036.749 5 96455.4
1042.651 7 95909.4 1036.623 10 96467.1 15525 11/2−111993°9/2
1042.478 100 95925.3 32288 3/2−128214°3/2 1036.410 60 96486.9 17113 13/2−113600°13/2
1042.306 2 95941.1 22527 7/2−118468°9/2 18921 15/2−115408°13/2
1042.250 20 95946.3 1036.174 40c l 96508.9
1042.031 3 95966.4 1036.151 40c l 96511.0
1041.963 60 95972.7 25409 7/2−121382°9/2 1035.765 8b l 96547.0
1035.675 30 96555.4 18241 11/2−114791°13/2 ]029.711 200 97114.6 16516 7/2−113630°7/2
1035.554 10 96566.7 20160 3/2−116727°5/2 1029.631 50 97122.2
1035.386 20 96582.3 1029.393 5 97144.6 19308 11/2−116453°9/2
1035.312 10 96589.2 19649 17/2−116238°15/2 1029.284 10h 97154.9
1035.260 10 96594.1 24788 9/2−121382°9/2 1029.212 100 97161.7 18241 11/2−115403°11/2
1035.111 50 96607.0 19700 11/2−116309°11/2 1029.158 30 97166.8 18241 11/2−115408°13/2
1035.063 2 96612.5 1029.032 2000 97178.7 13352 11/2−110530°13/2
1034.937 3 96624.2 19308 11/2−115933°11/2 1028.90] 100 97191.1 17534 15/2−114725°17/2
1034.826 5 96634.6 1028.711 8h 97209.0 18211 5/2−115420°7/2
1034.804 30 96636.6 1028.277 10 97250.1
1034.338 100 96680.2 18990 7/2−115670°7/2 1028.164 20c l 97260.8 18063 9/2−115324°9/2
1034.114 7 96701.1 1028.029 2 97273.5
1034.045 20c l 96707.6 21611 5/2−118318°7/2 1027.569 100b l 973]7.] 18921 15/2−116238°15/2
1034.012 10c l 967]0.7 1027.488 10h 97324.7
1033.827 10 96728.0 1027.226 40 97349.6
1033.787 5 96731.7 1027.146 3 97357.1 18063 9/2−115420°7/2
1033.738 20 96736.3 21535 9/2−118271°11/2 1026.922 2 97378.4
1033.680 20 96741.7 1026.706 1 97398.9
1033.652 10 96744.4 24788 9/2−121532°11/2 1026.477 20 97420.6 16135 7/2−113556°5/2
1033.582 100 96750.9 18921 15/2−115672°15/2 1026.415 1 97426.5
1033.424 5 96765.7 1026.333 2 97434.3 14558 9/2−111993°9/2
1033.329 30 96774.6 1026.251 ]00 97442.0 15454 13/2−112896°13/2
1033.238 50c l 96783.1 21535 9/2−118318°7/2 1026.183 500 97448.5 12846 9/2−110295°11/2
1033.207 20c l 96786.0 21294 7/2−118081°9/2 1026.030 100c l 97463.0 18990 7/2−116453°9/2
1033.070 15 96798.9 20848 5/2−117647°7/2 1025.999 10c l 97466.0
1032.977 2 96807.6 1025.945 4 97471.1 23647 13/2−121119°15/2
1032.798 70 96824.4 21238 13/2−118063°15/2 1025.694 40h 97495.0 16135 7/2−113630°7/2
1032.496 2 96852.7 1025.243 10 97537.8 23844 9/2−121382°9/2
1032.450 200 96857.0 1025.144 50 97547.3 19700 11/2−117248°13/2
1032.299 10 96871.2 1024.944 10h 97566.3
1032.221 7 96878.5 19360 13/2−116238°15/2 1024.711 10h 97588.5 18211 5/2−115800°5/2
1032.147 2 96885.4 1024.358 8 97622.1 19700 11/2−117323°11/2
1032.083 400 96891.4 1024.308 1 97626.9
1031.870 10 96911.4 24470 7/2−121382°9/2 1024.210 5 97636.2
1031.635 20 96933.5 21535 9/2−118468°9/2 1024.123 1 97644.5 16135 7/2−113780°9/2
1031.536 300 96942.8 13352 11/2−110295°11/2 1024.036 10 97652.8 23442 11/2−121095°11/2
1031.435 5 96952.3 1023.976 20 97658.5
1031.360 3 96959.4 1023.670 5c l 97687.7 23844 9/2−121532°11/2
1031.297 2 96965.3 1023.573 30 97697.0 17627 9/2−115324°9/2
1031.171 20 96977.1 1023.268 100 97726.1
1030.944 5 96998.5 1023.223 10 97730.4 23651 7/2−121382°9/2
1030.851 300 97007.2 20315 9/2−117323°11/2 1022.935 200 97757.9 13352 11/2−111110°13/2
1030.687 50 97022.7 16135 7/2−113158°9/2 1022.900 10c l 97761.3
1030.600 5 97030.8 1022.756 50 97775.0 19872 7/2−117647°9/2
1030.500 20 97040.3 16516 7/2−113556°5/2 1022.560 2 97793.8 17627 9/2 −115420°7/2
1030.329 20 97056.4 23442 11/2−120498°13/2 1022.395 2 97809.6 18211 5/2116021°7/2
1030.193 40 97069.2 ]022.301 4 97818.5
1030.125 3 97075.6 1022.146 4 97833.4
1030.047 20 97082.9 18241 11/2−115324°9/2 1022.077 4 97840.0
1029.785 20 97107.6 1021.865 5h 97860.3
1021.764 1 97867.0 18063 9/2−115933°11/2 1013.841 4 98634.8 22747 9/2−121382°9/2
1021.726 30 97873.6 17534 15/2−115408°13/2 1013.780 30 98640.7 13352 11/2−111993°9/2
19700 11/2−117574°11/2 1013.462 100 98671.7
1021.664 7 97879.5 1013.354 5 98682.2 17627 9/2−116309°11/2
1021.578 15 97887.8 19360 13/2−117248°13/2 1013.142 80 98702.8 19360 13/2−118063°15/2
1021.352 1000 97909.4 14859 11/2−112769°13/2 1012.832 5 98733.1 14558 9/2−113291°7/2
1021.150 20 97928.8 29835 9/2−128568°9/2
1021.039 7 97939.4 19308 11/2−117248°13/2 1012.760 1 98740.1 14859 11/2−113600°13/2
1020.990 50 97944.2 23175 13/2−121119°15/2 1012.300 2 98784.9 22747 9/2−121532°11/2
1020.609 10 97980.7 1012.101 400 98804.4 14859 11/2−113664°11/2
1020.252 5 98015.0 1011.809 50 98832.9 18211 5/2−117044°7/2
1020.189 5 98021.0 1011.307 10 98881.9
1020.052 40 98034.2 12846 9/2−110881°11/2 1011.012 60 98910.8
1019.982 2 98040.9 20160 3/2−118201°3/2 1010.914 10 98920.4 14859 11/2−113780°9/2
1019.890 10 98049.8 1010.560 50 98955.0 17534 15/2−116489°17/2
1019.699 1 98068.2 18241 11/2−116309°11/2 1010.282 20 98982.3
1019.631 60 98074.7 15525 11/2−113600°13/2 1010.153 20 98994.9
19700 11/2−117775°13/2 1010.034 20 99006.6 18241 11/2−117248°13/2
1019.534 60 98084.0 14558 9/2−112643°11/2 1009.750 1 99034.4
1019.474 1 98089.8 23442 11/2−121532°11/2 1009.570 1 99052.1
1019.311 100 98105.5 1009.029 1 99105.2 14558 9/2−113664°11/2
1019.207 2 98115.5 1008.938 1 99114.1
1018.968 200 98138.5 15525 11/2−113664°11/2 1008.742 15 99133.4
1018.890 3 98146.0 15454 13/2−113600°13/2 1008.612 500 99146.2 12846 9/2−111993°9/2
1018.544 1 98179.4 1008.536 3 99153.6 16516 16/2−115670°7/2
1018.373 5 98195.8 1008.285 2 99178.3 19700 11/2−118879°11/2
1018.242 100 98208.5 19872 7/2−118081°9/2 1008.220 20h 99184.7
1017.853 2 98246.0 15045 5/2−113291°7/2 1007.847 40 99221.4 14558 9/2−113780°9/2
18063 9/2−116309°11/2 1007.459 40 99259.6 18063 9/2−117323°11/2
1017.516 10 98278.6 21238 13/2−120498°13/2
1017.396 5c l 98290.1 17113 13/2−115403°11/2 1007.392 1 99266.2
1017.345 50c l 98295.1 17113 13/2−1 15408°13/2 1007.336 7 99271.7 155251 11/2−114797°13/2
1017.310 20c l 98298.4 14859 11/2−113158°9/2 1007.088 1 99296.2
1017.231 5 98306.1 17627 9/2−115933°11/2 1006.829 3 99321.7
1016.991 10 98329.3 1006.681 5 99336.3
1016.714 5 98356.1 1006.383 3 99365.7
1016.471 200 98379.6 15454 13/2−1 13833°15/2 1006.221 3 99381.7
1015.785 20 98446.0 19872 7/2−118318°7/2 1005.857 10 99417.7 13352 11/2−112769°13/2
1015.730 10 98451.4 17627 9/2−117044°7/2
1015.699 2 98454.4 1005.676 5 99435.6 18211 5/2−117647°13/2
1015.469 5 98476.7 1005.584 1 99444.7
1015.340 1 98489.2 1005.280 3 99474.8
1015.274 30 98495.6 1004.912 30 99511.2
1015.170 8 98505.7 1004.533 2 99548.8 1398°11/2−100947 9/2
1015.046 3 98517.7 29835 9/2−128352°9/2 1004.259 1 99575.9
1014.815 3 98540.1 1003.399 8 99661.2
1014.750 10 98546.4 29835 9/2−128381°11/2 1003.258 10 99675.2
1014.622 30 98558.9 17113 13/2−115672°115/2 1002.876 1 99713.2
1014.231 10cl 98596.9 19872 7/2−118468°9/2 1002.724 1 99728.3
1014.202 100 98599.7 14558 9/2−113158°9/2 1002.035 20b l 99796.9
1001.528 4 99847.4 979.694 2 102072.7
1001.224 50 c l 99877.7 979.218 1 102122.3 1930811/2 – 121431°13/2
1001.197 20 c l 99880.4 264467/2 – 128568°9/2
1000.630 80 99937.0 1485911/2 – 114797°13/2 978.001 4 102249.4 1552511/2 – 117775°13/2
165167/2 – 116453°9/2 977.928 7 102257.0 1824111/2 – 120498°13/2
1000.525 7 99947.5 176279/2 – 117574°11/2 976.676 10 102388.1 1485911/2 – 117248°13/2
1000.351 3 99964.9 974.231 2 102645.1
1000.023 5 99997.7 215359/2 – 121532°11/2 973.100 3 102764.4 145589/2 – 117323°11/2
999.499 30 100050.1 972.263 1 102852.8
999.118 3 100088.3 212947/2 – 121382°9/2 972.148 2 102865.0
2893°13/2 – 10298113/2 971.675 10 102915.1 1485911/2 – 117775°13/2
998.931 10 100107.0 182115/2 – 118318°7/2 971.358 1 102948.6
998.827 1 100117.4 970.727 5 103015.6 145589/2 – 117574°11/2
997.048 10 100296.1 970.065 10 103085.9
996.885 1 100312.5 128469/2 – 113158°9/2 969.090 20 103189.6 1824111/2 – 121431°13/2
1335211/2 – 113664°11/2 968.140 2 103290.8 1824111/2 – 121532°11/2
996.425 5 100358.8 966.531 2 103462.8 128469/2 – 116309°11/2
996.321 10 100369.3 1824111/2 – 118610°13/2 965.313 10 103593.3 247889/2 – 128381°11/2
995.957 2 100405.9 180639/2 – 118468°9/2 964.531 1 103677.3
995.571 2 100444.9 128469/2 – 113291°7/2 963.849 10 103750.7 1485911/2 – 118610°13/2
995.520 5 h 100450.0 954.857 8 104727.7 128469/2 – 117574°11/2
995.377 3 100464.4 1485911/2 – 115324°9/2 936.296 5 106803.8
994.598 70 100543.1 1485911/2 – 115403°11/2 935.046 3 106946.6
994.545 6 100548.5 1485911/2 – 115408°13/2 934.970 5 106955.3
994.380 3 100565.2 4453°15/2 – 10501913/2 934.074 2 107057.9 212947/2 – 128352°9/2
994.123 1 100591.2 161357/2 – 116727°5/2 932.196 3 107273.6 212947/2 – 128568°9/2
2893°13/2 – 10348415/2 931.153 40 107393.7 2597915/2 – 133373°17/2
994.075 2 100596.0 4453°15/2 – 10504915/2 920.003 1 108695.3
993.795 100 100624.4 150455/2 – 115670°7/2 914.635 1 109333.2
993.642 2 100639.9 1485911/2 – 115499°9/2 913.825 60 109430.1
993.600 1 100644.1 176279/2 – 118271°11/2 912.340 1 109608.3
993.422 4 100662.2 1711313/2 – 117775°13/2 909.894 4 109902.9
992.169 5 100789.3 9/2 – 1007887/2 907.103 1 110241.1 182115/2 – 128453°7/2
992.085 30 100797.8 1970011/2 – 120498°13/2 904.386 2 110572.2
990.750 5 100933.6 128469/2 – 113780°9/2 903.766 2 110648.1
989.627 2 101048.2 902.999 3 110742.1
989.381 20 101073.3 1485911/2 – 115933°11/2 896.172 1 111585.7
988.353 2 101178.4 894.647 3 111775.9
988.001 60 101214.5 271387/2 – 128352°9/2 890.276 1 112324.7
987.960 3 101218.7 1398°11/2 – 10261711/2 889.296 2 112448.5
987.344 4 101281.8 888.257 1 112580.0
987.023 2 101314.8 271387/2 – 128453°7/2 887.360 4 112693.8
985.880 2 101432.2 1398°11/2 – 1028309/2 886.233 2 112837.1
985.120 3 101510.5 198727/2 – 121382°9/2 885.575 2 112921.0
983.927 3 101633.6 885.279 20 112958.7
983.461 8 101681.7 1970011/2 – 121382°9/2 884.158 40 113102.0
982.796 4 101750.5 145589/2 – 116309°11/2 883.838 3 113142.9
982.709 20 101759.5 1936013/2 – 121119°15/2 882.990 3 113251.6
982.340 1 101797.8 1552511/2 – 117323°11/2 882.336 1 113335.5
979.899 1 102051.3 1335211/2 – 115403°11/2 881.591 3 113431.3
880.303 10 113597.2 856.826 1 116709.8
879.840 2 113657.0 856.740 2h 116721.5
879.441 10 113708.6 1485911/2− 128568°9/2 856.285 1 116783.5
878.749 1 113798.1 856.192 20 116796.2
878.215 10 113867.3 855.808 3 116848.6
876.355 2 114109.0 855.718 20 116860.9
876.305 1 114115.5 855.422 1 116901.4
875.339 1 114241.4 855.038 1 116953.9
874.680 2 114327.5 854.692 1 117001.2
874.481 1 114353.5 854.254 1 117061.2
874.173 1 114393.8 853.782 2 117125.9
874.147 1 114397.2 853.413 10 117176.6
874.051 1 114409.8 853.318 2 117189.6
873.749 1 114449.3 853.229 4 117201.8
872.569 1 114604.1 853.120 1 117216.8
872.104 30 114665.2 853.054 1 117225.9
871.932 1 114687.8 852.968 1 117237.7
871.699 3 114718.5 851.867 2 117389.2
871.069 2 114801.5 851.524 2 117436.5
870.893 1 114824.7 851.438 3 117448.4
869.598 1 114995.7 851.361 8 117459.0
868.558 10 115133.4 851.301 200 117467.3
868.490 1 115142.4 851.168 15 117485.6
868.414 1 115152.4 850.903 5 117522.2
866.285 4 115435.4 850.331 5 117601.3
864.910 1 115619.0 850.156 10 b l 117625.5
864.582 1 115662.8 850.061 1 117638.6
864.320 1 115697.9 850.011 1 117645.5
863.941 8 115748.6 849.895 20 117661.6
863.349 1 115828.0 849.803 20 117674.3
863.131 3h 115857.3 848.718 1 117824.8
862.823 2 115898.6 848.657 10 117833.2
862.427 2 115951.8 848.440 1 117863.4
862.227 1 115978.7 847.729 1 117962.2
861.535 2 116071.9 847.474 3 117997.7
861.498 1 116076.9 846.565 2 118124.4
861.307 1 116102.6 846.209 2 118174.1
860.721 2 116181.7 845.710 7 118243.8
860.522 2 116208.5 845.231 10 118310.8
860.313 3 116236.8 845.066 5 118334.0
859.956 2 116285.0 844.788 3 118372.9
859.730 3 116315.6 844.395 100 118428.0
859.541 1 116341.2 843.998 2 118483.7 .
859.299 1 116373.9 843.887 10 118499.3
859.102 7 116400.6 843.542 40 b l 118547.7
857.723 8 116587.8 843.338 200 118576.4
857.614 1 116602.6 843.312 10 c l 118580.1
857.348 5 116638.8 842.497 40 118694.8
857.210 1 116657.5 842.384 1 118710.7
857.091 1 116673.7 842.130 1 118746.5
841.990 3 118766.2 832.631 2 120101.2
841.779 1 118796.0 832.164 1 120168.6
841.628 20 b l 118817.3 832.013 1 120190.4
841.426 8 118845.9 831.919 3 120204.0
841.015 4 118903.9 831.846 10 120214.6
840.890 30 c l 118921.6 831.266 200 120298.4
840.871 10 c l 118924.3 831.136 1 120317.2
840.459 6 118982.6 830.927 2 120347.5
840.282 8 119007.7 830.386 1 120425.9
840.057 60 119039.5 830.061 2 120473.1
839.995 60 119048.3 829.325 3 120580.0
839.619 1 119101.6 828.364 50 120719.9
839.529 1 119114.4 828.169 1 120748.3
839.474 2 119122.2 828.134 1 120753.4
839.358 30 h 119138.7 827.345 1 120868.6
838.933 30 119199.0 825.989 30 121067.0
838.809 1 119216.6 825.404 7 121152.8
837.712 2 119372.8 824.880 3 121229.8
837.223 3 119442.5 824.542 1 121279.4
836.744 8 119510.9 823.117 1 121489.4
836.295 1 119575.0 822.725 2 121547.3
835.843 15b l 119639.7 822.467 15 121585.4
834.617 1 119815.4 821.942 10 121663.1
833.478 10 119979.2
833.190 10 120020.6
a

