A&A 419, 999-1014 (2004)
DOI: 10.1051/0004-6361:20040087
T. Giannini1 - C. McCoey2 - A. Caratti o Garatti1,3 - B. Nisini1 - D. Lorenzetti1 - D. R. Flower2
1 - INAF-Osservatorio Astronomico di Roma, via Frascati 33,
00040 Monteporzio Catone,
Italy
2 -
Physics Department, The University, Durham DH1 3LE, UK
3 -
Università degli Studi "Tor Vergata'', via della Ricerca Scientifica
1, 00133 Roma, Italy
Received 16 July 2003 / Accepted 27 February 2004
Abstract
The complete near infrared (0.9-2.5 m) spectra in three
different star forming regions (HH24-26, HH72 and BHR71) are presented and
analyzed in the framework of shock excitation models. The spectra are
dominated by H2 rovibrational emission (vibrational state
,
excitation energy
K), while emission from ionized
material, recognizable from [Fe II] and [S II] lines, is significantly
fainter. The analysis of the H2 excitation diagrams points to the
existence of two different excitation regimes: whilst condensations
observed only in the infrared appear to have temperatures rarely exceeding
3000 K and can be modelled in the framework of steady-state C-shock
models, the infrared counterparts of Herbig Haro (HH) objects
exhibit a temperature stratification with components up to more than 5000 K. The H2 emission from representative HH objects (HH26A, HH72A
and HH320A) has been successfully modelled by planar J-shocks with
magnetic precursors, for which the main parameters (pre-shock density,
speed) are derived. However, these same models are unable to reproduce the
observed atomic and ionic emission, which probably arises from a
distinct and perhaps more embedded region with respect to that traced by
the H2. Some of the physical parameters of such regions (fractional
ionization, density) have been estimated in HH72, on the basis of the
observed ionic lines.
Key words: stars: circumstellar matter - infrared: ISM - ISM: Herbig-Haro objects - ISM: jets and outflows - shock waves
The physical effect exerted on the ambient medium by the impact of jets
from accreting protostars results in the formation of shock waves. The
compressed and heated gas radiates away the accumulated thermal energy
through the emission of ionic, atomic and molecular lines, in relative
proportions which depend on the structure of the shock wave. During the
gas cooling, a fundamental role is played by molecular hydrogen, whose
high abundance compensates the low transition rates due to its homonuclear
nature. In the near infrared, the association of H2 emission with knots
of shocked gas has been demonstrated by mapping at sub-arcsecond scale in
the -0 S(1) line at 2.122
m (e.g. Eislöffel 2000), and the
rovibrational lines are effective probes of the molecular gas at thousands
of kelvin, which is missed by optical observations. H2 line
intensities and intensity ratios are also extensively used to distinguish
between fluorescence and shock excitation as possible mechanisms at the
origin of the emission, since strong H2 lines with
in the 1.0-1.4
m range are expected if fluorescence is responsible for
the emission (Black
van Dishoeck 1987). It has proved more
difficult to derive the nature (C-ontinuous or J-ump type, e.g. Kaufman
Neufeld 1996;
Hollenbach
McKee 1989; Draine 1980) and the physical parameters of
the shock waves, such as the velocity, the preshock density, the strength
of the transverse magnetic field and the temperature of the neutral gas.
In the conventional scenario, C-type shocks can exist up to velocities
typically
50 km s-1, beyond which the H2 molecule is
collisionally dissociated and the kinetic temperature of the gas rapidly
increases, giving rise to a discontinuity in the shock parameters.
However, more recent models (e.g. Smith 1995; Le Bourlot et al. 2002;
Flower et al. 2003) have shown that H2 dissociation can be inhibited
over a wider range of shock parameters: from slow (
km s-1), partially dissociative J-type shocks, up to fast C-type shocks
travelling at 70-80 km s-1. From an observational point of view, the
presence of different shock components (J- or C-type) can be
demonstrated by the modifications induced in the H2 excitation diagram:
the lower post-shock densities attained in C-shocks result in a larger
departure from LTE conditions than in J-shocks of the same speed (Flower
et al. 2003). In order to probe such deviations, it is essential to
investigate spectroscopically the 1.0-1.4
m range, since several
H2 lines with different vibrational quantum number and of relatively
high excitation energy (>15 000 K) lie at these wavelengths. With the
aim of observing such lines, we have undertaken a spectroscopic survey
(from 0.9 to 2.5
m) of a sample of Herbig-Haro (HH) objects and H2jets, based on the observations gathered with the SOFI spectrometer at the
ESO-NTT. We have already reported the results of this survey regarding HH43, HH111, HH240/241 and HH120 (Giannini et al. 2002; Nisini et al.
2002, hereafter Papers I and II, respectively), showing that quite
different excitation conditions can occur in HH objects: while in HH43 the
bulk of the cooling occurs in H2 lines, the spectra of the other three
objects are dominated by iron lines. In HH43, the H2 emission has been
successfully fitted by means of high velocity, C-type shock models (Flower
et al. 2003), whereas, in the other three cases, the strong ionic emission
testifies in favour of a dissociative component in the shock structure.
Here we present the observations obtained in three other regions, namely
HH24-26, HH72 and HH320/321 (BHR71). All the spectra exhibit copious H2 rovibrational emission, together, in some cases, with a fainter
atomic and ionic component. Therefore, they represent valid tests
of the ability of current shock models to predict simultaneously molecular
and atomic/ionic emission and an opportunity to check the validity
of the underlying assumptions of the models.
The structure of the paper is the following: we present the targetted regions in Sect. 2 and then describe the observations and the results obtained (Sect. 3). In Sect. 4, we derive the physical parameters of the emitting gas and model the observed emission, assuming shock excitation. Section 5 summarizes our conclusions.
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Figure 1:
Positions of the SOFI slit (I to V) in the HH24-26 region
superimposed on the H2 2.12 ![]() ![]() ![]() ![]() ![]() |
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Located in the L1630 Orion dark cloud (
pc, Anthony-Twarog
1982), the HH24-26 region is an active site of star formation, rich in
young stellar objects in different evolutionary stages. Two low
luminosity, Class 0 protostars (André et al. 2000), HH24MMS (Chini et al. 1993,
46
06.7
,
10
40.8
,
l
= 205.49, b
=-14.57,
)
and HH25MMS (Bontemps et al. 1995,
= 05
46
06.7
,
13
24.7
,
l
= 205.53, b
= -14.60,
)
drive distinct compact jets, traced by means of
both the 2.12
m H2 line and CO mm transitions (Gibb
Davis
1998; Bontemps et al. 1996), while the Class I protostar HH26IR (Davis et al. 1997,
46
03.9
,
14
52.5
,
l
= 205.54,
b
= -14.62,
)
gives rise to a
more extended molecular outflow
(Gibb
Heaton 1993). Imaging in the 2.12
m H2 rovibrational
line (Davis et al. 1997, see Fig. 1) reveals a string of shocked H2knots along the axis of the HH25MMS and HH26IR outflows. Herbig-Haro
objects
(HH24, HH25 and HH26) are associated
with each of these three sources. Proper motions were measured in HH25 and 26 by Chrysostomou et al. (2000), who found velocities ranging from less
than 70 up to 200 km s-1; the lowest value pertains to HH26A, which
should be a stationary shock region, and the largest one to HH26C in the
working surface of a bow shock. Far infrared spectra of the region were
obtained by Benedettini et al. (2000), who interpreted the observed
emission (from [O I], CO, H2O and H2 lines) as due
to a mixture of both C- and J-type shocks. Recently, Fabry-Perot
observations have demonstrated the existence of elongated H2 emission,
on scales of a few arcsec, from HH26IR and HH25MMS, which appears
associated with the base of the larger scale jets (Davis et al. 2002).
