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A SURVEY OF MOLECULAR LINES TOWARD MASSIVE CLUMPS IN EARLY EVOLUTIONARY STAGES OF HIGH-MASS STAR FORMATION

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Published 2010 April 21 © 2010. The American Astronomical Society. All rights reserved.
, , Citation Takeshi Sakai et al 2010 ApJ 714 1658 DOI 10.1088/0004-637X/714/2/1658

0004-637X/714/2/1658

ABSTRACT

We have observed the CH3OH J = 2–1, SiO J = 2–1, C34S J = 2–1, H13CO+ J = 1–0, HN13C J = 1–0, CCH N = 1–0, OCS J = 8–7, and SO JN = 22–11 lines toward 20 massive clumps, including Midcourse Space Experiment (MSX) 8 μm dark sources (infrared dark clouds) and MSX 8 μm sources, by using the Nobeyama Radio Observatory 45 m telescope. We have found that the velocity widths of the CH3OH and C34S lines are broader than those of the H13CO+ line in the MSX dark sources. On the other hand, they are comparable to the velocity width of the H13CO+ line in the MSX sources. In addition, the [SiO]/[H13CO+] abundance ratio is found to be enhanced in the MSX dark sources in comparison with the MSX sources. These results suggest that shocks caused by interaction between an outflow and an ambient dense gas would have substantial impact on the chemical composition of the MSX dark sources. The velocity widths of the CH3OH and C34S lines relative to that of the H13CO+ line as well as the [SiO]/[H13CO+] abundance ratio could be used as good tools for investigating evolutionary stages of massive clumps. On the basis of the results, we discuss the chemical and physical evolution of massive clumps.

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1. INTRODUCTION

High-mass stars (>8 M) play important roles in the evolution of a galaxy. However, their formation process is a long standing problem. Toward its resolution, it is very important to understand the initial conditions for high-mass star formation. Since high-mass stars are known to form in massive and dense clumps (e.g., Plume et al. 1997), such clumps without active star formation are thought to be good targets for this purpose. Recently they have been found toward infrared dark clouds (IRDCs).

IRDCs are extinction features against the background mid-IR emission (e.g., Pérault et al. 1996; Egan et al. 1998; Simon et al. 2006). Hundreds of massive clumps associated with IRDCs are found by mapping observations with bolometer arrays (Carey et al. 2000; Beuther et al. 2002a; Faúndez et al. 2004; Hill et al. 2005; Rathborne et al. 2006; Schuller et al. 2009; Vasyunina et al. 2009). Although their typical mass is similar to that of massive clumps with active high-mass star formation, they are cold (10–20 K; Carey et al. 1998; Teyssier et al. 2002; Pillai et al. 2006) and dense (∼106 cm−3; Carey et al. 1998). Therefore, massive clumps associated with IRDCs are likely in a very early stage of high-mass star formation. High-resolution observations have been carried out toward several IRDCs, where evidences of high-mass star formation are found (Rathborne et al. 2007; Beuther et al. 2005a; Beuther & Steinacker 2007). Molecular line observations have also been carried out toward several IRDCs (Teyssier et al. 2002; Pillai et al. 2006, 2007; Purcell et al. 2006; Ragan et al. 2006; Beuther & Sridharan 2007; Leurini et al. 2007b).

In spite of the above observations, the evolutionary stages of many massive clumps are still controversial. For detailed understanding of high-mass star formation, it is essential to identify their evolutionary stages. As shown in studies of the low-mass starless cores (e.g., Suzuki et al. 1992), chemical composition will be useful for this purpose because it is sensitive to evolutionary stages. In addition, it reflects star formation activities; several molecules, such as CH3OH and NH3, evaporate from dust grains after the onset of star formation. Furthermore, the chemical composition will tell us about physical phenomena occurring in the deep inside of clumps because the emitting region could be different from molecule to molecule. Hence, we can learn star formation activities by observations of molecular lines, even if the internal structure is not resolved with single-dish observations. For example, SiO traces shocked regions such as an interacting region between an outflow and an ambient gas, whereas complex organic molecules trace hot molecular cores.

With the above motivation, we carried out a systematic survey of several molecular lines, such as CCS JN = 43–32, N2H+ J = 1–0, and CH3OH JK = 7K–6K, toward 55 massive clumps associated with IRDCs (Sakai et al. 2008, hereafter Paper I). We found that most of the massive clumps are chemically more evolved than low-mass starless cores. In addition, we found that the velocity widths of the CH3OH JK = 7K–6K line toward several MSX dark sources are broader than those toward the MSX sources. Such broadening would originate from a strong interaction between an outflow and a dense gas in the early stage of protostellar evolution. If so, the difference in the CH3OH velocity widths reflects a difference in evolutionary stages, and the CH3OH velocity width can be a useful indicator tracing evolutionary stages of massive clumps. However, we detected the CH3OH lines only for three MSX sources in Paper I because we employed very high excitation lines in the submillimeter region. Thus, we need more observations to confirm that the large CH3OH velocity width really reflects the early evolutionary stage of massive clumps. In this paper, we have carried out a survey of the SiO J = 2–1 and CH3OH JK = 2K–1K lines in the 3 mm wavelength region toward 20 massive clumps, including seven MSX 8 μm dark sources and nine MSX 8 μm sources, in order to investigate the origin of the large velocity width reported in Paper I. If the origin is related to shocks as suggested in Paper I, a similar feature is expected for the SiO line, which is known to be a good shock tracer. In addition, we have also surveyed the C34S, H13CO+, HN13C, CCH, OCS, and SO lines in order to explore chemical abundance variation among the massive clumps. On the basis of the results, we discuss how chemical and physical conditions of a massive clump vary with evolution.

2. OBSERVATIONS

We observed the 14 objects toward which the CH3OH J = 7–6 line were detected in Paper I. These objects include seven MSX 8 μm dark sources (hereafter MSX dark sources) and three MSX 8 μm sources (hereafter MSX sources). The remaining four sources are not associated with point-like sources and dark parts of the MSX 8 μm and show no contrast in the MSX 8 μm map toward these sources. Thus, these four sources have been identified only by the millimeter-continuum data. We classify these four sources as "Others." In addition to the above 14 objects, we observed six MSX sources, which are selected from the list by Beuther et al. (2002a). In total, we observed 20 massive clumps listed in Table 1. Distances to the sources are all less than 4.6 kpc. The observed MSX sources, except for G34.43+00.24 MM2, are recognized as high-mass protostellar objects (HMPOs). Note that the Spitzer 24 μm sources are associated with all the observed sources, indicating that star formation has already started.

Table 1. Target List

Source R.A. Decl. VLSR D Reference
  (J2000.0) (J2000.0) (km s−1) (kpc)  
MSX Dark Sources
G019.27+00.07 MM1 18 25 58.5 −12 03 59 26.8 2.3 1
G022.35+00.41 MM1 18 30 24.4 −09 10 34 52.7 3.7 1
G023.60+00.00 MM2 18 34 21.1 −08 18 07 53.3 3.7 1
G034.43+00.24 MM3 18 53 20.4    01 28 23 59.7 3.5 1
I18151-1208 MM2 18 17 50.4 −12 07 55 29.7 2.6 2, 3, 4
I18223-1243 MM3 18 25 08.3 −12 45 28 45.7 3.7 2, 3, 4
I18337-0743 MM3 18 36 18.2 −07 41 01 56.4 3.8 2, 3, 4
MSX Sources
G034.43+00.24 MM2 18 53 18.6    01 24 40 57.8 3.5 1
I18089-1732 MM1 18 11 51.5 −17 31 29 33.1 2.0a 2, 3, 4
I18151-1208 MM1 18 17 58.0 −12 07 27 33.2 2.8 2, 3, 4
I18182-1433 MM1 18 21 09.2 −14 31 57 60.0 4.6 2, 3, 4
I18223-1243 MM1 18 25 10.5 −12 42 26 45.3 3.6 2, 3, 4
I18264-1152 MM1 18 29 14.6 −11 50 22 43.7 3.4a 2, 3, 4
I18272-1217 MM1 18 30 02.9 −12 15 17 34.3 2.8a 2, 3, 4
I18337-0743 MM1 18 36 41.0 −07 39 20 58.4 3.9 2, 3, 4
I18385-0512 MM1 18 41 13.3 −05 09 01 26.0 1.7a 2, 3, 4
Others
G024.60+00.08 MM1 18 35 40.2 −07 18 37 53.1 3.6 1
G034.43+00.24 MM1 18 53 18.0    01 25 24 57.8 3.5 1
G034.43+00.24 MM4 18 53 19.0    01 24 08 57.7 3.5 1
I18102-1800 MM1 18 13 11.0 −17 59 59 22.4 2.7 2, 3, 4

Note. aDerived from our observation data in this paper by using the rotation curve of Clemens (1985). References. (1) Rathborne et al. 2006; (2) Sridharan et al. 2002; (3) Beuther et al. 2002a; (4) Sridharan et al. 2005.

