HIGH RYDBERG STATE RECOMBINATION LINES FROM INTERSTELLAR CARBON : AN
OBSERVATIONAL STUDY
A
Thesis
Submitted
for
theDegree
ofport or of $iU?iloeop4g
in the
Facultyof
ScienceBY
NIMISHA
G. KANTHARIA
DEPARTMENT
OFPHYSICS
INDIAN INSTITUTE OF SCIENCE
BANGALORE-560
012 (INDIA)
JULY 1997
Declaration
I hereby declare that the work presented in this thesis is entirely original, and has been carried out by me at the Raman Research lnstitute under the auspices of the Joint Astronomy Programme of the Department of Physics, Indian lnstitute of Science. I further declare that this has not formed the basis for the award of any degree, diploma, membership, associateship or similar title of any University or Institution.
Nimisha G. Kantharia
Department of Physics lndian lnstitute of Science Bangalore
-
560012INDIA
Raman Research lnstitute Prof. Sir C.V.Raman Avenue Bangalore
-
560080INDIA
ACKNOWLEDGMENTS
It haa been a pleasure to work in the quiet and encouraging environment at Ra- man Rmearch Inetitute. I thank my thesis advisor, Prof. K. R. Anantharamaiah for providing me with the opportunity to work with him. I am deeply indebted to him for introducing me to the fascinating world of observational radio astronoh, for sug- gesting the problems, for his guidance and for his patience. I have greatly benefited from the numerous scientific discussions with Prof K.RAnantharamaiah. It has been instructive being witness to his unique approach and attitude towards problems. The freedom he gave me to learn and grow at my pace has been rewarding. This thesis would not have d e d this stage but for his extensive advice, suggestions and insight.
Thanks Anantha.
I would like to thank Prof. G. Sriniwan, Prof. Rajaram Nitysnanda, Dr. Vivek Dhawan, Prof. Chanda Jog, Prof. Arnab Rai Choudhuri, Prof. D.C.V.Mallik and Prof.
Harish Bhatt for the wonderful Joint Astronomy Programme lecture classes during my first year. I thank Prof. T.P.Prabhu for guiding me through my summer project at Kavalur.
I thank H.A. Ashwathappa, C. Nanje Gowda, G.N. Rajaahelchar for helping me with long observations with the Gauribidanur telescope and the entire team at the Gau- ribidanur Observatory for maintaining the telescope. I thank
T.S.
Ravishankar and A.Santhoshkumar for the design and constitution of the multi-line receiver at Gauribida- nur. I thank Prof. A.A.Deshpande for many useful insights regarding the Gauribidanur system. I am grateful .to D. Anish h s h i for helping me with the observations using the Ooty Radio Telescope and useful discussions and Dr. V.Balasubramanian for allotment of telescope time. Thanks are also due to the entire team maintaining the Ooty Radio Telescope and to the team maintaining the RRI 10.4-m telescope.
I thank Dr. H.E.Payne for providing the VLA data on Cas A and also for the modified computer code that I have used to calculate the departure coefficients. I am grateful to Prof W. M. Goss for initiating me into the W3 problem and for his patience.
I thank Prof.
K.S.
Dwarakanath for helping with the VLA observations of G14+00.Many thanks to the entire computer section (past & present) for the state-of-the-art computing facilities and for making me an Authorised User. I also thank the section, especially P. Rajashekar & P. Ramadurai, for their help in software development.
I appreciate the efforts of the library section who have kept the library accessible and user-friendly. I thank the staff for their help whenever I required them and especially
to Mr. Chowdappa who ungrudgingly made multiple copies of the thesis.
I am grateful to the RRI canteen staff and the IISc mess staff who have provided me with ready-made meals.
I have enjoyed having many academic and non-academic discussions with my col- leagues and faculty at RRI. It is somewhat difficult to name and thank all my friends at IISc, RRI & IIA who have been supportive and a joy to have. I am not mentioning names here but I would certainly Like to say that there is silent gratitude for all of you.
I appreciate your friendship which has enriched my life. Thanks for being there and making the journey towards a Ph.D. more cheerful, wholesome and memorable inspite of the occasional frustrations. I thank you for many memorable discussions on various
topics. *
.
Last, but not the least, I am deeply grateful to my parents for introducing me to astronomy and research. My family has been a constant source of encouragement, strength and love, I also thank Ba for her special kind of wisdom.
Ta.
