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Mon.Not.R.Astron.Soc.000,000–000 (0000) Printed5February2008 (MNLATEXstylefilev2.2) Oxygen abundances in the most oxygen-rich spiral galaxies Leonid S. Pilyugin1, Trinh X. Thuan2 and Jos´e M. V´ılchez3 1Main Astronomical Observatory of National Academy of Sciencesof Ukraine, 27 Zabolotnogo str., 03680 Kiev,Ukraine 2Astronomy Department, University of Virginia, P.O.Box 3818, UniversityStation, Charlottesville, VA 22903 3Instituto de Astrof´ısica de Andaluc´ıa, CSIC, Apdo, 3004, 18080 Granada, Spain 6 Received2005November28;inoriginalform2005July26 0 0 2 ABSTRACT n Oxygen abundances in the spiral galaxies expected to be richest in oxygen are esti- a mated. The new abundance determinations are based on the recently discovered ff J – relation between auroral and nebular oxygen line fluxes in high-metallicity Hii re- 6 gions. We find that the maximum gas-phase oxygen abundance in the central regions of spiralgalaxiesis 12+log(O/H)∼ 8.75.This value is significantly lower(by a factor 1 >∼ 5) than the previouslyaccepted value. The centraloxygenabundance in the Milky v Way is similar to that in other large spirals. 2 2 Key words: galaxies: abundances – ISM: abundances – Hii regions 1 1 0 6 0 1 INTRODUCTION genabundancesforasampleofspiralgalaxieswhichincludes / NGC 3184, NGC 3351, NGC 5194, and NGC 6744. They h p The oxygen abundance in spiral galaxies has been the sub- found generally lower oxygen abundances with (O/H)C ∼ - jectofmuchdiscussion foralongtime.Whichspiralgalaxy 9.0. o istheoxygen-richestone?Andhowhighistheoxygenabun- Here we consider anew the problem of the maximum r t danceintheoxygen-richestgalaxies?Duetothepresenceof oxygenabundanceinspiralgalaxiesbyattemptingtoderive s radialabundancegradientsinthedisksofspiralgalaxies,the moreaccurateoxygenabundances.Thesecanbederivedvia a : maximumoxygenabundanceoccursattheircenters.Theno- theclassicalTe–method,Tebeingtheelectrontemperature v tation (O/H)C = 12+log(O/H)R=0 will be used thereafter oftheHiiregion.Measurementsoftheaurorallines,suchas Xi to denotethe central oxygen abundance. [OIII]λ4363, are necessary to determine Te. Unfortunately, r The chemical composition of various samples of spi- they are very faint and often drop below the detectability a ral galaxies has been discussed in a number of pa- levelinthespectraofhigh-metallicityHiiregions. Pilyugin pers (e.g. Vila-Costas & Edmunds 1992; Zaritsky et al. (2005) hasadvocated that thefaint auroral linefluxcan be 1994; Garnett et al. 1997; van Zee et al. 1998; Garnett computedfromthefluxesinthestrongnebularlinesviathe 2002). According to those articles, the oxygen-richest ff – relation. Then, using the obtained flux in the auroral galaxies are: NGC 5194 (M 51) with (O/H) = 9.54 line, accurate oxygen abundances can be derived using the C (Vila-Costas & Edmunds 1992), NGC 3351 with (O/H)C classicalTe–method.Wewillestimate(O/H)Cinthespiral = 9.41 (Zaritsky et al. 1994), NGC 3184 with (O/H) galaxies reported tobetheoxygen-richest ones,NGC3184, C = 9.50 (van Zee et al. 1998), NGC 6744 with (O/H) = NGC3351, NGC 5194, and NGC6744. Forcomparison, we C 9.64 (Garnett et al. 1997). Different versions of the one- will also consider NGC2903, NGC2997, NGC5236 aswell dimensionalempiricalmethod,proposedfirstbyPagel et al. theMilky Way Galaxy. (1979) a quarter of a century ago, have been used for oxy- We describe the method used to determine oxygen gen abundance determinations in those papers. Pilyugin abundances in Hii regions in Section 2. The oxygen (2000, 2001a,b, 2003) has shown that the oxygen abun- abundances in the spiral galaxies NGC 3184, NGC 3351, dances in galaxies determined with the one-dimensional NGC 5194, NGC 6744, NGC 2903, NGC 2997, NGC 5236 empirical calibrations are significantly overestimated at andtheMilkyWayGalaxyaredeterminedinSection3.We the high-metallicity end ( 12 + log O/H > 8.25). This discuss the reliability of the derived abundances and sum- for two reasons. First, the then-existing calibrating points marize our conclusions in Section 4. at the high-metallicity end were very few and not reli- For the line fluxes, we will be using the following no- able. Second, the physical conditions in Hii regions cannot tations throughout the paper: R = I /I , 2 [OII]λ3727+λ3729 Hβ be taken into account accurately in one-dimensional cal- R = I /I , R = I /I , R = 3 [OIII]λ4959+λ5007 Hβ [OIII]λ4363 Hβ 23 ibrations. Pilyugin et al. (2004) have used instead a two- R + R . With these definitions, the excitation parameter 2 3 dimensional parametric empirical calibration to derive oxy- P can then be expressed as: P = R /(R +R ). 