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Figure 2:
Positions of the SOFI slit (I to IV) in the L1660 region (HH72)
superimposed on the H2 2.12 ![]() ![]() ![]() ![]() ![]() |
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Figure 3:
Positions of the SOFI slit (from I to III) in BHR71 superimposed
on the H2 2.12 ![]() ![]() ![]() ![]() |
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Figure 4:
Spectrum between 0.95 and 2.5 ![]() |
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Figure 5:
Spectrum between 0.95 and 2.5 ![]() |
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Figure 6:
Spectrum between 0.95 and 2.5 ![]() |
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The L1660 region is a bright-rimmed core illuminated by the young OB
cluster NGC 2362 in Vela (Reipurth
Graham 1988), at a distance of
1500 pc (Hilton
Lahulla 1995). An E-W, poorly collimated
outflow (Schwartz et al. 1988) is present in the region, possibly driven
by the intermediate luminosity IRAS source 07180-2356 (Reipurth et al. 1993,
20
10.3
,
02
24
,
l
= 237.52,
,
). Figure 2 shows the SOFI 2.12
m image of the region,
where, together with the chain of HH objects (HH72 A-C, Reipurth
Graham 1988), several pure H2 features are recognizable (HH72 D-Z). A
jet of a few arcseconds has been recently observed close by the infrared
source HH72-IRS (Davis et al. 2002, see Fig. 2).
The H2 1-0 S(1) 2.12 m line fluxes observed in HH24-26 and in
HH72 are systematically lower, by a factor between 1.5 and 10, than the
values derived from imaging by Davis et al. (1997). The discrepancies are
attributable to the spatial extent of the objects observed, relative to
our 1
slit width; this explanation is supported by the
fact that the largest differences occur in those knots, such as HH26D,
that we observed along their shortest axis (see Fig. 1).
From inspection of Tables 1a-1c, we see that, along the HH26 flow, copious H2 emission is detected only close to the driving source (HH26A and C), while in all the other knots faint and weakly excited H2 lines are revealed. The opposite situation exists along the HH72 jet (Tables 2a-2b), where the richest H2 spectra are emitted by the knots at the apex of the blueshifted lobe (HH72A and B). Only H2 emission has been detected toward the BHR71 jets (Tables 3a-3b). Particularly remarkable is the lack of the [C I] doublet, which, in addition to the present observations, has been detected in all the HH objects previously investigated (Papers I and II). We also note that, compared with the other Herbig-Haro objects in BHR71, HH321B has a significantly weaker spectrum, probably because the emission peak was badly covered by the slit.
To complement the SOFI observations, we obtained in April 2002 the 3-5 m
spectra of the HH72 and BHR71 regions with ISAAC at the VLT (Cuby et al.
2003). In this spectral range, several pure rotational lines of H2 with
high excitation energy (up to
40 000 K) are located, which can
be used to determine the density of the molecular gas (Giannini et al.
2001). Unfortunately, the poor atmospheric conditions prevented us to
obtain high quality data at wavelengths larger than 4
m, where both
the thermal emission and the presence of strong water absorption bands
critically affect the reliability of the observations. We used the
arcsec slit (
), pointing
at the Herbig-Haro objects 72 A/B (PA = 84
,
i.e. slit I in Fig. 2)
and 320A/B (PA = 320
,
i.e. slit I in Fig. 3). The observational strategy
and the procedure adopted for the data reduction are similar to those reported by
Giannini et al. (2001). We detected two H2 lines: the 1-0 O(5) at 3.235
m in HH72B
and the 1-0 S(13) at 3.847
m in HH72B and HH320A (Tables 2a, 3a). The
extracted spectra are shown in Fig. 7. The 1-0 O(5) line appears narrower
of about factor of 2 than the instrumental profile; however, since its trace
in the bidimensional image of the spectrum is clearly recognizable, we
consider the line to be a genuine detection. The estimated fluxes were used in
conjunction with the SOFI data. No intercalibration correction was
applied to the ISAAC and SOFI lines, but the consistency of these two data
sets is supported by the fact that the column densities of lines coming
from the same upper level are equal to within the error bars (see Sect. 4.2).
The line lists, reported in Tables 1-3, clearly suggest that some
differences in the H2 emission exist throughout all the observed knots.
In particular, lines coming from the highest excited levels ()
are observed mainly in condensations visible also in the optical (e.g.
HH26A/C, HH72A/B, HH320/321), while low excitation conditions are
recognizable, with few exceptions, in the other knots (e.g. HH25,
HH72E-Z). Since the most excited lines are located mainly in the blue
part of the spectrum (i.e. at wavelengths shorter than 1.4
m), their
absence in the pure infrared knots could be interpreted as being due to a
higher visual extinction, without necessarily implying lower excitation
conditions. To investigate this crucial point, we have firstly estimated
the visual extinction in the various knots by using pairs of transitions
coming from the same upper level, for which the difference between the
observed and the theoretical flux ratio is a function only of
(cf.
Gredel 1994). The accuracy of this method relies strongly on the presence
of pairs of bright lines at significantly different wavelengths which are
not affected severely by observational problems. In practice, sufficient
numbers of such pairs of lines are present in the spectra of only the
brightest, optical knots. For this reason, the values of
derived in
the brightest objects were applied also to the nearby knots, where
insufficient lines are present to allow a specific determination. Given the
large number of molecular hydrogen lines, the criteria cited above are
satisfied by several pairs of lines coming from the same upper level (e.g.
of the kind 2-0 S(i)/2-0 Q(i+2) or 3-1 S(i)/3-2 S(i)). By using all the
available ratios, we were able to estimate the visual extinction with an
uncertainty of 1-2 mag. Adopting the reddening law of Rieke & Lebofsky
(1985), we found
up to 8 mag in the HH24-26 and HH72 flows,
while the visual extinction in the BHR71 region is small (
mag),
however well compatible with the
values (<3 mag)
estimated towards the galactic plane direction (e.g. Hakkila et al. 1997).
The values of
for individual sources are given in Figs. 8-13.
These results indicate that the differential extinction only marginally
biases the observations in all the knots except those having
mag (HH25B,
HH72J-Z).