Synopsis
This thesis describes the results of an observational study of the partially ionized gas in the Galaxy using low-frequency radio recombination lines of carbon arising due to electronic transitions at large quantum numbers (150
<
n<
600). . , _Radio recombination lines are useful for studying the ionized component of the interstellar medium. Different types of ionized regions in the Galaxy give rise to de- tectable recombination lines of various atomic species such as hydrogen, helium and carbon. In general, recombination lines of hydrogen and helium are detected from hot
(T, - lo4 K) fully ionized clouds known as HII regions. On the other hand, recombi- nation lines of carbon arise in cooler (50 - 500 K) partially ionized regions. Although extensive studies of hot, ionized regions using recombination lines of hydrogen and he- lium have been d e d out, there are only a few observations of recombination lines of carbon from partially ionized gas. Carbon lines at relatively high frequencies (u > 1 GHz) are detected trom the partially ionized gas surrounding some strong H I I regions and these have been reasonably well studied. In 1980, Konovalenko & Sodin discovered a new %ype of carbon recombination line at a very low frequency (- 26 MHz) in the direction of the strong radio source, C a A. This line was in absorption and corre- sponded to the transition between n = 631 & n = 632 in carbon. Subsequently many other transitions at higher (n - 800) and at lower quantum numbers (n - 160) have been observed in this direction. These low-frequency carbon recombination lines ex- hibit interesting obeervable properties. The line width increases sharply towards lower frequencies (i.e. higher quantum numbers) due to pressure and radiation broadening and the lines turnover into emission at frequencies above 150 MHz (n < 350) due to in- version of level population and consequent stimulated emission. Interpretation of these lines has led to the conclusion that the lines arise in one of the major constituents of the ISM 2.e. either atomic clouds or molecular clouds or possibly both. In these largely neutral component of the ISM, carbon, due to its lower ionization potential (11.4 eV)
can be ionized by the background ultraviolet radiation.
Since these low-frequency carbon recombination lines arise in a major component of the ISM, these lines are potentially widely detectable and could be a useful diagnostic of physical conditions in the ISM. Searches for these lines in other directions in the Galactic plane have met with some success. Near 25 MHz, carbon lines have been detected in absorption from the directions of G75+00, ~ ~ ~ 2 0 2 4 , S140, L1407 & DR21.
Towards the Galactic centre, lines have been detected in absorption at 75 MHz and in
emission near 328 MHz. Similarly towards M16, absorption lines at 69 & 80 MHz and emission line near 325 MHz have been detected. In a recent survey at 76 MHz using the Parkes radio telescope, recombination lines of carbon were detected in absorption from all the observed directions with longitude
5
20". In all, there were more than 20 new detections which showed that ionized carbon is fairly widespread in the inner galaxy and that the recombination lines of carbon are detectable at low frequencies with existing instruments.In this thesis, we undertook extensive observations of carbon recombination lines near 34.5
MHz
using the low frequency 'T'-shaped dipole array located at Gauribidanur which is 80 km north of Bangalore. Since these were the first major spectral line observations using this radio telescope, a new spectrometer with associated hardware and software was developed for this purpose. Using this instrument, we searched for recombination lines of carbon a t 34.5 MHz (n N 575) from about 35 positions, most of them in the Galactic plane and a few against specific sources from which low frequency lines had been pre~ious~y detected. We detected carbon lines in absorption, from ten of these positions, eight of them in the first quadrant and one in the fourth quadrant of the Galaxy. The positive results include the first detection of a broad v;igt-shaped line profiIe from the direction of Cas A. The Voigt-shaped profile results from press'we and/or radiation broadening and in this thesis we derive constraints on the line-forming region from the observed line parameters.To complement the absorption line detections made with the Gauribidanur tele- scope, we observed a subset of these directions at 328 MHz (n
-
270) using the Ooty Radio Telescope and detected recombination lines of carbon, in emission, from all the positions with Galactic longitude<
20'. An emission line at 328 MHz was also de- tected from the direction of Cas A. At low frequencies, Cas A is an extremely strong continuum source because of which the effective angular resolution is determined by the angular size of Cas A i.e.-
5'. However, towards other directions in the Galactic plane, the angular resolution is determined by the telescope beam. At low frequencies, angular resolutions are generally poor (beam size-
several degrees) and cloud sizes are likely to be smaller tliari the beam size and therefore beam-dilution effects are likely to be significant. Since this modifies the line strengths, the models that fit the observed data also change. Thus, the size of the line-forming clouds plays a significant role in the interpretation of the observed line strengths. In order to obtain some constraints on the sizes of the line-forming regions, the observations with the Ooty Radio Telescope were made with two different angular resolutions i.e. 2" x 6' and 2" x 2". Furthermore, we attempted to image one of the Galactic-plane positions in recombination lines ofcarbon with high angular resolution (- 5') near 330 MHz using the Very Large Array (VLA) which is an aperture synthesis instrument located in the USA. The methods, the data analysis and results of all these observations are described in this thesis.