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The CH3OH J = 2–1, SiO J = 2–1, C34S J = 2–1, H13CO+ J = 1–0, HN13C J = 1–0, CCH N = 1–0, OCS J = 8–7, and SO JN = 22–11 lines were observed by using the Nobeyama Radio Observatory (NRO) 45 m telescope in 2008 March. The line parameters are summarized in Table 2. We used the two side-band separating SIS receiver, T100 (Nakajima et al. 2008), for the observations. The SiO, H13CO+, HN13C, CCH, and SO lines were simultaneously observed with one frequency setting, whereas the CH3OH, C34S, and OCS lines were simultaneously observed with another frequency setting. The half-power beam width is 18'' and 17'' at 87 and 96 GHz, respectively. The main beam efficiency is 0.55 and 0.50 at 87 and 96 GHz, respectively Acousto-optical radiospectrometers (AOS) were employed as a backend. We used two types of AOSs, AOS-H and AOS-W. AOS-Hs have a bandwidth and a frequency resolution of 40 MHz and 37 kHz, respectively, while AOS-Ws have a bandwidth and a frequency resolution of 250 MHz and 250 kHz, respectively.

Table 2. Observed Lines

Species Transition ν(rest) Eu/k
    (GHz) (K)
CH3OH JK = 2−1–1−1 E 96.739362 4.6a
CH3OH JK = 20–10 A+ 96.741375 7.0
CH3OH JK = 20–10 E 96.744550 8.5a
CH3OH JK = 21–11 A 97.582804 21.6
SiO J = 2–1 86.846960 6.3
C34S J = 2–1 96.412940 6.9
H13CO+ J = 1–0 86.754288 4.2
HN13C J = 1–0 87.090850 4.2
CCH N = 1–0,J = 3/2–1/2,F = 2–1 87.316925 4.2
OCS J = 8–7 97.301209 21.0
SO JN = 22–11 86.093950 19.3

Note. aUpper state energy from the lowest level of the E state (1−1).

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The telescope pointing was checked by observing the nearby SiO maser source, IRC+00363, every 1–2 hr, and was maintained to be better than 5''. The line intensities were calibrated by the chopper wheel method. The system noise temperature was typically 200 K. All the observations were carried out with the position switching mode. The emission-free regions in the Galactic Ring Survey 13CO J = 1–0 data (Jackson et al. 2006) were employed as the OFF positions, as reported in Paper I.

3. RESULTS AND ANALYSIS

3.1. Spectra

3.1.1. MSX Dark Sources

Figure 1 shows the spectra of the observed MSX dark sources. In Figure 1, the top trace of each panel shows the CH3OH spectrum, where three K components of the J = 2–1 transition can be seen. The three components correspond to the JK = 20–10 E, 20–10 A+, and 2−1–1−1 E from left to right. Hereafter we call these three lines as J = 2–1 triplet. In this figure, we also present the CH3OH JK = 21–11 A line, whose upper state energy (22 K) is slightly higher than those of the JK = 20–10 E, 20–10 A+, and 2−1–1−1 E lines (5–9 K).

Figure 1. Refer to the following caption and surrounding text.

Figure 1. Spectra of the CH3OH (JK = 20–10 E, JK = 20–10 A+, JK = 2−1–1−1 E), CH3OH JK = 21–11 A, SiO J = 2–1, C34S J = 2–1, H13CO+ J = 1–0, HN13C J = 1–0, CCH N = 1–0, J = 3/2–1/2, F = 2–1, OCS J = 8–7, and SO JN = 22–11 lines from top to bottom observed toward the MSX dark sources. The CH3OH JK = 20–10 E, JK = 20–10 A+, JK = 2−1–1−1 E lines shown on the top of this figure overlap one another. For clarity, the intensity of the SiO line is multiplied by 2.

Standard image High-resolution image

The SiO line, which is a good shock tracer, was detected toward all the observed MSX dark sources. The detection rate is higher than that reported by Beuther & Sridharan (2007, ∼40 %). This may originate from the difference in the source selection criteria. We select the MSX dark sources toward which the CH3OH J = 7–6 line is detected, while Beuther & Sridharan observed almost all the MSX dark sources found by the bolometer array observation (Beuther et al. 2002a). Our observation therefore seems to be biased on active MSX dark sources. In fact, the Spitzer 24 μm sources are associated with all our observed sources.

The SiO lines look broader than the other molecular lines. The broad linewidth would reflect shocks due to molecular outflows. According to Chambers et al. (2009), the "green fuzzy" feature, which is a 4.5 μm excess due to the shock-excited lines, such as H2 0–0 S(9) and CO ν = 1–0, is seen toward most of our observed MSX dark sources. This supports that shocks are occurring in the observed sources.

The C34S peak intensities are generally weaker than the H13CO+ peak intensities, except toward G23.60+00.00 MM2. Toward G34.43+00.24 MM3, the C34S line is clearly broader than the H13CO+ line. This indicates that the C34S line comes from relatively active regions.

The H13CO+, HN13C, and CCH lines are relatively narrow, showing a Gaussian shape. The H13CO+ and HN13C line shapes are very similar to each other. This suggests that they come from relatively quiescent regions. The OCS and SO emissions are not detected toward all the MSX dark sources; very weak OCS emission can be seen toward a few sources.

3.1.2. MSX Sources

Figure 2 shows the spectra observed toward the MSX sources. We have detected strong CH3OH emission toward five sources; G34.43+00.24 MM2, I18089-1732 MM1, I18182-1433 MM1, I18264-1152 MM1, and I18337-0743 MM1. It is reported that hot molecular cores are associated with I18089-1732 MM1 (Beuther et al. 2004, 2005b) and I18182-1433 MM1 (Beuther et al. 2006). In the five sources, the other observed molecular line emissions are also strong, although there is a variation in the intensities among them. This variation suggests that the chemical compositions are slightly different from source to source.

Figure 2. Refer to the following caption and surrounding text.

Figure 2. Same as Figure 1, but toward the MSX sources.

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The CH3OH emission is relatively weak toward four sources; I18151-1208 MM1, I18223-1243 MM1, I18272-1217 MM1, and I18385-0512 MM1. However, strong H13CO+ and CCH emissions are detected toward I18151-1208 MM1 and I18223-1243 MM1, indicating that a large amount of dense gas exists there. On the other hand, all the emissions are weak toward I18272-1217 MM1 and I18385-0512 MM1, although their CCH intensities are comparable to those of the MSX dark sources. For these two sources, most of the dense gas has been dissipated by various star formation activities. Hence, they are more evolved than the others, as discussed by Beuther et al. (2002a) on the basis of their density profiles. In fact, the dust temperatures of I18272-1217 MM1 and I18385-0512 MM1 are 52 K and 49 K, respectively, being higher than those of the others. Furthermore, the centimeter-wave continuum emission is relatively strong toward these two objects (Sridharan et al. 2002).

