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    Vol. 73, No. 8/August 1983/J. Opt. Soc. Am. 999

    Telluric spectra from 4690 o 5525A in a humid atmosphereA. Rajaratnam and K.T. Lua

    Department of Physics,National University of Singapore, Kent Ridge,Singapore 0511Received August 28, 1981; revised manuscript received March 29, 1983

    Solar spectra in the region 4690 to 5525 A have been taken with a 4.5-m high-resolution grating spectrograph fordifferent solar zenith angles. Three-hundred eighty-five telluric lines were measured, and their wavelengths, half-intensity widths, equivalent widths, and identifications are reported.

    INTRODUCTIONA large number of telluric lines have been measured and listedin the tables of solar spectrum wavelengths of Moore et al.,'Swensson et al. ,2 and Migeotte et al.3 In the 1978edition ofthe Air Force Geophysics Laboratory's (AFGL's) atmo-spheric-absorption line parameters compilation (see Refs. 4and 5), 139,000 transitions arising from atmospheric absorp-tion covering 0.3-17 880 cm- 1 were included. A compre-hensive review of the absorption of solar radiation by atmo-spheric gases was given by Laulainen. 6However, most of the measurements on atmospheric ab-sorption was done at low or medium resolution (see, e.g., Ref.7), whereas, for those done at high resolution, the primaryobjective was to study the stellar atmospheres, and observa-tions were mostly made at high-altitude observatories to avoidatmospheric water vapor.The atmospheric-absorption parameters listed in the AFGLcompilations4 5 were derived from high-resolution measure-ments made at large solar zenith angles so as to detect moretelluric lines. However, this listing ends at 17 880 cm-'.Singapore, having one of the world's most humid atmo-spheres, has for its vertical atmospheric column on the average5-cm precipitable water vapor. During late afternoons, whenthe relative air mass increases to 30 or more, the atmosphericwater-vapor path length is more than 150 cm of H20.In view of this, Singapore provides an ideal site for studyingthe atmospheric water-vapor absorption.In this paper we report the detection of telluric lines in thespectral region of 4690 to 5525 A (21 313 to 18 095 cm-1 ).EXPERIMENTAL DETAILSThe image of the solar disk was stabilized with an equato-rial-mount coelostat system installed on top of a light towersituated at one end of our laboratory building. The collectorwas a 200-mm-diameter parabolic mirror of 3.5-m focal lengthgiving a solar image of around 30 mm. The solar spectra werephotographed with a 4.5-m plane-grating spectrograph at aresolution of 306 000 at second order. Overlapping of dif-ferent orders was avoided by using bandpass color filters.The solar spectra were taken at an instrumental dispersionof 0.68 mm/A at secondorder. An optimum slit width of 20Am was used throughout the whole experiment. The slitheight was set at 6 mm. Exposure times varied from fractionsof a second to a few minutes.

    Solar spectra were taken for different solar zenith angles.The spectra for the setting sun (maximum solar zenith angle)were the most valuable as many weak telluric lines that failedto appear earlier were well developed on these spectra.Whereas most of the spectra were taken at the center of thesolar disk, a number of spectra were also taken from the eastand west limbs of the solar image.The position of the spectral lines were measured by usingan Abb6 comparator, and their intensities were evaluated fromthe densitometric tracing made from a Jarrell-Ash micro-densitometer. A portion of the microdensitometer tracingof the solar spectrum around 5018 A is shown in Fig. 1.

    DEDUCTION OF WAVELENGTHThe wavelengths of solar lines listed in Ref. 1 were used asreference. For computing wavelengths, a least-squaresmethod similar to that employed by Pierce and Breckinridge8was used. Wavelengths (X) of the identified solar lines andtheir positions (x) were fitted to a third-degree polynomial,i.e.,

    X=a +ax +a2x2 +a3x3, (1)where ao, a1 , a2, and a 3 were constants, and the standard de-viation of fitting o-was computed. The polynomial constantsao, a 1, a2, and a3 were used with the comparator readings (x)to compute the wavelength for every measured line.

