An overview of the J = 1-0
mapping results is shown in
Fig. 1, directly comparable to the sketch of optical emission.
More detailed maps of the southwestern and northeastern parts of the N 11
complex are shown in Figs. 2 and 3 respectively.
Kinematical information is represented by channel maps in Fig. 4
and position-velocity maps along selected cuts in Fig. 5. The
distribution of CO emission in the N 11 complex is remarkable. Using both
position and kinematical information, at least 29 well-defined individual
clouds can be identified. The actual number of clouds is higher than this.
For instance, the velocity widths of clouds 4, 16, 20, 23, and perhaps
cloud 10 as well, suggest that clouds with different velocities, but in
the same line of sight, are blended together. Moreover, in the sparsely
sampled parts of the map, clouds with relatively weak emission may have
escaped our attention. For instance, inspection of individual profiles
reveals that weak, but significant emission (typically
K,
)
is present at some
positions in the map. This is the case just outside the southwestern edge
of the "ring'' at positions (-10.7, -14.7) and (-13.3, -12), velocity
,
outside the southeastern edge at position
(4, -14.7), velocity
and inside the "ring'' at
(0, -6) with
.
In the "empty'' southeastern
part of the ring, very weak emission is likewise found at velocities
between 274 and 284
,
whereas stronger emission (
K) occurs in the gap between clouds 5 and 10, at velocities
of 267 and 280
.
Finally, extended weak emission appears to be
present around (-7, -9) with
.
All well-defined clouds and their observational properties are listed
in Table 1, which also identifies the corresponding IRAS infrared source
and radio continuum sources from the catalogues by Schwering & Israel
(1990) and Filipovic et al. (1996). For each cloud, we give the central
position and the parameters of the peak antenna temperature J = 1-0 and
J = 2-1
profiles. Clouds can readily be identified by
referring the position in Table 1 to Fig. 1.
The appearance of N 11 is rather different from that presented by
cloud complexes in quiescent, non-star-forming regions of the LMC,
such as the cloud complexes discussed in Paper VI (Kutner et al.
1997): compare in particular our Fig. 4 with their Fig. 4. In the
latter, long chains of individual bright clouds are connected
by continuous, relatively bright intercloud emission. The N 11 map
is dominated by discrete clouds. More extended, diffuse intercloud
emission is almost wholly absent, as already noted by Caldwell &
Kutner (1996). By summing emission from many
"empty'' positions, we have found that there is no diffuse emission
above
K anywhere in the southwestern part of
the N 11 complex (Fig. 2), so that the clouds in the "ring'' region
thus have a very high contrast with their surroundings. Some amount
of diffuse emission is present in the chain of clouds extending to the
northeast (cf. Fig. 3). We may quantify the lack of diffuse
emission by comparing the sum of the individual cloud CO luminosities in
Table 1 (
)
to
the independently determined integral CO luminosity from
the whole N 11 map (
). It thus appears that, overall, the identified
discrete CO clouds alone provide already 82% of the total CO
emission. As may be surmised from the above, the fractions are
different for the southwestern ring region and the northeastern chain.
For these map areas, we find values of 93% and 75% respectively.
This means that, in an absolute sense, the northeastern chain contains
twice as much diffuse CO as the ring region.
![]() |
Figure 3:
Detailed map of the integrated J = 1-0
![]() |
No. |
![]() |
![]() |
![]() |
![]() |
J = 1-0 | J = 2-1 | |
4 | 0.7 ![]() |
9.4 ![]() |
|
5 | 14.2 ![]() |
||
7 | 5.1 ![]() |
||
8 | 1.2 ![]() |
7.4 ![]() |
|
10 | 1.2 ![]() |
9.8 ![]() |
4.8 ![]() |
11 | 0.9 ![]() |
5.3 ![]() |
|
12 | 7.9 ![]() |
||
13 | 0.7 ![]() |
8.8 ![]() |
|
14 | 1.3 ![]() |
6.0 ![]() |
4.7 ![]() |
15 | 1.2 ![]() |
7.6 ![]() |
|
18 | 1.1 ![]() |
22.8 ![]() |
|
27 | 15.7 ![]() |
||
28 | 10.1 ![]() |
||
29 | 8.4 ![]() |
Notes: a average over cloud.