3.1.3. Others

Figure 3 shows the spectra toward the other clumps. Strong CH3OH lines were detected toward all the four sources. All the molecular lines are strong toward G34.43+00.24 MM1, where even the OCS and SO lines are clearly detected. It is known that there is a hot core containing a high-mass protostar (Rathborne et al. 2008), and hence, the strong emissions toward G34.43+00.24 MM1 seem to be related to the hot core activity.

Figure 3. Refer to the following caption and surrounding text.

Figure 3. Same as Figure 1, but toward the "Others" sources.

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The SiO line was detected toward all the sources in this category. All the SiO lines show a broad feature, except for G34.43+00.24 MM4. Even for G34.43+00.24 MM4, a weak broad emission could be seen. The C34S line shapes are different from one another among the four sources. G34.43+00.24 MM1 and G24.60+00.08 MM1 show a broad feature of the C34S line. On the other hand, the C34S lines observed toward G34.43+00.24 MM4 and I18102-1800 MM1 have a narrow line shape that is similar to the H13CO+ line shape. These differences may reflect the difference in evolutionary stages, as discussed in a later section.

Table 3. Velocity Widthsa,b

Source CH3OHc CH3OHd SiO C34S H13CO+ HN13C CCH OCS SO
MSX Dark Sources
G019.27+0.07 MM1 6.4(0.2) 5.8(0.5) 13.0(1.0) 7.0(1.0) 3.0(0.2) 2.8(0.2) 3.4(0.2) 9.0(3.0) ...
G022.35+00.41 MM1 4.2(0.1) 3.9(0.5) 7.3(0.5) 3.5(0.7) 2.8(0.2) 2.8(0.3) 2.6(0.2) ... ...
G023.60+00.00 MM2 6.1(0.2) 2.5(0.5) 28.4(2.8) 3.7(0.3) 2.3(0.3) 2.4(0.3) 3.2(0.4) ... ...
G034.43+00.24 MM3 9.1(0.3) 7.7(0.4) 12.6(0.5) 6.1(0.6) 2.3(0.1) 1.9(0.2) 3.6(0.2) 4.7(0.9) ...
I18151-1208 MM2 5.4(0.1) 9.0(1.0) 8.5(1.0) 3.2(0.6) 2.7(0.1) 3.3(0.3) 4.2(0.1) 4.0(1.0) ...
I18223-1243 MM3 4.5(0.1) ... 6.1(0.3) 4.0(1.0) 2.5(0.1) 2.5(0.1) 3.2(0.1) ... ...
I18337-0743 MM3 5.6(0.2) ... 14.2(1.3) ... 4.2(0.5) 1.9(0.3) 4.5(0.4) ... ...
Average 5.9(1.6) 5.8(2.7) 12.9(7.5) 4.6(1.6) 2.8(0.7) 2.5(0.5) 3.5(0.6) 5.9(2.7) ...
MSX Sources
G034.43+00.24 MM2 5.9(0.1) 5.8(0.4) 10.1(0.3) 5.4(0.2) 4.8(0.1) 4.1(0.2) 5.5(0.2) 5.0(0.8) 4.7(0.3)
I18089-1732 MM1 3.6(0.1) 4.3(0.2) 15.4(1.7) 3.8(0.1) 3.7(0.1) 3.7(0.2) 3.8(0.2) 5.1(0.4) 4.0(0.3)
I18151-1208 MM1 3.3(0.2) 2.4(0.6) 2.5(0.4) 2.6(0.2) 2.1(0.1) 2.4(0.2) 2.7(0.1) ... ...
I18182-1433 MM1 3.8(0.1) 4.4(0.3) 5.2(0.4) 3.5(0.2) 3.3(0.2) 3.4(0.3) 3.5(0.1) 2.7(0.6) 3.9(0.4)
I18223-1243 MM1 4.1(0.4) ... ... 2.6(0.3) 2.5(0.1) 2.2(0.1) 3.0(0.1) ... ...
I18264-1152 MM1 4.0(0.1) 3.4(0.1) 9.5(0.6) 3.0(0.2) 2.8(0.1) 2.4(0.1) 3.1(0.1) 5.0(1.0) 7.5(0.5)
I18272-1217 MM1 ... ... ... 2.2(0.3) 1.7(0.4) ... 3.7(0.2) ... ...
I18337-0743 MM1 3.9(0.1) ... 5.8(0.6) 2.9(0.3) 3.5(0.1) 3.4(0.2) 3.7(0.1) ... ...
I18385-0512 MM1 ... ... ... 4.1(0.8) 3.5(0.4) ... 4.2(0.2) ... 7.1(0.8)
Average 4.1(0.8) 4.1(1.3) 8.1(4.6) 3.3(1.0) 3.1(0.9) 3.1(0.7) 3.7(0.8) 4.5(1.2) 5.4(1.7)
Others
G24.60+00.08 MM1 5.4(0.1) 4.8(0.7) 16.1(2.0) 5.1(0.2) 2.5(0.2) 3.2(0.4) 3.7(0.2) ... ...
G034.43+00.24 MM1 4.7(0.1) 5.2(0.1) 10.9(0.3) 5.4(0.2) 3.4(0.1) 3.0(0.1) 4.0(0.2) 5.9(0.8) 6.0(0.3)
G034.43+00.24 MM4 4.6(0.1) 6.5(0.6) 6.6(0.5) 3.5(0.3) 3.2(0.1) 2.6(0.2) 4.0(0.2) ... ...
I18102-1800 MM1 5.0(0.1) 5.1(0.6) 13.0(1.0) 3.9(0.4) 3.4(0.2) 3.2(0.3) 3.3(0.1) ... ...
Average 4.9(0.4) 5.4(0.8) 11.7(4.0) 4.5(0.9) 3.1(0.4) 3.0(0.3) 3.8(0.3) 5.9(–) 6.0(–)

Notes. aThe numbers in parentheses represent the errors of one standard deviation. bkm s−1. cObtained by fitting a triple Gaussian function to the CH3OH JK = 20–10 E, 20–10 A+, and 2−1–1−1 E lines. dObtained from the CH3OH JK = 21–11 A data.

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3.2. Velocity Widths

We fit the observed spectra with a single Gaussian function, except for the CH3OH J = 2–1 triplet lines. Since the CH3OH J = 2–1 triplet lines overlap one another, we fit the lines with a triple Gaussian function (see Appendix A). The results are listed in Table 3. Since the observed spectra sometimes show non-Gaussian shape, the velocity widths obtained here are "effective" ones. We tried to fit the spectra to the double Gaussian function with broad and narrow components without success because of insufficient signal-to-noise ratios. To investigate the difference from the Gaussian shape, we performed the reduced chi-squared test: if the large velocity width would be due to deviation from the Gaussian shape, the reduced chi-square should be large for the lines with large velocity widths. However, we did not find any dependence of the velocity widths on the reduced chi-square, and hence, we cannot say that the large velocity widths are due to non-Gaussian features, such as a wing-like feature. To investigate how the wing-like feature dominates in the spectra, more sensitive observations are necessary.

Figure 4 shows plots of the velocity widths of the observed molecular lines against that of the H13CO+ line. In these plots, it is apparent that the velocity widths of the CH3OH, SiO, C34S, OCS, and SO lines tend to be larger than that of H13CO+ for several sources. In contrast, the velocity widths of CCH and HN13C are similar to that of H13CO+. The enhancement of the CH3OH, SiO, C34S, OCS, and SO velocity widths cannot originate from the high optical depth because the line shape does not show a flat top profile nor a self-absorption profile. These features imply that these molecular lines come from different parts within a dense clump.

Figure 4. Refer to the following caption and surrounding text.

Figure 4. Plots of the velocity width of various observed lines against that of the H13CO+ J = 1–0 line.