For doubly-classified lines, the wavelength is entered only once.

In table I, newly classified lines from the longer wavelength list of reference 1 are given. Among these are lines having hfs, for which the following additional notations in the intensity column appear:

Table I.

Newly classified lines of Pr iii, λ > 2103Å

λair
Intensity σ
(cm-1)
Classification λair
Intensity σ
(cm-1)
Classification
4650.609 9* ν 21496.54 13887°7/2 – 353845/2 3011.282 20*v 33198.77 502275/2− 83426°5/2
4334.697 9w 23063.18 11761°9/2−348257/2 3006.469 60 * r 33251.92 387267/2− 71978°7/2
3607.068 4*r 27715.46 520263/2− 79742°1/2 3004.002 10* r 33279.22 520263/2− 85306°5/2
3577.336 8*ν 27945.80 336595/2−61605°7/2 3002.106 2 33300.24 386945/2−71994°5/2
3567.897 1bl 28019.71 508691/2− 78889°3/2 2982.236 9*r 33522.11 458443/2− 79366°5/2
3565.845 9*ν 28035.78 5065813/2−78694°11/2 2980.583 5* r 33540.70 508691/2− 84409°3/2
3564.405 30* r 28047.13 5064711/2−78694°11/2 2978.907 9*v 33559.57 458075/2− 79366°5/2
3510.532 20* v 28477.56 5065813/2−79136°13/2 2976.347 40* v 33588.43 458075/2− 79395°7/2
3509.142 3* r 28488.86 5064711/2−79136°13/2 2963.032 2 33739.36 3664213/2−7038113/2
3462.700 1*r 28870.93 520263/2− 80897°3/2
3462.432 1* r 28873.16 508691/2− 79742°1/2 2940.896 7*v 33993.30 513125/2− 85306°5/2
3412.607 7*r 29294.71 508691/2− 80164°3/2 2933.827 1 34075.21 379197/2− 71994°5/2
3402.969 50* r 29377.68 520263/2− 81404°5/2 2930.192 50* v 34117.48 352919/2− 69408°11/2
3379.131 50*v 29584.91 513125/2− 80897°3/2 2924.661 2*v 34181.99 502273/2− 84409°3/2
3377.141 100*v 29602.34 458075/2− 75409°3/2 2910.612 70*v 34346.98 288859/2− 63232°7/2
3367.350 200* v 29688.42 352919/2− 64979°7/2 2890.842 2 34581.86 390249/2− 73606°9/2
3359.973 3*v 29753.59 458075/2− 75560°5/2 2885.001 6* r 34651.87 387267/2− 73378°7/2
3358.083 30 * r 29770.34 458443/2− 75614°5/2 2876.229 1 34757.55 69138°9/2>−103895°7/2
3353.866 50*v 29807.77 458075/2− 75614°5/2 2857.700 4 34982.90 370115/2− 71994°5/2
3322.203 6*v 30091.85 513125/2−81404°5/2 2851.486 6* r 35059.13 3346611/2− 68525°11/2
3161.330 7* r 31623.10 508691/2− 82492°3/2 2838.461 7* r 35220.00 358017/2− 71021°9/2
3147.878 9*v 31758.23 352913/2− 67049°3/2 2827.668 3 35354.43 366407/2 71994°5/2
3122.646 7*v 32014.84 458075/2− 77821°5/2 2819.342 2 35458.83 379197/2− 73378°7/2
3108.884 7* r 32156.56 508691/2−83025°3/2 2812.509 9*v 35544.98 3276013/2−68305°15/2
3098.474 3*v 32264.59 502273/2− 82492°3/2 2803.090 3 35664.41 487455/2− 84409°3/2
3087.175 1*r 32382.56 520263/2− 84409°3/2 2797.924 1bl 35730.25 65935°7/2−101665°5/2
3061.277 9*v 32656.61 458075/2− 78463°7/2 2784.154 1 35906.96 3973211/2−75640°11/2
3039.680 7 32888.63 458059/2− 78694°11/2 2776.318 4 36008.30 484013/2− 84409°3/2
3036.913 8 32918.59 449035/2− 77822°5/2 2774.708 4 36029.19 3973211/2−75762°9/2
3018.701 20*v 33117.19 513125/2− 84430°7/2 2766.880 3 36131.12 358633/2−71994°5/2
2741.262 1 36468.76 66148°13/2−10261711/2 2564.509 4 38982.14 65922°11/2−10490411/2
2734.368 8 36560.70 487455/2−85306°5/2 2563.474 6 38997.87 3664213/2−75640°11/2
2732.952 1 36579.64 68987°7/2−1055669/2 2561.773 6 39023.77 63593°9/2−10261711/2
2720.409 1 36748.29 66735°13/2−10348415/2 2559.865 1 39052.85 68801°7/2−1078549/2
2712.384 2 36857.01 351373/2−71994°5/2 2559.277 2 39061.82 63768°7/2−1028309/2
2707.422 2 36924.56 68525°11/2−10545011/2 2558.675 5 39071.01 61717°5/2−1007887/2
2706.611 5 36935.62 3667011/2− 73606°9/2 2558.537 4 39073.12 61357°9/2−1004309/2
2704.403 1 36965.78 366407/2−73606°9/2 2557.323 3 39091.67 36670111/2−75762°9/2
2699.300 5*r 37035.65 387267/2−75762°9/2 2556.813 4 39099.46 64235°9/2−1033359/2
2687.981 6*v 37191.60 384489/2−75640°11/2 2555.353 7 39121.80 62558°11/2−10168013/2
2687.506 1 37198.17 63232°7/2−1004309/2 2554.979 1 39127.53 386945/2−77822°5/2
2686.455 3 37212.73 63576°5/2−1007887/2 2549.531 1 39211.13 67870°9/2−1070819/2
2673.055 5 37399.26 65909°5/2−1033087/2 2545.790 9 39268.75 64215°13/2−10348415/2
2666.218 2 37495.16 63576°5/2−1010715/2 2543.644 1 39301.88 66148°13/2−10545011/2
2663.415 3 37534.62 65295°7/2−1028309/2 2541.080 8 39341.53 61605°7/2−1009479/2
2650.675 1 37715.01 63232°7/2−1009479/2 2540.311 7 39353.44 61717°5/2−1010715/2
2647.019 1 37767.10 68978°5/2−1067455/2 2539.759 5 39361.99 68492°7/2−1078549/2
2640.290 4 37863.35 68801°7/2−1066657/2 2537.099 2 39403.26 3973211/2−79136°13/2
2634.707 5 37943.58 69138°9/2−1070819/2 2536.648 7 39410.26 3972515/2−79136°13/2
2629.918 1 38012.66 65295°7/2−1033087/2 2534.759 9 39439.63 62240°11/2−10168013/2
2626.210 2 38066.33 62558°11/2−10062511/2 2531.925 7 39483.77 66148°13/2−10563213/2
2626.016 1 38069.14 68676°5/2−1067455/2 2530.464 9 39506.57 449035/2−84409°3/2
2624.624 1 38089.33 63576°5/2−1016655/2 2529.726 4 39518.09 63816°11/2−1033359/2
2622.448 5 38120.94 68544°9/2−1066657/2 2529.430 2 39522.72 68331°7/2−1078549/2
2619.706 3 38160.83 69138°9/2−1072997/2 2529.110 9 39527.72 65922°11/2−10545011/2
2619.162 1 38168.76 66735°13/2−10490411/2 2528.330 2 39539.91 63768°7/2−1033087/2
2618.891 2 38172.71 68492°7/2−1066657/2 2526.636 1 39566.42 63768°7/2−1033359/2
2617.740 3 38189.49 62240°11/2−1004309/2 2525.123 8 39590.12 61357°9/2−1009479/2
2616.047 1 38214.21 63232°7/2−1014467/2 2521.677 1 39644.22 65922°11/2−1055669/2
2613.377 3 38253.24 62535°9/2−1007887/2 6l:l4Y2°7/2−1067455/2 2521.021 7 39654.54 64150°11/2−10380513/2
2520.662 2 39660.18 64235°9/2−1038957/2
2611.527 1 38280.34 68801°7/2−1070819/2 2517.515 8 39709.76 65922°11/2−10563213/2
2610.351 8 38297.59 66301°15/2−10459813/2 2516.337 1 39728.35 61717°5/2−1014467/2
2606.515 5 38353.95 350247/2−73378°7/2 2515.487 7 39741.77 63593°9/2−1033359/2
2604.457 3 38384.25 62240°11/2−10062511/2 2509.243 7 39840.66 61605°7/2−1014467/2
2603.320 2 38401.01 67049°9/2−10545011/2 2505.358 1 39902.44 379197/2−77822°5/2
2603.263 1 38401.86 64215°13/2−10261711/2 2503.391 5 39933.78 358289/2−75762°9/2
2602.446 2 38413.91 68331°7/2−1067455/2 2502.526 5 39947.59 61717°5/2−1016655/2
2602.224 I 38417.19 371973/2− 75614°5/2 2499.968 10 39988.46 63816°11/2−10380513/2
2599.960 1 38450.64 66148°13/2−10459813/2 2499.686 6 39992.97 3870113/2−78694°11/2
2595.448 1 38517.48 67049°9/2−1055669/2 2498.297 1 40015.20 68544°9/2−10855911/2
2592.832 5 38556.34 68525°11/2−1070819/2 2497.143 2 40033.69 68525°11/2−10855911/2
2592.424 2 38562.40 62062°9/2−10062511/2 2495.584 2 40058.70 67240°7/2−1072997/2
2590.248 3 38594.80 64235°9/2−1028309/2 2495.508 10 40059.92 61605°7/2−1016655/2
2589.900 4 38599.98 65295°7/2−1038957/2 2493.685 6 40089.20 61357°9/2−1014467/2
2584.766 3 38676.65 65922°11/2−10459813/2 2491.326 6 40127.16 63768°7/2−1038957/2
2582.712 1 38707.40 68374°9/2−1070819/2 2487.750 6 40184.84 68374°9/2−10855911/2
2577.866 2 38780.16 67965°3/2−1067455/2 2482.577 1 40268.57 60520°7/2−1007887/2
2576.922 3 38794.37 67870°9/2−1066657/2 2480.487 9 40302.49 63593°9/2−1038957/2
2576.109 1 38806.61 68492°7/2−1072997/2 2475.946 1 40376.40 62240°11/2−10261711/2
2574.917 7 38824.58 61605°7/2−1004309/2 2474.320 1 40402.94 449035/2− 85306°5/2
2572.074 1 38867.49 68987°7/2−1078549/2 2472.376 5 40434.70 3870113/2−79136°13/2
2570.170 4 38896.28 66735°13/2−10563213/2 2469.796 1 40476.94 351373/2− 75614°5/2
2565.796 1 38962.58 366525/2−75614°5/2 2465.272 2 40551.21 60520°7/2−1010715/2
2565.346 1 38969.42 3667011/2−75640°11/2 2462.895 10 40590.35 350247/2− 75614°5/2
2460.719 10 40626.24 446797/2 – 853065/2 2320.906 2 43073.39 62558°11/2−10563213/2
2451.381 2 40780.98 60166°9/2−1009479/2 2317.199 9 43142.29 60166°9/2−103308 7/2
2449.908 4 40805.50 62678°13/2−10348415/2 2315.774 2 43168.84 60166°9/2−1033359/2
2449.636 1 40810.03 370115/2−77822°5/2 2310.248 3 43272.09 58174°9/2−1014467/2
2442.697 1 40925.95 60520°7/2−1014467/2 2309.386 1 43288.24 58158°7/2−1014467/2
2432.678 7 41094.49 345205/2−75614°5/2 2308.670 5 43301.66 345205/2−77822°5/2
2431.260 8 41118.46 2926313/2−70381°13/2 2307.384 6 43325.79 62240°11/2−1055669/2
2423.700 3 41246.71 62558°11/2−10380513/2 2307.277 2 43327.80 400985/2− 83426°5/2
2422.883 6 41260.61 60419°11/2−10168013/2 2304.201 6 43385.64 60419°11/2−10380513/2
2416.527 1 41369.13 65295°7/2−1066657/2 2303.121 7 43405.98 410237/2− 84430°7/2
2384.757 5 41920.21 62678°13/2−10459813/2 2296.541 2 43530.34 63768°7/2−1072997/2
2382.979 3 41951.49 61357°9/2−1033087/2 2295.856 4 43543.32 298359/2− 73378°7/2
2382.588 6 41958.37 358633/2−77822°5/2 2287.502 2 43702.33 64857°9/2−10855911/2
2380.051 4 42003.09 65295°7/2−1072997/2 2261.530 6 44204.17 402053/2− 84409°3/2
2378.867 6 42024.00 3667011/2−78694°11/2 2257.546 4 44282.17 410237/2− 85306°5/2
2369.081 10 42197.57 60419°11/2−10261711/2 2257.342 5w 44286.18 2609511/2−70381°13/2
2367.497 3 42225.80 62678°13/2−10490411/2 2251.445 8 44402.16 259795/2−70381°13/2
2365.796 8 42256.16 58174°9/2−1004309/2 2243.485 lw 44559.69 398709/2−84430°7/2
2360.786 5 42345.83 62558°11/2−10490411/2 2238.560 6 44657.71 287209/2− 73378°7/2
2357.627 3 42402.56 410237/2−83426°5/2 2227.201 3 44885.45 287209/2−73606°9/2
2357.176 3 42410.67 60419°11/2−1028309/2 2211.332 1 45207.52 400985/2−85306°5/2
2354.942 6 42450.90 58174°9/2−10062511/2 2208.939 6 45256.49 3050511/2−75762°9/2
2354.128 2 42465.58 3667011/2−79136°13/2 2201.678 7w 45405.73 390249/2−84430°7/2
2353.942 6 42450.90 60166°9/2−10261711/2 2196.775 7 45507.06 379197/2− 83426°5/2
2345.001 4 42630.85 58158°7/2−1007887/2 2176.676 3 45927.22 298359/2−75762°9/2
2337.295 2 42771.39 62678°13/2−10545011/2 2162.611 2 46225.88 2738011/2−73606°9/2
2335.873 6 42797.43 350247/2−77822°5/2 2155.562 5 46377.03 2926313/2−75640°11/2
2332.129 1 42866.12 358289/2−78694°11/2 2148.203 1 46535.89 2344211/2−69978°11/2
2330.393 6 42898.06 64401°5/2−1072997/2 2135.942 2 46802.99 2317513/2−69978°11/2
2329.568 7 42913.25 58158°7/2−1010715/2
2329.456 2 42915.31 60419°11/2−1033359/2
2325.016 2 42997.26 64857°9/2−1078549/2
2324.807 1 43001.12 2738011/2−70381°13/2
2324.438 7 43007.95 62558°11/2−1055669/2
2321.717 5 43058.35 289363/2−71994°5/2
  • *r = strongest component of flag pattern shaded to red,

  • *v = strongest component of flag pattern shaded to violet,

3. New Energy Levels

The techniques for using electronic computers in the search for energy levels are now well-known. The method [9] by which the line-list is added to (or subtracted from) the known levels to obtain statistically significant numbers of repeating sums (or differences) was used here. The selection of real levels is based on the probability of the occurrence of a chain of repeating sums of a particular length and tolerance as well as the line intensity distribution in the chain. This method yields many energy levels, but there always remain a certain number which make few combinations (particularly levels of high J-value) and which must be sought by intensity criteria alone according to the appropriate selection rules, and predicted positions.

Most of the observed lines of Pr iii with moderate to strong intensity in the vacuum ultraviolet range are due to transitions to the 4f25d configuration. The highest density of lines occurs between 1000 and 1200 Å, the main region of the 4f25d—4f25f transition array. This is analogous to Ce iii where the same region contained the 4f5d—4f5f array [3]. In both cases, the array is well isolated and easily accessible, so that a thorough description of it can be obtained. With these lines 74 levels of the 4f25f configuration were found.

Designations in LS-coupling were assigned to these levels on the basis of relative line intensities. Although final designations are given in the J1l scheme in table II, the experimentally derived LS names were important in relating the theoretical calculation of this configuration to the observed levels. The calculated LS composition, while showing less purity than J1l, gave single designations for many levels exceeding 50 percent. The largest LS component for each level has been included in table VI.

Table II.