    As our solar image was only 30 mm in diameter, it was notpossible to ensure that solar spectra were taken at the exactcenter of the solar image, and telluric wavelengths obtainedfrom Eq. (1) (by using solar wavelengths as standards) wereshifted by an amount rX, which was given bybX = XA- X, (2)

    where Asand Xrepresent the Doppler-shifted and -unshiftedwavelengths, respectively, for any spectral line. A quantitys is defined as

    s= &/X. (3)It was noted that s was a constant for any single spectralexposure as s = v/c, where v was the average radial velocityof the solar atmosphere toward the earth and c was the ve-locity of light.As there were frequently a large number of known telluriclines on a spectral plate, several values of s were derived and

    0030-3941/83/080999-13$01.00 1983 Optical Society of America

    A. Rajaratnam and K. T. Lua

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    1000 J. Opt. Soc. Am.IVol. 73, No. 8/August 1983

    C:0UGD

    a)04-'0L.UM

    I itLA9l-

    LAI-Co9-

    ColLO

    Ei ;r

    0iLi-SStC)LO .-

    C)CJLO

    0U-co(I?

    LO

    Ga,tCJ

    EEto.

    Fig. 1. Microdensitometric tracing of solar spectrum around 5018 A. Telluric lines are marked atm.their average(s) computed. In this calculation, XAwas thewavelength of a known telluric line computed from Eq. (1) (inwhich solar wavelengths from Ref. 1 were used as standards)and X was the wavelength of the same telluric line, which wasalso obtained from Ref. 1. Wavelengths of new telluric lines[as obtained from Eq. (1)] were then corrected accordingly byusing Eqs. (2) and (3).

    INTENSITY MEASUREMENTAs the response of the photographic emulsion is stronglywavelength dependent,- a calibrated seven-step neutral-den-sity filter was used in front of the spectrograph slit. Intensitycalibration was performed every 50 A throughout the entirespectral region.The half-intensity widths (HW's) of the spectral lines weremeasured with a scale placed on top of the microdensitometrictracing of the solar spectra. The widths were then convertedto wavelength units (milliangstroms) according to the lineardispersion of the spectrum. The equivalent widths (EW's)were estimated from the product of peak percentage absorp-tions (A) and the HW's, i.e.,

    EW= A X HW, (4)where

    Io - IA (5)IoPRECISION OF MEASUREMENTPrecision of Wavelength MeasurementAlthough the Abb6 comparator used in measuring line posi-tions was able to provide readings accurate to 0.1 Am (equiv-

    -E Aalent to 0.15 mA at 5000A), the precision of the positionmeasurement was much lower because of the difficulty inascertaining the spectral line center (especially or faint lines)and also the stability of the reference solar lines. The solaratmosphere is never at rest. Direct measurements9 of themean random velocity of solar granules leads to a value of 370m/sec, which alone may cause a Doppler displacement of 6.2mA at 5000A. This would not only broaden the solar linesused as standards but may also shift the centers of the solarlines in some direction if there is an instantaneous directionalmovement of the solar atmosphere when the spectrum istaken. Fortunately, because of the smallness of the solarimage, with a slit size of 20 um X 6 mm, there was enoughaveraging to avoid this instantaneous directional movementof the solar lines. However, even if this movement did occur,the effect would have been absorbed in the Doppler-shiftcorrection, which was mentioned earlier.The Doppler-shift correction led to a further error in thewavelength measurement. The average standard deviationin s was found to be 0.67 X 10-6, which is equivalent to 3.4 mAat 5000 A.As all spectral lines were measured four to ten times, stan-dard deviations of the wavelength measurement (S) wereobtained. They had an average value of 5.3 mA for wave-lengths measured to 0.001A (394 lines) and 23 mA for thosemeasured to 0.01A (77 lines).The internal consistency of the wavelength measurementcan be deduced from the combination differences applyingto the identified water-vapor lines. The difference betweenthe calculated wave numbers (based on the derived energylevels'1 ) and the measured wave numbers has an average valueof 0.020 cm- 1 , which is equivalent to 5.8 mA at 18 390 cm' 1 .The line at 18 250.77 cm-' has not been included in this cal-culation since it consists of three unresolved water-vaporlines.

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    Vol. 73, No. 8/August 1983/J. Opt. Soc. Am. 1001Table 1. Ratio of Equivalent Widths Measured inThis Work to Those Measured by Moore et aLa

    Spectral Region (A) b4689-4855 0.84 + 0.084855-5231 0.93 0.085231-5410 0.93 i 0.095409-5684 0.85 0.135684-5977 0.84 i 0.095977-6015 0.88 i 0.01

    Average 0.88 + 0.08a Ref.1.