No | Luminosity | Mean | Virial | X |
![]() |
Radius | Mass | 1020 cm2 | |
![]() |
R pc | 104 ![]() |
![]() |
|
1 | 2705 | 10.6 | 1.6 | 3.8 |
2 | 2650 | 7.3 | 1.1 | 2.6 |
3 | 2725 | 11.3 | 2.0 | 4.6 |
4 | 10 470 | 11.2 | 7.6 | 4.6 |
5 | 3955 | 8.9 | 2.0 | 3.2 |
6 | 5790 | 19.9 | 2.6 | 2.9 |
7 | 3400 | <5 | <0.4 | <0.7 |
8 | 1335 | <5 | <0.7 | <3.4 |
9 | 1485 | 7.0 | 1.0 | 4.2 |
10 | 5720 | 7.4 | 5.4 | 5.9 |
11 | 2995 | 7.7 | 3.3 | 6.9 |
12 | 2560 | 7.4 | 3.0 | 7.4 |
13 | 2245 | <5 | <1.0 | <2.9 |
14 | 1565 | <5 | <1.7 | <6.8 |
15 | 9290 | 10.7 | 3.2 | 2.2 |
16 | 2890 | 7.7 | 5.4 | 11.8 |
17 | 1400 | 8.6 | 0.5 | 2.4 |
18 | 4385 | 8.5 | 2.7 | 3.9 |
19 | 2725 | 9.0 | 2.6 | 5.9 |
20 | 1190 | <5 | <7.2 | <38 |
21 | 1885 | 6.9 | 3.3 | 11.2 |
22 | 850 | 6.0 | 0.5 | 3.7 |
23 | 3505 | -- | -- | -- |
24 | 1660 | 8.3 | 1.7 | 6.3 |
25 | 510 | <5 | <1.0 | <12 |
26 | 1925 | 10.4 | 0.9 | 2.8 |
27 | 1970 | 6.1 | 1.6 | 5.0 |
28 | 3915 | 7.4 | 2.0 | 3.2 |
29 | 2615 | <5 | <1.1 | <2.6 |
![]() |
Figure 6:
Velocity-integrated J = 2-1
![]() ![]() ![]() |
![]() |
Figure 7:
Position-velocity maps through clouds depicted in
Fig. 6. Left: right-ascension cut at constant
declination through clouds 10 and 11, with contours at multiples of
![]() ![]() ![]() ![]() ![]() |
Although 22 out of 29 of the clouds listed in Table 1 are resolved,
virtually all of them have dimensions no more than a few times the size
of the J = 1-0
observing beam. The maps in Figs. 1
through 5 therefore do not provide much information on the
actual structure of individual clouds. In order to determine cloud CO
luminosities and mean radii, we made for each cloud a small map (not shown)
over the relevant range of positions and velocity. Cloud CO luminosities
were determined by integrating these maps. We verified that the results
were not significantly affected by the precise size and velocity limits
of the maps. Characteristic cloud dimensions were determined by dividing
the map integral by the map peak and taking the square root. The radii
thus obtained were then corrected for finite beamwidth, the beam FWHM
diameter of 43'' corresponding to a linear diameter of 11.2 pc.
The two times higher angular resolution of the J = 2-1
maps shown in
Figs. 6 and 7 does provide some structural information
at least for clouds 10, 11, 13, 14 and 15 in the relatively bright
northeastern segment of the ring. In all cases, the cloud structure
thus revealed is one of mostly low-brightness CO emission within the
confinements of the J = 1-0 source extent in which a few essentially
unresolved components are embedded. The overall extent of these compact
components is thus significantly less than 5 pc.
Although it is by no means certain that the clouds identified by us
are indeed virialized, we have used the data given in Tables 1 and 3
to calculate virial masses following:
In previous papers we have found that cloud size, linewidth, luminosity and virial mass appear to be related quantities, although the precise form of the relations is different for SMC (Rubio et al. 1993) and LMC (Garay et al. 2002). Using data from Tables 1 and 3, we have investigated these relations also for the clouds in the N 11 complex. Figure 8 we present the results, including the formal least-squares fits:
However, the relation between cloud virial mass and CO luminosity (right panel) seems better defined, with a
determination coefficient
.
