1987ApJ. . .318. .1613 previous resultsobtainedfrom otherinfraredflux-limited magnitudes andnuclearactivity ofoursamplewiththosea metry ofallobjectsinthesamplewasalsoobtainedbyusing structed anew60gmluminosityfunctionandcompare it to the IRASsurveydatabase.Fromthesedata,wehave con- Geller, andHuchra(1986).Accuratefour-colorinfraredphoto- samples ofgalaxies.Finally, wecomparetheabsoluteblue selected galaxiescarriedoutinthisregionbydeLapparent, the entiresamplebyextendingredshiftsurveyofoptically joint facilityoftheSmithsonianInstitution andtheUniversityofArizona. brighter than2Jyat60gm.Wehaveobtainedredshiftdata for important consequencesfortheanalysisoffainterX-ray samples (Gioiaetal1984). among X-rayselectedgalaxiesandhasbeenshowntohave luminosity functionatitshigh-andlow-luminosityextremes. and whetherdifferentclassesofgalaxiescontributetothe necessary toknowtheinfraredluminosityfunctionofgalaxies, Such asubdivisionoftheluminosityfunctionhasbeenfound of evolutionthespacedistributionIR-brightgalaxies,itis sion fromdustyinterstellarandcircumstellarcloudsinthe The surveyisinsensitivetoobscurationbydust,thoughemis- plete samplesofgalaxiesselectedatfar-infraredwavelengths. Robinson etal.1984).Tointerpretthesourcecountsinterms Milky Waycausesconfusionnearthegalacticplane(Rowan- The AstrophysicalJournal,318:161-174,1987July1 © 1987.TheAmericanAstronomicalSociety.Allrightsreserved.PrintedinU.S.A. 1 The presentstudyfocusesonacompletesampleofgalaxies The IRASsurveyoffersthefirstopportunitytostudycom- Workreportedhereisbasedonobservations obtainedwiththeMMT,a 10 2 h 82 Subject headings:galaxies:photometry—infrared:sources sample. similar inbothsamples,suggestingthatnuclearactivityisnotastrongcontributortotheinfraredfluxthis IRAS galaxiescanbeusedtodeducethemassdistributioninuniverse.Thepercentageofactiveis optically selectedgalaxiesinthecoreofComaCluster,raisingquestionwhethersourcecounts space distributionofthetwosamplesdiffer:densityenhancementIRASgalaxiesisonlythat in thesensethatIRASsampleincludesfewgalaxiesoflowabsoluteblueluminosity.Wealsofind redshift surveyshowthattheyaremorenarrowlydistributedinblueluminositythanthoseopticallyselected, leading tothesuggestionthatobservedluminosityfunctionisproducedbytwodifferentclassesofobjects. distinction betweenthemorphologyandinfraredcolorsofmostluminousleastgalaxies, below L=10theluminosityfunctionflattens.Thisisinagreementwithpreviousresults.Wefinda to 5xlO^iTo/lOO)L.The60jtmluminosityfunctionatthehigh-luminosityendisproportionalL~; lying theregion82Jyand I. INTRODUCTION 1 A STUDYOFFLUX-LIMITEDSAMPLEIRASGALAXIES Received 1986September3;acceptedDecember11 Beverly J.SmithandS.G.Kleinmann Harvard-Smithsonian CenterforAstrophysics Steward Observatory,UniversityofArizona University ofMassachusetts J. P.Huchra ABSTRACT F. J.Low 161 AND h having m<13intheselected region;21arenotinour incompleteness duetolargegalaxies, wesearchedtheUppsala cally LargeGalaxies(Riceet al.1986).Asafurthercheckon Jy at60/mi.Thisobjectwas addedtoourlist,andaccurate IRAS photometrywasobtained fromtheIRASAtlasofOpti- (0 ~9'),itsfluxwasunderestimatedinthePSCtobeonly 0.9 General CatalogofGalaxies (Nilson 1973).Itlists39galaxies listed inthePSC,butbecauseofitslargeangularextent with thenearbyspiralgalaxyNGC4725.This was clouds (Lowetal.1984).Theremainingsourcewasidentified our sample,andsixwerefoundtobecondensationsincirrus sky. Ofthese,sevenwereslightlyextendedgalaxiesalready in This cataloglists14objectswithS(60)>2Jyinourregion of axies oflargeangularsize,wesearchedtheIRASSmallScale ciently highgalacticlatitude(b>20°)thatconfusion with parison ofthespacedistributioninfrared-selectedandblue- Structures Catalog(1986;hereafterSSS)foradditionalobjects. sources mettheselectioncriterion. galactic objectsandinfraredcirrusisminimized.Eighty-six selected galaxies. between 8galaxy. these casestheIRASsourcewasassociatedwithbrightest than oneopticalobjectlieswithinthequotederrorellipse.In sample. Thesedatawereobtainedbyco-addingallavailable under contracttoJPL. 