3 2 3 (cid:13)c 0000RAS 2 L.S. Pilyugin, T.X. Thuan and J.M. V´ılchez 2 ABUNDANCE DERIVATION Eq.(10)willbehereinafterreferredtoastheflux–fluxorff –relation. Itwasfoundthatthisrelationship ismetallicity- 2.1 Adopted equations for the T method e dependentat low metallicities, butbecomes independentof A two-zone model for thetemperature structurewithin the metallicity (within the uncertainties of the available data) Hii region was adopted. Izotov et al. (2005) have recently at metallicities higher than 12+logO/H ∼ 8.25, i.e. there is published a set of equations for the determination of the one-to-onecorrespondencebetweentheauroralandnebular oxygen abundance in Hii regions for a five-level atom. Ac- oxygenlinefluxesinspectraofhigh-metallicityHiiregions. cordingtothoseauthors,theelectrontemperaturet within Pilyugin (2005) derived 3 the [Oiii] zone, in units of 104K, is given by the following logR=−4.264+3.087 logR . (11) equation 23 1.432 Wecannowmakeuseoftheff–relationtodefinea“discrep- t = (1) 3 log(R /R)−logC ancy index”, equal to the difference between the logarithm 3 T oftheobservedfluxRobs inthe[Oiii]λ4363lineandthatof where thefluxRcalofthatlinederivedfromthestrong[Oii]λ3727, C =(8.44−1.09t +0.5t2−0.08t3)v (2) [Oiii]λλ4959,5007 lines using theff - relation: T 3 3 3 v= 1+0.0004x3 (3) Dff =logRobs−logRcal. (12) 1+0.044x 3 SinceR =R /P,theff–relationcanbealsoexpressed 23 3 and intheformR=f(R ,P).Wewillconsideranexpressionofthe 3 x =10−4n t−1/2. (4) type 3 e 3 As for the ionic oxygen abundances, they are derived logR=a1+a2 logP +a3 logR3+a4(logP)2. (13) from the following equations UsingasampleofHiiregionswithrecenthigh-precision 12+log(O++/H+)=log(I /I )+ measurements of oxygen lines fluxes, the values of the co- [OIII]λ4959+λ5007 Hβ efficients in Eq.(13) can be derived. Such a sample has 1.251 6.200+ t −0.55logt3−0.014t3, (5) been compiled by Pilyugin (2005). Bresolin et al. (2004) 3 have recently detected the auroral lines [Siii]λ6312 and/or 12+log(O+/H+)=log(I /I )+ [Nii]λ5755anddeterminedTe-basedabundancesin10faint [OII]λ3727+λ3729 Hβ Hii regions in the spiral galaxy M 51. Unfortunately they 1.676 5.961+ −0.40logt −0.034t + wereunabletodetecttheoxygenauroralline.Usingtheelec- t 2 2 2 tron temperaturet recommended byBresolin et al. (2004) 3 log(1+1.35x2). (6) and the equations given above for the Te-method, we have x =10−4n t−1/2. (7) estimated the value of R which corresponds to the t3 for 2 e 2 everyHiiregion.Ithasbeenfound(Pilyugin2005)thatthe Herene is theelectron density in cm−3. oxygenlinefluxesinsixfaintHiiregionsinthespiralgalaxy Thetotaloxygenabundancesarethenderivedfromthe M 51 (CCM 54, CCM 55, CCM 57, CCM 57A, CCM 71A, following equation and CCM 84A) satisfy the ff – relation. These data are in- cludedinthepresentsampletoenlargetherangesinPand O O+ O++ = + . (8) R . Thus, oursample consists of a total of 48 data points. H H+ H+ 3 The values of thecoefficients in Eq.(13) are derived by Theelectrontemperaturet2 ofthe[Oii]zoneisusually using an iteration procedure. In the first step, the relation determinedfrom an equationwhich relates t2 tot3,derived is determined from all data using the least-square method. by fitting Hii region models. Several versions of this t2 – Then, the point with the largest deviation is rejected, and t3 relation have been proposed. A widely used relation has a new relation is derived. The iteration procedure is pur- been suggested by Campbell et al. (1986) (see also Garnett sueduntiltwosuccessiverelations havealltheircoefficients (1992))basedontheHiiregionmodelsofStasin´ska(1982). differing by less 0.001 and the absolute value of the largest Campbell et al.