Thus the presence or absence of highly excited H2 lines in the spectra
reflects in almost all cases the excitation conditions of the molecular
gas. In this respect, the fact that we detect no lines
with
indicates that fluorescence mechanisms do not play an
important role in the excitation (Black
van Dishoeck 1987).
An independent determination of
could be obtained from the [Fe II] lines at 1.257 and 1.644
m. However, in our objects, these lines are
generally detected with a poor signal-to-noise ratio, with the only
exception being HH72A. For this object, we derive
mag, a value higher than the negligible
extinction indicated for this object by the H2 lines. The possible
implications of this result will be discussed below.
In order to derive an estimate of the temperature along the flows, we have
used the excitation diagrams (Boltzmann plots) for the H2 lines
(Figs. 8-13), plotting the extinction-corrected column densities of the
rovibrational levels, divided by the statistical weights, against their
excitation energies.
In each plot, lines coming from different vibrational
states (from
to
)
are depicted by different symbols. To
minimize the uncertainties, we considered only unblended lines with a
signal-to-noise ratio greater than 3. Any significant deviation of the ortho:para
ratio from its statistical value of 3 would be apparent as a
misalignment of the ortho and para data points in the rotation diagrams.
No such deviations are observed: see below and Figs. 8-13.
If the gas is excited at a
single temperature, a straight line can be fitted through the data
points: this seems to be the case only where lines with excitation
energies lower than typically 15 000 K are detected, i.e. in all the
molecular hydrogen condensations and few Herbig-Haro objects (such as
HH321B and HH25A). Here a single temperature typically between 2000 and 3000 K can account for the observed excitation diagrams.
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Figure 7: H2 lines observed with ISAAC in HH72B and HH320A. |
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Figure 8: Excitation diagram for HH26 A and B. Lines coming from different vibrational levels are indicated with different symbols: filled circles, open circles, filled triangles, open triangles, filled squares and open squares indicate lines coming from levels from 0 to 5, respectively. The straight line(s) represents the best fit(s) through the data, at the temperature(s) reported in top right angle. The derived value of the extinction is also indicated. |
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Figure 9: As in Fig. 8 for the pure H2 knots in the HH24-26 region. The two crosses in the HH25C panel indicate the positions which would correspond to the 3-1 S(5) and 4-2 S(5) lines by assuming the same ratios with the 1-0 S(1) line as in the HH26C case (see text). |
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Figure 10: As in Fig. 8 for HH72 A and B. |
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Figure 11: As in Fig. 8 for the pure H2 knots in the HH72 region. |
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Figure 12: As in Fig. 8 for HH 320A/B and HH321A/B. |
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Other Herbig-Haro objects (HH26A, HH72A/B, HH320A/B and HH321A) and HH26C, which show a richer H2 spectrum, deserve a more realistic approach, which consists of relaxing the assumption of a single excitation temperature and fitting the various vibrational series separately. Although the average temperature remains quite similar to that measured in the molecular condensations, deviations from the thermal equilibrium are evident, with a spread from 2000 K to more than 5000 K. Similar conditions have been found in two out of the four HH objects we investigated in previous studies, namely HH43 (Paper I) and HH120 (Paper II).
Since the lack of a temperature stratification is deduced only when
the highly excited lines
(with
3) remain undetected, it is crucial to understand whether,
in these cases, the observations reflect an intrinsic property
of the gas or is attributable to the instrumental detection limit.
In order to investigate this point, we have estimated the fluxes expected
for the lines, both from a single temperature gas and in the
case of
a temperature stratification. As a test case, we considered the spectrum
of HH25C, which is a bright knot with a negligible extinction,
observed in only
, 2 lines, which can be fitted by a single
temperature
2300 K (Fig. 9, middle right panel). By
extrapolating the straight line up to energies of
25 000 K, we can
evaluate the fluxes of the
, 4 lines that would be expected in
thermal equilibrium: we find that all the
, 4 lines are definitely
below the detection limit. We have estimated the fluxes of the same
lines, in case of a temperature stratification, by assuming that their
ratios with the 1-0 S(1) line are the same as those measured in HH26C (a
knot with brightness and extinction comparable to HH25C, but
showing a spectrum richer of
, 4 lines). In Fig. 9, the
two crosses indicate the corresponding column densities of the 3-1 S(5)
and 4-2 S(5) lines: both these points lie above the 3
detection limit. Thus we conclude that the absence of these lines in the
spectrum of HH25C points to excitation conditions different from HH26C.
This analysis has been repeated for other bright knots (such as HH72D
and knots 4 and 9 in BHR71), yielding the same conclusion as in the case
of HH25C. Thus temperatures rarely exceeding
3000 K appear to be a proper feature of the pure infrared condensations,
while in HH objects significant temperature gradients occur. This
tentative conclusion needs to be confirmed by enlarging the observational
database.
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Figure 13: As in Fig. 8 for the pure H2 knots in the BHR71 region. |
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As we have already pointed out, faint atomic and ionic lines are detected in only four of the objects investigated (HH24A, HH26A and HH72A/B). We first attempt to analyze such emission without making assumptions regarding the underlying excitation mechanism, using simple NLTE models of the equilibrium level populations. We then present the results obtained by modelling the same emission, assuming shock excitation (Sect. 4.4.6).
Following the procedure described in Paper II, we determine the electron
density from the [Fe II] 1.644 m/1.600
m ratio, obtaining
of
approximately
cm-3 for HH24A and HH72A, a value
which can be considered also as a 3
upper limit for HH26A. Since
all the transitions of [Fe II] detected come from levels with quite
similar excitation energies, their relative intensities are insensitive to
the temperature. However, some constraints on the conditions in the
ionized gas can be derived by using lines from different species, such as
the [S II] and the [N I] multiplets at 1.03
m and 1.04
m. In
practice, this can be done for HH72A, the only object where these lines
are all detected with a sufficiently high signal-to-noise ratio.
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Figure 14:
Top panel: [Fe II] 1.644 ![]() ![]() ![]() ![]() ![]() |
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From
the [Fe II] 1.644 m/[S II] 1.03
m ratio we derive the fraction of
iron
in the gas phase, a parameter regulated in HH objects by the shock
efficiency in destroying the cores of the dust grains in which most of the
iron is to be found (cf. May et al. 2000). To this end, we plot, in the
upper panel of Fig. 14, the expected
[Fe II] 1.644
m/[S II] 1.03
m ratio as a function of the
temperature, having fixed the electron density at the derived value of
cm-3. The hatched area refers to the HH72A observations,
corrected by
mag. We assume that all the sulphur is in
the gas phase and that both species are singly ionized, as suggested by the
absence from the spectra of transitions from any other ionization stage.