We have combined our observed recombination-line data towards various directions in the Galactic plane with previous results at other frequencies to model the carbon line-forming regions.
Two
types of models are considered. The first one is the-cold gas.(T, .<
20) model in which the carbon line regions are considered to be associated with molecular clouds which may not be in pressure equilibrium with the interstellar medium.In the second *type, which we refer to as the warm gas (50
< T, <
300 K) model, the observed carbon line8 are considered to originate in the neutralH
I component which is in rough preesure equilibrium with other atomic components of the interstellar' medium. .. In both fheae models, the effect of a dielectronic-like recombination pro- on the l&l populations of high quantum number states of carbon have been included.
In this process, an energetic (- 100 K) free electron recombines to a high quantum k b e r level in carbon with simultaneous excitation of a core electron from the fine- structure state
*PI12
to 2Pv. Since these fine-structure levels are separated by-
92K, this proceae ie more effective in the neutral
H
I component with temperaturea-
100K:
lThe physical parameters that we obtain from modelling favours the association of the carbon. line region with neutral H I gas in the Galaxy. However, the origin of them lines in molecular gas cannot be entirely ruled out. We find that a range of physical conditions are probable depending on the cloud size.The only direction that has been extensively investigated in low frequency recom- bination lines of carbon is that towards Cas A. The observed dependence of optical depth on quantum number seems to rule out the origin of these lines in cold (- 20 K) molecular clouds and favour the association with warmer (- 100 K) H I gas. If the spatial distribution of the carbon recombination lines over the face of Cas A can be compared with that of the
H
1 21-cm line which traces the atomic gas and 12C0 line which traces the molecular gas, then further knowledge on the possible association of the carbon line region with the neutral gas components can be obtained, For this purpose, we have imaged Cas A in the C270a line emission near 332 MHz using the VLA with an angular resolution of-
25". The 12C0 line emission with a resolution of-
1' was obtained using the 10.4-m mm-wave telescope at Raman Research Institute, Bangalore. The distribution of HI emission was obtained from published data. A cornparision of recombination line distribution with 12C0 &H
I distributions showed that there is good correspondence between C270a &H
I distributions and rather poor correlation between 12C0 & C270a distributions. These observations lend support tothe models in which the line-forming regions are associated with the H r gas. "
Lastly, we have investigated in this thesis, the partially ionized gas adjacent to the well known Galactic H 11 region W3A, using radio recombination lines of carbon and hydrogen near 1420 MHz. High angular resolution, high-sensitivity images of W3A were obtained in C168a and H168a lines using the VLA. The H168a line is found to be a combination of a broad (> 20 kms-') and a narrow (< 10 kms'l) component. While the broad line emission is attributable to the fully ionized hot HII region, the narrow line arises in the partially ionized gas surrounding the HII region. The intense carbon and hydrogen line emission is a result of stimulated emission by the background thermal region. We find from a comparison of the narrow H168a and C168a distributions across the continuum source that the two line-forming regions, although sharing some overlap, are not entirely coextensive. We have constrained the physical properties of these regions from the observed line parameters. The parameters of broad hydrogen line and the continuum emission detected towards W3A are combined with other data to obtain constraints on the temperature, density and clumpiness in the HII region.
In summary, we present in this thesis an extensive observational study of low- frequency carbon recombination lines from partially ionized gas associated with a widely distributed component of the interstellar medium. In addition, we also present a limited study of carbon and hydrogen recombination lines a t a higher frequency from the partially ionized medium adjacent to a well known HII region.
Contents
1 Introduction 1
. . .
.
1.1 The Interstellar Medium (ISM) an Overview 1
1.1.1 Classification of the ISM based on the dominant form of Hydrogen 2
. . .
1.1.2 Pressure Equilibrium in the ISM 4
. . .
1.1.3 Ionized Carbon in the ISM 6
. . .
1.2 Radio Recombination Lines
.
A Brief Review 7. . .
1.2.1 Hydrogen and Helium Recombination Lines 7
. . .
.
1.2.2 Radio Recombination Lines of Carbon 10. . .
1.3 Preview of the Present Work 14
2 Some theory of Radio Recombination Lines 16
. . .