Standard image High-resolution image

In contrast, the situation is different between the MSX dark sources and the MSX sources. We find that the CH3OH and C34S velocity widths of the MSX sources are similar to each other and are well correlated with the H13CO+ velocity width, where the correlation coefficient is 0.82, 0.98, and 0.92 for the CH3OH J = 2–1 triplet, CH3OH JK = 21–11 A, and C34S J = 2–1 lines, respectively. On the other hand, the MSX dark sources show the broad widths of the CH3OH and C34S lines and no correlation with the H13CO+ linewidth, where the correlation coefficient is −0.24, 0.11, and 0.22 for the CH3OH J = 2–1 triplet, CH3OH JK = 21–11 A, and C34S lines, respectively. Thus, this difference in the velocity width seems to reflect a difference of evolutionary stages. This confirms the results in Paper I, as mentioned in Section 1. Recently, Purcell et al. (2009) also reported a similar trend toward several MSX dark sources and the MSX sources.

Figure 5(a) shows a plot of the velocity width of CH3OH against that of SiO. In the MSX dark sources, the SiO velocity width is broader than the CH3OH velocity width. Since the broad velocity width of SiO is likely to originate from shocks due to outflows, it would be natural that the large velocity width of CH3OH is also due to the shocks. The difference of the velocity widths reflects the difference of distributions of SiO and CH3OH in shocked regions. This point is later discussed in Sections 4.1.1 and 4.1.2.

Figure 5. Refer to the following caption and surrounding text.

Figure 5. (a) Plot of the velocity width of CH3OH vs. that of SiO J = 2–1. (b) Plot of the velocity width of CH3OH vs. that of C34S J = 2–1. The CH3OH velocity width plotted here is obtained by fitting the three overlapping lines (CH3OH JK = 20–10 E, JK = 20–10 A+, JK = 2−1–1−1 E).

Standard image High-resolution image

Figure 5(b) shows a plot of the velocity width of CH3OH against that of C34S. We can see a rough correlation between them (correlation coefficient ∼0.75), although the CH3OH velocity widths tend to be broader than the C34S velocity width. This may indicate that the emitting regions of the CH3OH line are similar to that of the C34S lines within a clump.

3.3. Integrated Intensities

The integrated intensities of the observed sources are listed in Table 4. Since millimeter-wave and submillimeter-wave continuum emissions have been observed for most IRDC clumps, we examine the relationship between molecular line emissions and dust emissions. In Figure 6, we plot the integrated intensities of each molecular line against the 1.2 mm peak emissions observed by Beuther et al. (2002a) and Rathborne et al. (2006).

Figure 6. Refer to the following caption and surrounding text.

Figure 6. Plots of the observed integrated intensities of various molecules against the 1.2 mm peak flux (Beuther et al. 2002a; Rathborne et al. 2006).

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Table 4. Integrated Intensitiesa,b

Source CH3OHc CH3OHd SiO C34S H13CO+ HN13C CCH OCS SO
MSX Dark Sources
G019.27+0.07 MM1 20.1(0.2) 1.2(0.1) 4.0(0.3) 1.1(0.2) 1.3(0.2) 0.9(0.1) 1.4(0.1) 0.8(0.2) 0.4(0.1)
G022.35+00.41 MM1 15.2(0.2) 0.8(0.1) 3.7(0.3) 0.7(0.2) 1.5(0.1) 1.2(0.1) 1.1(0.1) <0.7 <0.3
G023.60+00.00 MM2 16.5(0.2) 0.7(0.1) 2.7(0.3) 2.0(0.2) 0.5(0.1) 0.6(0.1) 1.4(0.1) <0.5 0.3(0.1)
G034.43+00.24 MM3 31.5(0.2) 2.3(0.1) 6.0(0.2) 1.6(0.2) 2.0(0.2) 0.7(0.1) 2.7(0.1) 1.0(0.2) 0.5(0.1)
I18151-1208 MM2 16.4(0.2) 1.3(0.1) 3.3(0.3) 0.8(0.2) 2.4(0.2) 1.4(0.2) 4.6(0.1) 0.7(0.2) 0.4(0.1)
I18223-1243 MM3 8.2(0.3) <0.5 2.1(0.2) 1.1(0.2) 2.3(0.1) 2.3(0.1) 2.8(0.1) <0.8 <0.4
I18337-0743 MM3 15.3(0.4) 1.0(0.2) 2.9(0.3) <0.7 1.1(0.2) 0.6(0.2) 0.9(0.1) <0.7 <0.4
MSX Sources
G034.43+00.24 MM2 32.0(0.2) 2.1(0.1) 6.8(0.2) 4.7(0.2) 5.0(0.2) 2.3(0.2) 4.4(0.1) 1.2(0.1) 1.2(0.1)
I18089-1732 MM1 10.8(0.2) 2.0(0.1) 2.8(0.3) 6.7(0.2) 2.7(0.2) 2.4(0.1) 3.3(0.1) 2.3(0.2) 1.7(0.1)
I18151-1208 MM1 4.5(0.2) 0.6(0.1) 1.0(0.3) 1.8(0.2) 2.4(0.2) 1.5(0.1) 4.8(0.1) <0.5 0.4(0.1)
I18182-1433 MM1 11.5(0.3) 1.9(0.1) 2.8(0.3) 3.3(0.2) 2.9(0.2) 1.1(0.2) 3.3(0.1) 0.7(0.2) 0.9(0.1)
I18223-1243 MM1 3.4(0.3) <0.6 <0.8 1.5(0.2) 3.0(0.1) 1.4(0.1) 4.5(0.1) <0.7 <0.4
I18264-1152 MM1 19.1(0.3) 1.2(0.1) 4.8(0.3) 2.7(0.2) 4.7(0.2) 1.7(0.2) 5.2(0.1) 1.0(0.2) 1.7(0.1)
I18272-1217 MM1 <0.8 <0.4 <0.7 0.8(0.2) 0.6(0.2) <0.5 2.0(0.1) <0.7 <0.4
I18337-0743 MM1 18.9(0.4) <0.5 2.4(0.2) 1.1(0.2) 2.4(0.1) 1.5(0.1) 3.3(0.1) <0.9 0.4(0.1)
I18385-0512 MM1 <0.9 <0.4 <0.8 0.9(0.2) 0.8(0.2) <0.4 1.8(0.1) <0.6 1.0(0.1)
Others
G24.60+00.08 MM1 12.7(0.2) 0.8(0.1) 1.8(0.2) 1.3(0.2) 1.3(0.1) 1.0(0.2) 1.4(0.1) <0.5 <0.3
G034.43+00.24 MM1 38.7(0.2) 5.6(0.1) 7.8(0.2) 4.6(0.2) 3.7(0.2) 2.2(0.2) 3.8(0.1) 3.1(0.1) 2.0(0.1)
G034.43+00.24 MM4 21.2(0.3) 1.0(0.1) 3.9(0.3) 1.9(0.2) 3.2(0.2) 1.3(0.2) 2.3(0.1) <0.7 0.6(0.1)
I18102-1800 MM1 16.7(0.3) 1.0(0.1) 3.1(0.3) 2.1(0.2) 2.0(0.2) 1.4(0.2) 2.6(0.1) <0.7 0.5(0.1)

Notes. aThe numbers in parentheses represent the errors of one standard deviation. b[K km s−1] in T*a. cTotal integrated intensity of the CH3OH JK = 20–10 E, 20–10 A+, and 2−1–1−1 E lines. dIntegrated intensity of the CH3OH JK = 21–11 A line.

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The CH3OH and SiO integrated intensities show no systematic trends between the MSX dark sources and the MSX sources. For these two molecules, the integrated intensities of the MSX dark sources are comparable to those of the MSX sources, although the scatter of the integrated intensity is larger for the MSX sources. This is due to relatively large velocity widths of the MSX dark sources, as shown in Figure 4, and is not due to the optical depth effect of the lines of the MSX sources. A range of the SiO J = 2–1 integrated intensities for the MSX dark sources obtained here is comparable to that for the massive infrared-quiet cores in the Cygnus X region obtained by Motte et al. (2007), which are thought to be in a very early stage of high-mass star formation.