    Precision of Intensity MeasurementThe HW's of 118spectral lines were randomly selected andmeasured twice (fromdifferent spectra) and their deviationscalculated. The average deviation was found to be 3.9% of themeasured widths. This amounts to 5 mA on the wavelengthscale for an average HW of 136 mA.Another 103 telluric lines were again randomly selected, andthe EW's were computed twice (from different spectra).Again,it wasfound that they agreedwith eachother to within9.6%.The reliability of the intensity measurement was also testedby comparing intensities of solar lines measured in this workwith those given in Ref. 1, assuming that intensities of solarlines remain consistently unchanged.A ratio b is defined as

    EW (this measurement)b = * 6)EW (Ref. 1)It was found that b has an average value of 0.88 0.08 (see

    Table 1). This is not unexpected since it is well known thatthe equivalent width of a Voigt function' 0 is given by the ex-pression in Eq. (4) multiplied by aconstant that variesfrom1.06 for a pure Gaussian line to 1.57 for a pure Lorentzian line.For solar lines, a typical value of 1.12 is applied. If this factoris applied to b, it becomes 0.986, which indicates that thepresent measurements are, on the average, within 1.4% ofthose listed in Ref. 1.CLASSIFICATION OF SPECTRAL LINESA spectral line was classified as telluric, i.e., arising from theabsorption of the earth's atmosphere, provided that

    (1) It did not showa Doppler shift as solar spectra fromthe east and west limbs of the solar imageswere compared.(2) It exhibited a significant intensity enhancement assolar spectra of low sun were compared with those taken atnoon.An analysis of the vibrational-rotational spectrum of thewater vapor has been carried out, and 65 spectral lines werefound to originate from the absorption of atmospheric watervapor. The details of the analysis have been reported else-where."

    TABLE OF TELLURIC WAVELENGTHS FROM4690 TO 5525 AOur table of telluric wavelengths contains 471 telluric linesconverting the spectral region 4690 to 5525 A (see Table 2).The entries in the columnsof the table are explained as fol-lows:

    Table 2. Telluric Wavelengths from 4690to 5525A(1) (2) (3) (4) (5) (6) (7) (8) (9)Standard WaveWavelength Deviation Number HW EWNo. (A) (mA) (cm) (mA) (mA) Origin Band Transition Remark

    4690.798(3)Ti I

    4696.38(4)C24696.622(4)C 2

    4720.133(3.5)Fe IIp

    4850.201(1.5)Cr I?

    21 4851.13722 4851.885 5 20607.965 20604.79 85 3 ATM131 25 ATM

    12345678910

    11121314151617181920

    4690.724690.8284694.5234695.544696.4274696.6414696.8014702.014710.7754711.3154720.2204721.9124832.3154833.724835.5174846.0814850.0564850.194850.3304850.711

    60562447914765S9164681257

    21312.7221312.2321295.4621290.8421286.8221285.8521285.1321261.5521221.9921219.5621179.5221171.9420688.2320682.2220674.5320629.4620612.5620611.9920611.3920609.77

    1057419610096131105103

    786510413915711913114497144

    85161

    12619921

    131715113121316129

    84775

    ATMATMATMATMATMATMATMATMATMATMUIATMU'UIUIUIATMATMATMATM

    (continuedverleaf)

    A. Rajaratnam and K. T. Lua

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    1002 J. Opt. Soc. Am./Vol. 73, No. 8/August 1983

    Table 2. Continued(1) (2) (3) (4) (5) (6) (7) (8) (9)Standard WaveWavelength Deviation Number HW EWNo. (A) (mA) (cm) (mA) (mA) Origin Band Transition Remark

    23242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677

    4852.7774853.0474853.1444854.4864856.8114861.024861.5254863.0774864.914864.974868.6704868.7424868.9424877.7884889.7394889.8874895.614900.5154904.064904.764904.9004907.494908.874915.084994.8314997.7414999.8145001.6715002.125006.9835007.5075009.0465009.7805011.6565015.9225016.6905017.0715018.0865018.6215018.7435019.1325019.2625019.4965020.2175020.3715024.3205024.5875025.8725206.1675026.6195028.4885028.7485029.2305029.3345029.481