Then, the plotted ratio is a function only of the temperature and the
fraction f of iron in the gas phase. The observational data agree
with f values less than 0.4 for all the considered temperatures
(
2000 < T < 15 000 K); in particular, if T=10 000 K, we find
0.20 < f < 0.35. For comparison, the same analysis applied to HH240A, the
object in the survey with the
richest iron spectrum, gives
0.6 < f < 1, in substantial
agreement with the abundance estimated in Paper II by comparing with the
hydrogen recombination lines.
Once the iron abundance has been evaluated, it is possible to use the
[Fe II] 1.644 m/[N I] 1.04
m ratio to estimate the hydrogen
ionization fraction (
)
and hence the total density of the
ionized
medium (
). The dependence of the
above ratio on
assumes that nitrogen is at least partially ionized, as is observationally
testified by the frequent detection in HH objects of the [N II] optical
lines at 6548 and 6583 Å (e.g. Bally & Reipurth 2001). The considered
ratio is plotted in the lower panel of Fig. 14 for different values of
the parameter g, defined as the ratio between the iron abundance and
the fraction of neutral nitrogen.
If we take T=10 000 K, we derive
0.05 < g < 0.3, which, for
the estimated range of f, corresponds to
N0/N > 0.67.
Following the procedure described by Bacciotti & Eislöffel (1999) for
deriving the nitrogen ionization equilibrium,
N0/N > 0.67corresponds to
,
and to
cm-3. The same procedure applied to HH240A gives
,
in agreement with the quite high excitation/ionization conditions
derived for this object.
The main features and the methods used in the shock model computation are described by Le Bourlot et al. (2002) and Flower et al. (2003). Here, we summarize only those aspects most relevant to the present study. The code, MHD_VODE, simulates one-dimensional, planar, multi-fluid shock waves. It solves the magnetohydrodynamical equations for the three fluids (neutral, positively and negatively charged) in parallel with an extensive chemical network, which links 132 species by 917 reactions.
The manner in which the emission by molecular hydrogen is calculated is also described by Le Bourlot et al. (2002) and Flower et al. (2003). Briefly, the processes which populate and depopulate the rovibrational levels of H2 are: collisional excitation and de-excitation; spontaneous radiative decay; collisional dissociation and ionization; and reformation on grains, which occurs in the wake of the shock wave. The equations for the H2 level populations are solved in parallel with the chemical and dynamical conservation equations. This approach is essential to ensure the accuracy of the computed H2 column densities, because the level populations do not respond instantaneously to changes in the physical state of the gas. Radiative pumping of H2 was not taken into account and is considered to be unimportant, compared with collisional excitation, in the context of the models presented below and for reasons that will be given there.
In the presence of a transverse magnetic field, a "jump'' (J-) type shock wave will tend to evolve into a "continuous'' (C-) type shock wave in which, prior to the attainment of steady state, a J-type shock remains embedded (Pineau des Forêts et al. 1997; Smith & Mac Low 1997; Chièze et al. 1998). MHD_VODE can simulate not only steady state J- and C-type shock waves, but also J-type shocks with a magnetic precursor, as well as the equilibrium conditions of the preshock gas (see Flower et al. 2003).
In addition to being observable in rovibrational transitions of H2, HH outflows can be traced through the emission of CO and other molecules and of atoms and ions. In the context of the model, as the temperature and density of the gas increase, H2 is dissociated and H begins to be ionized. As a consequence, the contribution of radiative cooling by H2 decreases and that of other molecular and atomic species, such as H2O, CO, O, C, C+ and Fe+, assumes greater importance. MHD_VODE incorporates the cooling due to rovibrational transitions of molecules and electronic transitions of atoms, specifically C, N, O, Si, S, and of their ions, as well as Fe+. The strongest ionic/atomic lines observed are those of [Fe II] and [C I]; their predicted intensities are affected strongly by processes within the shock wave. In a C-type shock wave or a magnetic precursor to a J-type shock, the erosion of grains can occur owing to the streaming of charged grains through the neutral gas. At sufficiently high shock speeds, the (refractory) grain cores can be partially eroded, releasing elements such as Fe and C into the gas phase: see May et al. (2000). Neutral iron is ionized rapidly in the gas phase, predominantly through charge transfer reactions with ions, such as H3+ and H3O+, which have larger ionization potentials. Fe+ may then be excited collisionally and emit the [Fe II] forbidden line spectrum. The predictions of the model with regard to these two species are considered in Sect. 4.4.6 below, and information on the atomic data used in the model can be found in the Appendix.
Table 4: Parameters of shock excitation models.
It was found that, for HH72A, HH26A and HH320A, neither steady state C-type nor steady state J-type shocks (which are obtained when the magnetic field is sufficiently weak) could satisfactorily reproduce the observations. The former underestimated the column densities of the levels of high excitation, whereas the latter underestimated the column densities of the levels of low excitation. However, non-equilibrium models of J-shocks with magnetic precursors provided good fits to the H2 observations of these three HH objects. On the other hand, the excitation diagram of HH25C could be reproduced by a steady state C-type shock model. In this case, the introduction of a J-component resulted in the populations of levels of high excitation being overestimated.
The optimal values of the shock speed and preshock gas density (in the
range from 103 to 105 cm-3) were determined by comparing
the predicted H2 excitation diagram with the observations. The
relation
(cm-3)]0.5 was adopted as
defining the initial value of the magnetic induction. Two additional
parameters are the age of the shock wave, which determines the extent of
the magnetic precursor, and the strength of the ultraviolet radiation
field. The model parameters that produce optimal fits to the excitation
diagrams for each object are presented in Table 4. The entry in the final
column indicates whether the effects of an ultraviolet radiation field
(via photoionization processes) were included in the model. HH72A,
HH26A and HH25C are located in the vicinity of sources of ultraviolet
radiation, and, for these objects, we included
photoionization processes with rates corresponding to the mean
interstellar radiation field in the solar neighbourhood (Draine
1978). On the other hand, there appear to be no sources of ultraviolet
radiation nearby HH320A, and, in this case,
photoionization processes were neglected. It is perhaps
significant that the inclusion of a radiation field improved the fits to
the empirical excitation diagrams for HH72A, HH26A and HH25C but made worse
the fit for HH320A.
The rate of photodissociation of H2 by the mean interstellar radiation field is of the order of 10-11 s-1 (cf. Abgrall et al. 1992). The same process (of photon absorption) which gives rise to photodissociation also gives rise to H2 fluorescence through radiative cascade from the excited (optically pumped) electronic states to the rovibrational levels of the electronic ground state. Optical pumping followed by fluorescence is an order of magnitude more probable than optical pumping followed by dissociation of H2. Thus, the total rate of the fluorescence cascade is of the order of 10-10 s-1. On the other hand, any given rovibrational level of the electronic ground state receives only a fraction of the cascades. We take 10-11s-1 as an order of magnitude estimate of the rate of population of any given excited rovibrational state through the optical pumping by the unshielded mean interstellar radiation field. We shall now compare this rate with that of collisional excitation.