(1986)hasfoundthatthet2–t3relationship deviationislessthan0.1dex.Thefollowingff–relationwas can beparameterized as obtained t2 =0.7t3+0.3. (9) logR = −4.151−3.118 logP +2.958 logR 3 It will be used here. − 0.680(logP)2. (14) 2.2 The ff – relation 2.3 Characteristics of the ff – relation The fluxes R in the auroral lines are necessary to derive theoxygenabundancesinHiiregionsusingtheT method. The top panel in Fig. 1 shows the flux R in the oxygen e auroral line as a function of the flux R in strong nebu- Buttheyarefaintandoftenundetectableinspectraofhigh- 3 metallicity Hii regions. It was shown (Pilyugin 2005) that lar [Oiii]λ4959+λ5007 lines. The open and filled circles show individual Hii regions with 12+logO/H > 8.25. The thefluxRintheaurorallineisrelatedtothetotalfluxR 23 relationscorrespondingtoEq.(14)fordifferentvaluesofthe in thestrong nebular lines through a relation of the type excitationparameterareshownbythesolid(P=1.0),long- logR=a+b×logR . (10) dashed(P= 0.7),short-dashed(P=0.3), anddotted(P= 23 (cid:13)c 0000RAS,MNRAS000,000–000 Oxygen abundances in the most oxygen-rich spiral galaxies 3 -1.0 0.6 0.4 0.2 f f 0.0 -2.0 D -0.2 -0.4 ) R -0.6 ( -3.0 8.2 8.3 128.+4log(O/H8).5 8.6 8.7 g T o e l 0.6 0.4 -4.0 0.2 f f 0.0 D -0.2 -0.4 -5.0 -0.9 -0.5 -0.1 0.3 0.7 1.1 -0.6 0.0 0.2 0.4 0.6 0.8 1.0 log(R ) 3 P Figure 2.Deviations fromtheff–relationasparameterized by -1.0 thediscrepancyindexDff asafunctionofoxygenabundance(top panel) and of excitation parameter P (bottom panel). The filled -1.5 circlesareHiiregionsusedinderivingtheff–relation.Theopen circlesareotherHiiregions. -2.0 ) donotshowacorrelationeitherwithmetallicityorwiththe R -2.5 ( excitation parameter. g Let us compare the two ff - relations given by Eq.(11) o -3.0 l andEq.(14).ThebottompanelinFig.1showsthefluxRin theoxygenaurorallineasafunctionofthetotalfluxR in -3.5 23 strongnebular[Oii]λ3727+λ3729and[Oiii]λ4959+λ5007 lines. The filled circles are the Hii regions used in deriving -4.0 Eq.(14). The open circles are the other Hii regions. The relationscorrespondingtoEq.(14)fordifferentvaluesofthe -4.5 excitationparameterareshownbythesolid(P=1.0),long- -0.1 0.1 0.3 0.5 0.7 0.9 1.1 log(R ) dashed(P= 0.3),short-dashed(P=0.2), anddotted(P= 23 0.1) lines. The relation corresponding to Eq.(11) is shown Figure 1. Theff–relationsforHiiregions.Top panel. FluxR by the plus signs. Inspection of the bottom panel of Fig. 1 in the oxygen auroral line as a function of the flux R3 in the shows that the relations given by Eq.(14) for values of the strong nebular [Oiii]λ4959+λ5007 lines for Hii regions. The excitation parameter P ranging from 1 to ∼ 0.3 are close circles (open and filled) show Hii regions with 12+logO/H > each to other. That led Pilyugin (2005) to conclude that 8.25. The relations corresponding to Eq.(14) for different values there appears to be no third parameter in the ff – relation. of the excitation parameter are shown by the solid (P = 1.0), Indeed, examination of the bottom panel in Fig. 1 shows long-dashed(P=0.7),short-dashed(P=0.3),anddotted(P= thattheff–relationsgivenbyEq.(11)andEq.(14)arevery 0.1) lines. Only filled circles are used in deriving Eq.(14). Bot- similar to each other and reproduce the observational data ttohme topatanlefll.uFxlRux23Rininthtehsetrooxnyggennebauularorr[aOl ilii]nλe37a2s7a+fuλn37ct2i9onanodf wellathighvaluesoftheexcitationparameter,P >∼ 0.3.At [Oiii]λ4959+λ5007 lines. The open and filled circles have the the same time there is an appreciable divergence between thosetworelationsatlowvaluesoftheexcitationparameter, samemeaningasinthetoppanel.Therelationscorrespondingto Eq.(14)fordifferentvaluesoftheexcitationparameterareshown P <∼ 0.3.Fordefiniteness’ssake,wewillusetheff–relation by the solid (P = 1.0), long-dashed (P = 0.3), short-dashed (P given by Eq.(14) for all values of P. =0.2),anddotted(P=0.1)lines.Therelationcorrespondingto It should be noted however that the particular form Eq.(11)isshownbyplussigns. of the analytical expression adopted for the ff – relation maybequestioned.Wehavechosenasimpleform,Eq.(13), but perhaps a more complex expression may give a better fit to the auroral – nebular oxygen line fluxes relationship. 0.1) lines. The filled circles show the data used in deriving Furthermore, the coefficients in the adopted expression are Eq.