We note that
the regression fit, shown in Fig. 8, has
a slope very similar to the one found by Garay et al. (2002)
for clouds in 30 Doradus and the surrounding LMC environment
(and rather different from the one obtained for SMC clouds by
Rubio et al. 1993). At the same time, for identical CO
luminosities cloud virial masses are systematically
in
the N 11 complex than in the Doradus clouds by a factor of 2.5.
Leaving aside any speculation as to the origin of these
differences, we feel confident to conclude that the N 11
cloud properties differ significantly from those studied at
other locations either within the LMC or the SMC.
We have determined J = 1-0
line ratios for half the
clouds listed in Table 1. These ratios were usually measured near
but not precisely at the integrated
peaks. Moreover, in
most cases the ratio was measured at various positions. The
intensity-weighted means of these measurements and their errors
are listed in Table 2. Individual values for this ratio (which
we will call the isotopical ratio) range from 5 to 23, with a mean
of about 10 (Table 2). Two similar determinations in the J = 2-1
transition yield a value of about 5.
For five clouds we could integrate the
emission in the
J = 1-0 and J = 2-1 transitions over identical areas, thus
obtaining the J = 2-1/J = 1-0 line ratio (i.e. the transitional
ratio) listed in Table 2 as "average over cloud''. for another
three clouds we mapped small crosses in the J = 2-1 transition,
allowing us to extrapolate to the larger J = 1-0 beam size.
The transitional ratios thus derived are typically 1.2. However,
the bright clouds 4 and 13 are exceptional in having the much
lower value of only 0.7.
We have run radiative transfer models
as described by Jansen (1995) and Jansen et al. (1994) in an attempt
to reproduce the observed ratios as a function of input parameters
such as molecular gas kinetic temperature ,
molecular
hydrogen gas density
and CO column density per unit
velocity
/dV. Although the models assume a homogeneous,
plane-parallel geometry, this is an acceptable approximation.
Because three model parameters are required,
the solutions are poorly constrained, except in the cases of clouds
10 and 14, where three line intensity ratios are available for
fitting. We find that cloud 10 is best fit by a moderately dense
(
), hot (
= 150 K) molecular cloud
with a CO column density
/dV =
and a surface filling factor of 0.04 (see also, for
instance, Rubio et al. 2000). In contrast,
the overall beam surface filling factor is about 0.25.
Although the model transitional ratio is 0.85 instead of
the observed value 1.2
0.2, the model isotopical ratios are
practically identical to those observed. Only one other model solution
comes close to the observed value. It provides a poorer fit and
requires very high densities (
)
and very low
column densities
/dV =
at
low temperatures (
= 10 K). As Cloud 10 is very closely
associated with the rich and young OB association LH 10 and the
bright HII region N 11B, we consider the parameters of the first
solution to be more likely correct.
However, it is unlikely that all of cloud 10 is both hot and dense.
Whether or not the cloud is virialized, we expect its mass not to
be very different from the value
given in Table 3. To heat all of that mass to a temperature of 150 K
is beyond the capacity of the OB association, even if a large fraction
of it is embedded and not yet properly identified. Rather, we suspect
that cloud 10 is characterized by a range of temperatures and
densities, with
emission preferentially dominated by the
presumably relatively small amounts of hot gas, while the
intensities are more susceptible to more widespread denser gas.
Although the present observations do not allow fitting of such a
multi-component model, future observations of higher
and
transitions will make this easily possible.
Clouds 14 and 15 are less closely associated with the OB association
LH 13 and the HII regions N 11C/N 11D. The model solution that
provides the best fit requires again moderate densities (
)
and moderate temperatures (
= 60 K), together
with a slightly lower column density
/dV =
and a surface filling factor of about 0.08. The overall
beam surface filling factor is of the order of 0.3. Other solutions
found, yielding higher temperatures at lower densities, and vice
versa, again provide poorer fits. The temperature and mass constraints
for Clouds 14 and 15 are not as stringent as those for Cloud 10, but
the same comment should also apply to them.
Finally, although the lack of information does not properly constrain possible solutions, the rather high J = 1-0 isotopical ratio of 23 for Cloud 18 does suggest a combination of relatively high densities and temperatures.