At kinetic temperatures of a few thousand kelvin, attained in the shock
wave, the rate coefficients for rovibrational excitation of H2 by H are
typically of the order of 10-12 cm-3 s-1 and exceed those
for excitation by He and H2 by more than a factor of 10 (cf. Le Bourlot
et al. 1999). Furthermore, the fractional abundance of H in the shock wave
becomes comparable with that of He, i.e. of the order of 0.1. In the
models considered below, the preshock gas density
cm-3. Thus, the rate of rovibrational excitation of H2 by H is of the order of 10-9 s-1 or greater. We conclude that the
inclusion of optical pumping would not have a significant effect on
computed column densities of the excited rovibrational levels of H2 and
hence on their comparison with the observations.
Low preshock gas densities result in low rates of collisional excitation
of H2 molecules, smaller excited state column densities and greater
departures of the level populations from LTE. For a given density, the
shock speed is the main factor determining the column densities: an
increase in the shock speed results in larger column densities. Indeed,
the model is so sensitive to the shock speed that a change of the order of
1 km s-1 in
can make a significant difference to the excitation
diagram. The age of the outflow affects differentially the population
densities of the more highly excited levels: the younger the object, the
closer is the shock wave to being J-type and the higher are the column
densities of the more highly excited rovibrational levels. Furthermore,
the populations of these levels tend to be closer to LTE. The presence of
a radiation field leads to an increase in the degree of ionization of the
gas and hence in the strength of the coupling between the neutral and the
charged fluids; there results a narrower shock wave.
The observations comprise emission lines from H2 levels of both ortho (J odd) and para (J even) symmetry and hence reflect the variation of the ortho:para ratio through the shock wave. In the hot gas produced by the shock wave, para-H2 is converted to ortho-H2 by nuclear spin changing reactions with H. As shown by Wilgenbus et al. (2000), the local ortho:para ratio increases from a low value in the cold preshock gas (assuming that it has become thermalized through proton transfer reactions with H+ and H3+) to a value of 3 immediately behind the shock wave. The ratio of the total column densities in the ortho and para levels, N(ortho)/N(para), lags behind the local value of the ratio of the number densities of the ortho and para levels. However, our observations do not yield N(ortho)/N(para), as the contributions from the levels of the vibrational ground state, whose populations become significant in the cooling flow, are not included. Rather, the observations (of excited vibrational levels) reflect the value of the ortho:para ratio in the region of the hot gas in which the corresponding levels are preferentially excited. Thus, we consider that any attempt to derive a unique "ortho:para ratio'' from our observations would be misguided. On the other hand, any systematic departure of the ortho:para ratio from its value in LTE would manifest itself as a downwards displacement of the ortho levels in the excitation diagram (cf. Wilgenbus et al. 2000); no such shift is discernible in the comparison with the models presented below.
![]() |
Figure 15: Velocity and temperature profiles of the model of HH72A. The velocity is expressed in the shock frame and the preshock gas is to the left. The J-shock discontinuity is evident in both the temperature and velocity profiles. |
Open with DEXTER |
![]() |
Figure 16: Models predictions for the excitation diagrams of HH72A, HH26A and HH320A. Different symbols distinguish transitions coming from different manifolds. |
Open with DEXTER |
The velocity and temperature profiles of the model for HH72A are
plotted against flow time,
,
in Fig. 15:
the time at which the J-type discontinuity occurs may be identified with
the age of the shock wave. The models of HH26A and HH320A exhibit
qualitatively similar velocity and temperature profiles, which will not be
shown.
In Fig. 16 (top panel) we show the excitation diagrams derived from the
model (open symbols) and the observations (corresponding filled symbols).
The observations extend up to approximately
K above
ground and include
,
2 and 3 vibrational levels.
At successive vibrational thresholds, the observational points do not
depart notably from the median curve, indicating that there is a high
degree of thermalization at the local temperature. Models with initial
densities less than 104 cm-3 yield lower column densities which
diverge more evidently from the median curve at each vibrational
threshold. Conversely, models with initial densities higher than 104 cm-3 produce level populations which are closer to LTE, but the
curvature of the Boltzmann plot is not consistent with that observed.
Similar conclusions were reached from the analysis of the spectra of both HH26A and HH320A.
The characteristic length of the shock wave is determined by the distance
over which the ion and neutral velocities differ. For HH72A, this length
is approximately
cm, which may be compared with the
observed dimension of the source,
cm (at a distance
of 1500 pc and for an angular size of 1.5 arcsec, as measured on the image
taken at the telescope). The same comparisons for HH26A and HH320A
produced similar levels of agreement.
The observed points in the H2 excitation diagram extend, in this
case, to almost
K and include levels of the first four
excited vibrational states: see Fig. 16, middle panel. The column
densities are larger than observed in HH72A, implying a higher shock
speed, and show a similar degree of departure from LTE. The higher shock
speed used for HH26A results in a higher rate of H2 cooling and so
the shock is narrower than HH72A; it is for this reason that the model of
HH26A has a smaller age than HH72A.
The model of HH26A yields column densities of levels with
which
exceed the observations beyond approximately 104 K (cf. Fig. 16);
this is symptomatic of a more general tendency of the models to
overestimate the populations of the levels in the
manifold. Such
a tendency may point to an overestimation of the rates of vibrationally
inelastic
collisions. The model of
HH26A has the highest shock speed of the three objects that we consider
and hence has the largest fractional abundance of H, owing to collisional
dissociation of H2. As the rate coefficients for vibrational
excitation of H2 by H are much larger than for excitation by He or H2, a
larger H abundance exacerbates the effect of any systematic
error in the H-H2 collisional rate coefficients. However, we stress
that there is no independent evidence to confirm the existence of such a
systematic error.
Levels of the first six vibrational states, with excitation energies
extending to over
K, are observed: see Fig. 16,
bottom panel. The column densities observed for two levels with
(
E = 20 857 K and
E = 23 070 K) fall significantly below the mean
curve in the excitation diagram. The level at
E = 20 857 K has been
observed twice, in two different transitions: one observation falls on the
median curve, while the other, as already stated, falls below it and out
of line with the remaining
levels. We believe that this
discrepancy arises from systematic errors (related to atmospheric
absorption) in the observations and that the misalignment of the
observational point at
E = 23 070 K level is attributable to a similar
effect. The absence of a radiation field in this model results in a wider
shock wave than is the case for the other objects and hence to a greater
shock age.
No atomic or ionic emission is observed towards the BHR71 region and the absence of both [Fe II] and [C I] lines, which were observed towards all other outflows considered in this paper and in Papers I and II, is particularly surprising; here we discuss why these lines are not observed.
Perhaps the most extreme possibility is that there is very little Fe and C
present in the gas phase of the BHR71 region because they are mainly in
solid (and, in the case of C, in molecular) form, which would imply that
the dust grains have undergone little erosion. Whilst such a situation
cannot be discounted by our observations, we consider that it is unlikely
because, according to our modelling results, the gas has been
subjected to a strong shock. Emission from [C I] and [Fe II] would not
be observed if C and Fe+ were ionized by collisions, photons or charge
transfer reactions; but it should be noted that we observe no lines of Fe2+ in this region. The energies required for ionization
of C and Fe+ (11.26 eV and 16.16 eV, respectively) are such that, if
collisional or photoionization is invoked, we should expect emission from
other ions (for example, [S II] and [N II]) that are not observed.