3 Table 3liststheIRASname,morphologicalclassi- IPACisfundedbyNASAaspartoftheIRASextendedmissionprogram XI247+2547 PSC Name 13408+3035 13387+2331 13376+2839 13126+2452 13086+2950 14151+2705 14026+3058 14008+2816 13573+2801 13538+3019 13532+2517 12590+2934 14221+2450 14219+2555 14165+2510 14158+2741 14390+3147 14356+3041 14280+3126 12522+2912 15361+2441 15327+2849 15193+3132 15018+2417 14547+2448 16211+3057 15566+2657 15465+2818 15373+2506 15327+2340 12437+3059 16423+2353 16403+2510 16081+2511 12428+2724 12422+2641 12415+3226 12344+2720 12341+2442 12338+2615 12334+2814 12289+2924 ZG 1340+30,UGC08685,M+05-32-074 ZG 1312+24,M+04-31-015 WY Boo,TMSS+30253 ZG 1353+30,UGC08856,M+05-33-021 ZG 1353+25,M+04-33-027 ZG 1338+23,M+04-32-025 ZG 1337+28UGC08648,M+05-32-058 ZG 1416+25,UGC09165,M+04-34-015 ZG 1402+30,M+05-33-046 NGC 5004A,ZG1308+29,UGC08259,M+05-31-150 ZG 1435+30,UGC09425,M+05-34-083 ZG 1422+24,UGC09230,M+04-34-025 M+05-33-042 NGC 4922,ZG1259+29,UGC08135,M+05-31-099 TMSS +20283,RAFGL1790 RX Boo,TMSS+30257,RAFGL1706 Mkn 673,ZG1415+27,UGC09141,M+05-34-007 ZG 1532+28,UGC09909,M+05-37-003 Arp 302,M+04-35-019 RW Boo,TMSS+30262,RAFGL1720 NGC 5653,ZG1427+31,UGC09318,M+05-34-058 ZG 1640+25,UGC10514,M+04-39-020 S CrB,+30272,RAFGL4990 NGC 6210 RY CrB,TMSS+30290,RAFGL5044 Mkn 492,ZG1556+26 R CrB,RAFGL4219 Mkn 860,ZG1537+25,M+04-37-016 Arp 220,ZG1532+23,UGC09913,M+04-37-005 RU Her,TMSS+30283,RAFGL1832 NGC 4793,ZG1252+29,UGC08033,M+05-31-003 NGC 4725,M+04-30-022 NGC 4676A,Arp242,ZG1243+31,UGC07938,M+05-30-077 NGC 4670,Arp163,ZG1242+27,UGC07930,M+05-30-072 M+05-30-069 TMSS +30241,RAFGL1564 ZG 1234+24,M+04-30-009 NGC 4656,ZG1241+32,UGC07907,M+05-30-066 NGC 4565,ZG1233+26,UGC07772,M+04-30-006 NGC 4559,ZG1233+28,UGC07766,M+05-30-030 ZG 1228+29,M+05-30-012 III. INFRAREDPHOTOMETRY Other Names 1987ApJ. . .318. .1613 © American Astronomical Society • 08323+3003 08322+2838 08082+2521 08354+2555 15018+2417 14547+2448 14356+3041 14158+2714 14151+2705 13538+3019 13532+2517 13086+2950 12021+3126 11555+2809 11102+3026 11069+2711 10565+2448 15327+2340 12590+2934 12437+3059 12031+3120 15373+2506 NAME PSC 08 3214.0283849 08 3525.0255549 08 3219.4300335 08 13.0252115 14 5447.9244857 IRÁS andOpticalPositionsofSelectedSources 15 0149.1241753 14 3540.0304157 14 1548.9274148 14 1506.0270517 13 5352.0301942 11 0656.92723 13 5315.0251741 12 0210.0312650 11 5530.9 11 1015.5 10 5635.4244843 13 0838.0295038 12 5901.0293458 12 4346.03100 12 0311.0312016 15 3246.0234010 15 3718.0250628 IRAS POSITION a S 28 0919 30 2647 Provided bythe NASA Astrophysics Data System TABLE 2 25 9104 20 10107 43 9104 41 6104 32 8102 20 13107 37 11114 21 35 10112 42 8116 33 10112 50 11115 31 10 21 10 34 7 47 8115 36 10117 24 10119 24 8103 17 9 AXES P.A. O (DEG.) 104 115 114 116 116 117 104 B 14 B 14 A 08 B 08 A 08 B 08 B 08 A 14 B 14 B 11 A A 13 B 13 B 11 C 11 A C 08 D 15 B 12 A 12 D 08 C 15 E B 15 OPTICAL POSITIONS 08 11 10 54 47.8 08 15.7 54 47.9 54 48.3 35 42.3 35 41.6 32 19.6 32 14.9 08 13.1 53 55.3 35 25.3 32 18.7 32 19.4 32 19.4 53 53.0 53 13.8 53 15.7 06 58.7 06 56.4 06 57.5 06 56.1 56 36.1 35 34.7 35 19.2 35 25.4 35 24.9 01 48.5 01 50.9 01 47.6 01 48.5 08 39.3 08 39.4 03 17.8 03 12.6 55 31.1 01 53.5 58 58.0 59 1.0 59 0.4 03 12.6 02 12.6 02 12.1 02 12.1 02 10.3 55 17.2 32 46.6 15 48.8 43 44.1 43 45.4 32 46.8 32 47.4 15 48.8 15 49.1 15 06.1 37 17.7 37 19.2 15 04.0 10 15.6 a 5 24 4842 24 48 24 4903 30 4143 30 4156 28 4023 28 3848 25 1943 27 4132 27 4156 30 0316 30 0338 30 0322 25 2122 24 1756 24 1756 27 4149 27 0514 27 0525 24 4840 25 5712 25 5535 25 5551 25 5549 24 1715 24 1738 30 20 30 1932 25 198 30 2649 27 1057 27 11 27 1113 27 1132 25 5641 24 1657 25 1739 29 5409 29 5037 31 1935 31 2615 28 0849 28 0925 23 4011 29 3631 29 3459 29 3437 31 0019 30 5947 31 2127 31 2008 31 2808 31 2815 31 2720 25 0632 23 3959 23 4026 25 0617 1987ApJ. . .318. .161S © American Astronomical Society • Provided by the NASA Astrophysics Data System X1247+2547 14221+2450 14219+2555 14165+2510 14158+2741 14151+2705 14008+2816 14026+3058 13573+2801 13538+3019 13532+2517 13408+3035 13387+2331 13376+2839 13126+2452 12590+2934 13086+2950 12522+2912 09399+3204 09273+2945 09120+2956 09076+3110 09534+2727 09069+2527 09028+2538 08354+2555 08327+2855 08111+2401 08082+2521 08001+2331 12428+2724 12422+2641 12344+2720 12341+2442 12338+2615 12289+2924 08323+3003 08322+2838 08117+2453 12437+3059 12415+3226 12334+2814 12239+3129 12200+3010 12173+2953 12159+3005 12099+2926 12093+2423 12031+3120 12021+3126 10078+2439 12015+3210 11598+3008 11069+2711 10565+2448 10282+2903 10245+2845 10131+3049 11561+2743 11561+2535 11555+2809 11085+2859 11004+2814 10576+2914 10460+2619 10407+2511 10369+2659 11547+2528 11474+2645 11102+3026 Name SBdmP SABed SABbc SAB be SABab SABb SABc pair S SBab SBO/a SbO/a SABb SABc SBab SBm SBa triple SBb Type pair star Sed Sc P star SBa SBa SO/a pair pair star Sed SBb Sab Sab Sbe Sab Sbc star star star S0- star Sc Sc Sb Im Im Sc Sb Sc SO cl Sb Sc Sa s S S P cl S S E S E S S S S Classifications