    4 19877.807 19877.22

    127199937691696987

    58521628

    382

    UIATMATMATMATMATMATMUI

    4864.85(2)V I p39 10 UIUI78 2 UI100 3 UI100 13 ATM

    45752

    30866422

    765876407

    122262315354763

    247657

    20601.0020599.8520599.4420593.7520583.8920566.0720563.9320557.3720549.6220549.3720533.7520533.4520532.6020495.3720445.2820444.6620420.7620400.3220385.5720382.6620382.0820371.3220365.6020339.8720015.1120003.4619995.1619987.7419985.9419966.5319964.4419958.3119955.3919947.9219930.9519927.9019926.3919922.3619920.2319919.7519918.2019917.6919916.7619913.9019913.2919897.6419896.5819891.4919202.6419888.5419881.1519880.1219878.21

    ATMATMUIATMUIUIUIUIUIUIUIUIATMATMATMATMUIUIUIATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMUIATMUIATM

    75 5 ATM100 53 ATM

    156869960224

    13414211618116411617810297110110189

    677192

    109104

    7312221550831219296

    1099279969679

    20910975125

    5029.484(4.5)MgH

    2111628456986345156

    144755

    1291540

    1112201525

    5161123232512431316

    5017.047(7.5)C 2

    5019.22(4)Cr I5019.478(7.5)Fe II?

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    Vol. 73, No. 8/August 1983/J. Opt. Soc. Am. 1003Table 2. Continued

    (1) (2) (3) (4) (5) (6) (7) (8) (9)Standard WaveWavelength Deviation Number HW EWNo. (A) (mA) (cm) (mA) (mA) Origin Band Transition Remark

    5034.057(2)Co I5034.356(7)C2

    78798081828384858687888990919293949596979899100

    101102103104105106107108109110111112113114115116 5050.481117118119120121122123124125126127128129130

    5052.3805053.4785053.8205055.2155056.1655056.2935056.445056.6895056.9675057.5945058.2365059.0175059.5165061.109

    131 5062.270132 5065.97

    8 19794.57 141 32 ATM768669286277367

    19787.1319782.8319781.4919776.0319772.3219771.8219771.2419770.2719769.1819766.7319764.2219761.1719759.2219753.00

    1211251121121331331331335011213311291112

    5518416

    1636871338572132047

    ATMATMATMUIATMATMATMATMUIATMATMATMATMATM

    5056.126(12)C25056.252(11)C25056.434(12)MgH

    6 19748.47 100 12 ATM11 19734.05 137 98 ATM 5065.989(19)Ti i(continuedverleaf)

    5030.2905030.4165031.2705032.675033.0855033.2805034.1075034.3235034.5205034.6455034.8795034.9365035.2625035.6045035.6915036.295036.6265036.7815037.275037.705038.2825038.8475039.5205039.7015040.6395041.405041.9005042.9165043.0885043.9655045.3105045.6735045.7825046.3325046.9855047.4475047.6345050.298

    478

    28553253627752237

    262553937

    1427744127567756

    19874.0219873.5319870.1519864.6219862.9919862.2219858.9519858.1019857.3319856.8319855.9119855.6819854.4019853.0519852.7119850.3519849.0219848.4119846.4819844.7919842.5019840.2719837.6219836.9119833.2219830.2319828.2619824.2719823.5919820.1419814.8619813.4319813.0119810.8519808.2819806.4719805.7419795.29

    1171551349688101134

    11784847596381421157150

    109113117961011091172149612413411314220896

    9696112133112

    4293825

    631506747

    410503836841

    86956640354140

    129377891743926981223

    2518

    UIUIATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMATMUIATMATMATMATM

    5034.991(4)Fe

    5036.277(42)Fe I

    5037.200(3.5)Atm5037.709(20)C2

    5039.774(7)C25040.614(16)Ti

    5042.921(8)MgH

    5045.270(12)C2

    5046.929(4.5)C25047.558(2)C 2

    A. Rajaratnam and K. T. Lua

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    Vol. 73, No. 8/August 1983/J. Opt. Soc. Am. 1005Table 2. Continued

    (1) (2) (3) (4) (5) (6) (7) (8) (9)Standard WaveWavelength Deviation Number HW EWNo. I (A) (mA) (cm) (mA) (mA) Origin Band Transition Remark188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240

    5162.2105234.2635236.6375236.8965237.5365240.0305240.1855240.3115240.7945243.495243.5475243.9825244.7385245.1885245.8205246.9135251.125251.4975252.3085254.425254.4695254.745266.3775269.2465269.7765276.9945287.8865290.5905294.3985297.5915301.395304.6115310.3165323.545376.5165380.675382.8535385.8435387.895387.9465388.2005389.875390.2875390.7505392.8135394.1645394.3185395.4485395.7195396.4205397.8805397.955398.540