2.1 Introduction 16
. . .
2.2 Recombination Line Frequencies 17
. . .
2.3 The Radiative Transfer Equation 18
. . .
2.4 Recombination Line Profiles 23
. . .
2.5 Calculation of Departure Coefficients 27
. . .
2.6 Dielectronic-like Recombination in Carbon 29
. . .
2.7 Boundary Conditions for calculating Departure Coefficients 32
. . .
2.8 Interpretation of RRL Observations 33
. . .
2.8.1 Determination of Electron Temperature 34
. . .
2.8.2 Determination of Electron Density 35
. . .
2.9 Frequency Dependence of Carbon Recombination Lines 37
. . .
2.10 Summary 40
3 Observations and Results 41
. . .
3.1 Introduction 41
. . .
3.2 Observations with the Gauribidanur Telescope 42
. . .
3.2.1 The Astrophysical Plan 42
. . .
3.2.2 The Equipment 44
. . .
3.2.3 The Observations 57
. . .
3.2.4 The Results 60
. . .
3.3 Observations with the Ooty Radio Telescope (ORT) 68
. . .
3.3.1 The Astrophysical Plan 68
. . .
3.3.2 The Observations 69
. . .
3.3.3 TheResults 72
. . .
3.4 Observations with the Very Large Array (VLA) 79
. . .
3.4.1 The Astrophysical Plan 79
. . .
3.4.2 Observations & Results 81
. . .
3.5 Observations with the RRI 10.4 m Telescope 90
. . .
3.5.1 The Astrophysical Plan 90
. . .
3.5.2 Observations & Results 90
. . .
3.6 Summary 93
4 Ionized Carbon towards Cas A . 95
. . .
4.1 Introduction 95
. . .
4.2 Observations towards Cas A 97
. . .
4.3 Properties of the Line Forming Region 99
. . .
4.3.1 Physical limits from Observed Line Width 99
. . .
4.3.2 Spatial Distributions of C270a, 12C0 and HI lines 102
. . .
4.3.3 Constraints from the Integrated Line Strength 105
. . .
4.4 Discussion 109
. . .
4.5 Summary 111
5 Ionized Carbon in the Galactic Plane 117
. . .
5.1 Introduction 117
. . .
5.2 The Angular Size of the Line-producing Clouds 119
. . .
5.2.1 Beam Dilution at 34.5
MHz
121. . .
5.3 Constraints from the Observed Line Widths 122
. . .
5.4 Site of Origin of Low-frequency Recombination Lines 125
. . .
5.4.1 Origin of Low-frequency lines in Hot Gas 126
. . .
5.4.2 Origin of Low-frequency lines in Cold Neutral Gas 126 5.4.3 The Longitude-Velocity Diagram of Carbon Recombination Lines
. . .
at 34.5 MHz & 328 MHz and Comparison with HI & 12C0 127
5.4.4 Tlie Li~ic-t. trCorit.i~irlu~ri Rittios o f Carl1011 Rc!combindio~i l i ~ l o &
. . .
Comparison witoh I-I I & '"0 133
. . .
5.5 Modelling the Line-Forming Regions 135
. . .
5.5.1 Physics underlying the modelling 135
. . .
5.5.2 The Modelling Procedure 137
. . .
5.5.3 Criteria for selecting Good Models 139
. . .
5.5.4 Generating the Models 140
5.5.5 Effect of change in physical parameters on the product b,P,
. . .
1435.5.6 Results of Modelling
-
Positions in the Inner Galaxy. . .
146. . .
5.5.7 Other Galactic positions 155 5.5.8 Discussion on the Probable Models of the Line-Forming Regions 156 5.6 On the Common Origin of Low-frequency Carbon Recombination lines. . .
and [CII] 158pm line emission 160. . .
5.7 Summary 161 6 Recombination Lines from the Galactic HI1 complex W3 163. . .
6.1 Introduction 163. . .
6.2 Observations & Results 165. . .
6.3 The Partially Ionized Medium 178 6.3.1 Spatial Distribution of Hydrogen & Carbon line regions. . .
1786.3.2 Expansion in the North-west region
. . . ' . . .
1796.3.3 Comparison with other tracers
. . .
1806.3.4 Modeling H0 & C 11 regions
. . .
1816.4 The Fully-Ionized HI1 region
. . .
1856.4.1 Electron Temperature
. . .
1856.4.2 Electron density and Filling Factor
. . .
1876.5 Summary
. . .
1897 Summary & Conclusions 191 7.1 Suggestions for Future Work
. . .
197