(14) (40 out of 48 original data points). derived using calibrating Hii regions which have a discrep- The deviations from the ff – relation given by Eq.(14) ancyindexD aslargeas0.1dexinabsolutevalue.Perhaps ff asparameterized bythediscrepancyindexD areshownin smaller absolute values of D may result in a more precise ff ff Fig. 2 as a function of oxygen abundance (top panel) and relation. It can be seen that the calibration curves give a of excitation parameterP (bottom panel).The filled circles satisfactory fittotheobservationaldata.Atthesametime, are Hii regions used in deriving Eq.(14). The open circles Fig. 1 shows that the available measurements for calibrat- are the other Hii regions. Fig. 2 shows that the deviations ing faint Hii regions (those with low R ) are very few in 3 (cid:13)c 0000RAS,MNRAS000,000–000 4 L.S. Pilyugin, T.X. Thuan and J.M. V´ılchez 0.4 9.2 M51 0.2 9.0 ) H / ∆(logO -00..02 g(O/H) 88..68 o l + -0.4 2 8.4 8.2 8.3 8.4 8.5 8.6 8.7 1 12+log(O/H) Te 8.2 0.4 8.0 0.2 0 2 4 6 8 10 12 14 H) R (kpc) / O g 0.0 o Figure 4.Radial distributionof oxygen abundances inthe disk l ( of the spiral galaxy M 51 (NGC 5194). The open circles denote ∆ -0.2 (O/H)ff abundances.Thesolidlineisthelinearleast-squarebest fittothosedata.Thefilledcirclesshow(O/H)Te abundancesfrom -0.4 Bresolinetal. (2004). The dashed line is their linear regression 0.0 0.2 0.4 0.6 0.8 1.0 P fit. 0.4 genabundances,i.e. negative∆log(O/H),just theobserved ) 0.2 trend. In general, the (O/H)ff abundances agree satisfac- H torily with the (O/H) abundances and do not show any / Te O g 0.0 systematic trend. o l In summary, the flux in the faint auroral line ( ∆ -0.2 [Oiii]λ4363canbeestimatedreasonablywellfromthemea- sured fluxes in the strong nebular lines [Oii]λ3727+λ3729 -0.4 and [Oiii]λ4959+λ5007 via the ff – relation. Then, using -0.3 -0.2 -0.1 0.0 0.1 0.2 0.3 D the derived flux in the auroral line, the oxygen abundance ff can befound through theclassic T – method. e Figure3.Thedifference∆log(O/H)=log(O/H)Te –log(O/H)ff asafunctionoflog(O/H)Te (top panel), ofexcitation parameter P(middle panel), andofdiscrepancyindexDff (bottom panel). 3 OXYGEN ABUNDANCES IN SPIRAL GALAXIES number.Furthermore,theRvaluesforthefaintHiiregions Here the derived ff – relation will be applied to derive the from Bresolin et al. (2004) are not measured but estimated oxygen abundances in a number of spiral galaxies. First, from the electron temperatures t and, consequently, they 3 M51(NGC5194),theoxygen-richestspiralgalaxy((O/H) C are not beyond question. Clearly, high-precision measure- =9.54)inthesampleofVila-Costas & Edmunds(1992)will mentsof oxygen lines fluxesin faint Hii regions are needed be considered. The value of (O/H) in M 51 was derived C to check thederived ff – relation. recently from determinations of (O/H) abundances in a Te number of Hii regions by Bresolin et al. (2004). Compari- sonbetweentheradialdistributionsof(O/H) and(O/H) Te ff 2.4 The (O/H) abundances ff abundancesinthediskofM51providesanotherpossibility Using the Te method, both (O/H)Te abundances based to test the reliability of the latter. Second, (O/H)ff abun- on the measured line fluxes Robs, and (O/H) abundances dancesinNGC3184,NGC3351,andNGC6744whichhave ff based on the line fluxes Rcal determined from the ff – rela- beenreportedtobethemostoxygen-richspirals,willbede- tion, can be derived for our sample of Hii regions. Com- termined.Third, we will consider threewell-observed spiral parison of their values gives us a check on the (O/H) galaxies NGC2903, NGC2997, andNGC5236 forcompar- ff abundances. Fig. 3 shows the difference ∆log(O/H) = ison.Fourth,theff–relationwillbeappliedtoGalacticHii log(O/H) – log(O/H) as a function of log(O/H) (top regions toselect high-precision measurements. Te ff Te panel), of excitation parameter P (middle panel), and of discrepancy index D (bottom panel). Inspection of Fig. 3 ff 3.1 Oxygen abundances in M 51 shows that the differences ∆log(O/H) do not show an ap- preciable correlation with metallicity orwith excitation pa- ThecompilationofpublishedspectraofHiiregionsinM51 rameter. There is however an anticorrelation of ∆log(O/H) is taken from Pilyugin et al. (2004). The Hii regions with with D . This can be easily understood. The discrepancy measuredR andR fluxesfromBresolin et al.