    241 5399.850242 5401.107

    63686428227.34446228661864476728

    10472465

    2242456

    17453073788627815

    10

    19366.1519099.5719090.9119089.9619087.6319078.5519077.9819077.5219075.7619065.9619065.7519064.1719061.4219059.7819057.4919053.5219038.2519036.8919033.9519026.3019026.1219025.1418983.1018972.7618970.8618944.9118905.8818896.2218882.6318871.2518857.7318846.2818826.0318779.2718594.2318579.8818572.3418562.0318554.9818554.7918553.9118548.1618546.7318545.1318538.0418533.4018532.8718528.9918528.0618525.6518520.6418520.4018518.37

    124116

    74112128120124

    9

    87669191991579

    152

    9411098130102146211276140107270151111

    9187871319599105106

    126118106679155

    91049

    616141223

    114284139109

    101814107491793

    12151534714158

    1325687145

    UIU'UIUIUIATMATMATMUIATMUIUIUIATMUIUIATMATMATMATMUIATMATMATMATMATMATMATMATMATMUIATMATMATMUIUIATMATMATMATMATMATMATMATMATMATMH20H20ATMATMH20ATMATM

    10 18513.88 106 11 ATM8 18509.57 ? ? H2 0

    5162.281(154)Fe5234.213(8)Ndi

    5240.359(5)Fe p5240.878(4.5)V I

    5251.487(2.5)Ti I

    5254.651(7)Co I5266.309(12)Co I

    5269.701(?)Fe I

    5301.312(3)Fe I p5310.242(3)Co i?5323.507(1)Fe I

    5382.755(1)Fe I5385.890(1.5)Nd i

    411 633-532411 321-202

    411 542-441

    5394.200(2)Atm?

    5398.519(4.5)Atm?5399.777(5)Co?

    411 523-422 (continued verleaf)

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    1006 J. Opt. Soc. Am./Vol. 73, No. 8/August 1983Table 2. Continued

    (1) (2) (3) (4) (5) (6) (7) (8) (9)Standard WaveWavelength Deviation Number HW EWNo. (A) (mA) (cm) (mA) (mA) Origin Band Transition Remark243 5402.077

    244 5402.333

    8 18506.25 106 35 H 20H207 18505.37 91 16 ATMATMH20ATMATMATMATMATMATMH20H20H20ATMH20H20

    411 532-431411 817-716

    411 533-432

    5406.337(9)Fe I p411 524-423411 431-330411 533-514411 422-321411 432-311

    7 18483.11 111 27 ATM

    245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294

    3 18442.83 114 58 H 20

    5408.088(3)Co I?

    5408.823(5.5)Fe II

    5402.5995403.0825403.4185404.5415404.8935405.0965406.2975406.9345407.1005407.8005408.0315408.0515408.2405408.3905408.8405409.3925409.5025409.9705411.7425411.9905412.1875412.935413.1065413.9205414.1225414.3715414.475414.7625414.965415.0985415.3695415.5505415.6505416.1435416.5925416.6895416.9135417.2485417.485417.635417.9155418.1555418.3035418.4885419.325419.3935419.7245419.875420.2925420.45

    411 404-303411 524-505

    411 414-313

    5414.367(12)H 20

    5414.881(5)Fe I p

    411 423-404411 322-221

    411 707-606411 221-202

    411 303-202

    411 313-212 5419.393(5)H 2 0

    5420.318(?)Mn I5420.412(?)Mn I

    411 211-110 5420.622(7)H 20

    48286457553459

    18504.4618502.8118501.6618497.8118496.6118495.9118491.8018489.6318489.0618486.6618485.8818485.8118485.1618484.65

    8783791348771154918351878787

    12103227

    122315205343426

    ATMATMATMATMATMATMATMH20ATMATMH20H20ATMATMH20UIH20ATMH20ATMH20H20ATMUIUIH20ATMATMATMUIH20ATMU'ATMATM

    411 606-505 5413.101(18)Atm5414.075(31)Fe II

    6623322632532642626663675526222534293820.612

    18481.2218480.8518479.2518473.2018472.3518471.6818469.1418468.5418465.7718465.0818464.2318463.8918462.9018462.2218461.7518460.8318460.2118459.8718458.1918456.6618456.3318455.5618454.4218453.6318453.1218452.1518451.3318450.8318450.2018447.3718447.1218445.9918445.5018444.0618443.52