andCorrectedIRASPhotometry 2890. (-21) 738. (-14) 399. (-14) <0.10 (19) <0.13 (29) <0.17 (28) <0.11 (19) <0.16 (15) 21.0 (-7) <0.26 (17) <0.11 (27) 65.8 (-10) <0.09 (14) <0.16 (33) <0.10 (16) <0.21 (24) <0.11 (20) 28.4 (-22) 73.5 (-17) 0.35 (25) 0.25 (19) 0.20 (23) 0.18: (20) 0.20: (10) 0.20 (25) 0.26 (30) 0.26 (13) 0.78 (4) 0.38 (30) 1.22 (13) 0.18 (26) 0.15: (21) 0.15: (26) 0.27 (18) 2.58 (-8) 0.89 (8) 0.28 (20) 3.19 (10) 0.25 (20) 0.38 (13) 0.50 (26) 0.38 (16) 0.24 (-2) 0.20: (32) 0.35 (4) 0.37 (4) 0.31 (21) 0.22 (4) 0.26 (8) 0.23 (21) 0.28 (13) 0.24 (22) 0.16: (20) 0.32 (15) 0.27 (18) 0.35 (-4) 0.25 (40) 0.16: (31) 0.32 (14) 0.16 (22) 0.17: (9) 0.29 (27) 0.30 (16) 0.84 (20) 0.27 (22) 0.29 (16) 0.40 (29) 0.19: (22) 1.45 (23) 1.94 (14) 12 291. (-27) 987. (-25) 165.0 (-23) 11.1 (-20) 31.9 (-21) 27.9 (-24) 0.95 (8) 0.43 (3) 0.14: (1) 0.38 (4) 0.40 (11) 0.34 (4) 0.22 (-4) 0.44 (7) 0.42 (5) 0.89 (11) 0.35 (0) 0.23 (0) 0.69 (-6) 1.77 (23) 1.59 (12) 1.63 (0) 0.47 (8) 0.38 (8) 0.50 (10) 0.45 (5) 0.45 (2) 0.96 (-2) 0.52 (3) 3.72 (-2) 0.54 (6) 0.52 (0) 0.58 (2) 0.17 (-9) 0.50 ( 0.69 ( 0.44 ( 0.63 (9) 2.20 (17) 0.37 (4) 0.16: (2) 0.39 (0) 9.36 (-26) 0.65 (5) 0.33 (9) 0.32 (-5) 0.45 (8) 0.20: (-2) 0.88 ( 0.52 (5) 0.32 (6) 1.48 (-13) 0.34 (-6) 0.20 (-6) 0.27 (-4) 0.50 (6) 0.14: (-2) 4.37 (8) 0.24 (-9) 0.70 (11) 2.69 (0) 0.43 (-1) 0.47 (1) 0.49 (3) 0.12: (0) 0.70 (14) 1.71 (7) 1.79 ( 1.05 (13) 1.56 (21) r TABLE 3 25 0) 2) 5) 6) 8) 211. (22) 53.7 (-23) 19.0 (6) 12.5 (9) 29.3 (9) 26.0 (-21) 25.6 (7) 23.4 (7) 11.78 (9) 12.0 (9) 12.8 (8) 12.8 (7) 5.40 (7) 3.57 (9) 2.60 (12) 3.01 (9) 2.97 (8) 2.27 (8) 2.57 (10) 2.26 (4) 2.59 (8) 4.85 (6) 3.74 (10) 2.28 (9) 5.02 (9) 6.45 (4) 1.80 (-18) 2.95 (8) 3.08 (8) 3.39 (7) 9.05 (9) 4.60 (-19) 4.06 (7) 3.29 (8) 3.96 (9) 4.45 (10) 4.00 (1) 5.79 (9) 2.19 (6) 3.79 (8) 2.63 (5) 2.22 (7) 4.63 (-20) 4.24 (8) 2.39 (6) 2.56 (10) 3.46 (5) 3.43 (8) 2.58 (7) 2.34 (9) 3.78 (3) 3.24 (11) 2.46 (9) 3.00 (8) 4.05 (9) 4.05 (8) 2.84 (10) 3.89 (9) 2.35 (10) 3.92 (8) 2.56 (12) 7.70 (10) 2.32 (1) 9.49 (7) 2.47 (9) 5.30 (11) 3.48 (9) 2.39 (11) 4.38 (8) 1.88 (-22) 60 25.8 ( 38.3 ( 83.1 ( 91.8 ( 27.7 ( 27.9 ( 12.9 ( 39.3 ( 29.1 ( 17.2 ( 27.2 ( 11.1 ( 12.6 ( 17.4 ( 16.4 ( 16.5 ( 32.7 ( 22.0 ( 19.1 ( 5.58 ( 5.25 ( 5.59 ( 2.29 ( 5.72 ( 7.62 ( 9.12 ( 5.04 ( 3.67 ( 4.75 ( 7.63 ( 2.78 ( 7.44 ( 2.79 ( 2.48 ( 4.12 ( 4.22 ( 4.15 ( 7.95 ( 3.99 ( 5.94 ( 2.55 ( 6.77 ( 6.61 ( 4.59 ( 8.63 ( 8.31 ( 6.93 ( 8.50 ( 7.72 ( 7.67 ( 6.69 ( 6.15 ( 6.59 ( 4.43 ( 9.02 ( 8.22 ( 1.24 ( 4.37 ( 8.16 ( 5.14 ( 4.82 ( 0.94 ( 6.06 ( 5.16 ( 2.75 ( 5.99 ( 7.18 ( 4.49 ( 7.99 ( 1 8.96 ( 10 -3) ■5) -7) -4) -7) -6) -2) -6) -2) -1) -4) -3) -3) -4) -6) -3) -5) 0) 3) 2) 3) 4) -3) -6) 2) -4) 4) 2) 3) -2) -3) 4) 0) 0) 1) 2) 2) 2) 0) 2) 2) 3) 3) 4) 3) 0) 2) 1) 2) 3) 3) 2) 0) 0) 1) 1) 1) 0) 1) 2) 1) 1) 0) 0) 1) 2) 0) 2) 1) 1) 1, 2,3,4,5,6,7 1, 2,3,4,11 1, 2,3,5,6,7 1, 2,3,4,7 1, 2,3,4,7 2, 3,4,10 3, 4,7,9 1, 2,3,4 1, 2,3,4 3, 12 1, 2 1, 2 1, 2,3 1, 2,3 1, 2,3 Notes 1, 2 1, 2 1, 2 1987ApJ. . .318. .1613 where itwasavailable;otherwise,weintegratedthemedian more than15%.WeuseddatafromtheSSSforthesesources, density. Applicationofthesecorrectionsraisesthefluxdensity includes thepercentagecorrectionmadetoIRASflux scan generatedbyAdd-Scantoobtaintheresult. The fluxeshavebeencolorcorrected and K-correctedassumingthespectralenergydistributioncanbeapproximated byablackbody(seeAppendix). show dramaticsegregationbyinfraredcolors.Thefluxden- of thefaintestsourceincludedinoursampleto2.3Jy. using themethoddescribedinAppendix.Table3also to thedatalistedinTable1.Thesecorrectionswerededuced As canbeseeninFigure1,galacticandextragalacticobjects Fig. 1.—Colordistributionofallselected sources.Galaxiesarerepresentedbytriangles,starsfilledsquares, andtheplanetarynebulabyunfilledsquare. Both colorcorrectionsandX-correctionshavebeenapplied © American Astronomical Society • Provided by the NASA Astrophysics Data System combined. combined; (11)FluxesderivedbyW.RicefromIRASAdd-Scandata;(12)Double,LIseparation,fluxes in Band4fromSSS;(9)Double,1!5separation,fluxescombined;(10)3' Band 4;(5)Fluxin1fromSSS;(6)2(7)3(8) 15566+2657 15465+2818 15373+2506 15361+2441 15327+2340 15327+2849 15193+3132 15018+2417 14547+2448 14390+3147 14356+3041 14280+3126 16423+2353 16403+2510 16211+3057 16081+2511 Notes.