(2004)(their ff 3 2 index appears to be an indicator of the error in the auro- Tables 1 and 6) have been added. We determine (O/H) ff rallineRmeasurements.Inthatcase,positivevaluesofD abundances for every Hii region using the derived ff – re- ff imply overestimated R fluxes, which result in turn in over- lation. The (O/H) abundances in the Hii regions of M 51 ff estimated electron temperatures and underestimated oxy- are shown as a function of galactocentric distance in Fig. 4 (cid:13)c 0000RAS,MNRAS000,000–000 Oxygen abundances in the most oxygen-rich spiral galaxies 5 byopencircles.Thesolid lineisthelinearleast-squarebest 9.2 fit to those data: 9.0 NGC3184 ) 12+log(O/H)=8.74(±0.03)−0.025(±0.004)×R. (15) /H 8.8 (O 8.6 Thedistance of M 51 (d= 7.64 Mpc) and theisophotal ra- g o 8.4 dius (R = 5.61 arcmin) were taken from Pilyugin et al. l 25 + (2004). The filled circles are (O/H) abundances deter- 2 8.2 Te 1 mined by Bresolin et al. (2004). The dashed line is their 8.0 linear regression: 7.8 0 2 4 6 8 10 12 12+log(O/H)=8.72(±0.09)−0.02(±0.01)×R. (16) R (kpc) Fig. 4 shows that the radial distribution of (O/H) ff 9.2 abundances agrees well with that of the (O/H) abun- Te 9.0 NGC3351 dances(comparealsoEq.(15)andEq.(16)).Thisisastrong ) argument in favor of the reliability of the (O/H) abun- H 8.8 ff / dances. (O 8.6 SomeHiiregionsshowlargedeviationsfromthegeneral og 8.4 l radialtrendinoxygenabundances.Someofthosedeviations + 2 8.2 can be real, but some are probably caused by uncertainties 1 in the oxygen abundance determinations. It should be em- 8.0 phasized that the uncertainties in the (O/H)ff abundances 7.80 2 4 6 8 10 12 are not necessarily caused by uncertainties in the line flux R (kpc) measurements. It has been noted (Pilyugin 2005) that the ff – relation gives reliable results only if two conditions are 9.2 satisfied; i) the measured fluxesreflect theirrelative contri- 9.0 NGC6744 butionstotheradiationofthewholenebula,andii)theHii ) H 8.8 regionisionization-bounded.Ifthesetwoconditionsarenot / met, then the derived (O/H)ff abundances may be signifi- g(O 8.6 cantly in error. o 8.4 l + 2 8.2 1 3.2 Oxygen abundances in the most oxygen-rich 8.0 spiral galaxies 7.8 0 4 8 12 16 20 24 The compilation of published spectra of Hii regions in the R (kpc) spiral galaxies NGC 3184, NGC 3351, and NGC 6744 was taken from Pilyugin et al. (2004). The (O/H) abundances Figure5.Radialdistributionsof(O/H)ff abundancesinthespi- ff ral galaxies NGC 3184, NGC 3351, and NGC 6744. The open in the Hii regions of NGC 3184 is shown as a function of circlesshowindividualHiiregions.Thelinesaretheleast-square galactocentric distancein thetop panel of Fig. 5. Thesolid fitstothosedata. line is the linear least-square best fit to those data: 12+log(O/H)=8.73(±0.03)−0.035(±0.004)×R. (17) regions in the spiral galaxies NGC 2903, NGC 2997, and The same data are shown for the Hii regions of NGC 3351 NGC 5236 was taken from Pilyugin et al. (2004). Recent measurements from Bresolin et al. (2005) havebeen added. in the middle panel of Fig. 5. The solid line is the linear Oxygen abundances were calculated for every Hii region least-square best fit to those data: using thederived ff – relation. 12+log(O/H)=8.74(±0.02)−0.023(±0.004)×R. (18) The (O/H)ff abundances in the Hii regions of NGC 2903 are shown as a function of galactocentric dis- Similarly, the data for the Hii regions of NGC 6744 are tance in the top panel of Fig. 6. The solid line is the linear showninthebottompanelofFig.5.Thelinearleast-square least-square best fit to those data: best fit to those data is given by: 12+log(O/H)=8.68(±0.02)−0.026(±0.003)×R. (20) 12+log(O/H)=8.75(±0.04)−0.022(±0.003)×R. (19) The middle panel of Fig. 6 shows the same for NGC 2997. The distances of the galaxies and the galactocentric dis- The linear least-square fit tothose data is: tances of the Hii regions were taken from Pilyugin et al. (2004). 12+log(O/H)=8.59(±0.05)−0.021(±0.007)×R. (21) Figs. 4 and 5 (see also Eqs.