New energy levels of Pr iii

Configuration Designation J Energy/he (cm−1)
4f26s (1D2)1/2 212 a45807.1
(3P1)1/2 012 50869.3
(3P2)1/2 212 51312.8
(3P2)1/2 112 52026.9
5d24f (3F)2 512 68238.12
(3F)4 712 68305.1
(1D)2 512 69408.51
(3D)2 212 69681.6
(3F)4 512 69978.08
(3F)2 612 70381.48
(3P)4 412 71021.1
(3P)4 312 71385.6
(3P)2 112 71501.0
(1D)2 212 71994.81
(1G)2 412 73029.9
(1G)2 312 73378.42
(1D)2 412 73606.17
(3P)4 512 73609.1
(3P)4 212 74105.2
(3P)4 112 74463.7
(3P)4 312 75294.0
4f26p (1D2)1/2° 212 75614.81
5d24f (3F2)H° 512 75640.00
(1G)2 412 75762.23
(3F)2 112 76892.4
(1G)2 212 77822.00
(1G)2 312 78463.6
(1G)2 512 78694.57
(1G)2 612 79136.23
4f 26p (1D2)3/2° 212 79366.65
5d24f (1G)2 112 82492.4
4f26p (3P1)3/2° 212 83426.55
(3P1)3/2° 112 84409.93
(3P2)3/2° 312 84430.98
(3P2)3/2° 212 85306.10
4f5d6s (3G)4 312 87511.6
(3G)4 412 88220.2
(3F)4 412 88948.6
(3G)4 512 90119.8
(3H)2 412 90629.2
(3G)2 312 92441.7
5d24f (1S)2 212 92554.8
4f5d6s (3H)2Ho 512 93296.5
5d24f (1S)2 312 93967.4
4f5d6s (3G)2 412 95147.9
(1F)2 312 96830.5
4f26d (3H4.)3/2 412 100430.29
(3H4)3/2 512 100625.04
(3H4)3/2 312 100788.95
(3H4)5/2 412 100947.18
(3H4)3/2 212 101071.43
(3H4)5/2 312 101446.27
(3H4)5/2 212 101665.58
(3H4)5/2 612 101680.38
(3H5)3/2 512 102617.24
(3H5)3/2 412 102830.43
(3H5)3/2 312 103308.53
(3H5)5/2 412 103335.06
(3H5)5/2 712 103484.19
(3H5)5/2 612 103805.38
(3H5)5/2 312 103895.83
4f27s (3H6)1/2 612 104598.99
4f26d (3H6)3/2 512 104904.55
(3H6)5/2 512 105450.18
(3H6)3/2 412 105566.62
(3H6)5/2 612 105632.16
4f27s (3F3)1/2 312 106665.07
(3F3)1/2 212 106745.65
(3F4)1/2 412 107081.94
4f26d (3F3)3/2 312 107299.07
(3F4)3/2 412 107854.46
(3F4)5/2 512 108559.40
4f25f (3H4)[6]° 512 110295.1
[4]° 312 110333.5
[7]° 612 110530.9
[5]° 512 110881.1
[4]° 412 110922.5
[6] ° 612 111110.3
[2]° 112 111268.7
[7]° 712 111335.1
[3]° 312 111342.8
[2]° 212 111494.8
[5]° 412 111993.0
(3H5)[5]° 512 112643.2
[7]° 612 112769.7
[7]° 712 112896.3
[8]° 812 113023.5
[5]° 412 113158.8
[4]° 312 113291.8
[3]° 212 113556.8
[6]° 612 113600.3
[3]° 312 113630.9
[6]° 512 113664.3
[4]° 412 113780.5
[2]° 112 113825.5
[8]° 712 113833.9
[2]° 212 113914.1
(3H6) [8]° 812 114725.6
[6]° 612 114797.2
[9]° 912 114970.7
[4]° 412 115324.3
[6]° 512 115403.3
[7]° 612 115408.4
[3]° 312 115420.8
[5]° 412 115499.8
(3F2)[4]° 312 115670.0
(3H6) [8]° 712 115672.2
[3]° 212 115800.0
[5]° 512 115933.2
[4]° 312 116021.8
[7]° 712 116238.8
(3F2) [5]° 512 116309.2
[4]° 412 116453.2
(3H6) [9]° 812 116489.8
(3F2) [3]° 212 116727.1
[3]° 312 117044.6
(3F3) [6]° 612 117248.2
[6]° 512 117323.1
[1]° 112 117540.5
[5]° 512 117574.5
[4]° 312 117647.2
[3]° 212 117686.4
(3F4) [6]° 612 117775.3
[7]° 712 118063.0
(3F3) [4]° 412 118081.1
[2]° 112 118201.4
(3F4) [5]° 512 118271.6
(3F3) [3]° 312 118318.6
(3H4) [5]° 412 118468.8
[7]° 612 118610.9
[5]° 512 118879.3
(1G4)[6]° 612 120498.7
[5]° 512 121095.2
712 121H9.2
[5]° 412 121382.6
[7]° 612 121431.2
[6]° 512 121532.5
(1D2) [1]° 112 128214.2
[5]° 412 128352.8
[5]° 512 128381.6
[4]° 312 128453.2
[4]° 412 128568.6
(1I6) [9]° 812 133194.3
[9] ° 912 133242.3
[8] ° 712 133352.2
[8] ° 812 133373.0
4f28s (3H4)1/2 412 129106.1
(3H5)1/2 512 131200.3
(3H5)I/2 412 131226.3
(3H6)1/2 612 133393.2
(3H6)1/2 512 133503.9
(3F3)1/2 312 135445.2
(3F4)1/2 412 135868.8
a

Level values are given to two decimal places when derived from wavelengths > 2100 Å having no hfs.

Table VI.

Calculated energy levels and compositions of the 4f25f configuration of Pr iii. Designations are in J1l-coupling

J Levels
calculated
(cm−1)
Levels observed
(cm−1)
Obs. minus Calc. Composition in j1l-coupling Largest component in LS-coupling
012 111748 3H4[1] 92% (3H)4D 92%
115693 3F2[1] 85%, 3F3[0] 5% (3F)2S 41%
116909 3F3[0] 70%, 3F4[1] 15%, 3F3[1] 8% (3F)4P 60%
117392 3F3[1] 78%, 3F3[0] 10%, 3F2[1] 7% (3F)4D 65%
118943 3F4[l] 70%, 3F3[0] 14%, 3F3[l] 7% (3F)2P 61%
120507 1G4[l] 85%, 3F4[l] 12% (1G)2P 80%
128370 1D2[1] 89%, 3P2[l] 6% (1D)2P 88%
134088 3P2[l] 93% (3P)4D 92%
112 111267 111269 2 3H4[2] 92% (3H)4F 80%
111755 3H4[1] 90% (3H)4D 54%
113803 113826 23 3H5[2] 93% (3H)2D 45%
115948 3F2[1] 77%, 3F4[1] 10%, 3F2[2] 4% (3F)4P 70%
116812 3F2[2] 82%, 3F2[1] 3%, 3F3[2] 3% (3F)2D 37%
117552 117540 −12 3F3[1] 26%, 3F4[1] 22%, 3F4[2] 21% (3F)2P 24%
118154 118201 47 3F3[2] 59%, 3F3[1] 25%, 1G4[l] 7% (3F)4F 34%
118260 3F4[2] 38%, 3F3[1] 22%, 3F3[2] 20% (3F)4D 39%
119010 1F4[1] 11 31%, 3F3[1] 20%, 3F2[l] 14% (3F)4S 62%
121489 1G4[1] 48%, 3F4[1] 27%, 1G4[2] 15% (1G)2P 43%
122588 1G4[2] 56%, 3F4[2] 25%, 1G4[l] 10% (1G)2D 51%
128163 128214 51 1D2[4] 84%, 3P2[l] 7% (1D)2P 83%
128942 1D2[2] 85%, 3P2[2] 6% (1D)2D 83%
132798 3P1[2] 89%, 3P2[2] 11% (3P)4F 62%
133895 3P2[2] 63%, 3P2[1] 23%, 3P1[2] 7% (3P)2D 64%
134173 3P2[1] 69%, 3P2[2] 19%, 1D2[l] 4% (3P)4D 74%
212 111489 111495 6 3H4[2] 64%, 3H4[3] 28% (3H)4F 59%
111928 3H4[3] 63%, 3H4[2] 28% (3H)4G 52%
113542 113557 15 3H5[3] 45%, 3H5[2] 44%, 3F2[2] 6% (3H)4D 23%
113902 113914 12 3H5[2] 46%, 3H5[3] 45% (3H)2F 38%
115831 115800 −31 3H6[3] 48%, 3F2[2] 43% (3H)2D 47%
116471 3H6[3] 38%, 3F2[2] 23%, 3F2[3] 18% (3F)4P 26%
116711 116727 16 3F2[3] 66%, 3F3[3] 9%, 3F2[2] 6% (3F)4G 50%
117609 3F3[2] 51%, 3F3[3] 26%, 1G4[3] 6% (3F)2F 30%
117651 117686 35 3F3[3] 33%, 3F4[2] 14%, 3F2[2] 13% (3F)4D 42%
118612 3F3[3] 32%, 3F4[3] 26%, 3F4[2] 13% (3F)4F 54%
118952 3F4[2] 51%, 3F4f3] 22%, 1G4[3] 10% (3F)2D 31%
120686 1G4[3] 57%, 3F4[3] 20%, 1G4[2] 17% (1G)2F 53%
121763 1G4[2] 66%, 3F4[3] 15%, 1G4[3] 7% (1G)2D 64%
128590 1D2[3] 85%, 3P2[3] 9% (1D)2F 83%
128833 1D2[2] 84%, 3P2[2] 7% (1D)2D 82%
132127 3P0[3] 86%, 3P1[3] 10% (3P)4G 64%
132709 3P1[3] 86%, 3P0[3] 8% (3P)2D 37%
133044 3P1[2] 64%, 1I6[3] 18%, 3P2[2] 13% (3P)4F 28%
133832 3P2[3] 45%, 1I6[3] 41%, 3P2[2] 4% (1I)2F 41%
134221 3P2[2] 54%, 3P1[2] 20%, 3P2[3] 12% (3P)4D 55%
136510 1I6[3] 37%, 3P2[3] 29%, 3P2[2] 24% (3P)2F 52%
163236 1S0[3] 99% (1s)2F 99%
312 110340 110334 −6 3H4[4] 91% (3H)4H 81%
111381 111343 −38 3H4[3] 87%, 3H4[4] 4% (3H)2G 40%
113308 113292 −16 3H5[4] 50%, 3H5[3] 46% (3H)4F 44%
113639 113631 −8 3H5[3] 46%, 3H5[4] 40%, 3F3[4] 3% (3H)4G 51%
115405 115421 16 3H6[3] 36%, 3H6[4] 28%, 3F2[3] 27% (3H)4D 35%
115672 115670 −2 3F2[4] 89%, 3F3[4] 4% (3F)4H 82%
116021 116022 1 3H6[3] 41%, 3H6[4] 39%, 3F4[3] 4% (3H)2F 42%
117029 117045 16 3F2[3] 57%, 3H6[4] 25%, 3F3[3] 5% (3F)4G 21%
117671 117647 −24 3F3[4] 64%, 3F3[3] 10%, 1G4[3] 8% (3F)2F 33%
118143 3F4[3] 26%, 1G4[3] 19%, 3F4[4] 17% (3F)4D 40%
118321 118319 −2 3F3[3] 60%, 3F3[4] 16%, 3F4[4] 7% (3F)2G 41%
118967 3F4[4] 47%, 3F4[3] 21%, 1G4[4] 18% (3F)4F 41%
121401 1G4[3] 41%, 3F4[3] 29%, 1G4[4] 23% (1G)2F 36%
121599 1G4[4] 50%, 3F4[4] 21%, 1G4[3] 17% (lG)2G 45%
128456 128453 −3 1D2[4] 87%, 3P2[4] 6%, (1D)2G 86%
129012 1D2[3] 88%, 3P2[3] 6% (lD)2F 86%
132256 3P0[3] 76%, 3P1[4] 8%, 3P1[3] 8% (3P)4G 41%
132760 3P1[4] 62%, 1I6 [4] 25%, 1I6[3] 6% (3P)2G 37%
132869 3P1[3] 72%, 3P0[3] 11%, 3P1[4] 8% (3P)4D 53%
133585 1I6[3] 42%, 3P2[4] 33%, 116[4] 17% (1I)2F 42%
134108 3P2[3] 7S%, 3P2[4] 11%, 1D2[3] 7% (3P)4F S4%
134896 116[4] 48%, 3P1[4] 19%, 1I6[3] 10% (1I)2G 48%
136377 3P2[4] 4S%, 1I6[3] 37%, 3P2[3] 11% (3P)2F 54%
163249 1S0[3] 99% (1S)2F 99%
412 110906 110922 16 3H4[4] 66%, 3H4[5] 21%, 3H5[5] 8% (3F)4H 70%
111915 111993 78 3H4[5] 72%, 3H4[4] 2S% (3F)2I 58%
113154 1131S9 5 3H5[5] 62%, 3H5[4] 26%, 3H4[4] 6% undefined
113783 113780 −3 3H5[4] 66%, 3H5[5] 28% (3H)2H 3S%
115334 115324 −10 3H6[4] 46%, 3H6[5] 26%, 3F2[4] 18% (3H)4F 3S%
115519 115S00 −19 3H6[5] 59%, 3H6[4] 36% (3H)2G 54%
115841 3F6[5] 87%, 3F2[4] 3% (3H)4H 71%
116456 1164S3 −3 3F,[4] 52%, 3F3[5] 20%, 3F3[4] 7% (3P)4H 54%
117516 3F3[5] 44%, 3F2[4] 17%, 3F4[S] 11% (3F)2H 36%
118076 118081 5 3F3[4] 40%, 3F4[5| 18%, 3F4[4] 16% (3F)2G 36%
118495 118469 −26 3F4[5] 36%, 3F3[5] 32%, 3F3[4] 14% (3F)4G 36%
118911 3F4[4] 43%, 3F3[4] 24%, 1G4[4] 22% (3F)4F 65%
121376 121383 7 1G4[5] 5I%, 3F4[5] 21%, 1G4[4] 14% (1G)2H 46%
122121 1G4[4] 50%, 3F4[4] 24%, 1G4[5] 14% (1G)2G 45%
128360 128353 −7 1D2[5] 78%, 1D2[4] 10%, 3P2[5] 7% (1D)2H 77%
128584 128569 −15 1D2[4] 79%, 1D2[5] 11%, 3P2[4] 6% (1D)2G 78%
132719 3P1[4] 89%, 1I6[4] 9% (3P)4G 48%
133285 1I6[5] 80%. 3p2[5] 11% (1I)2H 80%
133459 'I6[4] 43%, 3P2[5] 29%, 1I6[5] 17% (1I)2G 43%
134030 3P2[4] 90% (3P)4F 65%
135078 3P2[5] 52%, 'I6[4] 37%, 3P1[4] 5% (3P)2G 54%
512 110308 110295 −13 3H4[6] 83%, 3H4[5] F3% (3H)4K 74%
110876 110881 5 3H4[5] 78%, 3H4[6] 12% (3H)2I 41%
112636 112643 7 3H5[5] 66%, 3H5[6] 29% (3H)4H 61%
113664 113664 0 3H5[6] 61%, 3H5[5] 28%, 3H4[5] 4% (3H)4I 67%
115402 115403 1 3H6[6] 64%, 3H6[5] 21%, 3F4[5] 5% (3H)2H 34%
115934 115933 −1 3H6[5] 50%, 3H6[6] 19%, 3F3[5] 6% (3H)4G 41%
116276 116309 33 3F2[5] 63%, 3H6[5] 11%, 3H6[6] 10% (3F)4I 31%
117320 117323 3 3F3[6] 35%, 3F:,[5] 26%, 3F4[6] 22% (3F)4H 28%
117577 117574 −3 3F3[5] 51%, 3F3[6] 32%, 1G4[6] 6% (3F)2I 48%
118304 118272 −32 3F4[5] 22%, 3F4 [6] 17%, 1G4[5] 14% (3F)4G 32%
118926 118879 −47 3F4[5] 35%, 1G4[6] 19%, 3F4[6] 18% (3F)2H 37%
121078 121095 17 1G4[5] 45%, 3F4[5] 23%, 1G4[6] 19% (1G)2H 40%
121546 121532 −14 1G4[6] 35%, 3F4[6] 31%, 1G4[5] 26% (1G)2I 31%
128364 128382 18 1D2[5] 89%, 3P2[5] 8% (1D)2H 88%
133162 1I6[6] 83%, 1I6[5] 16% (1I)2I 83%
133322 1I6[5] 76%, 1I6[6] 16% (1I)2H 76%
133955 3P2[5] 84%, 1D2[5] 8% (3P)4G 83%
612 110535 110531 −4 3H4[7] 97% (3H)4L 89%
111115 111110 −5 3H4[6] 87%, 3H5[7] 8% (3H)4K 59%
112756 112770 14 3H5[7] 51%, 3H5[6] 38% (3H)2I 39%
113570 113600 30 3H5[6] 49%, 3H5[7] 37%, 3H6[6] 9% (3H)2K 43%
114792 114797 5 3H6[6] 69%, 3H6[7] B4% (3H)4H 48%
115369 115408 39 3H6[7] 64%, 3H6[6] 19%, 3F3[6] 8% (3H)4I 60%
117263 117248 −15 3F3[6] 56%, 3F4[6] 29%, 1G4[6] 11% (3F)4H 54%
117762 117775 13 3F4[7] 28%, 3F4[6] 28%, 3f3[6] 21% (3F)4I 61%
118629 118611 −18 3F4 [7] 36%, 1G4[7] 25%, 3F4[6] 19% (3F)2I 55%
120502 120499 −3 1G5[6] 61%, 3F4[6] 21%, 1G4[7] 15% (1G)2I 56%
121437 121431 −6 'G4[7] 50%, 3F4[7] 30%, 1G4[6] 14% (1G)2K 44%
132708 1I6[7] 100% (1I)2K 1 00%
133181 1I6[6] 99% (1I)2I 99%
712 111339 111335 −4 3H4[7] 82%, 3H5(8) 16% (3H)4L 67%
112895 112896 1 3H5[7| 88%, 3H6[8] 6% (3H)4K 72%
113832 113834 2 3H5[8] 79%, 3H4[7] 15% (3H)2L 76%
115666 115672 6 3H6[8] 71%, 3H6[7] 14%, 3H5[7] 5% (3H)2K 57%
116196 116239 43 3H6[7] 78%, 3H6[8| 17% (3H)4I 72%
118051 118063 12 3F4[7] 70%, 1G4[7] 19%, 3H6[8] 2% (3F)4I 65%
121087 121119 32 1G4[7] 73%, 3F4[7] 23% (1G)2K 67%
132780 1I6[7] 98% (1I)2K 98%
133421 133352 −69 'I6[8] 98% (1I)2L 98%
812 113026 113024 2 3H5[8] 94% (3H)4L 94%
114733 114726 7 3H6[8] 95% (3H)4K 95%
116497 116490 −7 3H6 [9] 89%, 3H5[8] 6% (3H)2L 89%
133120 133194 74 1I6[9] 98% (1I)2M 98%
133438 133373 −65 1I6[8] 97% (1I)2L 97%
912 114978 114971 −7 3H6[9] 100% (3H)4L 100%
133191 133242 51 1I6[9] 100% (1I)2M 100%