    10347831009110111583

    14910911810695245

    100919358

    107848811094951711088941

    10913099

    197106

    ?5541810312362126269771210191

    1282237

    13162218163553

    6063

    11146

    A. Rajaratnam. and K. T. Lua

    295 5420.653

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    Vol. 73, No. 8/August 1983/J. Opt. Soc. Am. 1007Table 2. Continued

    (1) (2) (3) (4) (5) (6) (7) (8) (9)Standard WaveWavelength Deviation Number HW EWNo. (A) (mA) (cm) (mA) (mA) Origin Band Transition Remark296297298299300301302303304305306307308

    309310311312313314315316317318

    5422.9585423.1005423.455423.535424.0025424.375424.5415424.8595425.7685425.945426.435426.5265426.806

    5427.0515427.8775428.3835428.5895428.6355428.6665430.1405430.2635430.8795431.210

    411 202-101 5422.951(6.5)H 20

    411 212-111411 413-414 5424.544(10)Ni I

    363415714552

    305045

    3659789776

    319 5431.38320 5431.597321 5431.78

    27 18406.413 18405.67

    27 18405.05

    ? ? UIH2094 32 H2 0H2073 6 ATM

    411411411211-212441-440440-441

    5431.541(4.5)Nd I

    322323324325326327328329330331332333334335336337338339340341342343344

    5432.315432.455433.1445433.5985433.7305433.9285434.0405434.1805434.7205434.8435435.4055435.5995436.3405436.8605437.1075437.385438.0005438.1665438.9225439.505439.7775440.235441.144

    20153795628353365

    26568

    173

    158

    18403.2618402.7818400.4318398.8918398.4518397.7818397.4018396.9218395.1018394.6818392.7818392.1218389.6118387.8518387.0218386.1018384.0018383.4418380.8818378.9318377.9918376.4618373.38

    8690

    61102122110

    89134147931701507769

    10197

    110113

    9

    17

    285322756168662471

    514

    543

    61513

    ATMUIATMATMH20H20ATMH20H20H20H20

    I H 2 0H20H20ATMH20{ H 2 0

    I H 2 0ATMATMH20ATMATMH20H20

    92 52 H 20

    5432.33(?)Ti

    411 542-541411 110-111411411411411411411411

    411411411

    422-423330-331331-330321-322633-634220-221431-432

    111-110432-431532-533

    5436.302(36)Fe I5436.845(1)0 I?

    5438.051(2.5)Fe I

    411 322-3215439.708(2)Atm

    411 533-532411 212-211411 000-101 5442.293(5)H 2 0/Nd II(continued verleaf)

    18434.9918434.5118433.3218433.0518431.4418430.1918429.6118428.5318425.4418424.8618423.2018422.8718421.92

    18421.0918418.2918416.5718415.8718415.7118415.6118410.6118410.1918408.1018406.98

    10653106141

    258719583

    113110125

    19214916110216717211512311557

    612915

    21618177

    6813

    281013265059262735

    H20UIATMATMH20H20ATMATMATMUIATMATMH20H20ATMUIATMH20ATMH20ATMATMUIATM

    411 652-651411 651-652

    5427.803(5.5)Fe I411 312-313

    411 101-000 5428.707(6)Fe I p

    A. Rajaratnam and K. T. Lua

    345 5442.298 3 18369.48

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    1008 J. Opt. Soc. Am./Vol. 73, No. 8/August 1983

    Table 2. Continued(1) (2) (3) (4) (5) (6) (7) (8) (9)Standard WaveWavelength Deviation Number HW EWNo. (A) (mA) (cm) (mA) (mA) Origin Band Transition Remark

    5442.420(8.5)Cr I411 423-422

    5443.426(3.5)Fe I p

    5444.588(14)Co I

    346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399

    5442.3505443.0415443.1725443.295443.4735443.8165444.0635444.0735444.1985444.5035445.4105445.8505446.0755446.3795447.1105447.285448.1075448.7275448.9265449.0335449.4135449.525450.2705451.1245451.6505451.9655452.3765453.945454.4505455.1165455.2885456.1065456.1915456.3935456.7785457.1725457.4805458.2055458.5285458.7595458.9755459.2325459.4305459.5905459.7625460.0555460.2075460.615461.0165461.8505462.0015462.0445462.4335463.677