(15,17, 18,19)) show that The data for NGC 5236 are shown in the bottom panel of thevalues of (O/H) in thesespiral galaxies are ∼ 8.75. C Fig. 6. The linear least-square fit to those datais: 12+log(O/H)=8.62(±0.01)−0.022(±0.005)×R. (22) 3.3 Oxygen abundances in other spiral galaxies ThedistancesofthegalaxiesweretakenfromPilyugin et al. Wewill considerherethreewell-observed spiralgalaxies for (2004). comparison.ThecompilationofthepublishedspectraofHii Fig. 6 (see also Eqs.(20,21,22)) shows that the(O/H) C (cid:13)c 0000RAS,MNRAS000,000–000 6 L.S. Pilyugin, T.X. Thuan and J.M. V´ılchez 9.2 9.2 9.0 NGC2903 Te9.0 12+log(O/H) 8888....2468 12+log(O/H) 88888.....02468 8.0 7.8 0 2 4 6 8 10 12 14 16 7.8 R (kpc) 0 2 4 6 8 10 12 14 16 R (kpc) 9.2 9.2 9.0 NGC2997 Te9.0 ) H) 8.8 /H 8.8 / O 8.6 g(O 8.6 og( 8.4 o 8.4 l l + 8.2 + 2 12 8.2 1 8.0 8.0 7.8 0 2 4 6 8 10 12 14 16 7.8 R (kpc) 0 2 4 6 8 10 12 R (kpc) Figure 7. Radial distribution of (O/H)Te abundances in the diskoftheMilkyWayGalaxy.Toppanel. Theopencirclesshow 9.2 (O/H)Te for all Hii regions. The solid line is the linear least- 9.0 NGC5236 square fit to those data. Bottom panel. The filled circles show H) 8.8 (O/H)Te abundances for Hii regions with an absolute value of / (O 8.6 thediscrepancyindexDff lessthan0.05dex.Thesolidlineisthe g linear least-square fit to those data. The open square shows the lo 8.4 oxygenabundanceintheinterstellargasatthesolargalactocen- + 2 8.2 tricdistance. 1 8.0 7.8 Thederived(O/H) abundancesareshownasafunctionof 0 1 2 3 4 5 6 7 Te R (kpc) galactocentric distance by the open circles in the top panel ofFig.7.Thelinearleast-squarebestfittothosedata(with Figure6.Radialdistributionsof(O/H)ff abundancesinthespi- two points with a deviation more than 0.2 dexrejected) ral galaxies NGC 2903, NGC 2997, and NGC 5236. The open circlesshowindividualHiiregions.Thelinesaretheleast-square 12+log(O/H)=8.79(±0.05)−0.034(±0.005)×R (23) fitstothosedata. is shown by thesolid line in thetop panel of Fig. 7. There is a relative large number of measurements of abundances in NGC 2903, NGC 2997, and NGC 5236 are abundances in the Milky Way Galaxy. They show a large smaller than 8.70, i.e. lower than in NGC3184, NGC 3351, scatter since the quality of the data obtained over a pe- NGC 5194, and NGC 6744. riod of more than thirty years is necessarily heterogeneous. Thus,themaximumgas-phaseoxygenabundanceinthe Some measurements have a low accuracy. The ff – relation oxygen-richest spiral galaxies is 12+log(O/H) ∼ 8.75. This providesawaytoselect outtheHiiregionswithhighqual- valueissignificantlylower(byafactorof5ormore)thanthe ity measurements (Pilyugin & Thuan 2005). The bottom previousvalue based on the one-dimensional empirical cali- panelofFig.7showsthe(O/H)Te abundancesasafunction brations (e.g. Vila-Costas & Edmunds 1992; Zaritsky et al. ofgalactocentricdistanceforobjectswithanabsolutevalue 1994;van Zee et al. 1998; Garnett 2002). of the discrepancy index Dff less than 0.05 dex. The linear least-square best fit to those data 12+log(O/H)=8.70(±0.04)−0.022(±0.004)×R (24) 3.4 Oxygen abundances in the Milky Way Galaxy isshownbythesolidlineinthebottompanelofFig.7.The We now consider the Milky Way Galaxy. A compilation open square is theoxygen abundanceof theinterstellar gas of published spectra of Galactic Hii regions with an au- at thesolar galactocentric distance (see below). roral [Oiii]λ4363 line has been carried out by Pilyugin et The central oxygen abundance in the Milky Way ob- al. (2003). That list contains 69 individual measurements tained here, (O/H) ∼ 8.70, is significanly lower than the of 13 Hii regions in the range of galactocentric distances C widelyused(O/H) =9.38ofShaveret al.(1983).Ouroxy- C from 6.6 to 14.8 kpc. Recent measurements of six Galactic gen abundance radial gradient is in agreement with that of HiiregionsbyEsteban et al.(2005)wereaddedtothatlist, Daflon & Cunha (2004). They derived therelation resulting in a total of 75 measurements. The T -based oxy- e gen abundances were estimated using the equations above. 