—(1) ExtendedinBand1;(2)2;(3)3;(4) Name Plan. Neb. Type pair S pair P pair star star star star star star Sb Sd Sc P S FLUX-LIMITED IRASGALAXIES165 156. (-15) 199. (-9) <0.11 (43) <0.15 (25) 33.5 (-13) 54.4 (-12) 23.9 (-7) 66.4 (-26) r 0.14: (31) 0.70 (23) 0.14: (17) 0.33 (21) 0.20: (31) 0.84 (20) 0.20: (27) 2.37 (13) 12 TABLE 3—Continued Tc (Feo/Fgs) 97.6 (-21) 22.5 (-26) 30.6 (10) 64.0 (-23) 14.2 (-23) 19.5 (-27) 11.0 (25) 11.5 (-26) r 0.95 (11) 0.71 (12) 0.25 (4) 0.38 (14) 0.57 (4) 0.57 (8) 0.37 (8) 1.61 (4) 25 F(12) >3F(25),F(25)2.5F(60),F(60)F(100).Forgalaxies, increasing wavelength.Thegalaxiesinthissamplehave length, whilethefluxdensitiesofgalaxiesincreasewith sities observedforthestarsdecreasewithincreasingwave- F(60) >2F(25)andF(100)F(60),whilethestarshave 111. (7) 32.1 (-10) 15.3 (-19) 11.9 (8) 4.24 (-23) 9.14 (-20) 3.26 (2) 3.31 (-19) 2.38 (3) 3.19 (-22) 2.66 (9) 3.05 (6) 7.04 (11) 2.52 (4) 2.91 (8) 2.16 (-23) 60 126. (-3) 25.1 (1) 16.7 (2) 16.0 (-6) 3.39 (-2) 5.74 (2) 7.10 (-7) 4.16 (-6) 3.16 (-4) 3.46 (-3) 4.90 (-6) 3.43 (-3) 2.40 (-4) 5.29 (0) 1.69 (-6) 1.43 (-5) ‘TOO ( = 2.0±0.7, Notes 9.0 ±5.4 1987ApJ. . .318. .1613 XI247+2547 08323+3003 08327+2855 08322+2838 08111+2401 08082+2521 08354+2555 08001+2331 09534+2727 09399+3204 09273+2945 09120+2956 09028+2538 12093+2423 12031+3120 12021+3126 12015+3210 11598+3008 11561+2743 11561+2535 11555+2809 10078+2439 12159+3005 12099+2926 11547+2528 11474+2645 11102+3026 11004+2814 10407+2511 12239+3129 12200+3010 12173+2953 12341+2442 12334+2814 12289+2924 11085+2859 11069+2711 10576+2914 10565+2448 10369+2659 10282+2903 10245+2845 12428+2724 12422+2641 12415+3226 12338+2615 10460+2619 13408+3035 13387+2331 13376+2839 14008+2816 13538+3019 13532+2517 13126+2452 13086+2950 12590+2934 12522+2912 12437+3059 14221+2450 14165+2510 14158+2741 14151+2705 14026+3058 15373+2506 15327+2340 15327+2849 15018+2417 14356+3041 14280+3126 16403+2510 15566+2657 14547+2448 Name © American Astronomical Society • Provided by the NASA Astrophysics Data System -0.24 (.05) -0.05 (.07) -1.15 (.02) -0.35 (.07) -0.77 (.05) -1.30 (.07) -0.93 (.09) -0.67 (.09) -0.95 (.06) -0.17 (.04) -1.86 (.09) -0.11 (.07) -1.05 (.06) -0.69 (.03) -0.79 (.06) -0.89 (.09) -1.36 (.14) -1.78 (.07) -2.68 (.05) -1.37 (.07) -1.18 (.05) -1.08 (.05) -0.49 (.06) -0.41 (.05) -0.57 (.04) -0.43 (.05) -0.80 (.05) -2.08 (.03) -0.93 (.07) -3.45 (.15) -1.46 (.06) -0.02 (.02) -2.09 (.06) -1.22 (.06) -1.60 (.04) -0.46 (.06) -0.39 (.04) -1.31 (.15) -0.30 (.13) -0.41 (.08) -1.49 (.04) -0.38 (.06) -0.73 (.05) -0.56 (.08) -0.29 (.12) -0.50 (.08) -1.11 (.10) -0.59 (.06) -2.14 (.14) -1.63 (.27) -0.52 (.09) -1.46 (.14) -0.85 (.05) -1.44 (.05) -1.44 (.07) -0.99 (.17) -1.23 (.14) 0.05 (.04) 0.25 (.01) 0.01 (.16) 0.04 (.06) 0.14 (.04) 0.12 (.10) -1.5 (.1) -1.6 (.7) -1.5 (.03) 0.4 (.1) Ha -0.81 (.01) -0.12 (.05) -0.26 (.05) -0.14 (.07) -0.16 (.13) -0.66 (.08) -0.09 (.09) -0.35 (.05) -0.15 (.06) -0.05 (.04) -0.01 (.11) -0.06 (.05) -0.25 (.07) -0.37 (.03) -0.38 (.03) -1.13 (.04) -0.17 (.03) -0.39 (.02) -0.02 (.02) -0.23 (.03) -0.23 (.03) -0.02 (.08) -0.21 (.12) -0.01 (.11) -0.46 (.06) -0.03 (.03) -0.76 (.02) -0.20 (.09) -1.73 (.13) -0.72 (.06) -0.16 (.04) -0.43 (.04) -0.19 (.11) -0.04 (.07) -0.14 (.07) -0.11 (.06) -0.04 (.07) -0.02 (.08) -0.23 (.05) -0.07 (.11) -0.41 (.04) -0.19 (.07) -0.55 (.11) -0.68 (.13) -0.16 (.05) 0.00 (.05) 0.16 (.03) 0.02 (.05) 0.13 (.09) 0.03 (.06) 0.13 (.03) 0.02 (.07) 0.12 (.05) 0.43 (.14) 0.05 (.05) 0.01 (.04) 0.10 (.03) 0.13 (.06) 0.01 (.05) 0.23 (.04) 0.09 (.05) 0.38 (.11) 0.25 (.11) 0.11 (.05) -0.2 (.1) -0.5 (.1) -0.4 (.1) Spectroscopic ResultsandDerivedLuminosities Equivalent Widths(magnitudes) Hß X5007X6584 -0.04 (.07) -0.07 (.08) -1.97 (.01) -0.04 (.03) -1.25 (.05) -0.16 (.05) -0.23 (.12) -0.57 (.08) -0.15 (.08) -0.10 (.05) -0.16 (.06) -0.25 (.04) -0.14 (.04) -1.92 (.04) -0.25 (.03) -0.02 (.05) -0.07 (.07) -0.33 (.12) -0.03 (.06) -0.15 (.04) -0.17 (.05) -0.14 (.09) -0.21 (.02) -0.58 (.07) -0.29 (.03) -0.16 (.04) -0.07 (.03) -0.01 (.04) -0.08 (.04) -0.08 (.04) -0.02 (.07) -0.49 (.06) -1.08 (.06) -0.06 (.04) -1.40 (.02) -0.15 (.09) -2.99 (.13) -0.29 (.14) -0.08 (.05) -0.01 (.12) -0.12 (.09) -0.04 (.04) -0.07 (.08) -0.06 (.05) -0.05 (.12) -1.44 (.13) -0.29 (.09) -0.03 (.06) -1.02 (.11) -0.12 (.10) -0.49 (.04) -0.13 (.06) -0.20 (.05) 0.05 (.10) 0.08 (.05) 0.02 (.09) 0.07 (.05) 0.03 (.05) 0.00 (.14) 0.16 (.09) 0.03 (.03) 0.03 (.05) 0.12 (.10) 0.09 (.09) 0.06 (.05) 0.09 (.07) -0.2 (.1) TABLE 4 -0.05 (.07) -0.35 (.07) -0.65 (.05) -0.58 (.08) -0.35 (.09) -1.20 (.02) -0.11 (.05) -0.15 (.04) -0.75 (.09) -0.40 (.07) -1.06 (.03) -0.33 (.03) -0.48 (.04) -0.19 (.22) -0.48 (.06) -0.35 (.05) -0.63 (.07) -1.12 (.08) -1.02 (.06) -0.87 (.08) -0.02 (.02) -0.67 (.06) -0.71 (.05) -0.39 (.06) -0.89 (.04) -0.36 (.05) -0.28 (.05) -0.70 (.06) -1.43 (.06) -0.76 (.06) -0.20 (.08) -0.35 (.05) -0.10 (.09) -1.20 (.04) -0.50 (.03) -0.69 (.07) -0.37 (.27) -1.43 (.14) -0.67 (.10) -0.16 (.07) -0.22 (.06) -0.79 (.16) -0.24 (.14) -0.42 (.08) -0.44 (.07) -0.73 (.05) -0.34 (.12) -0.38 (.08) -1.07 (.14) -0.78 (.17) -0.92 (.14) -0.35 (.05) -0.62 (.28) -0.57 (.09) -0.54 (.15) -0.98 (.05) 0.05 (.16) 0.05 (.08) 0.00 (.08) 0.02 (.04) 0.66 (.08) -0.36 (.4) 0.07 (.04) -LI (.1) -0.4 (.1) -0.5 (.1) -LI (.2) -0.15 (.09) -0.21 (.05) -0.16 (.02) -0.07 (.05) -0.10 (.05) -0.22 (.08) -0.08 (.03) -0.02 (.03) -0.01 (.02) -0.02 (.04) -0.12 (.05) -0.02 (.04) -0.14 (.07) -0.21 (.10) -0.24 (.05) -0.17 (.07) -0.16 (.06) -0.01 (.05) -0.14 (.04) -0.08 (.04) -0.05 (.06) -0.02 (.04) -0.11 (.04) -0.14 (.05) -0.14 (.04) -0.01 (.04) -0.11 (.03) -0.06 (.07) -0.00 (.04) -0.20 (.08) -0.26 (.04) -0.06 (.04) -0.06 (.06) -0.49 (.06) -0.05 (.07) -0.05 (.05) -0.05 (.08) -0.10 (.07) -0.33 (.16) -0.13 (.26) -0.02 (.14) -0.00 (.08) -0.04 (.04) -0.24 (.14) -0.04 (.04) -0.04 (.08) -0.04 (.06) 0.03 (.09) 0.06 (.11) 0.06 (.11) 0.03 (.06) 0.06 (.05) 0.02 (.08) 0.01 (.07) 0.03 (.05) 0.04 (.07) 0.32 (.19) 0.01 (.04) 0.04 (.09) 0.03 (.05) 0.02 (.07) 0.01 (.06) 0.12 (.10) -0.1 (-1) -2.0 (.06) -0.4 (.2) -0.2 (.1) X¿>300 12.8 15.1 13.7 14.2 14.0 12.2 14.4 13.5 14.7 14.4 13.0 16.0 11.1 13.5 14.2 14.7 15.6 14.0 14.7 17.0 11.1 16.0 15.7 14.3 13.8 12.7 14.4 15.3 18.0 12.9 15.3 15.3 15.0 15.5 10.6 14.1 11.2 11.6 11.5 11.8 15.1 14.1 12.0 14.6 12.4 13.6 15.0 13.4 14.5 16.0 15.5 14.9 10.6 14.4 13.2 16.5 14.6 13.4 15.3 11.2 15.4 14.9 15.1 14.5 15.1 14.0 14.8 14.8 15.3 15.0 12.9 10.0 B 21080 40 20902 20685 12926 17885 10987 10408 10166 10407 4034 4543 4104 2568 4468 4647 4560 4572 3876 6910 7517 3174 3432 5844 5508 3402 8788 7687 6365 2670 7621 2126 32 6052 27 4265 5278 7578 9274 4544 8556 34 6313 6869 5563 2021 3582 5087 4848 6920 6783 8856 7044 3878 2453 6517 1737 1530 7252 1004 1429 1370 1236 1678 8186 1353 1227 1051 1213 776 679 582 720 920 816 649 27 32 36 32 28 38 53 34 30 32 31 31 29 27 29 37 31 10 19 --^B. 10.1 10.0 10.2 10.0 10.0 10.0 10.1 10.2 10.3 log 9.5 9.7 9.6 9.1 9.2 9.6 9.5 9.4 9.7 9.7 9.4 9.4 9.3 9.9 9.8 9.4 9.7 9.4 9.2 9.2 9.4 9.8 9.6 9.8 9.5 9.5 9.4 9.0 9.4 9.6 9.4 9.5 9.7 8.5 9.3 9.7 9.6 9.6 9.6 9.6 9.7 9.6 9.1 9.4 9.7 8.7 9.5 9.4 9.7 9.2 9.5 9.6 9.6 8.8 9.4 9.9 9.6 9.3 9.6 9.7 9.4 9.7 9.3 10.1 10.1 10.4 10.2 10.4 11.2 11.4 10.2 10.6 10.2 10.3 10.0 11.0 10.2 11.1 10.1 10.0 t6û 10.4 10.0 10.4 10.5 10.6 10.6 10.6 10.2 10.0 10.1 11.2 10.7 10.4 10.1 10.6 10.2 10.1 10.2 11.0 10.5 10.3 10.2 11.7 11.2 10.3 log 9.4 9.6 9.9 8.6 9.7 9.9 9.8 9.8 9.3 9.9 9.5 9.3 9.6 8.9 9.6 9.0 9.2 8.9 8.9 8.8 8.9 8.9 9.6 9.8 9.1 9.0 8.9 9.3 8.8 9.9 \—IC/}
FLUX-LIMITED IRAS GALAXIES 167 ; where the quoted uncertainties are the rms dispersion about the energy in the band ^ the average. For the stars in our sample, 2 L = 4nr Fv Av ,
where Fv is the corrected IRAS flux density and Av is the Î (if) =0.17 ±0.03 bandwidth ( = 3.75 x 1012 Hz; Neugebauer et al. 1984). We calculate r by assuming Ho = 100 km s-1 Mpc-1 and correct- = 0.56 ± 0.10 . ing for 300 km s-1 galactic rotation and deviation from the Feo/ Hubble flow due to infall toward the Virgo Cluster of 300 km One planetary nebula is included in this sample; it has an s-1 as in Huchra and Geller (1982). Under these assumptions, intermediate spectrum, with F(60) > F(25), but F(100) < F(60). the most luminous galaxy in the sample, Arp 220, could be detected above the flux limit of 2 Jy at redshifts up to 0.15. IV. OPTICAL OBSERVATIONS V. THE INFRARED LUMINOSITY FUNCTION AT 60 fim Spectra with a resolution of 6-7 Â covering 4600-7200 Â The distribution of luminosities and the luminosity function were obtained at the F. L. Whipple 1.5 m telescope and at the 47rJ_ J_ MMT using a photon-counting Reticon system (Latham 1982). Q>(Li) = y The slit sizes used are 3'.'2 x 6"4 at the 1.5 m and 1"0 x 3'.'0 at Q AL,. t Vj the MMT. Several galaxies were observed in the confused are shown in Figure 3 and tabulated in Table 5. Here Q/4n is cases; all our pairs appear to be physically associated, i.e., at the fraction of the sky covered by this survey, AL¿ is the bin the same redshift. Table 4 lists the galaxies in our sample with width, and Vj is the volume of the universe out to which a the equivalent widths of the Ha, Hß, [O m] 25007, [O i] galaxy of luminosity L is observed at our flux limit. Across the 26300, and [N n] 26585 lines. Columns (7), (8), and (9) give the top of Figure 3 we indicate the distance to which a galaxy of apparent blue magnitude, the heliocentric recessional velocity, the corresponding luminosity can be detected at the imposed and the uncertainty in the velocity. For galaxies brighter than mB = 15.7, the magnitudes were taken from the Zwicky Catalog (Zwicky et al. 1961); these are accurate to 0.3 mag TABLE 5 (Huchra 1976). For the six galaxies not in Zwicky’s list, eye 60 fim Luminosity Function estimates were made by one of us (J. P. H); these were checked 3 by determining the correlation between size and apparent log (L/Lq) {L) (Mpc mag ^ N magnitude for the brighter galaxies, and, assuming the same 8.4 4.7 x 10~3 1 2 “surface brightness” for the fainter galaxies, using their 8.8 1.2 x 10“3 8 angular sizes to estimate their brightness. This process showed 9.2 4.9 x 10" 8 9.6 9.5 x 10“4 7 that the eye estimates were typically accurate to 0.5 mag. 10.0 6.9 x 10'4 20 The redshift distribution of our sample is shown in Figure 2. 10.4 1.7 x 10"4 15 The maximum redshift of 0.07 corresponds to a distance of 210 5 10.8 2.5 x 10~6 7 (100/H0) Mpc. The last two columns in Table 4 list the blue 11.2 3.0 x 10"7 4 and infrared luminosities. We define the 60 /mi luminosity as 11.6 4.9 x 10" 2
Fig. 2.—The redshift distribution of galaxies in the sample
© American Astronomical Society • Provided by the NASA Astrophysics Data System 1987ApJ. . .318. .1613 10 -1 2 2 107-23 81 1/2 10 1/2 was studiedbyRiekeandLebofsky (1986);theyalsofound larger sampleofgalaxiescomprisingseveraldifferent flux for L>10L©.Lawrenceetal.(1986)analyzedasomewhat brighter than5Jyat60¡amandalsoderivedaslopeof—2.0 mag. Theslopeisconfinedtoarangeof—1.5—2.2with described byalawoftheform >(L)~Lathighlumin- luminosity functionhasaslopeof—2.5atthehighestlumin- limits. Usingtheirtotalsample,theydeducedthattheinfrared tions oftheluminosityfunctioninfrared-brightgalaxies. osities. that thedistributionoftotal infraredluminositycouldbe tion consistentwithours.Alarge, butlesswell-definedsample axies withF(60)>0.5Jyand alsoderivedaluminosityfunc- Vader andSimon(1986)studiedacompletesampleof68 gal- above 0.85Jy,wefindgoodagreementwithourresults(Fig. 3). 68% confidence,andthereducedxis0.60. osities. However,forthesubsetoftheirdatawhichiscomplete Soifer etal(1986)studiedacompletesampleof217galaxies law. ThesolidlineshowninFigure3isabest-fitpowerlawto luminosities thedensityislessthanexpectedforasinglepower Neither yieldedagoodfit;athighluminositiesthedensitylies our dataabove10Lof>(L)=1.4x(L/L)Mpc above thatexpectedforaSchechterfunction,andatlow 4 x10LforNGC4062to5Arp220. for Virgocentricmotion.Thederivedluminositiesrangefrom tried bothaSchechter(1976)functionandsinglepowerlaw. flow whicharenotcompletelyeliminatedbyourcorrections to N;wehaveignorederrorsintheluminositiesdue calculated assumingPoissondistributionerrors,proportional limit of2Jy.Uncertaintiesintheluminosityfunctionwere L >10.ThetopmargingivesthedistancetowhichagalaxyofcorrespondingluminositycouldbedetectedatF(60)2Jy. Lawrence etal.(1986).TheerrorbarsareproportionaltoN.histogramisthenumbercountineachbin(rightaxis).lineshowsabest-fit powerlawfor uncertainties intheinfraredfluxesanddeviationsfromHubble IRlR 0o 0 168 0 These resultsareinsubstantialagreementwithotherderiva- To describethesedatainausefulanalyticalform,wehave Fig. 3.—The60fimluminosityfunction.Thefilledtrianglesarefromthissurvey;theopencirclescompletesample[F(60)>0.85 Jy]studiedby © American Astronomical Society • Provided by the NASA Astrophysics Data System 8 9101112 10 2550100250500 DISTANCE (MPC) SMITH ETAL. LOG L/L 0 ing ofwarmcloudsnearthenucleus andcoolercloudsassoci- if dustingalaxiesisconcentrated intwocomponents,consist- ated withthedisk,observed color-luminositycorrelation ably compactinfraredsources (Becklin1986;Low1986).Thus interpretation ofthisphenomenon issuggestedbytheobserva- luminosity hasbeenreportedpreviously,instudiesofother with 60¿unluminosity. ¿un to60fluxratioappearsbecompletelyuncorrelated tion thatanumberofthemost luminousgalaxiesareremark- samples ofgalaxies(Miley,Neugebauer,andSoifer1985). An to 60¿anfluxratioand¿unluminosity.Incontrast,the 25 and amarginallysignificantanticorrelationbetweenthe12 /on between the60/onto100fluxratioandluminosity, Thus thereappearstobeamarginallysignificantcorrelation linear fits(ignoringupperlimits)tothesedataare pares theinfraredcolorswith60¿anluminosity.Thebest searched forluminosity-dependentparameters.Figure4com- nism changesasafunctionofluminositywithinoursample,we log =0.10+0.02L-1.3±0.2,r0.5. 60 A correlationbetween60¿unto100fluxratioand To testwhetherthepredominantinfraredemissionmecha- log ^=0.00+0.04L-0.9±0.4,r-0.01 log =-0.20+0.04L0.8±0.4,r-0.5 60 60 F loo *60 F 60 VI. INTRINSICPROPERTIESOFTHESAMPLE a) InfraredColors 0 5 20 15 O jd p e X QJ y) 1987ApJ. . .318. .1613 8.5 99.510 10.51111.512 © American Astronomical Society • Provided by the NASA Astrophysics Data System LOG Leo ing upperlimits.TheSeyfertgalaxies areindicatedby solid linesgivethebestlinearfitsto the data,exclud- asterisks. Fig. 4.—Infraredcolorsvs.60/imluminosity. The \—IC/}