A second region of high line-density appears from the beginning of table X to about 1800 Å. This is the short wavelength end of the 4f25d—(4f26p + 5d24f) transition array, which extends to about 2700 Å. Many of these lines were classified with the previously known levels. The tail of this array reaches to much shorter wavelengths due to the high-lying levels of 5d24f.

An extension of the high-level structure of even parity was made by using the longer wavelength line-list of reference 1. By combining these lines with the 4f26p levels, more levels in the region of the previously identified 4f26d group were found. Calculations of the structure of the configurations 4f26d and 4f27s provided the means to distinguish the latter configuration from among these levels.

Several low levels of the 4f28s configuration were found by adding the vacuum ultraviolet lines to the 4f26p levels. They were identified by their predicted location (compared with Ce iii, 4f8s), by their strong combinations with particular core terms of 4f26p, and by reasonable fitted values of the parameters G3(fs), ζ(4f) and E3(f2).

A detailed investigation of the hfs of the 4f26s configuration has been carried out by J. Reader and J. Sugar [10]. A by-product of this work was the discovery of the pair of levels based on the 4f2(3P2) parent and the replacement of the level 〈4f2(1D2), 6s, 5/2〉.

The newly derived energy levels of Pr iii are given in table II. Their designations result from calculations of the configurations in the purest coupling schemes, with radial parameters obtained by least squares fitting of linear energy formulas to the observed energy levels [11]. The results of these calculations are given in the sections which follow.

Designations of levels of the 4f25f, 5d24f, and 4f5d6s configurations in the LS-coupling scheme were made on the basis of relative strengths of the combinations with the 4f25d terms. Later calculations of energy levels in this coupling scheme substantiated these assignments where the purity of the eigenvectors indicated a major LS component for a level. The successful correlation of observed and calculated energy levels was largely due to these experimental LS assignments.

The 4f26d, 4f27s, and 4f28s levels were designated in J1j-coupling according to the intensities of combinations with levels of 4f26p. In these transition arrays the selection rules ΔL1 = 0, ΔS1 = 0 and ΔJ1 = 0 on parent levels are strongly obeyed. The J1j-coupling designations given in table II for these configurations and for 4f26s and 4f26p contain the 4f2 core level and the j-value of the outer electron.

4. Theoretical Interpretation of the Observed Configurations

For the calculation and diagonalization of energy matrices, computer programs written by Y. Bordarier and A. Carlier at Laboratoire Aimé Cotton, Orsay, France, were used. These programs evaluate the energy formulas given in terms of nj-coefficients, and compiled the output in the form of J-matrices which may then be diagonalized. The large library of matrices assembled at Hebrew University by G. Racah and his co-workers was made available to us by Z. Goldschmit, and is compatible with the above-mentioned programs.

The matrix library tape contains the configurations f2p and f(d + s)2. For the present work they were combined with configuration interaction (utilizing the formulas for three-electron matrix elements calculated by Fano, Pratts, and Goldschmidt [12]) to study the configuration complex 4f26p + 5d24f + 4f5d6s. The matrices of f2(d + s) are also on the library tape, and were used in the study of 4f26d; 4f27s, and 4f28s. The matrices of f2 f′ were calculated manually by means of the Racah formalism [13] prior to the acquisition of these programs.

In the present paper, unreduced values for the Slater parameters are used. The convention of multiplying the coefficient martices by arbitrary factors to simplify denominators is unnecessary for computer calculations.

The notations for the parameters in tables III, V, VII, and IX have the following meaning: “A” is an additive constant common to all levels of the configuration; Fk(l, l′) and Gk(l, l′) are the Slater radial integrals arising from the electrostatic interaction between the electrons l and l′; ζl is the parameter of the spin-orbit interaction for the electron l; E1, E2, and E3 are linear combinations of the Slater radial integrals defined by Racah [14] which arise from the electrostatic interaction within an fn shell; B and C are linear combinations of Slater integrals defined by Racah [13] for the dn shell; α and γ are two-body effective interaction parameters acting within the fn shell which have the coefficients L(L + 1) and 12g(U), respectively, where L refers to the orbital angular momentum in the fn shell and g(U) are the eigenvalues of the Casimir operator G(G2) tabulated by Racah [14]; Es is the two-body effective interaction parameter for nonequivalent electrons proposed by Sack [20] and is used here for the 5d24f configuration; Rk are the radial integrals arising from configuration interaction.

Table III.

Fitted parameter values and associated standard errors for the 4f26p + 5d24f + 4f5d6s configurations of Pr iii and corresponding parameters of Ce iii and Pr iv in units of cm−1

Parameters PrIII CeIII PrIV
4f26p 4f6p 4f2
A 67903 ± 90 52001± 62
E1(J2) 4984 ± 25 5011 ± 17
E2 23.1± 0.2 23.1 ± 0.1
E3 486 ± 2 488 ± 1
α 28±2 24 ± 1
γ − 50 ± 9 − 49 ± 6
P(fp) 6075 ± 225 5400 ± 450
G2 1785 ± 140 2450 ± 875
G4 1531 ±302 945 ± 284
ζp 2338 ± 24 2155± 33
ζf 751 ± 10 644 ± 10 760 ± 6
5d24f 5d2
A 73137 ± 48 46027± 67
B(d2) 406 ± 5 442± 3
c 2021 ± 21 2006 ± 111
F2(fd) 21000 ± 284
F4 15385 ± 431
G1 10080 ± 96
G3 13954 ± 665
G5 10825 ± 611
ζd 946 ± 23 837± 14
ζf 838 ± 19
Es 483 ± 55
4f5d6s 5d6s
A 92316 ± 156 66388± 96
F2(fd) 20790 ± 1050
F4 15177 Fixed F2/F4
G1 9905 ± 476
G3 13167 Fixed G1/G3
G5 10825 Fixed G1/G5
G2(ds) 10125 ± 410 11125± 705
G3(fS) 2100 Fixed
ζd 1035 ± 66 927± 28
ζf 838 Fixed
Configuration interaction
R1 (fp,d2) −1583 ± 122 3115 ± 105
R3(fp,d2) 1655 ± 308 0 Fixed
R1(fp,ds) 6590 ± 341 5355 ± 730
R3(fp,sd) 0 Fixed 0 Fixed
R2(dd,ds) 16940 ± 6210 15820 ±1295
R2(fd,fs) 0 Fixed
R3(fd,sf) 0 Fixed
rms error in calculated levels 89 cm−1 47 cm−1

Table V.

Fitted parameter values and associated standard errors for the 4f25f configuration of Pr iii and corresponding parameters of Ce iii in units of cm1

Parameters Pr III Ce III
4f25f 4f5f
A 118394 ± 16 101544± 12
E1(f2) 4983 9
E2 22.99 ± 0.05
E3 479 ± 1
α 22.7 ± 0 4
γ −56 Fixed
F2(ff’) 3150 ± 53 3150 ± 90
F4 1870 ± 160 1420 ± 220
F6 490 ± 190 736 ± ?
Go 931 ± 9 1175 ± 14
G2 1511 ± 71 1530 ± 110
G4 1220 ± 170 870 ± 330
G6 847 ± 140 736 ± ?
ζf(f2) 760 ± 2 639 ± 7
ζ'f 22 ± 3 26 ± 8
rms error in calculated levels 28 cm−1 39 cm−1

Table VII.

Fitted parameter values and associated standard errors for the 4f26d configuration of Pr iii and corresponding parameters of Ce iii in units of cm−1.

Parameters Pr III Ce III
4f26d 4f6d
A 108321 ± 20 91509± 36
E1(f2) 4927 Fixed E1/E3
E2 22.8 Fixed E 2/E3
E3 479 ± 2
α 23 Fixed
γ − 56 Fixed
F2(fd) 4070 ± 100 3260 ± 320
F4 2500 ±190 1730±690
G1 1396 ± 60 1330± 180
G3 1500 ± 220 540 ± 690
G5 2590 ±160 1980 ± 610
ζf 766 ± 3 642 ± 20
ζd 197 ± 7 239 ± 36
rms error in calculated levels 31 cm−1 139 cm−1

Table IX.

Fitted parameter values and associated standard errors for the 4f27s and 4f28s configurations of Pr iii in units of cm−1.