On the other hand, the integrated intensities tend to be larger toward the MSX sources than toward the MSX dark sources for H13CO+, C34S, CCH, and SO and possibly for HN13C. The integrated intensities of OCS are weaker than those of the other molecules and are not very different between the MSX dark sources and the MSX sources except for I18089-1732 MM1, although many of them are upper limits. The SO intensities of several MSX sources are clearly higher than those of the MSX dark sources. The SO emission is strong toward all the objects whose 1.2 mm peak flux is larger than 1 Jy. These results may suggest that SO is abundant in a hot region.

3.4. Column Densities

For simplicity, we derive the column densities, N, of the observed molecules from the integrated intensities by assuming the local thermodynamic equilibrium conditions. To derive the column densities, we have to assume the excitation temperatures of the molecular lines. Since we have observed the CH3OH J = 7–6 lines toward almost all the objects, except for five sources, in Paper I, we can derive the rotational temperature of CH3OH from the CH3OH J = 2–1 and J = 7–6 E-type lines by using the rotation diagram method (e.g., Turner 1991). In Table 5, we list the derived rotation temperatures. Figure 7 shows the plot of the CH3OH rotation temperature against the NH3 rotation temperature reported in Paper I. The CH3OH rotation temperature, Trot(CH3OH), is found to be comparable to the NH3 rotation temperature within ±5 K. Hence, we assume that the excitation temperature ranges from Trot(CH3OH)−5 K to Trot(CH3OH)+5 K for all the molecules except for CH3OH. As for CH3OH, we adopt the 1σ error in the rotation diagram analysis (Table 5) as the error range of Trot(CH3OH).

Figure 7. Refer to the following caption and surrounding text.

Figure 7. Plot of Trot(CH3OH) vs. Trot(NH3).

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Table 5. Abundancesa

Source Trot(CH3OH) N(H13CO+) N(CH3OH)b N(SiO) N(C34S) N(HN13C) N(CCH) N(OCS) N(SO))
  (K) 1012 (cm−2) /N(H13CO+) /N(H13CO+) /N(H13CO+) /N(H13CO+) /N(H13CO+) /N(H13CO+) /N(H13CO+)
MSX Dark Sources
G019.27+0.07 MM1 15.0 (1.3) 3.0+1.2−0.9 165+79−55 5.8+4.0−2.4 3.6+2.7−1.5 1.5+1.2−0.7 25+21−12 51+64−22 17+17−7
G022.35+00.41 MM1 14.9 (1.8) 3.6+1.3−1.1 91+50−33 4.5+3.0−1.8 2.0+1.7−1.0 1.6+1.2−0.7 15+14−8 <90 <27
G023.60+00.00 MM2 16.4 (1.6) 1.3+0.7−0.5 240+162−109 9.4+8.0−4.6 16.4+13.7−7.9 2.5+2.5−1.4 43+42−24 <145 29+26−14
G034.43+00.24 MM3 15.5 (1.6) 4.9+1.8−1.4 198+85−58 5.3+3.4−2.0 3.3+2.2−1.3 0.8+0.6−0.4 22+16−9 37+40−15 12+11−5
I18151-1208 MM2 21.2 (2.5) 7.2+2.3−2.0 85+42−28 2.4+1.5−0.9 1.3+1.0−0.6 1.2+0.8−0.5 31+19−12 17+11−7 7+4−3
I18223-1243 MM3 20.4 (3.1) 6.6+2.1−1.8 <58 1.6+1.0−0.6 1.9+1.4−0.9 2.1+1.3−0.8 21+13−8 <36 <12
I18337-0743 MM3 13.7 (1.0) 2.4+1.1−0.8 176+92−67 4.9+3.5−2.0 <5.7 1.1+1.1−0.6 23+23−13 <180 <49
MSX Sources
G034.43+00.24 MM2 17.9 (1.9) 13.1+4.2−3.5 68+29−19 2.4+1.4−0.9 3.9+2.2−1.4 1.0+0.6−0.4 22+14−9 17+12−5 12+6−3
I18089-1732 MM1 ... 7.7+10.5−3.1 131+49−35 1.9+0.4−0.3 10.5+2.4−2.1 1.8+0.4−0.3 35+8−7 67+50−38 34+17−15
I18151-1208 MM1 24.5 (2.5) 8.0+2.4−2.1 39+21−15 0.7+0.5−0.3 3.0+1.7−1.1 1.3+0.8−0.5 31+17−11 <18 6+3−2
I18182-1433 MM1 18.0 (1.0) 7.8+2.6−2.1 104+43−29 1.7+1.1−0.7 4.6+2.7−1.7 0.8+0.6−0.3 17+11−7 16+14−7 15+8−4
I18223-1243 MM1 ... 8.5+11.4−3.4 <46 <0.6 2.1+0.5−0.4 1.0+0.2−0.2 26+6−5 <32 <10
I18264-1152 MM1 ... 13.5+18.0−5.4 44+17−12 1.8+0.4−0.3 2.4+0.5−0.5 0.8+0.2−0.1 17+4−3 16+12−9 19+10−8
I18272-1217 MM1 ... 1.6+2.8−0.8 <188 <2.9 5.8+1.3−1.2 <2.4 54+12−10 <169 <53
I18337-0743 MM1 13.4 (2.0) 5.4+2.0−1.5 <68 1.8+1.2−0.7 2.0+1.5−0.8 1.3+0.9−0.6 30+20−12 <92 10+13−4
I18385-0512 MM1 ... 2.2+3.7−1.1 <134 <2.3 4.9+1.1−1.0 <1.4 49+11−9 <103 67+34−30
Others
G24.60+00.08 MM1 16.9 (4.3) 3.3+1.2−1.0 103+60−34 2.5+1.7−1.0 4.1+2.9−1.7 1.6+1.2−0.7 17+13−8 <56 <24
G034.43+00.24 MM1 18.7 (1.5) 10.2+3.2−2.7 243+96−66 3.7+2.1−1.3 5.0+2.8−1.8 1.2+0.8−0.5 20+12−8 54+32−14 25+12−6
G034.43+00.24 MM4 16.2 (1.8) 7.8+2.7−2.2 53+25−17 2.2+1.4−0.9 2.6+1.6−1.0 0.8+0.6−0.4 22+16−10 <34 10+8−4
I18102-1800 MM1 16.7 (2.4) 4.9+1.8−1.4 82+43−28 2.9+1.9−1.2 4.4+2.8−1.7 1.5+1.1−0.7 25+18−11 <56 12+10−5

Notes. aFor the five sources for which we could not derive Trot(CH3OH), the values denoted are derived by assuming that Tex = 20 K, and the errors include that Tex ranges from 10 K to 50 K. See the text for details (Section 3.4). bThe column density of CH3OH is the sum of the A and E species, where the same excitation temperature is applied to both species.

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Since we have observed two hyperfine components of the CCH line, we can derive the optical depth, τ, from the two lines (see Appendix B). The derived optical depths of the CCH line are summarized in Table 7, where the maximum optical depth is 2.17 for G34.43+00.24 MM4. By using the optical depth, we correct the column density by multiplying a factor of τ/(1−e−τ); the optical depth of 2.17 corresponds to the correction factor of 2.45. The effect of the optical depth on the derived column densities will be discussed below.