170 SMITH ET AL. Vol. 318
; may be attributed to an increase in the luminosity of the gives a 99% probability that the IRAS galaxies are not drawn ^ nuclear component. from the same parent population as the CfA spiral galaxies. § The anticorrelation of F(12)/F(60) and 60 ¿mi luminosity However, a Mann-Whitney test shows that there is only a 1 <7 £ may be due to systematic variations in spectral features within difference in the medians. Thus, we conclude that the distribu- ^ the 12 /mi band as a function of luminosity. Spectra of the tions are different in that the IRAS sample excludes galaxies of highest luminosity galaxy in our sample, Arp 220, show that its low and very high blue luminosity, and as a result, has a nar- 12 fim continuum is depressed by strong (t[10 /mi] ~ 2) sili- rower range in blue luminosity. Because of this, the infrared cate absorption (Rieke et al 1985). The observed correlation excess L(60)/L(B) is closely correlated (correlation might result from less obscuration in the less infrared-luminous coefficient = 0.89) with absolute infrared luminosity (Fig. 6). galaxies. Alternatively the correlation might be produced by an The solid line shows the position of a galaxy of MB = —19.2; increasing role of dust emission features within the 12 /mi the dashed lines indicate the dispersion in MB. bandpass in galaxies of lower infrared luminosity. We point out that there is a single galaxy, PSC 13126 + 2452, with an c) Spectral Properties anomalously low 12 /mi flux density; its colors at longer wave- lengths are normal for its luminosity and its optical spectrum is For a rough estimate of nuclear activity in these galaxies, we use a method similar to that outlined by Baldwin, Phillips, and typical of the galaxies in this sample. Terlevich (1981) to classify the emission-line spectra of extra- galactic objects. Galaxies are segregated by type in the [O m]/ Hß vs. [N n]/Ha plane; Seyfert galaxies fall in the range b) Distribution of Blue Luminosities log ([O m]/H/?) > 0.2, log ([N n]/Ha) > -0.3. Galaxies with Figure 5 shows the absolute magnitude distribution of our log ([N n]/Ha) < —0.3 are generally classified as H n region IR-selected sample, the Center for Astrophysics (CfA) blue- galaxies. An advantage to using these ratios is that they are selected sample from Huchra et al (1983), and the CfA spirals. relatively insensitive to reddening; a disadvantage is that a This figure clearly shows that the galaxies in our sample have a galaxy’s position on this plot is a function of its metallicity. narrower range of absolute blue magnitude than those of an We classify NGC 4922B and UGC 7064A as Seyfert 2 gal- optically selected sample. The mean for this sample is —19.2 axies. NGC 4253 is classified as Seyfert 1 as log ([O m]/ with a standard deviation of only 0.8. We find that IRAS Ha) >0.3 and broad permitted lines are observed. Nine undersamples galaxies of low absolute blue luminosity. There galaxies are classified as H n region galaxies (see Figs. 7, 8, and also appears to be a deficiency of galaxies of high blue lumin- 9). This method of classifying galaxy spectra has many uncer- osity. A Kolmogorov-Smirnov test gives a 95% probability tainties (see Baldwin, Phillips, and Terlevich 1981), but it does that the two samples are not derived from the same parent give an estimate of the percentage of active galaxies in an population. IR-selected sample. We find 4%, which is not significantly dif- We also see a difference in the blue magnitude distributions ferent from the 2.3% found by Huchra and Burg (1986) for a oï IRAS galaxies and CfA spirals. A Kolmogorov-Smirnov test blue-selected sample, given the small size of our sample and the
CD
<; o in
Cc! w PQ D
Fig. 5.—The distribution of absolute blue magnitudes of the IRAS sample (solid histogram), the CfA sample (dotted histogram), and the CfA spirals (dashed histogram).