12+log(O/H)=8.762(±0.105)−0.031(±0.012)×R (25) (cid:13)c 0000RAS,MNRAS000,000–000 Oxygen abundances in the most oxygen-rich spiral galaxies 7 from abundancedeterminations in young OBstars. istence of theStasin´ska’s effect, theysuggest that thegreat We note that the central oxygen abundance obtained majorityofHiiregionsingalaxiesareinametallicityrange herefortheMilkyWayisclosetothatinotherlargespirals. where this effect is not important. Indeed, the Stasin´ska’s effectbecomesimportantonlyatoxygenabundanceshigher than 12 + log(O/H) ∼ 8.7. We have found that this ”crit- ical” value is reached only in the central part of the most 4 DISCUSSION AND CONCLUSIONS oxygen-rich galaxies. We conclude that, in the light of our The(O/H) abundancesdeterminedhererelyon thevalid- present results, Hii regions with 12+log(O/H) > 8.7 are ff ityoftheclassicT –method.Thishasbeenquestionedfor rare, if they exist at all. It should be noted that Stasin´ska e thehigh-metallicityregimeinanumberofinvestigationsby also questionedtheexistenceofsuch metal-rich Hiiregions comparison with Hii region photoionization models. One (Section 2.2 in Stasin´ska 2005). should keep in mind however that the existing numerical Anotherfactor thatcan affect Te-basedabundancede- models of Hii regions are far from being perfect (Stasin´ska terminations is the temperature fluctuations inside Hii re- 2004), and, hence, the statement that Hii region models gions (Peimbert 1967). If they are important, the (O/H)Te provide more realistic abundances as compared to the T abundance would be a lower limit. In most cases the effect e – method should not be taken for granted (Pilyugin 2003). appears to besmall, probably under0.1 dex (Pagel 2003). RecentlyStasin´ska (2005)hasexaminedthebiasesinvolved Fortunately, there is a way to verify the validity of the inTe-basedabundancedeterminationsathighmetallicities. Te – method at high metallicities (Pilyugin 2003). High- She has found that, as long as the metallicity is low, the resolution observationsoftheweakinterstellarOiλ1356ab- derived(O/H) valueisveryclosetotherealone.Discrep- sorption lines towards stars allow one to determine the in- Te ancies appear around 12+log(O/H) = 8.6 - 8.7, and may terstellar oxygen abundance in the solar vicinity with a become very large as the metallicity increases (Fig. 1a in very high precision. It should be noted that this method Stasin´ska 2005). The derived (O/H) values are smaller is model-independent. These observations yield a mean in- Te than the real ones, sometimes by enormous factors. This terstellaroxygenabundanceof284–390Oatomsper106 H means that, if such metal-rich Hii regions exist, the classic atoms (or 12+log(O/H) = 8.45 – 8.59) (Meyeret al. 1998; T –methodwillalwaysleadtosystematicallylowerderived Sofia& Meyer 2001; Cartledge et al. 2004). Oliveira et al. e oxygen abundances. (2005) have determined a mean O/H ratio of 345 ±19 O Can the effect discussed by Stasin´ska be responsible atoms per 106 H atoms (or 12+log(O/H) = 8.54) for the for the low (O/H) abundances obtained here? Let us as- Local Bubble.Thus, an oxygen abundance12+log(O/H) = Te sume that it is the case, and that the true central oxy- 8.50 in the interstellar gas at the solar galactocentric dis- gen abundances in the spiral galaxies are higher than 12 tanceseems tobeareasonable value.Thevalueof theoxy- + log(O/H) = 9.0. What radial distributions of (O/H) genabundanceatthesolargalactocentricdistancetracedby Te abundances in the disk of spiral galaxies would one expect (O/H)Te abundances in Hii regions is then in good agree- in this case? Starting from the periphery of a galaxy, the mentwiththeoxygenabundancederivedwithhighprecision (O/H) abundances would increase with decreasing galac- from the interstellar absorption lines towards stars (open Te tocentricdistance(following thetrueabundances) untilthe square in the bottom panel of Fig. 7). This is strong evi- (O/H)Te abundance reaches the value of 12+log(O/H) ∼ dencethattheclassicTe–methodprovidesaccurateoxygen 8.7.Afterthatthe(O/H) abundanceswoulddecreasewith abundancesin high-metallicity Hii regions. Te decreasing galactocentric distance because of the Stasin´ska The measured oxygen abundance in the solar vicinity (Fig. 1a in Stasin´ska 2005) effect, although the true abun- provides an indirect way to check our derived central oxy- dances continue to increase with decreasing galactocentric gen abundances. The oxygen abundance in the solar vicin- distance. Thus, the