Parameters Pr III Pr III
4f27s 4f28s
A 107226 ±32 135946 ±8
E1(f2) 4950 FixedE1/E3 4936 Fixed E1/E3
E2 22.9 Fixed E2/E3 22.8 Fixed E2/E3
E3 482 ±2 480.3 ±0.7
α 23 Fixed 23 Fixed
γ −56 Fixed −56 Fixed
G3(fs) 590 ±110 350 ±28
ζf 768 ±6 761 ±1
rms error in calculated levels 9 cm−1 7 cm−1

4.1. The 4f26p + 5d24f + 4f5d6s Complex

These three configurations are analogous to the Ce iii group 4f6p, 5d2, and 5d6s treated theoretically by Z. Goldschmidt [15]. She found strong mutual perturbations in Ce iii, reporting large mixutres of terms of two configurations in several levels. This accounts for the poor results of Spector’s calculation of 4f6p alone [16]. The rms error in his calculated levels is 394 cm−1, while that obtained in reference 15 for the mixture of the three configurations is 47 cm−1.

Following the results in Ce iii, I have treated the mixed complex of configurations 4f26p, 5d24f, and 4f5d6s in Pr iii. Initial parameters for the first diagonalization of the energy matrices were obtained from the following sources for the 5d24f and 4f5d6s configurations:

Interaction Source Reference
d-d Ce III 5d2 15
d-s Ce III 5d6s 15
f-s Pr III 4f26s 19
d-f Pr III 4f26d 17
ζ d(5d2) Ce III 5d2 15
ζ d,(5d) Ce III 5d6s 15
ζ f Pr IV 4f65 18

The matrices for these configurations were diagonalized without configuration interaction to determine the correspondence with the observed levels. This was accomplished by means of the experimentally identified LS composition of many of the levels. The parameters were then improved by least squares adjustment to fit the observed levels and further improved by several repetitions of these steps. Because of the small number of known levels of 4f5d6s, fixed ratios were assumed for F2/F4, G1/G3, and G1/G5 of the f—d interaction as well as fixed values of G3(f,s) and ζf. The refined parameter values then served as initial parameters for the first diagonalization with configuration interaction.

Spector has treated the 4f26p configuration of Pr iii theoretically [19] and obtained an rms error of 198 cm−1 for his calculated levels. His results served here for initial parameters of this configuration.

Initial values for the configuration interaction parameters R1(f p,d2) between 4f26p and 5d24f, R1(f p,ds) between 4f26p and 4f5d6s, and R2(d2, ds) between 5d24f and 4f5d6s were taken from the Ce iii results [15]. All other configuration interaction parameters were initially set equal to zero.

Several sequences of diagonalization and adjustment of the parameters were carried out to obtain convergence before attempting to evaluate the less sensitive interaction parameters. Then the parameters R2(fd, fs) and R3(fd, sf) which act between the 5d24f and 4f5d6s configurations, and G3(fs) of the latter configuration were added. These were found to be undefinable in the least squares calculations (their standard errors exceeded their values) because too few levels of 4f5d6s are known. They were therefore fixed at the following values:

R2(fd,fs)=R3(fd,sf)=0G3(fs)=2100cm1.

Finally, values for R3(fp, d2) and R3 (fp,sd) were sought. The latter was undefinable and was therefore fixed at zero. The iterative fitting procedure was again brought to convergence, with an rms error of 119 cm−1 for the calculated levels.

Goldschmidt’s success in utilizing the Sack [20] effective two-body interaction operators El L (L + 1) and Es S (S + 1) acting on the final L and S of the levels of 4f5d in Ce iii [15] suggested their use for the 4f26p and 5d24f configurations of Pr iii. For these configurations, following Sack, the operators are El[L(L + 1) − Lc(Lc + 1)] and Es[S(S + 1) − Sc(Sc + 1)], where Lc and Sc refer to the 4f2 or 5d2 core terms. A well defined value was obtained only for Es of 5d24f. The addition of this parameter reduced the rms error to its final value of 89 cm−1.

In table III the final values for the parameters derived from the mixing of the three configurations are given. In all least squares calculations the ratios F2/F4, G1/G3, and G1/G5 of the 4f5d6s configuration were fixed at the values taken by the corresponding parameters of 5d24f in the preceding calculation. Also the parameter ζf of 4f5d6s was required to be equal to ζf in 5d24f. The remaining free parameters common to these two configurations, namely F2, G1, and ζd, took nearly equal values in both configurations. It is interesting to note that they are nearly equal to the corresponding parameters of the 4f5d configuration [18] of Pr iv.

Included in table III are the corresponding parameters of Ce iii evaluated by Goldschmidt [15] and the parameters of the 4f2 configuration of Pr iv [21] included for comparison with 4f26p core interactions.

Table IV contains all the calculated levels of the three configurations, all the experimental levels assigned to these configurations, and the squares of the components of the eigenvectors of the calculated levels (their percentage composition). A maximum of three components is given for each level, but less are shown when the sum represents 90 percent or more of the composition. Where a level contains 20 percent or more of the eigenvectors of two configurations, both are indicated in the column labeled “configuration” by means of an “X”.

Table IV. Calculated energy levels and compositions of the mixed 4f26p, 5d24f, and 4f5d6s configurations of Pr iii.

The 4f26p levels are designated in J1j-coupling. The levels of 5d24f and 4f5d6s are designated in LS-coupling, with those of 4f5d6s distinguished by the symbol *. Levels attributed to two configurations contain 20 percent or more of each