There are various ways in which to estimate the total molecular (
)
mass from CO observations. Unfortunately, it is doubtful which of these,
if any, is applicable to N 11. The presence of so many early-type
stars in the immediate vicinity of the molecular material leads one
to suspect that the resulting strong radiation fields have led to
considerable processing of the molecular interstellar medium in N 11.
The observations appear to bear this out: the lack of diffuse CO,
as well as the large and apparently intrinsic scatter in the log dV-log R and log
-log dV diagrams (Fig. 8),
the various manners in which the detected CO clouds are associated
with FIR dust emission (cf. Table 1) and the elevated temperatures
found above all suggest that in this complex CO has been subject to
different but considerable degrees of photo-processing and
photo-dissociation.
The kinematics of the clouds do not suggest regular rotation, or any other systematic movement, precluding a dynamical mass determination. For the same reason, it is very difficult to relate the present results to the overall structures such as shells etc that may have resulted from the interaction of the many OB stars in the region with the ambient interstellar medium. Obviously, the virial theorem cannot be applied to the cloud ensemble defining the ring, nor to that forming the northeastern ridge of clouds. The way in which the barely resolved J = 1-0 clouds break up in equally barely resolved J = 2-1 clouds also casts some doubt on the applicability of the virial theorem to the individual clouds, and Fig. 8 does not show a very tight relation between virial mass and CO luminosity. Finally, there is now ample evidence that the "standard'' CO-to-H2 conversion factor X that is often used to derive molecular hydrogen column densities from CO luminosities is not valid under the very circumstances pertaining to N 11: strong radiation fields and low metallicities (Cohen et al. 1988; Israel 1997; see also discussion in Johansson et al. 1998).
Comparison of the virial masses, corrected for a helium contribution
of 30% by mass, with the observed CO luminosity
supplies the mean CO-to-H2 conversion factor X, following:
These factors can also be compared to those determined independently
for the whole complex by Israel (1997, hereafter I97). From a
comparison of observed far-infrared, HI and CO intensities, i.e.
explicitly taking all HI in the nebular complex into account, he
finds X(N 11-ring) =
and
X(N11-northeast) =
.
As
discussed by Israel (2000), the conversion factor for whole complexes
is expected to be higher than that of the individual constituent CO
clouds. In the latter case, spatial volumes that contain abundant and
selfshielding
but have little or no CO left, are explicitly
excluded in the virial calculation. The result is thus biased to the
volumes least affected by photo-processing. Measurements of the whole
complex avoid such a bias.
The overall conversion factor for the northeast ridge is only 25%
higher than the mean for the individual clouds, hardly a significant
difference. Such a value, only a few times higher than the conversion
factor in the Solar Neighbourhood, is characteristic of quiescent
areas in the moderately low-metallicity LMC (cf. I97), and suggests
that relatively little processing has taken place in the ridge area.
The sum of the observed individual cloud masses in the ridge is
.
Assuming
no HI to be present in these clouds but correcting for helium,
we find from this a total molecular mass for the ridge clouds
.
Although
this is, strictly speaking, a lower limit because we did not fully
map the ridge area and additional clouds may have escaped attention,
we note that the more extended maps by Yamaguchi et al. (2001) suggest
that in fact only very little CO emission occurs outside the area
mapped by us.
The data tabulated by I97 imply a neutral hydrogen massa
,
presumably mostly between
the clouds, and a total molecular hydrogen mass
.
A mass
is unaccounted for by individual clouds,
which should represent molecular material distributed between the
CO clouds mapped and not directly observed. We have already found that
the total CO luminosity observed in the ridge is about a third higher than
the sum of the individual clouds. Thus, diffuse intercloud CO in the
ridge will have a luminosity
pc2, again a lower limit because of incomplete mapping.
The situation in the ring is different. The overall conversion factor
(I97) is
times higher than the mean value for the individual
clouds. The total CO emission is only a few per cent higher than
the cloud sum, leaving no more than
pc2 for the intercloud CO. The
mass contained
in the detected CO clouds is
,
again under the assumption that there is no atomic
hydrogen contribution to the virial mass. From I97 we find, however,
total ring-area masses
and
.
This result
therefore predicts the presence molecular hydrogen not sampled
by CO (
)
in amounts of more than twice that of atomic hydrogen. The ring
is thus a rather extreme photon-dominated region (PDR), and should
exhibit characteristic signposts such as strong [CI] and [CII] emission.
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