The uncertainties of the derived column densities are evaluated by incorporating the following contributions. (1) The statistical error due to the spectrum noise and the intensity calibration error—the former is derived from the observed rms noise of each spectrum, (2) an uncertainty due to unknown excitation temperature—this is estimated by the method described above, and (3) an uncertainty due to the unknown optical depth. This is difficult to estimate. Nevertheless, we know that the optical depth of CCH is less than 2.17 on the basis of the hyperfine analysis. Since the abundances of H13CO+, HN13C, SiO, SO, and OCS are generally lower than that of CCH (e.g., Bergin et al. 1997) and the intensities of these molecular lines are rather weak, it is likely that the observed molecular lines of these molecules are not optically very thick. As for CH3OH, we use the integrated intensity of the CH3OH JK = 21–11 A line to derive the column density. Since the intensities of this line are rather weak for the observed sources, this line is likely to be optically thin. In Figure 6, the C34S, H13CO+, and CCH integrated intensities are weakly correlated with the 1.2 mm peak emission, where the correlation coefficient is 0.49, 0.66, and 0.54 for C34S, H13CO+, and CCH, respectively. Since the 1.2 mm peak emission traces the total column density along the line of sight, the weak correlation means no heavy saturation of these line emissions, further supporting the optically thin conditions for the lines. We think that the column densities derived here are accurate within a factor of 2.

In the following, we use the fractional abundances relative to H13CO+ (Table 5). Although there are five sources for which we cannot derive the rotation temperature, we derive the column density ratios, assuming that the excitation temperature ranges from 10 K to 50 K. In the calculation of the systematic error, we also assume that the excitation temperature difference between H13CO+ and the other molecules is less than 10 K. Judging from the velocity width, the H13CO+ emission would trace relatively quiescent regions. In addition, the H13CO+ abundance does not vary so much with time according to the chemical model calculations (Bergin et al. 1997; Nomura & Millar 2004). Thus, we think that the H13CO+ column density reflects the total amount of dense gas in a clump. Therefore, the N(SiO)/N(H13CO+) ratio, for instance, represents the fraction of the shocked gas in a dense clump. In Figure 8, we plot the abundance ratios of the observed molecules against N(CH3OH)/N(H13CO+). The errors indicated in Table 5 and Figure 8 include all the uncertainties mentioned above.

Figure 8. Refer to the following caption and surrounding text.

Figure 8. Plots of N(CH3OH)/N(H13CO+) vs. N(SiO)/N(H13CO+), N(C34S)/N(H13CO+), and N(CCH)/N(H13CO+). The plotted values are calculated with assuming that Tex = Trot(CH3OH). As for the five sources for which we could not derive Trot(CH3OH), the plotted values are calculated by assuming that Tex = 20 K, and the errors include that Tex ranges from 10 K to 50 K. Error bars include one standard deviation of the statistical error and an error due to the assumption of Tex (see Section 3.4 for detail).

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4. DISCUSSION

4.1. Origin of the Molecules

4.1.1. SiO

The SiO molecule is known to be absent in cold quiescent clouds like TMC-1, because Si is almost depleted onto dust grains (e.g., Ziurys et al. 1989). When a shock occurs in a cloud, SiO is released into the gas phase by disruption of silicate grains through sputtering and grain–grain collisions (e.g., Seab & Shull 1983; Schilke et al. 1997). Alternatively, the Si atom is ejected into the gas phase, which reacts with O2 or OH to produce SiO (e.g., Caselli et al. 1997; Schilke et al. 1997). Thus, SiO is generally abundant in a shocked region caused by an interaction between an outflow and a surrounding medium (Mikami et al. 1992; Bachiller & Pérez Gutiérrez 1997).

In Figure 8, it is remarkable that the N(SiO)/N(H13CO+) ratios of the MSX dark sources are higher than those of the MSX sources. This indicates that the fraction of shocked gas is lower in the MSX sources than in the MSX dark sources, although the observed MSX sources have powerful outflows (Beuther et al. 2002b). Since the H13CO+ integrated intensity tends to be higher in the MSX sources (Figure 6), the lower N(SiO)/N(H13CO+) ratios in the MSX sources could partly be due to a large amount of dense gas. However, it seems more likely that the SiO abundance decreases in the MSX sources, because the SiO integrated intensities of some MSX sources are actually much lower than those of the MSX dark sources (Figure 6). Motte et al. (2007) also indicate that the SiO integrated intensities of the infrared-quiet cores are higher than those of the luminous infrared sources (see Figure 8 in Motte et al. 2007).

As mentioned above, a strong shock is necessary for the SiO production in the gas phase. In MSX dark sources, which are in early stages of star formation, a dense gas would still surround the protostars. Hence a strong shock can occur by an impact of an outflow on the ambient dense gas. On the other hand, the outflow cavity may have been relatively large in evolved sources, like MSX sources, so that a strong shock does not occur frequently in the vicinity of the protostars. Thus, SiO cannot be provided efficiently into the gas phase in the evolved sources. Furthermore, it has been suggested that the SiO abundance in the gas phase would decrease with time by depletion onto dust grains or the gas-phase destruction with OH, where the timescale of destruction is estimated to be about 104 yr (Pineau des Forets et al. 1997). Since the lifetime of SiO is shorter than the dynamical timescale of the outflows of the MSX sources (several times 104 yr; Beuther et al. 2002b), SiO tends to be less abundant in the MSX sources. On the basis of the SiO observations of 15 high-mass star forming cores, Miettinen et al. (2006) suggest that the SiO abundance decreases with rising temperature. This can also be interpreted as the SiO abundance decreasing with time.

Codella et al. (1999) pointed out that the SiO line profile reflects evolutionary stages; the SiO line has a large velocity width due to shock in the early stage, while it becomes narrower in the late stage as the shock slows down. In our data, the SiO line width tends to be narrower toward the MSX sources than toward the MSX dark sources. Thus, the SiO emission from the MSX sources would trace relatively old shocks, whereas it would mainly trace newly formed shocks in the MSX dark sources.

4.1.2. CH3OH

In Figure 8, the N(CH3OH)/N(H13CO+) ratios of the MSX dark sources tend to be higher than those of the MSX sources, and we can see a correlation with N(SiO)/N(H13CO+), where the correlation coefficient is 0.77. The high abundance of CH3OH in the MSX dark sources is consistent with the results by Leurini et al. (2007b). In contrast, Beuther & Sridharan (2007) suggest that the CH3OH abundance of IRDCs is as low as that of low-mass star forming cores. This difference may be due to the difference in the source selection criteria; we observed rather active MSX dark sources, as mentioned earlier.

The correlation between the CH3OH and SiO abundances means that the origin of CH3OH in the MSX dark sources is related to shocks, as in the case of SiO. This is further supported by the result that the CH3OH velocity widths of the MSX dark sources are larger than those of the MSX sources. In Figure 5(a), it can be seen that the CH3OH linewidth is narrower than the SiO linewidth. This is because CH3OH can be evaporated from icy grain mantles by moderate shocks (Bachiller & Pérez Gutiérrez 1997), whereas the SiO production requires stronger shocks to disrupt silicate grains (Mikami et al. 1992).

On the other hand, the CH3OH velocity widths are correlated with the H13CO+ velocity widths in the MSX sources, as mentioned in Section 3.2. This may be because CH3OH traces old shocks as in the case of SiO in the MSX sources. In addition, CH3OH in the MSX sources could be evaporated from grain mantles by radiation from protostars, as pointed out in Paper I. In fact, Beuther et al. (2007) and Leurini et al. (2007a) suggest that the CH3OH lines trace a rotating disk toward several HMPOs. However, the CH3OH emission from such hot regions is estimated to have a compact distribution of a few arcseconds (Leurini et al. 2007b) and is diluted by the telescope beam. Thus, the N(CH3OH)/N(H13CO+) ratio of the MSX sources is lower than that of the MSX dark sources.