Charge transfer ionization of C to C+ is ineffective and Fe2+rapidily recombines via charge transfer recombination reactions with H
(Kingdon & Ferland 1996). For these reasons, we consider that
ionization is unlikely to be responsible for the absence of [C I] and [Fe II] emission. Collisional deexcitation of the lines could be
responsible for their relative weakness. The rate of electron collisional
deexcitation of the [Fe II] and [C I] lines is of order 10-7 and
10-9 cm3 s-1, respectively: by comparison, the radiative
decay rates are of order 10-3 s-1 for [Fe II] and 10-4 s-1 for [C I]. Therefore, in order for collisional deexcitation to
dominate radiative decay,
must be greater than 104 or
105 cm-3, respectively, which would imply that hydrogen is fully
ionized. An alternative and more probable explanation is that the atomic
and ionic emission arises in the apex of a bow shock or a reverse shock in
the jet. In either case, the region of atomic and ionic emission would be
small, and it is possible that the slits did not encompass fully the
emitting areas.
As noted in Sect. 4.2, HH25C is an object which is observed in , 2
lines, at excitation energies extending up to
K, beyond which we have only upper limits on the line intensities
and the column densities of the corresponding levels.
![]() |
Figure 17:
Excitation diagram of HH25C: the observational data are compared
with predictions from two different steady-state C-shock models (1 and 2)
whose parameters are listed in Table 4. The arrows indicate 3![]() |
Open with DEXTER |
We present two models of HH25C, whose parameters are given in Table 4.
Both the models are of C-type shocks in steady state, and the flow time
through the shock wave provides only a lower limit to its age. The models
are compared with the observations of HH25C in Fig. 17. Regarding the
levels which are definitely observed, with excitation energies less than
about
K, the model with the lower density (and
higher shock speed) provides perhaps a better fit: the column densities of
the
levels are overestimated and those of the
levels
are underestimated to a greater extent by the higher density (lower
velocity) model 2. On the other hand, the predictions of the higher
density model are more consistent with the observational upper limits at
excitation energies above
K. Straight line fits to
the theoretical data yield excitation temperatures of 2770 K for model 1
and 2130 K for model 2; the latter result is more consistent with the
value of
2300 K obtained by fitting to the observational data.
Emission lines of [Fe II] and [C I] were also observed towards HH72A and HH26A. For both objects, the intensities predicted by the models (which successfully reproduce the H2 excitation diagrams) are more than 2 orders of magnitude (in the case of [Fe II]) and 5 orders of magnitude (in the case of [C I]) smaller than are observed.
An important difference between the shock wave model and the NLTE model
used in Sect. 4.3 is that the shock model predicts a low ionization
fraction. For example, the ionization fraction within the shock wave model
of HH72A does not exceed about
.
This degree of
ionization is insufficient for electron collisions to play a significant
role. The excitation of Fe+ and of C occurs principally in collisions
with neutral perturbers, which are less effective than those with
electrons. For the rates of collisional excitation of [Fe II] by
electrons to be comparable with the rate of excitation by neutrals, the
ratio
.
In
order to enhance the computed [Fe II] line intensities to values
comparable with those observed requires
;
this may be compared with the upper limit
derived
in Sect. 4.3.
The fact that the models underestimate the [Fe II] and [C I] line intensities suggests that these forbidden lines are emitted from regions where the degrees of dissociation and ionization are much higher, which do not contribute significantly to the H2 line intensities. Such regions could be the apex of a bow shock (with the H2 emission being produced in the wings), a reverse shock in the jet, or photoionized gas. However, the last of these three possibilities would imply local sources of ultraviolet radiation, sufficiently hard and intense to photoionize hydrogen; we know of no observational evidence for the existence of such sources of radiation. Accordingly, we lean towards an explanation in terms of the collisional ionization of hydrogen, in high velocity J-type shocks. Indirect evidence that the [Fe II] and H2 emission lines do, indeed, arise in distinct regions is afforded by the difference in the values of the extinction which are derived from the respective line intensities (at least in the case of HH72A) and from the high values of the electron density derived from the [Fe II] lines. In future studies, we intend to address the issue of the origin the atomic and ionic forbidden lines in a more quantitative manner, within the framework of a shock model.
Acknowledgements
We thank the anonymous referee for a detailed and constructive report.
The rates of collisional and radiative transitions determined the Fe+level populations at each point in the model. The spontaneous radiative transition probabilities computed by Quinet et al. (1996) were adopted. Collisions with both neutral species and electrons were included; for the latter, we used the collision strengths of Zhang & Pradhan (1995). Regarding the neutral perturbers, we included collisions with the most abundant species, H2, H and He. However, we are not aware of any quantum mechanical calculations of cross sections for the electronic excitation of Fe+ by these perturbers. Accordingly, we estimated the rate coefficients using a simple classical approximation, which derives from the Langevin "orbiting'' model, adopting the polarizability and reduced mass appropriate to each perturber.
Assuming LS coupling (cf. Nussbaumer & Storey 1980), the conservation of the total electron spin implies that the spin state of Fe+ can be changed only by exchange of a bound and an incident electron with oppositely directed spins [if (weak) magnetic interactions are neglected]. Electron collisional excitation of the a4D term from the a6D ground term proceeds via this electron exchange mechanism. In collisions between Fe+ and H, a similar process of exchange can, in principle, take place, between one of the bound electrons of the ion and the bound electron of the hydrogen atom. In the case of collisions with He, on the other hand, the ground state is a singlet, and exchange with an electron of opposite spin implies a transition to a triplet state. As the lowest energy triplet state of He lies almost 20 eV above ground, such events will be extremely rare under the physical conditions that we are considering. Finally, ground state H2 is also a singlet, and the lowest energy triplet state is repulsive. Hence, transitions to the triplet state lead to dissociation of the molecule and require an energy input of more than 4.5 eV. We conclude that transitions involving a change of spin, including excitation of a4D from a6D, are induced at a significant rate only by collisions with electrons and H atoms.
Collisional and radiative transitions among the five energy levels of
neutral C which arise from the 3P, 1D and 1S terms were incorporated in the model. Following the same reasoning as
above, we should include all levels of C0 which contribute
significantly, by direct collisional excitation or cascade, to the rates
of population of the levels from which transitions are observed. The
uppermost 1S term has an energy of
K,
relative to ground. The 0.983
m and 0.985
m lines originate in
the 1D term, which has an energy of
K.
Population transfer in collisions with H (Launay & Roueff 1977), H2(Schröder et al. 1991), He (Staemmler & Flower 1991), and H+(Roueff & Le Bourlot 1990) was taken into account. The data pertaining to
electron collisions and also the radiative transition probabilities were
taken from the compilation of Mendoza (1983).