J Levels calculated (cm-1) Levels observed (cm-1) Obs.
minus calc.
Configuration composition
4f26p 5d24f 4f5d6s
012 63030 X (3F)2S 31%, (3F)4D 23%, (3F)2P 19%
64988 X (3F)2S 41%, (3F)4D 30%, (3F2)3/2 11%
66481 66325 −156 X (3F2)3/2 81%, (3F)2S 4%, (3F)4D 3%
68973 X (1D)2P 31%, (3F)2P 24%, (3F)4D 23%
70262 X (3F)4P 74%, (3F)2S 19%,
72188 X (3P)4D 62%, (3F)2P 13%, (3F)4D 12%
74970 X (3F)2P 37%, (1D)2P 30%, (3P)4D 18%
78311 78313 2 X (1D2)3/2 68%, (3P2)3/2 11%, (3P0)1/2 9%
79409 X (3P0)1/2 72%, (1D2)3/2 16%
79703 79742 39 X (3P1)1/2 79%, (3P0)1/2 12%
83375 X (3P1)3/2 51%, (3P2)3/2 35%, *(3P)4P 6%
84984 X (3P2)3/2 47%, (3P1)3/2 37%, (1G)2P 6%
87650 X (1G)2P 91%
89556 X *(3D)4D 91%
92742 X *(3P)4P 90%
97264 X *(3P)4P 90%
101423 X *(1P)2P 89%, (1So)1/2 5%
111001 X (1S0)1/2 94%
112 63142 63221 79 X (3F2)l/2 91%
65166 X (3F)4D 57%, (3P)4D 13%, (3F)2P 10%
65639 X (3F)4F 76%, (3F2)3/2 10%, (3P)4F 5%
66828 66867 39 X (3F2)3/2 76%, (3F)4F 7%, (3F)4D 5%
67916 67965 49 X (3F3)3/2 91%
68942 X (3F)2P 41%, (1D)2P 13%, (3F)4D 10%
69488 X (3F)4P 82%, (3F)4S 5%, (3F)2P 5%
70631 X (1D)2D 44%, (3F)4s 16%, (1D)2P 14%
71456 71501 45 X (3P)2D 32%, (3F)4s 25%, (3P)4D 14%
71988 X (3F)4S 35%, (3P)2D 17%, (1D)2D 10%
73947 X (3P)4F 31%, (3P)4D 27%, (3F)2D 14%
74066 X (3P)4D 20%, (3P)2D 18%, (1D)2P 15%
74509 74464 −45 X (3P)4F 45%, (3P)2D 26%, (3F)4F 7%
75415 75410 −5 X (1D2)1/2 79%, (3P2)1/2 8%, (3F)2D 5%
76826 76892 66 X (3F)2D 30%, (1D)2P 27%, (3F)2P 15%
78963 78889 −74 X (1D2)3/2 76%, (3P2)3/2 8%, (3P1)1/2 4%
80190 80164 −26 X (3P1)1/2 88%, (1D2)3/2 5%
80878 80898 20 X (3P2)1/2 75%, (1D2)1/2 7%, (3Po)3/2 5%
82573 82492 −81 X X (3P0)3/2 44%, (1G)2D 35%, (1G)2P 6%
82926 83026 100 X (3P1)3/2 43%, (3P0)3/2 23%, (1G)2D 12%
84003 X X (3P1)3/2 31%, *(3F)4F 25%, (1G)2D 150
84494 84410 −84 X *(3F)4F 62%, (3P1)3/2 11%, (1G)2D 8%
85279 X (3P2)3/2 65%, (1G)2P 16%, (1D2)3/2 5%
87031 X (1G)2P 62%, (3P2)3/2 15%, (1G)2D 13%
89214 X *(1D)2D 40%, *(3D)4D 37%, *(3F)4F 7%
90681 X *(3D)4D 52%, *(1D2D) 32%, *(3P)4P 4%
92797 X *(3P)4P 76%, *(1P)2P 5%, *(3D)4D 4%
95092 X *(3D)2D 76%, *(1D)2D 7%, (1D)2D 6%
96994 X *(3P)2P 67%, *(1P)2P 16%, *(3P)4P 5%
103051 X *(1P)2P 70%, *(3P)2P 19%, (1S0)3/2 3%
114351 X (1S0)3/2 96%
212 61698 61718 20 X (3H4)3/2 72%, (3F2)1/2 18%
63544 63576 32 X (3F2)1/2 75%, (3H4)3/2 20%
64396 64401 5 X (3F3)1/2 75%, (3F)4D 7%, (3F)2F 6%
64817 64818 1 X (3F)2F 31%, (3F)4G 27%, (3F3)1/2 16%
66014 65909 −105 X (3F)4G 47%, (3F)4D 18%, (1D)2F 9%
66571 66681 110 X X (3F)4F 52%, (3F2)3/2 30%, (3F3)3/2 5%
66994 66943 −51 X (3F)4D 24%, (3F2)3/2 14%, (3F)2F 11%
67361 67395 34 X X (3F2)3/2 44%, (3F)4F 22%, (3F)4D 14%
68288 X (3F3)3/2 38%, (3F4)3/2 30%, (1G4)3/2 16%
68991 68979 −12 X (3F3)3/2 41%, (3F4)3/2 35%, (1G4)3/2 10%
69359 X (3F2)4P 36%, (3P)2D 22%, (3F)2D 13%
69572 69682 110 X (3P)4G 83%, (3F)4P 6%, (3F)4G 5%
70369 X (3P)2D 46%, (3F)4P 35%, (3F)4D 7%
71504 71536 32 X (1G4)3/2 61%, (3F4)3/2 28%, (1D2)1/2 2%
72007 71995 −12 X (1D)2D 26%, (3P)4D 17%, (3F)4P 16%
74168 74105 −63 X (3P)4D 27%, (3P)4F 23%, (1D)2F 14%
74744 X (3P)4F 62%, (3P)4D 12%, (1D)2F 8%
75354 75561 207 X (3F)2D 35%, (1D2)1/2 18%, (1D)2D 14%
75782 75615 −167 X (1D2)1/2 60%, (1D)2D 10%, (3P2)1/2 6%
76491 X (3F)2D 27%, (1D)2F 19%, (3P)2D 12%
77944 77822 −122 X (1G)2F 70%, (3F)2F 5%, (1G)2D 4%
79360 79367 7 X (1D2)3/2 79%, (3P2)3/2 7%, *(1D)2D 5%
81472 81405 −67 X (3P2)1/2 83%, (1D2)1/2 8%
83359 83427 68 X (3P2)3/2 79%, (1G)2D 10%, *(3D)4D 3%
84317 X X (1G)2D 43%, (3P2)3/2 20%, (3P1)3/2 10%
84710 X (3P)2F 52%, (1S)2F 13%, (1G)2F 9%
84986 X *(3F)4F 56%, (3P)2F 8%, (3Px)3/2 7%
85323 85306 −17 X (3P2)3/2 52%, (1G)2D 19%, *(3F)4F 9%
85904 X *(3G)4G 87%, *(3F)4F 7%,
88297 X *(1D)2D 42%, *(3F)4F 18%, *(3F)4F 16%
90038 X *(3F)2F 44%, *(3D)4D 24%, *(1D)2D 9%
91295 X *(3D)4D 56%, *(1D)2D 11%, (1S)2F 10%
92422 92555 133 X (1S)2F 54%, *(1F)2F 13%, (3P)2F 11%
94069 X *(3P)4P 69%, *(3D)2D 10%, (3P2)3/2 3%
94917 X *(1F)2F 50%, *(3D)2D 10%, *(3P)4P 10%
97877 X *(3D)2D 62%, *(1F)2F 16%, *(1D)2D 9%
312 58164 58158 −6 X (3H4)1/2 82%, (3F)4H 6%, (3H4)3/2 49
60524 60520 −4 X (3F)4H 43%, (3F)2G 33%, (3H4)1/2 109
61560 61605 45 X (3H4)3/2 80%, (3F)2G 7%, (1G4)3/2 29
63260 63232 −28 X (3F)4H 42%, (3F)2G 20%, (3F)2F 79
63807 63769 −38 X (3H5)3/2 47%, (3F3)1/2 34%, (3F)4G 49
64992 64980 −12 X (3F4)1/2 46%, (1G4)1/2 17%, (3F)2G 89
65265 65296 31 X (3F3)1/2 45%, (3H5)3/2 39%, (3F4)1/2 69
65932 65935 3 X (3F)2F 22%, (3F)4D 12%, (3F)2G 99
66949 66853 −96 X (3F)4G 47%, (3F2)3/2 18%, (3F)4D 79
67280 67240 −40 X X (3F2)3/2 58%, (3F)4G 27%, (3F3)3/2 29
67624 67679 55 X X (1G4)1/2 32%, (3F)4F 32%, (3F4)1/2 99
68221 68332 111 X X (3F)4F 22%, (3F3)3/2 21%, (1G4)1/2 189
68511 68492 −19 X (3F3)3/2 37%, (3F)4F 17%, (3F4)1/2 10%
68789 68802 13 X (3F4)3/2 29%, (1G4)3/2 23%, (3F3)3/2 22%
69184 68987 −197 X (3F)4D 19%, (3P)4G 15%, (1D)2G 149
69492 69431 −61 X (3F)4D 18%, (3P)4G 17%, (1D)2G 179
71450 71386 −64 X (3P)4G 58%, (1D)2G 24%, (3P)2G 7%
72005 71979 −26 X (1G4)3/2 48%, (3F4)3/2 38%, (1G)2G 4%
73316 73378 62 X (1G)2G 65%, (3P)2G 9%, (1D)2G 9%
74550 X (3P)4D 62%, (3F)4D 18%, (1D)2F 10%
75309 75294 −15 X (3P)4F 74%, (3P)4D 7%, (3F)2F 59
76550 X (1D)2F 46%, (3P)4F 11%, (3F)2F 109
78374 78463 89 X X (1G)2F 58%, (1D2)3/2 20%, (3P)2F 5%
79226 79396 170 X (1D2)3/2 66%, (1G)2F 14%, (3P2)3/2 79
81357 X (3P)2G 46%, (1G)2G 21%, (1D)2G 91
84135 X *(3H)4H 73%, *(1G)2G 19%
84418 84431 13 X (3P2)3/2 85%, (1D2)3/2 9%
85860 X (3P)2F 57%, (1G)2F 11%, (3F)2F 109
86122 X *(1G)2G 32%, *(3G)4G 22%, *(3H)4H 22%
86381 X *(3F)4F 70%, *(3G)4G 15%, (3P)2F 4%
87602 87512 −90 X *(3G)4G 52%, *(1G)2G 26%, *(3F)4F 11%
90636 X *(3D)4D 32%, *(1F)2F 29%, *(3F)2F 249
92022 X *(3F)2F 35%, *(3D)4D 32%, *(3G)2G 159
92476 92442 −34 X *(3G)2G 53%, *(3D)4D 21%, *(1G)2G 109
94002 93967 −35 X (1S)2F 74%, *(3G)2G 4%, *(3D)4D 49
96948 96830 −U8 X *(1F)2F 51%, *(3F)2F 23%, (1D)2F 89
412 58244 58174 −70 X (3H4)1/2 95%
60160 60166 6 X (3H5)1/2 79%, (3H4)3/2 7%, (3F)4H 79
61332 61357 25 X (3H4)3/2 53%, (3F)4I 19%, (3H5)1/2 129
61971 62063 92 X X (3F)4I 44%, (3H4)3/2 32%, (3F)2G 99
62508 62536 28 X (3F)2G 33%, (3F)4H 27%, (3F)4I 279
63560 63593 33 X X (3Hs)3/2 67%, (3F)4H 11%, (3F)2G 11%
64271 64236 −35 X X (3F)4H 46%, (3Hs)3/2 24%, (3F)2G 199