    985162644457217923155331325482

    3273374148343557122S512588566

    18369.3118366.9718366.5318366.1318365.5218364.3618363.5318363.4918363.0718362.0418358.9818357.5018356.7418355.7218353.2518352.6818349.9018347.8118347.1418346.7818345.5018345.1418342.6118339.7418337.9718336.9118335.5318330.2718328.5618326.3218325.7418322.9918322.7118322.0318320.7418319.4118318.3818315.9518314.8618314.0918313.3618312.5018311.8418311.3018310.7218309.7418309.2318307.8818306.5218303.7218303.2218303.0718301.7718297.60

    14 18296.69 289 38 ATM

    10492929

    96727272849

    9810879

    1029

    13699

    11982123

    97899

    11090114

    24413894

    913098126

    102981108985891748919073

    10110110512593

    1098197

    133104

    9449

    25812

    127

    4512

    122436282251

    91126

    717112010351814908

    195383361941134

    1875

    2621512419417

    ATMATMH20ATMATMATMATMATMATMATMATMATMATMATMH20ATMH20ATMATMATMH20ATMATMH20ATMATMATMATMH20ATMATMATMATMH20ATMH20ATMH20H20ATMUIATMH20ATMATMATMUIATMUIATMATMATMH20H20

    5448.933(2)Ti I411 101-202

    411 110-211 5451.127(6)Nd II

    5451.957(3.5)Ti5452.298(3.5)Co I411 414-413

    5455.095(2)Fe I p

    411 202-303 5456.366(8.5)H 2 0

    411 221-322

    411 303-322411 220-321

    411 211-312

    411 313-414411 331-432

    5457.474(11)Mn I5458.58(6)Fe I

    5459.201(1.5)H 20

    5461.823(2.5)Fe I p

    5462.501(40)Ni I

    5463.972(9.5)Cr I

    411 313-312411 111-212 5447.248(3)Ni i? p

    A. Rajaratnarn and K. T. Lua

    400 5463.95

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    1010 J. Opt. Soc. Am./Vol. 73, No. 8/August 1983

    Table 2. Continued(1) (2) (3) (4) (5) (6) (7) (8) (9)Standard WaveWavelength Deviation Number HW EW

    No. (A) (mA) (cm) (mA) (mA) Origin Band Transition Remark455 5499.756 3 18177.57 ? ? ATM456 5500.069 7 18176.54 52 1 UI457 5500.390 10 18175.48 108 6 ATM458 5500.83 14 18174.02 92 3 ATM 5500.749(3)C 2459 5503.541 6 18165.07 192 10 UI460 5503.754 6 18164.37 96 5 ATM461 5505.168 3 18159.70 72 2 ATM462 5505.633 2 18158.17 108 3 UI 5505.728(2.5)Fe I p463 5507.560 7 18151.81 80 4 ATM464 5508.492 3 18148.74 ? ? UI465 5509.92 18 18144.04 ? ? H 2O 411 313-432 5509.909(19)Y ii466 5511.321 3 18139.43 72 9 ATM467 5513.762 5 18131.40 76 5 H 2 0 411 817-918468 5515.905 2 18124.35 72 7 ATM469 5523.967 2 18097.90 175 14 UI470 5524.572 7 18095.92 79 4 ATM 5524.578(2)C 2471 5524.891 4 18094.87 146 7 ATM

    Column 1: WavelengthsWavelengths of spectral lines with a precision of measurementbetter than 0.01 A are entered to three decimal places. Thosewith a measurement precision worse than 0.01 Aare enteredto two decimal places only.Column 2: Standard Deviation of MeasurementAs wavelengths under column 1 are averages of several mea-surements (four to ten times), standard deviations are derivedand entered in this column in units of milliangstroms.Column 3: Vacuum Wave NumbersThe vacuum wave numbers of the spectral lines were calcu-lated from Edlen's formula,'4 i.e.,(n - 1)108 = 6432.8+ 2,949,810(146v2)l+ 25,540(41v2)-l, (7)and

    Vvac = 1/Xvac = 1/nlXair, (8)where Vvac s the vacuum wave number in inverse micrometersand n is the refractive index of the air.Column 4: Half-Intensity WidthsThe HW's are entered in units of milliangstroms in this col-umn. A question mark is entered if this quantity has not beenmeasured.Column 5: Equivalent WidthsThe equivalent widths as estimated from Eq. (4) are enteredin milliangstroms. The water-vapor path lengths duringwhich the spectra were taken were estimated from the solarzenith angles and the water-vapor contents in the verticalatmospheric column. These data are provided in Table 3.