4.1.3. C34S

The N(C34S)/N(H13CO+) ratio is also roughly correlated with the N(CH3OH)/N(H13CO+) ratio with a correlation coefficient of 0.58, as shown in Figure 8. This, along with the rough correlations between the C34S and CH3OH velocity widths (Figure 5), suggests that the origin of CS is similar to that of CH3OH. The origin of CS would be shock evaporation from grain mantles in the MSX dark sources, while it could be related to radiation from protostars in the MSX sources. It should be noted that the enhancement of the CS abundance as well as the large velocity width of its spectral lines is reported for the shocked region of L1157 (Mikami et al. 1992; Bachiller & Pérez Gutiérrez 1997).

However, the N(C34S)/N(H13CO+) ratio tends to be slightly higher toward the MSX sources than toward the MSX dark sources at a given value of N(CH3OH)/N(H13CO+). Marseille et al. (2008) also suggest that CS is more abundant in an MSX source than in an MSX dark source in the I18151-1208 region. This may be due to the difference in evaporation temperature between CS and CH3OH. Since the evaporation temperature of CS (∼30 K) is lower than that of CH3OH (∼100 K; Aikawa et al. 1997), CS can be abundant in a relatively large area by radiation heating as compared with CH3OH. Therefore, the beam filling factor of the C34S emission could be larger than that of CH3OH in the MSX sources. Although Beuther et al. (2008, 2009) suggest from higher resolution observations that the CS abundance decreases near protostars in HMPOs, such area is as small as a few arcsec. Hence, this effect can be ignored in our single-dish observation.

4.1.4. HN13C and CCH

As shown in Figure 8, the N(HN13C)/N(H13CO+) and N(CCH)/N(H13CO+) ratios are not well correlated with the N(CH3OH)/N(H13CO+) ratio, where the correlation coefficient is 0.40 and 0.29, respectively. In addition, no systematic difference can be seen between the MSX dark sources and the MSX sources. Since the HN13C and CCH velocity widths are as narrow as the H13CO+ velocity width, the HN13C and CCH emissions do not trace shocked regions, but come from quiescent dense gas. The absence of correlations with the CH3OH abundance implies that HN13C and CCH abundances in the clumps are not enhanced significantly by star formation activities.

Beuther et al. (2008) present that the distribution of CCH emission shows a small hole of a few arcsec around a hot core, and they suggest that CCH would decrease in the hot core phase. Although the CCH emission mainly traces dense gas as mentioned above, CCH may preferentially exist in the outer part of the clump, as Beuther et al. suggest. Thus, the CCH abundance in the envelope would not change significantly, even if the CCH abundance near protostars would decrease.

In addition, it is known that CCH can be abundant in a photodissociation region including relatively diffuse interclump medium irradiated by UV radiation (Fuente et al. 1993). Toward I18272-1217 MM1 and I18385-0512 MM1, the CCH emissions are relatively strong, as compared with the other emissions. Since the centimeter continuum emission is relatively strong toward I18272-1217 MM1 and I18385-0512 MM1, the CCH emission may trace such diffuse interclump medium in these sources.

4.1.5. OCS and SO

As shown in Figure 6, the OCS and SO emissions are weak toward all the MSX dark sources. The weak emissions may partly be due to the relatively high upper state energies of the OCS and SO lines (21.0 K and 19.3 K, respectively). Since the size of the hot regions would be as small as a few arcsec, as mentioned above, the beam dilution effect could be serious for these lines. Since OCS is thought to be a main reservoir of S atoms on the dust grains (van der Tak et al. 2003), OCS could be evaporated directly from dust grains by shocks and radiation heating. Thus, the origin of OCS might be similar to CH3OH.

The SO intensities of several MSX sources are clearly higher than those of the MSX dark sources. This may indicate that SO could efficiently form in a hot gas phase. van der Tak et al. (2003) also suggest by observations toward high-mass star-forming regions that the SO emission mainly comes from hot cores rather than from outflows. Their result is consistent with ours.

4.2. Possible Chemical Evolutionary Scenario

In this paper, we have shown that the chemical composition and the velocity width are different between the MSX dark sources and the MSX sources. It is likely that these differences reflect evolutionary sequences. In Figure 9, we present a schematic illustration summarizing our results.

Figure 9. Refer to the following caption and surrounding text.

Figure 9. Schematic illustration of an evolutionary scenario of a massive clump. Possible emitting regions of the molecular lines are indicated.

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In the MSX dark sources, dense gas still surrounds a protostar, and shocks occur by an outflow impact on it. The SiO emission would mainly come from such newly formed shocked regions. The CH3OH and C34S emissions also trace such regions. On the other hand, the H13CO+, HN13C, and CCH emission trace quiescent dense gas of the clump. Therefore, the velocity widths of the CH3OH and C34S lines are larger than those of the H13CO+, HN13C, and CCH lines.

We should note again that our observed MSX dark sources are rather active ones. We can expect that the SiO and CH3OH abundances are lower in younger sources. I18223-1243 MM3 might be an example of such a young clump, because its N(SiO)/N(H13CO+) and N(CH3OH)/N(H13CO+) abundance ratios are relatively low, although the CH3OH and C34S velocity widths are larger than the H13CO+ velocity width.

When the radiation from the protostar would become strong, the object can be identified as an MSX source. In this stage, CH3OH and CS will evaporate from grain mantles near the protostar by various protostellar activities including radiation heating. Consequently, the velocity widths of CH3OH and C34S become similar to those of the H13CO+, HN13C, and CCH emissions. In this stage, strong shocks may not occur frequently near the protostar because the outflow cavity has already grown up. Therefore, the SiO emission mostly represents relatively old shocks. The velocity width of old shocked gas would be as narrow as that of the ambient medium. When the protostar is more evolved, the shocked gas would disappear, and the dense gas surrounding the protostar will eventually be dissipated.

In the above scenario, the velocity widths of SiO, CH3OH, and C34S relative to that of H13CO+ as well as the N(SiO)/N(H13CO+) ratio seem to be sensitive to the evolutionary stages. On the basis of this scenario, we try to investigate the evolutionary stages of the four sources in a category of "Others" in our sample (Table 1). As shown in Figure 8, the N(SiO)/N(H13CO+) ratios of these sources are apparently intermediate between those of the MSX dark sources and the MSX sources. Therefore, they might be in intermediate stages between the MSX dark sources and the MSX sources. As mentioned earlier, the C34S velocity widths are different among the four others. Since the C34S line of G24.60+00.08 MM1 shows a broad feature like MSX dark sources, it may be the youngest among the four sources. On the other hand, G34.43+00.24 MM4 may be most evolved because it shows narrow C34S and SiO line shapes, just like the MSX sources.

We have revealed that the chemical compositions are different from source to source among massive clumps in spite of similar dust continuum intensities. In addition, we have demonstrated that a detailed investigation of physical and chemical evolution of massive clumps is certainly possible through molecular line observations even with single dish telescopes. In a future work, we are planning to provide a database of chemical compositions of many IRDCs by using a new wide-band observation system installed on the NRO 45 m telescope. Such a database will be most useful for future high-resolution observations with ALMA, SKA, and so on.

5. SUMMARY

We have conducted a survey of the CH3OH J = 2–1, SiO J = 2–1, C34S J = 2–1, H13CO+ J = 1–0, HN13C J = 1–0, CCH N = 1–0, OCS J = 8–7, and SO JN = 22–11 lines toward the 20 massive clumps including the MSX dark sources and the MSX sources. The main results are summarized as follows.