64929 64857 −72 X (3F4)1/2 57%, (1G4)1/2 24%, (3H6)3/2 • 129
66953 67049 96 X (3H6)3/2 60%, (1G4)1/2 12%, (1D)2H 91
67412 67399 −13 X (1D)2H 29%, (3F)2H 20%, (3H6)3/2 139
67815 67871 56 X X (3F3)3/2 48%, (3F)4G 26%, (1G4)1/2 69
68349 68375 26 X (1G4)1/2 41%, (3F4)1/2 22%, (3F4)3/2 159
68683 68544 −139 X X (3F)4G 50%, (3F3)3/2 35%, (3F4)3/2 39
69181 69138 −43 X (3F4)3/2 36%, (1G4)3/2 32%, (3F3)3/2 6%
69529 69686 157 X (3F)4F 65%, (3F4)1/2 8%, (3P)4F 59
70999 71021 22 X (3P)4G 43%, (3P)2G 17%, (1D)2G 129
71641 71592 −49 X (1G4)3/2 51%, (3F4)3/2 37%, (3P)4G 49
73119 73030 −89 X (3P)4G 36%, (1G)2H 25%, (1G)2G 159
73690 73606 −84 X (1D)2G 42%, (1G)2H 12%, (1D)2H 129
74675 X (3F)2H 51%, (1G)2H 23%, (1D)2H 15%
75636 75762 126 X (1G)2G 38%, (1G)2H 21%, (3F)2H 91
77169 X (3P)4F 85%, (3F)4F 6%
81428 X (3P)2G 46%, (1G)2G 28%, (1D)2G 11%
84446 84411 −35 X (1I6)3/2 78%, *(1H)2H 8%, *(3H)4H 59
85028 X *(1G)2G 35%, *(3H)4H 34%, (1I6)3/2 129
86442 X *(3H)4H 54%, *(1G)2G 24%, *(3F)4F 169
88134 88220 86 X *(3G)4G 57%, *(3F)4F 35%
89017 88949 −68 X *(3F)4F 39%, *(3G)4G 35%, *(1G)2G 169
90557 90629 72 X *(3H)2H 79%, (1D)2H 5%, *(1G)2G 49
95075 95148 73 X *(3G)2G 77%, (1D)2G 8%, *(1G)2G 89
99782 X *(1H)2H 85% (1I6)3/2 6%
512 60465 60420 −45 X (3H5)1/2 94%
62243 62241 −2 X (3H4)3/2 40%, (3H6)l/2 35%, (3H5)3/2 15%
62569 62559 −10 X (3H6)1/2 55%, (3H4)3/2 37%
63811 63817 6 X X (3F)4I 50%, (3H5)3/2 24%, (3H4)3/2 15%
64074 64151 77 X X (3F)4I 42%, (3H5)3/2 39%, (3F)4H 6%
64951 64865 −86 X (3F)4H 73%, (3H5)3/2 15%
65912 65922 10 X (3H6)3/2 88%, (3F)4H 4%
68184 68238 54 X (3F)2I 51%, (1G)2I 36%, (3F)4H 6%
68514 68526 12 X (3F4)3/2 53%, (1G4)3/2 20%, (3F)4G 14%
69455 69409 −46 X (3F)2H 37%, (1D)2H 25%, (3F)4G 11%
69924 69978 54 X (3F)4G 62%, (1D)2H 11%, (3F)4G 8%
71714 71736 22 X (1G4)3/2 65%, (3F4)3/2 29%
73535 73609 74 X (3P)4G 76%, (3F)2H 9%, (1G)2H 8%
75641 75640 −1 X (3F)2H 32%, (1D)2H 18%, (1G)2I 16%
76097 X (1G)2H 56%, (1D)2H 27%, (3P)4G 9%
78869 78695 −174 X (1G)2I 35%, (3F)2I 25%, (3F)2H 12%
80312 80361 49 X (1I6)1/2 80%, (3F)2I 6%, (1G)2I 6%
83729 83607 −122 X (1I6)3/2 87%, (1I6)1/2 7%
87519 X *(3H)4H 95%
90049 90120 71 X *(3G)4G 96%
93283 93296 13 X *(3H)2H 80%, *(1H)2H 9%, *(3H)4H 5%
99971 X *(1H)2H 82%, *(3H)2H 10%
612 62725 62679 −46 X (3H6)1/2 89%, (3H6)3/2 6%
64218 64215 −3 X (3H5)3/2 86%, (3H6)3/2 8%
65944 65967 23 X (3F)4I 86%, (3F)4H 5%
66091 66148 57 X X (3H6)3/2 51%, (3F)4H 25%, (3H5)3/2 12%
66872 66736 −136 X X (3F)4H 53%, (3H6)3/2 32%, (3F)4I 6%
70452 70381 −71 X (3F)2I 53%, (lG)2I 29%, (3F)4H 12%
77201 X (1G)2K 96%
79246 79136 −110 X (1G)2I 51%, (3F)2I 26%, (1I6)1/2 17%
80743 80989 246 X X (1I6) 1/2 70%, (1G)2I 12%, (3F)2I 9%
83713 83703 −10 X (1I6) 1/2 87%, (1I6)1/2 11%
89758 X *(3H)4H 100%
712 66298 66301 3 X (3H6)3/2 96%
68285 68305 20 X (3F)4I 95%
79787 X (1G)2K 98%
84999 84992 −7 X (1I6)3/2 98%

The highest purity of eigenvectors for 4f26p is of course obtained in J1j-coupling because of the large value of ζp and the small electrostatic interaction between the f and p electrons. The designation of the energy levels in this scheme gives the 4f2 core level in parentheses followed by the j of the 6p electron (1/2 or 3/2).

The coupling is much less pure in 5d24f. Here the electrostatic interactions within the 5d2 shell and between 5d and 4f are both strong. Therefore, no preferred order of coupling of electrons occurs. The basis states are calculated in an LS scheme in which the d electrons are first coupled and the f electron is then added. In table IV the 5d2 core term is given in parentheses followed by the final LS term. The large values of ζ(5d) and ζ(4f) give rise to intermediate coupling. I transformed the eigenvectors to the (d2)J1(f)j scheme and found higher purity for a few levels, but the average purity for the configuration is lower than in the LS scheme.

The 5d24f configuration is illustrated in figure 1. The observed levels are represented by solid lines and the calculated positions of unknown levels are given as dashed lines. The term designations represent the major components, although in many cases these are less than 50 percent. The identity of a unique major component in some cases is impossible. In spite of the intermediate coupling, the low-lying quartets exhibit a regularity in their structure characteristic of LS-coupling. This is also true of the equally complex 4f25d configuration of the same ion [1]. Judd has shown that this structure arises from the near equality of ζ(4f) and ζ(5d), which results in nearly null non-diagonal matrix elements between terms of maximum multiplicity [22]. The structure of the (3F)4H0 term is distorted by the strong mixture with (3F)2G0.

Figure 1.

Figure 1.

Energy levels of the 5d24f configuration of Pr iii.

Levels not observed are represented by dashed lines at their calculated positions.

The coupling in 4f5d6s is LS, but not very pure because of the large spin-orbit interactions. The basis states were constructed by first coupling the f and d electrons to form parent terms and then adding the s electron. If more levels had been found, it would probably have been possible to define parameters El and Es for this configuration since they have been essential to other configurations of Pr iii and Ce iii containing both 4f and 5d electrons.

4.2. The 4f25f Configuration

This is a well-isolated configuration which is quite amenable to individual treatment. The corresponding configuration 4f5f of Ce iii reported in reference 3 was treated theoretically by Spector [16], who obtained an rms error in the level predictions of 39 cm−1.

As was found in the Ce iii work, the highest purity of eigenvectors results from the use of the J1l-coupling scheme. However, due to the large value of the exchange parameter G0(ff′), substantial LS-components are obtained when the calculation is carried out in the LS-scheme. Analogous to Ce iii, this condition permitted the experimental assignment of many LS terms on the basis of line intensities due to transitions to the LS-coupled 4f25d configuration. These LS designations were essential in establishing the correspondence between the observed and calculated levels.