© American Astronomical Society • Provided by the NASA Astrophysics Data System C/} 910 No. 1,1987FLUX-LIMITEDIRÁSGALAXIES171 F(60) ratiosareallhigherthanothergalaxiesofthesame60 (Fig. 10).Thusunobscurednuclearactivityisprobablynota in thesamerangeasnon-Seyfertgalaxiesoursample widths, [Om]/H/?(Baldwin,Phillips,andTerlevich1981),lies active galaxiesinoursamplearedistinctivethattheirF(25)/ sample. strong contributortothe60/unfluxingalaxiesour Their nuclearactivity,asmeasuredbytheratioofequivalent luminosities; theyrangefrom8x10Lto4- large overabundanceofactivegalacticnuclei(AGNs)inthis IR-bright sample. uncertainties intheclassificationscheme.Thusthereisnota COUNTS PER PIXEL 0 We notethattheinfraredspectralenergydistributionsof The Seyfertgalaxiesdonothaveextraordinarilyhigh60fim Fig. 6.—InfraredexcessL(60)/Lvs.60pimluminosity.ThesolidlineshowsthepositionofagalaxyM==—19.2;dashedlinesindicate dispersionin B © American Astronomical Society • Provided by the NASA Astrophysics Data System luminosities ofthesubsampleforwhichmorphologicaltypes are available.Notethatfewgalaxiesinoursamplehavetypes luminosity mightnotbeapparentwithinthelimitedrangeof luminous observed,andacorrelationbetweenshape which lackmorphologicalclassificationsareamongthemost correlation isapparent.However,thegalaxiesinoursample Types areplottedinFigure11asafunctionofluminosity.No fim luminosities(seeFig.4).Therelativelyhigh25/¿mfluxesof active galaxieshasbeennotedbyMiley,Neugebauer,and POSS platesforabout85%ofthegalaxiesinoursample. Soifer (1985). Morphological classificationscouldbeestimatedfromthe Fig. 8.—SpectrumofMK727,classified asanHnregiongalaxy d) Morphology \—IC/} o¿ 172 SMITH ET AL. Vol. 318 interacting groups. If emission from dust heated by recent star formation is a major contributor to the far-infrared flux, these results are consistent with the suggestion by Larson and Tinsley (1978) that interactions between galaxies can trigger star-formation bursts. e) Space Distribution Comparing the space distribution of our sample with that of an optically selected sample, we find that the IRAS galaxies trace the cellular pattern of galaxies observed by de Lapperent, Geller, and Huchra (1986); however, a density enhancement in the core of Coma the size of the optical density enhancement is not observed. Defining the boundaries of Coma by 12h30m < a < 13h30m, 26?5 < <5 < 32?5, 5000 km s_1 10 L0 are found in multiple systems, and we find that 18% ± 5% of all of the An analysis of the colors and morphology of the galaxies in 11 our sample suggests that galaxies exceeding L(60) = 10 L0 galaxies in our sample are classified as peculiar or are in pairs 9 (see Table 3). This value is significantly higher than the fraction differ significantly from those having L(60) < 10 L0- The (6.4% ± 0.1%) of peculiar or paired galaxies found in an opti- eight high-luminosity galaxies have cally selected sample (Arp and Madore 1977). Lonsdale, F(12)/F(60) < 0.047 , Persson, Matthews (1984) found that an even larger fraction (37%) of the bright galaxies in the IRAS mini-survey were in 0.42 < F(60)/F(100) < 0.92 ,
© American Astronomical Society • Provided by the NASA Astrophysics Data System 1987ApJ. . .318. .1613 tion ofinfrared-brightgalaxies, wefindthat(1)asimplepower Huchra etal.(1983). may beduetodifferencesintheproximityofdust the regions stillassociatedwithmolecular clouds. have ahigherfractionoftheir massconcentratedinHn seems plausible,forexample,thatgalaxiesofhighbluelumin- heating sourcesingalaxiesofdifferentblueluminosity. It highest amongthemostluminousinfraredgalaxies(Young et luminous infraredgalaxies.Thissuggestionisconsistent with osity mayhaveundergonearecentburstofstarformation, and al 1986). the hypothesisthatefficiencyofmassivestarformation is function mayreflectahigherlight-to-massratiointhemost constant light-to-massratioforgalaxies.Theexcessdensity of while theninelow-luminositygalaxieshave luminous infraredgalaxiesabovethatexpectedforaSchechter of primordialfluctuationsintheearlyuniverseandassumesa Schechter 1974)byanargumentinvolvingthemassspectrum luminosity extreme. A i-testshowsthatthesedistributionsdifferfromoneanother tion inthatnoexponentialcutoffisobservedatitshigh- luminosities, anddoesnotappeartofollowaSchechterfunc- other, associatedwithinteractingsystems,dominatesathigh galaxies areisolated.Thesefactssuggestthatthederivedinfra- Schechter functionanddominateatlowluminosities.The one, associatedwithnormalspirals,mayapproximatea red luminosityfunctionisasuperpositionoftwodistributions; galaxies areinmultiplesystems,whileallofthelow-luminosity No. 1,1987 at the98%confidencelevel.Atleasthalfofhigh-luminosity Fig. 11.—Morphologicaltypevs.60pimluminosity.ThescaleusedisthatdefinedbydeVaucouleursetal.(1976),andthetypesweretakenfrom thispaperand The lackofgalaxieslowblueluminosityinoursample The Schechterluminosityfunctionwasderived(Pressand In agreementwithpreviousstudies oftheluminosityfunc- © American Astronomical Society • Provided by the NASA Astrophysics Data System 0.23