    Table 3. Water-Vapor Path LengthSpectral Region Solar Zenith Water Vapor

    (A) Angle (deg) (cm H2 0)4689-5231 81.8 375231-5408 82.5 405408-5684 82.9 42

    Column 6: Origins of Spectral LinesThe identified water-vapor lines are entered as H20. Spectrallines that are arising from the absorption of the Earth's at-mosphere are entered as ATM; otherwise an entry of UI in-dicates that the identification of the atmospheric origin is notcertain.

    Column 7: Band Designation of Water-Vapor LinesIt was found that all identified water-vapor lines listed inthis table belong to the vibration-rotation band 411.

    Column 8: Rotational TransitionsThe rotational quantum numbers for each identified transi-tion are given. The upper vibrational state is 411, and thelower state is the ground state 000. The upper rotationalstates (J'Ka'Kc') are given first, followed by the lower ones(J"Ka"Kc").

    Column 9: RemarksMany spectral lines are blended by solar lines. The wave-lengths, equivalent widths (in milliangstroms), and origins arelisted under this column. These data are obtained from Ref.1.

    A. Rajaratnam and K. T. Lua

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    Vol. 73, No. 8/August 1983/J. Opt. Soc. Am. 1011CONCLUSIONWe have measured 471 spectral lines in the region of 4690 to5515 A,of which 65 are identified as atmospheric water-vaporlines and 320 are from the absorption of the atmospheric gaseswhose origins are not identified. The wavelengths, wavenumbers, half-intensity widths, equivalent widths, andidentifications are arranged into a table. We believe that twogroups of atmospheric lines near 4860 and 5080 Aalso belongto atmospheric water vapor. Work has already started inthese two regions, and results will be reported later.ACKNOWLEDGMENTWe wish to express our sincere thanks to the reviewers fortheir valuable comments.REFERENCES1. C. E. Moore, M. G. J. Minnaert, and J. Houtgast, "The solar

    spectrum 2935 A to 8770 A," Nat. Bur. Stand. (U.S.) Monog. 61(1966).2. J. W. Swensson, W. S. Benedict, L. Delbouille, and G. Roland,"The solar spectrum from X7498 to X12016, a table of measuresand identifications," Mem. Soc. R. Sci. Liege 5 (1970).

    3. M. Migeotte, L. Neven, and J. Swensson, "The solar spectrumfrom 2.8 to 23.8 microns. Part II, measures and identifications,"Mem. Soc. R. Sci. Liege 2 (1957).4. R. A. McClatchey, W. S. Benedict, S. A. Clough, D. E. Burch, R.F. Calfee, K. Fox, L. S. Rothman, and J. S. Garing, "AFCRL at-mospheric absorption line parameters compilation," Environ-mental research papers No. 434, AFCRL-TR-73-0096 (Air ForceCambridgeResearch Laboratories, Bedford, Mass., 1973).5. L. S. Rothman, "Update of AFGL atmospheric absorption lineparameters compilation," Appl. Opt. 17, 3517-3518 (1978).6. N. Laulainen, "Minor gases in the Earth's atmosphere: a reviewand bibliography of their spectra," Project Astra Pub. No. 18(University of Washington, Seattle, Wash., 1972).7. J. A. Curcio, L. F. Drummeter, and G. L. Knestrick, "An atlas ofthe absorption spectrum of the lower atmosphere from 5400Ato 8520 A,"Appl. Opt. 3, 1401-1409 (1964).8. A. K. Pierce and J. B. Breckinridge, "The Kitt Peak table ofphotographic solar spectrum wavelengths," Kitt Peak Contrib.559 (1973).9. R. S. Richardson and M. Schwarzschild, "On the turbulent ve-locities of solar granules," Astrophys. J. 111, 351-361 (1950).10. G. D. Finn and D. Mugglestone, "Table of the line broadeningfunction H(a, v)," Mon. Not. R. Astron. Soc. 129, 221-235

    (1965).11. A. Rajaratnam and K. T. Lua, "Analysis of H 20 vibration-rotationspectra in the visible region," J. Phys. B 15,3615-3638 (1982).12. B. Edlen, "The dispersion of standard air," J. Opt. Soc. Am. 43,339-344 (1953).

    A. Rajaratnam and K. T. Lua