  • 1.  
    The N(SiO)/N(H13CO+) abundance ratio is enhanced in the MSX dark sources, as compared with the MSX sources. It is likely that the SiO emission of the MSX dark sources mainly traces newly formed shocks caused by an interaction between an outflow and an ambient gas, while the SiO emission of the MSX sources may come from relatively old shocks.
  • 2.  
    The abundance and the velocity width of CH3OH relative to those of H13CO+ are larger in the MSX dark sources than in the MSX sources. This indicates that the origin of CH3OH is related to shocks in the MSX dark sources caused by an interaction between an outflow and an ambient gas.
  • 3.  
    The C34S velocity width is also larger in the MSX dark sources than in the MSX sources, which would be related to the shocks. In contrast to SiO and CH3OH, the N(C34S)/N(H13CO+) ratio tends to be enhanced in the MSX sources. This may be because CS is evaporated in a relatively large area by radiation from protostars.
  • 4.  
    No systematic difference is found in the HN13C and CCH abundances between the MSX sources and the MSX dark sources. This suggests that they are not enhanced significantly after onset of star formation.
  • 5.  
    The SO abundance is higher toward several MSX sources than toward the MSX dark sources. The SO emission may trace hot regions.
  • 6.  
    The N(SiO)/N(H13CO+) abundance ratio as well as the velocity width ratios of the SiO, CH3OH, and C34S lines relative to that of the H13CO+ line can be used as an evolutionary indicator. They are generally larger in the MSX dark sources than in the MSX sources.

We are grateful to the NRO staff for excellent support in the 45 m observations. The 45 m radio telescope is operated by NRO, a branch of National Astronomical Observatory of Japan. We are grateful to Yuri Aikawa and Henrik Beuther for their helpful discussion. This study is supported by Grant-in-Aid from Ministry of Education, Culture, Sports, Science, and Technologies (21740144 and 21224002).

APPENDIX A: FITTING PROCEDURE OF THE CH3OH J = 2–1 LINES

The JK = 20–10 E, 20–10 A+, and 2−1–1−1 E lines of CH3OH overlap one another, as shown in Figure A1. Then, we fit the spectrum to the triple Gaussian function;

Equation (A1)

where i = 1, i = 2, and i = 3 correspond to JK = 20–10 E, 20–10 A+, and 2−1–1−1 E, respectively. Ti represents the peak temperature for the ith component, Vi the velocity offset from that of the 20–10 A+ line, VLSR the LSR velocity, and ΔV the common velocity width. Then, fitting parameters are Ti, VLSR, and ΔV. In Figure A1, we present an example of the fit. The results are listed in Table 6, where ΔV is presented in Table 3.

Figure A1. Refer to the following caption and surrounding text.

Figure A1. Example of fitting with a triple Gaussian function to the CH3OH JK = 20–10 E, 20–10 A+, and 2−1–1−1 E line.

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Table 6. Fitting Parameters for the CH3OH Linesa

Source T1 T2 T3 VLSR
  (K) (K) (K) (K km s−1)
MSX Dark Sources
G019.27+0.07 MM1 0.50 (0.03) 1.16 (0.04) 0.96 (0.04) 26.7 (0.1)
G022.35+00.41 MM1 0.37 (0.03) 1.47 (0.03) 1.25 (0.03) 52.5 (0.1)
G023.60+00.00 MM2 0.46 (0.03) 1.04 (0.04) 0.79 (0.04) 53.4 (0.1)
G034.43+00.24 MM3 0.50 (0.03) 1.55 (0.08) 1.14 (0.09) 61.0 (0.3)
I18151-1208 MM2 0.37 (0.02) 1.22 (0.03) 0.97 (0.03) 30.6 (0.1)
I18223-1243 MM3 0.17 (0.03) 0.82 (0.03) 0.64 (0.03) 45.5 (0.1)
I18337-0743 MM3 0.38 (0.03) 1.19 (0.04) 0.89 (0.04) 55.8 (0.1)
MSX Sources
G034.43+00.24 MM2 0.71 (0.04) 2.20 (0.06) 1.74 (0.06) 57.6 (0.1)
I18089-1732 MM1 0.52 (0.03) 1.25 (0.03) 0.97 (0.03) 32.7 (0.1)
I18151-1208 MM1 0.20 (0.03) 0.54 (0.03) 0.34 (0.03) 33.3 (0.1)
I18182-1433 MM1 0.48 (0.03) 1.23 (0.03) 0.95 (0.03) 59.8 (0.1)
I18223-1243 MM1 0.09 (0.03) 0.31 (0.03) 0.22 (0.03) 45.4 (0.2)
I18264-1152 MM1 0.54 (0.03) 2.07 (0.04) 1.58 (0.04) 43.2 (0.1)
I18272-1217 MM1 ... ... ... ...
I18337-0743 MM1 0.49 (0.04) 2.16 (0.04) 1.77 (0.04) 58.1 (0.1)
I18385-0512 MM1 ... ... ... ...
Others
G24.60+00.08 MM1 0.27 (0.02) 0.96 (0.03) 0.80 (0.03) 52.6 (0.1)
G034.43+00.24 MM1 1.20 (0.06) 3.18 (0.07) 2.64 (0.07) 57.8 (0.1)
G034.43+00.24 MM4 0.54 (0.03) 2.02 (0.04) 1.54 (0.04) 57.2 (0.1)
I18102-1800 MM1 0.41 (0.03) 1.43 (0.03) 1.06 (0.03) 21.6 (0.1)

Note. aThe numbers in parentheses represent the errors of one standard deviation.

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APPENDIX B: DERIVATION OF THE OPTICAL DEPTH OF CCH N = 1–0

The intensity ratio of the CCH N = 1–0, J = 3/2–1/2, F = 2–1, and CCH N = 1–0, J = 3/2–1/2, F = 1–0 lines should be 2.0 in the case of optically thin limit (e.g., Tucker et al. 1974). Thus, we can derive the optical depth of the CCH N = 1–0, J = 3/2–1/2, F = 2–1 line (τ2−1) from the observed intensity ratio by using the following equation:

Equation (B1)

where the excitation temperature is assumed to be the same for the two lines. The results are listed in Table 7.

Table 7. Peak Temperature and Optical Depth of the CCH Linea

Source T*a(F = 2–1) T*a(F = 1–0) τ
  (K) (K)  
MSX Dark Sources
G019.27+0.07 MM1 0.30 (0.02) 0.18 (0.02) 0.81+0.78−0.56
G022.35+00.41 MM1 0.29 (0.02) 0.17 (0.02) 0.70+0.80−0.57
G023.60+00.00 MM2 0.25 (0.02) 0.14 (0.01) 0.48+0.56−0.44
G034.43+00.24 MM3 0.58 (0.02) 0.30 (0.02) 0.14+0.34−0.14
I18151-1208 MM2 0.97 (0.02) 0.50 (0.02) 0.12+0.19−0.12
I18223-1243 MM3 0.70 (0.02) 0.37 (0.02) 0.23+0.28−0.23
I18337-0743 MM3 0.17 (0.01) 0.11 (0.01) 1.21+0.73−0.54
MSX Sources
G034.43+00.24 MM2 0.72 (0.02) 0.45 (0.02) 1.02+0.30−0.26
I18089-1732 MM1 0.85 (0.03) 0.57 (0.02) 1.42+0.33−0.28
I18151-1208 MM1 1.49 (0.03) 0.74 (0.03) <0.16
I18182-1433 MM1 0.86 (0.02) 0.41 (0.02) <0.03
I18223-1243 MM1 1.32 (0.03) 0.69 (0.02) 0.18+0.16−0.15
I18264-1152 MM1 1.48 (0.03) 0.71 (0.03) <0.03
I18272-1217 MM1 0.49 (0.02) 0.24 (0.02) <0.32
I18337-0743 MM1 0.84 (0.02) 0.50 (0.02) 0.77+0.24−0.22
I18385-0512 MM1 0.43 (0.02) 0.25 (0.02) 0.66+0.50−0.40
Others
G24.60+00.08 MM1 0.33 (0.02) 0.16 (0.01) <0.25
G034.43+00.24 MM1 0.80 (0.02) 0.45 (0.02) 0.50+0.25−0.22
G034.43+00.24 MM4 0.49 (0.02) 0.34 (0.02) 1.64+0.53−0.42
I18102-1800 MM1 0.61 (0.02) 0.34 (0.02) 0.46+0.33−0.28

Note. aThe numbers in parentheses represent the errors of one standard deviation.

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10.1088/0004-637X/714/2/1658
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