Initial parameter values were obtained from the 4f2 configuration of Pr iv for the 4f2 core interactions and from Spector’s results in Ce iii for the f-f′ interaction as well as for ζ(5f).

Because no levels based on 4f2(3P) or (1S) are known only 4 electrostatic core parameters could be fit to the 5 observed core terms. Therefore the “effective” interaction parameter γ was fixed at −56 cm−1, the value obtained by S. Feneuille and N. Pelletier-Allard [23] in a recent calculation of 4f2(6s + 5d) of Pr iii. The free parameters did not change significantly from their initial values.

All observed levels of odd parity in this region were fitted to the 4f25f configuration. The final rms error in the calculated level positions was 28 cm−1. The resulting parameters are given in table V along with the corresponding ones of 4f5f of Ce iii.

The calculated and observed energy levels and eigenvectors of 4f25f in J1l-coupling are given in table VI. The designations show the 4f2 core level followed by the quantum number K = (J1 + l) in square brackets. Because of the importance of the LS-coupling designations in the theoretical analysis they are included in a column containing the largest component in this scheme.

The energy level structure of 4f25f is shown in figure 2 in J1l-coupling. Pairs of levels of equal J1 and K are connected and the 4f2 core is indicated. The experimentally derived levels are drawn with solid lines, and those not found are drawn with dashed lines at their calculated positions. By comparing this structure with that of 4f5f of Ce iii shown in figure 4 of reference 3, we note a decrease in the pair splittings in Pr iii, indicating a trend with increasing Z to purer J1l coupling. The electrostatic parameter G0(ff′) has decreased by 20 percent from its value in Ce iii while F2(ff′) remains unchanged.

Figurre 2.

Figurre 2.

Energy levels of the 4f25f configuration of Pr iii.

Pairs of levels of identical 4f2 core and quantum number K in the J1l-coupling scheme are connected. Levels not observed are represented by dashed lines at their calculated positions.

4.3. The 4f26d and 4f27s Configurations

Levels of both of these configurations were given in ref. 2, but were all designated as 4f26d. They were derived from transitions to 4f26p. No distinction between configurations was evident from relative line intensities.

The present analysis of this transition array revealed 26 more levels belonging to the upper two configurations. A clue as to the designation of these levels is the fact that nearly all observed transitions from a given upper level has the same 4f2 core level of 4f26p in common. This arises from the condition that both the upper and lower configurations exhibit good J1j-coupling.

The two configurations 4f26d and 4f27s were expected to overlap because of the arrangement of the corresponding Ce iii configurations 4f6d and 4f7s. To unravel them, I calculated their energy levels using the parameters of Ce iii for the f-d and f-s interactions, and compared the result with the known levels. It was then possible to recognize the level groupings in the two configurations.

For both configurations, levels based only on the two core levels 3H and 3F are known. Therefore, only one core electrostatic parameter, namely E3, could be determined. The ratios E1/E3 and E1/E2 were fixed at the values 10.3 and 216, respectively. These ratios are nearly equal in the configurations [17, 23] 4f3, 4f2(5d + 6s), and 4f26p (table III of present work) of Pr iii, and 4f2 of Pr iv (see table III). The parameters α and γ of the 4f2 core were fixed at the values found in 4f26s of Pr iii [23].

The least squares adjustment of the 4f-6d and 4f-7s interaction parameters produced the well-defined values given in tables VII and IX. The corresponding parameters of 4f6d in Ce iii are also given. A diagonalization with these final parameters provided the calculated levels and eigenvectors in J1j-coupling shown in table VIII for the 4f2(3H, 3F)6d levels. A complete listing of the calculated results is not given because of the small number of known levels. The eigenvectors were also calculated in the J1l-coupling scheme. The overall purity of levels was found to be lower than in J1j, as is the case in Ce iii for 4f6d [16].

Table VIII.

Calculated energy levels and compositions of the 4f26d configuration of Pr iii. Designations are in J1j-coupling. Only levels built primarily on 4f2(3H) and 4f2(3F) core levels are given.

J Levels calculated
(em-1)
Levels observed
(em-1)
Obs.
minus calc.
Composition in J1j-coupling
012 105740 (3F2)3/2 92%
105973 (3F2)5/2 93%
107684 (3F3)5/2 99%
112 101658 (3H4)5/2 97%
106059 (3F2)3/2 92%
106154 (3F2)5/2 94%
107120 (3F3)3/2 96%
107844 (3F3)5/2 82%, (3F4)5/2 7%, (3F3)3/2 4%
108345 (3F4)5/2 56%, (1G4)5/2 31%, (3F3)5/2 10%
212 101071 101071 0 (3H4)3/2 50%, (3H4)5/2 45%
101715 101666 −49 (3H4)5/2 52%, (3H4)3/2 43%
104106 (3H5)5/2 94%
105741 (3F2)3/2 85%, (3F2)5/2 8%
106369 (3F2)5/2 87%, (3F2)3/2 6%
107280 (3F3)3/2 83%, (3F5)5/2 (%)512 6%, (3F4)5/2 4%
107600 (3F4)3/2 62%, (1G4)3/2 26%, (3F3)3/2 6%
107799 (3F3)5/2 75%, (3F3)3/2 8%, (1G4)5/2 7%
108809 (3F4)5/2 52%, (1G4)5/2 25%, (3F3)5/2 14%
312 100783 100789 6 (3H4)3/2 65%, (3H4)5/2 31%
101477 101446 −31 (3H4)5/2 64%, (3H4)3/2 28%
103361 103309 −52 (3H5)3/2 93%
103955 103896 −59 (3H5)5/2 95%
105514 (3F2)3/2 89%, (3F2)5/2 7%,
106433 (3F2)5/2 77%, (3F3)3/2 13%
106496 (3H6)5/2 86%, (3F3)3/2 5%
107328 107299 −29 (3F3)3/2 64%, (3F4)3/2 8%, (3F3)5/2 8%
107890 (3F4)3/2 34%, (3F4)5/2 26%, (1G4)3/2 19%
108173 (3F3)5/2 54%, (3F3)3/2 12%, (3F4)3/2 11%
108305 (1G4)5/2 30%, (3F4)5/2 27%, (3F3)5/2 25%
412 100415 100430 15 (3H4)3/2 96%,
100954 100947 −7 (3H4)5/2 94%
102853 102830 −23 (3H5)3/2 79%, (3H5)5/2 18%,
103327 103335 8 (3H5)5/2 74%, (3H5)3/2 18%
105519 105567 48 (3H6)3/2 96%
106245 (3F2)5/2 61%, (3H6)5/2 25%, (3F3)3/2 8%
106346 (3H6)5/2 69%, (3F2)5/2
107190 (3F3)3/2 54%, (3F4)3/2 19%, (1G4)3/2 12%
107819 (3F3)5/2 83%, (1G4)3/2 8%
107872 107854 −18 (3F4)3/2 32%, (3F3)3/2 20%, (1G4)3/2 13%
108600 (3F4)5/2 42%, (1G4)5/2 33%, (3F3)3/2 9%
512 100617 100625 8 (3H4)3/2 96%
101165 101165 0 (3H5)5/2 94%
102639 102617 −22 (3H5)3/2 95%
103336 103344 8 (3H5)5/2 96%
104924 104905 −19 (3H6)3/2 93%
105458 105450 −8 (3H6)5/2 82%
107403 (3F3)S/2 67%, (3F4)3/2 24%
107720 (3F4)3/2 29%, (3F4)5/2 20%, (3F3)5/2 19%
108527 108559 32 (3F4)5/2 42%, (1G4)5/2 21%, (1G4)3/2 15%
612 101667 101680 13 (3H4)5/2 84%, (3H5)3/2 10%
102988 102982 −6 (3H5)3/2 51%, (3H5)5/2 47%
103764 103805 41 (3H5)5/2 48%, (3H5)312 39%
105020 105019 −1 (3H6)3/2 86%, (3H6)5/2 13%
105644 105632 −12 (3H6)5/2 85%, (3H6)3/2 12%
107979 (3F4)5/2 70%, (1G4)5/2 27%
712 103488 103484 −4 (3H5)5/2 95%
105080 105050 −30 (3H6)5/2 57%, (3H6)3/2 42%
106356 (3H6)3/2 54%, (3H6)5/2 41%
812 105513 (3H6)5/2 100%

A diagram of the configurations 4f2(3H, 3F) 6d and 7s is given in figure 3. As in figures 1 and 2, observed levels are given as solid lines while those not yet located are represented by dashed lines at their calculated positions. Levels are connected which are based on the same J1 core level.

Figure 3.

Figure 3.

Energy levels of the 4f26d and 4f27s configurations of Pr iii designated in J1j-coupling. The 4f2 core levels are given in parentheses followed by subscript d or s for the 6d or 7s configurations.

Levels not observed are represented by dashed lines at their calculated positions.

4.4. The 4f28s Configuration

Only a few high-lying levels were found by adding the vacuum ultraviolet lines of Pr iii to the 4f26p group. These were characterized by the strict adherence of the observed lines to core level selection rules in J1j-coupling. They were therefore either 4f27d or 4f28s levels. Their pair structure suggested the latter configuration and I attempted to fit them accordingly.

Here again, only levels based on the 3H and 3F core levels were found. Therefore, the same fixed conditions on 4f2 core parameters were used as for 4f26d and 4f27s. The results of least squares fitting of the remaining parameters are given in table IX. The free core parameters E3 and ζ4f are practically identical to those found for 4f26d and 4f27s. Also, the parameter G3(fs) shows the same fractional increase from the Ce iii value as does the same parameter of 4f27s and 4f26s. These results strongly support the interpretation of these levels as 4f28s.

5. The lonization Energy

The present extension of the analysis of Pr iii provides a three member 4f2ns series (n=6, 7, 8) which is suitable for a determination of the ionization energy of this ion.

The levels based on the 3H core term are available in the three configurations, and the purity of these levels is above 90 percent (in contrast to the 3F levels). Therefore, for the series terms I used the center of gravity of the levels built on the 3H core. For the missing level in 4f2(3H)7s and 4f2(3H)8s the calculated position was substituted. The centers of gravity of 4f2(3H)6s, 7s, and 8s and the fitted effective principal quantum numbers are:

Configuration c.g. (cm−1) n*
4f2(3H)6s 31137 2.6045
4f2(3H)7s 102738 3.6535
4f2(3H)8s 131507 4.6732

The Ritz formula to which these values are fitted is:

T=9R/(n3.29596.8432×107T)2.

To reduce the limit of this series to the lowest limit corresponding to the ionization energy, the center of gravity of the 3H term of 4f2 observed in Pr iv [18] was subtracted. This gives the value of 174284 cm−1 for the lowest series limit of Pr iii.

The error resulting from the use of this three term series may be estimated from La iii [24], where a four term ns series (n = 6, 7, 8, 9) is known. The ionization energy derived from this series agrees with those obtained with nf and ng series to within 10 cm−1. By using only the first three terms of the ns series in La iii one obtains a value for the ionization energy differing from that given by the four term series by −115 cm−1. I therefore added an equivalent fractional amount to the calculated ionization energy of Pr iii obtained from the three term series and estimate the uncertainty to be equal to this quantity. This gives the ionization energy of Pr iii as 21.625 eV (174420 cm−1) with an estimated uncertainty of 0.016 eV (130 cm−1).

This procedure for estimating the correction for the quadratic term in the quantum defect is valid if series of this kind generally exhibit the same behavior. It was noted in reference 10 that an examination of the curves of the quantum defect (σ) versus term energy (T) for the ns series of a large number of alkali-like atoms shows that their shapes are similar, and for the same period are practically identical (see table IV of ref. 10). Therefore, the use of the four-member series in La iii to estimate the error in the ionization energy derived from a three-member series in Pr iii is reasonable.

Acknowledgments

I am pleased to thank Prof. R. Chabbal, Director of Laboratoire Aimé Cotton, Orsay, France, for making available the excellent computer programs for calculating energy matrices written by Y. Bordarier and A. Carlier of his staff. My first experience with these programs was gained at his laboratory where part of the present theoretical analysis was carried out.

I also thank Mrs. Z. Goldschmidt for providing NBS with the library of energy matrices compiled at Hebrew University, Jerusalem, Israel, by Prof. G. Racah and his co-workers.

The assistance of Dr. R. Cowan of the Los Alamos Scientific Laboratory in checking for errors in the energy matrices by independently calculating them was extremely valuable.

Dr. V. Kaufman generously contributed the exposures of the Pr spark made with the Eagle vacuum spectrograph.

Footnotes

1

Figures in brackets indicate the literature references at the end of this paper.

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