Term | ![]() ![]() |
![]() |
H2 lines | HH24 A | |
1-0 S(7) | 1.748 | 0.9![]() |
1-0 S(6) | 1.788 | 1.35![]() |
1-0 S(2) | 2.034 | 1.0![]() |
1-0 S(1) | 2.122 | 3.0![]() |
1-0 S(0) | 2.223 | 0.9![]() |
2-1 S(1) | 2.248 | 0.5![]() |
Atomic and Ionic lines | ||
[Ci]
![]() |
0.983 | 0.5![]() |
[Ci]
![]() |
0.985 | 1.0![]() |
[Feii]
![]() |
1.257 | 1.4![]() |
[Feii]
![]() |
1.321 | 0.5![]() |
[Feii]
![]() |
1.600 | 0.24![]() |
[Feii]
![]() |
1.644 | 1.3![]() |
Term | ![]() ![]() |
![]() |
|||
H2 lines | HH25 A | HH25B | HH25 C | HH25 D | |
1-0 S(9) | 1.688 | ![]() |
![]() |
3.6![]() |
![]() |
1-0 S(8) | 1.715 | ![]() |
![]() |
2.4![]() |
![]() |
1-0 S(7) | 1.748 | ![]() |
0.85![]() |
14.1![]() |
![]() |
1-0 S(6) | 1.788 | ![]() |
1.2![]() |
10.4![]() |
![]() |
1-0 S(3) | 1.958 | ![]() |
![]() |
36![]() |
![]() |
1-0 S(2) | 2.034 | 1.0![]() |
2.0![]() |
18.9![]() |
![]() |
2-1 S(3) | 2.073 | ![]() |
0.9![]() |
6.3![]() |
![]() |
1-0 S(1) | 2.122 | 2.7![]() |
6.07![]() |
48.0![]() |
1.0![]() |
2-1 S(2) | 2.154 | ![]() |
0.41![]() |
1.5![]() |
![]() |
1-0 S(0) | 2.223 | 0.9![]() |
1.9![]() |
10.8![]() |
![]() |
2-1 S(1) | 2.248 | ![]() |
1.1![]() |
6.1![]() |
![]() |
1-0 Q(1) | 2.407 | ![]() |
4.0![]() |
44![]() |
![]() |
1-0 Q(2) | 2.413 | ![]() |
2.7![]() |
20![]() |
![]() |
1-0 Q(3) | 2.424 | ![]() |
2.9![]() |
37![]() |
![]() |
1-0 Q(4) | 2.437 | ![]() |
7.7![]() |
18![]() |
![]() |
1-0 Q(5) | 2.455 | ![]() |
12.4![]() |
30![]() |
![]() |
Term | ![]() ![]() |
![]() |
|||
H2 lines | HH26 A | HH26 B | HH26 C | HH26 D | |
2-0 S(9) | 1.053 | 5.3![]() |
![]() |
4.7![]() |
![]() |
2-0 S(8) | 1.057 | 2.1![]() |
![]() |
![]() |
![]() |
2-0 S(7) | 1.064 | 5.4![]() |
![]() |
3.5![]() |
![]() |
2-0 S(6) | 1.073 | 3.0![]() |
![]() |
1.8![]() |
![]() |
2-0 S(5) | 1.085 | 7.0![]() |
![]() |
4.7![]() |
![]() |
2-0 S(4) | 1.100 | 3.9![]() |
![]() |
1.5![]() |
![]() |
2-0 S(3) | 1.117 | 4.1![]() |
![]() |
1.3![]() |
![]() |
3-1 S(9) | 1.122 | 1.7![]() |
![]() |
3.3![]() |
![]() |
3-1 S(8) | 1.124 | ![]() |
![]() |
1.4![]() |
![]() |
3-1 S(7) | 1.130 | 3.2![]() |
![]() |
3![]() |
![]() |
2-0 S(2)+3-1 S(6) | 1.138-1.140 | 6![]() |
![]() |
5![]() |
![]() |
3-1 S(5) | 1.152 | 3.9![]() |
![]() |
3.8![]() |
![]() |
2-0 S(1) | 1.162 | 4.7![]() |
![]() |
3.4![]() |
![]() |
3-1 S(4) | 1.167 | 2.8![]() |
![]() |
1.4![]() |
![]() |
3-1 S(3) | 1.186 | 3.6![]() |
![]() |
3.5![]() |
![]() |
2-0 S(0)+4-2 S(10) | 1.189-1.190 | 2![]() |
![]() |
8.0![]() |
![]() |
4-2 S(9)+4-2 S(8) | 1.196-1.199 | 1.0![]() |
![]() |
![]() |
![]() |
4-2 S(7)1 | 1.205 | 1.7![]() |
![]() |
1.1![]() |
![]() |
3-1 S(2) | 1.207 | 2.2![]() |
![]() |
![]() |
![]() |
4-2 S(6) | 1.214 | 1.1![]() |
![]() |
![]() |
![]() |
4-2 S(5) | 1.226 | 1.6![]() |
![]() |
1.6![]() |
![]() |
3-1 S(1) | 1.233 | 2.9![]() |
![]() |
2.5![]() |
![]() |
2-0 Q(1) | 1.238 | 3.8![]() |
![]() |
1.7![]() |
![]() |
2-0 Q(2)+4-2 S(4) | 1.242-1.242 | 1.9![]() |
![]() |
2.0![]() |
![]() |
2-0 Q(3) | 1.247 | 3.6![]() |
![]() |
2.4![]() |
![]() |
2-0 Q(4) | 1.254 | 1.0![]() |
![]() |
![]() |
![]() |
4-2 S(3)+3-1 S(0)+2-0 Q(5) | 1.261-1.262-1.263 | 6.1![]() |
![]() |
3.6![]() |
![]() |
2-0 Q(6) | 1.274 | 1.5![]() |
![]() |
1.1![]() |
![]() |
4-2 S(2)2 | 1.285 | 1.4![]() |
![]() |
![]() |
![]() |
2-0 Q(7) | 1.287 | 4.0![]() |
![]() |
1.4![]() |
![]() |
2-0 Q(8) | 1.302 | 1.0![]() |
![]() |
![]() |
![]() |
4-2 S(1) | 1.311 | 0.8![]() |
![]() |
![]() |
![]() |
2-0 Q(9) | 1.319 | 2.2![]() |
![]() |
![]() |
![]() |
3-1 Q(3) | 1.324 | 1.5![]() |
![]() |
![]() |
![]() |
3-1 Q(4)+2-0 O(3) | 1.333-1.335 | 3.9![]() |
![]() |
2.1![]() |
![]() |
3-1 Q(5)+4-2 S(0) | 1.342-1.342 | 2.3![]() |
![]() |
1.2![]() |
![]() |
3-1 O(5) | 1.522 | 1.7![]() |
![]() |
![]() |
![]() |