radial distribution of (O/H) abun- ityis 12+log(O/H)=8.50, and agas mass fraction µ∼ 0.20 Te dances should show a bow-shaped curve with a maximum seems appropriate. The simple model of chemical evolution valueof12+log(O/H)∼8.7atsomegalactocentricdistance. of galaxies predicts that a decrease of µ by 0.1 results in a Do the actual data (Fig. 5–7) show such a behavior? increaseoftheoxygenabundanceby∼0.12dexintherange The derived radial distributions of (O/H) abundances in of µ from ∼ 0.75 to ∼ 0.05. When all the gas in the solar Te the disks of spiral galaxies do not show an appreciable cur- vicinity will be converted into stars, the oxygen abundance vature, and the (O/H) abundances increase more or less willincreaseby0.2–0.25dexandwillreachavaluearound Te monotonicallywithdecreasinggalactocentricdistance.Only 12+log(O/H)=8.70–8.75.Thisvalueisinexcellentagree- theHiiregionsintheverycentralpartsofthespiralgalax- ment with the central oxygen abundances obtained above ies NGC 3351 (the middle panel of Fig. 5) and NGC 2997 fortheMilky Wayand othergalaxies. Thereis noroom for (themiddlepanelofFig.6)mayshow(O/H) abundances central oxygen abundances as large as 12+logO/H = 9.00 Te which are slightly lower than expected from thegeneral ra- or greater. dialabundancetrends,buttheeffectisveryslight andmay Thepresentstudysuggeststhatthereisanupperlimit not be real if errors of 0.1 dex (Fig. 3) in the calibration totheoxygen abundancesin spiral galaxies. Iftrue,theex- and in the line intensity measurements are taken into ac- isting luminosity – metallicity relation should be revisited. count. To settle the question of whether the abundances in One can expect the metallicity to increase with luminos- themetal-richest HiiregionsareaffectedbytheStasin´ska’s ity up to 12+(O/H) ∼ 8.75, but to remain approximately effect,manymoreaccuratemeasurementsofHiiregions(in- constant for higher metallicities, resulting in a flattening of cludingthoseintheverycentralparts)inthemostoxygen- theluminosity–metallicityrelation.Thissuggestionwillbe rich spiral galaxies are necessary. investigated in a future paper. Thus,while ourresultsdonotruleout thepossible ex- The maximum gas-phase oxygen abundance in spiral (cid:13)c 0000RAS,MNRAS000,000–000 8 L.S. Pilyugin, T.X. Thuan and J.M. V´ılchez galaxies is 12+log(O/H) ∼ 8.75. The central oxygen abun- Pilyugin, L.S., Ferrini, F., & Shkvarun,R.V., 2003, A&A, danceintheMilkyWayissimilartothatinotherlargespi- 401, 557 rals. Some fraction of the oxygen is locked into dust grains Pilyugin, L.S.& Thuan,T.X. 2005, ApJ, 631, 231 inHiiregions.Esteban et al. (1998)foundthatthefraction Pilyugin, L.S., V´ilchez, J.M., & Contini, T. 2004, A&A, of the dust-phase oxygen abundance in the Orion nebula is 425, 849 about 0.08 dex. Then, the true gas+dust maximum value Shaver, P.A., McGee, R.X., Newton, L.M., Danks, A.C., of the oxygen abundancein Hiiregions of spiral galaxies is Pottash, S.R.1983, MNRAS,204, 53 12+log(O/H) ∼ 8.85. This value can increase up to ∼ 8.90 Sofia U.J., & Meyer D.M. 2001, ApJL, 554, 221L –8.95iftemperaturefluctuationsinsideHiiregionsareim- Stasin´ska, G. 1982, A&AS,48, 299 portant. Stasin´ska, G. in: Cosmochemistry. The melting pot of the elements. XIII Canary Islands Winter School of Astro- physics.Eds.C.,Esteban,R.J.,Garc´iaL´opez,A.,Herrero, Acknowledgments F., S´anchez, Cambridge contemporary astrohysics, Cam- bridge, UK,Cambridge UniversityPress, 2004, p.115 We thank Yuri Izotov and Grazyna Stasin´ska for provid- Stasin´ska, G. 2005, A&A,434, 507 ing us with a new set of T -equations in advance of pub- e Vila-Costas, M.B., &Edmunds,M.G.1992, MNRAS,259, lication. We thank the anonymous referee for helpful com- 121 ments.Theresearchdescribedinthispublication wasmade vanZee,L.,Salzer,J.J.,Haynes,M.P.,O’Donoghue,A.A., possible in part by Award No UP1-2551-KV-03 of the U.S. & Balonek, T.J. 1998, AJ, 116, 2805 Civilian Research & Development Foundation for the Inde- ZaritskyD.,KennicuttR.C.,Jr.,&HuchraJ.P.1994,ApJ pendent States of the Former Soviet Union (CRDF). L.S.P 420, 87 wasalsopartlysupportedbygrantNo02.07/00132fromthe Ukrainian Fund of FundamentalInvestigations. 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