2-0 O(7) | 1.546 | 0.6![]() |
![]() |
![]() |
![]() |
2-0 O(8)+5-3 O(3) | 1.610-1.613 | 0.9![]() |
![]() |
![]() |
![]() |
1-0 S(11) | 1.650 | 0.7![]() |
![]() |
![]() |
![]() |
1-0 S(10) | 1.666 | 0.9![]() |
![]() |
![]() |
![]() |
1-0 S(9) | 1.688 | 4.4![]() |
![]() |
3.8![]() |
![]() |
1-0 S(8) | 1.715 | 2.5![]() |
1.2![]() |
2.5![]() |
![]() |
1-0 S(7) | 1.748 | 13.3![]() |
3![]() |
12.9![]() |
2.5![]() |
1-0 S(6) | 1.788 | 11.3![]() |
2.6![]() |
9.1![]() |
1.7![]() |
1-0 S(3) | 1.958 | 44![]() |
8![]() |
71![]() |
11![]() |
2-1 S(4) | 2.004 | 3.5![]() |
![]() |
1.9![]() |
![]() |
Term | ![]() ![]() |
![]() |
|||
H2 lines | HH26 A | HH 26 B | HH26 C | HH26 D | |
1-0 S(2) | 2.034 | 18.1![]() |
5![]() |
16.6![]() |
2.2![]() |
3-2 S(5) | 2.066 | 1.2![]() |
![]() |
![]() |
![]() |
2-1 S(3) | 2.073 | 7.1![]() |
2.1![]() |
4.9![]() |
![]() |
1-0 S(1) | 2.122 | 47.0![]() |
12.6![]() |
42.6![]() |
5.9![]() |
2-1 S(2) | 2.154 | 3.0![]() |
![]() |
2.1![]() |
![]() |
3-2 S(3) | 2.201 | 1.7![]() |
![]() |
1.5![]() |
![]() |
1-0 S(0) | 2.223 | 10.6![]() |
2.9![]() |
9.7![]() |
1.7![]() |
2-1 S(1) | 2.248 | 5.8![]() |
1.9![]() |
4.4![]() |
1.1![]() |
3-2 S(2) | 2.287 | 0.6![]() |
![]() |
![]() |
![]() |
4-3 S(3) | 2.344 | ![]() |
![]() |
0.7![]() |
![]() |
2-1 S(0) | 2.355 | 1.3![]() |
![]() |
![]() |
![]() |
3-2 S(1) | 2.386 | 2.2![]() |
![]() |
![]() |
![]() |
1-0 Q(1) | 2.407 | 27![]() |
8![]() |
34![]() |
4![]() |
1-0 Q(2) | 2.413 | 15![]() |
3![]() |
16![]() |
![]() |
1-0 Q(3) | 2.424 | 23![]() |
9![]() |
28![]() |
3![]() |
1-0 Q(4) | 2.437 | 15![]() |
6![]() |
14![]() |
![]() |
1-0 Q(5) | 2.455 | 16![]() |
11![]() |
![]() |
![]() |
1-0 Q(6) | 2.476 | 8![]() |
![]() |
![]() |
![]() |
1-0 Q(7) | 2.500 | 22![]() |
![]() |
![]() |
![]() |
Atomic and Ionic lines | |||||
[Ci]
![]() |
0.983 | 1.7![]() |
![]() |
![]() |
![]() |
[Ci]
![]() |
0.985 | 3.5![]() |
![]() |
![]() |
![]() |
[Sii]
![]() |
1.029 | 1.5![]() |
![]() |
![]() |
![]() |
[Sii]
![]() ![]() |
1.032-1.034 | 1.3![]() |
![]() |
![]() |
![]() |
[Feii]a
![]() |
1.257 | 1.0![]() |
![]() |
![]() |
![]() |
[Feii]
![]() |
1.644 | 1.3![]() |
![]() |
![]() |
![]() |
Term | ![]() ![]() |
![]() |
|
H2 lines | HH72 A | HH72 B | |
2-0 S(9) | 1.053 | 1.9![]() |
4![]() |
2-0 S(7) | 1.064 | 2.0![]() |
5![]() |
2-0 S(6) | 1.073 | ![]() |
3![]() |
2-0 S(5)b | 1.085 | 6.7![]() |
6.4![]() |
2-0 S(3) | 1.117 | ![]() |
4![]() |
3-1 S(9) | 1.122 | ![]() |
4![]() |
3-1 S(7) | 1.130 | ![]() |
6![]() |
2-0 S(2)+3-1 S(6) | 1.138-1.140 | ![]() |
3.2![]() |
3-1 S(5) | 1.152 | 1.1![]() |
4.1![]() |
2-0 S(1) | 1.162 | 1.7![]() |
![]() |
3-1 S(3) | 1.186 | 1.4![]() |
2.9![]() |
2-0 S(0)+4-2 S(10) | 1.189-1.190 | ![]() |
1.4![]() |
4-2 S(7) | 1.205 | ![]() |
1.1![]() |
3-1 S(2) | 1.207 | ![]() |
1.0![]() |
3-1 S(1) | 1.233 | 1.8![]() |
2.3![]() |
2-0 Q(1) | 1.238 | 1.2![]() |
2.0![]() |
2-0 Q(3) | 1.247 | 1.5![]() |
3.2![]() |
3-1 S(0)+2-0 Q(5) | 1.262-1.263 | 1.6![]() |
4.1![]() |
4-2 S(2)+2-0 Q(7) | 1.285-1.287 | 1.2![]() |
2.8![]() |
2-0 O(3) | 1.335 | 1.4![]() |
4![]() |
4-2 S(0) | 1.342 | 1.0![]() |
![]() |
1-0 S(9) | 1.688 | 2.7![]() |
3.6![]() |
1-0 S(8) | 1.715 | 1.6![]() |
1.9![]() |
1-0 S(7) | 1.748 | 7.5![]() |
9.0![]() |
1-0 S(6) | 1.788 | 4.4![]() |
7.5![]() |
1-0 S(3) | 1.958 | 30.3![]() |
84![]() |
2-1 S(4) | 2.004 | 1.9![]() |
![]() |
1-0 S(2) | 2.034 | 9.5![]() |
17.8![]() |
2-1 S(3) | 2.073 | 4.0![]() |
4.9![]() |
1-0 S(1) | 2.122 | 22.9![]() |
35.9![]() |
2-1 S(2) | 2.154 | 1.4![]() |
2.6![]() |
3-2 S(3) | 2.201 | 1.1![]() |
2.6![]() |
1-0 S(0) | 2.223 | 5.4![]() |
10.4![]() |
2-1 S(1) | 2.248 | 3.8![]() |
7.8![]() |
3-2 S(1) | 2.386 | 2.3![]() |
![]() |
1-0 Q(1) | 2.407 | 17![]() |
56![]() |
1-0 Q(2) | 2.413 | 7![]() |
25![]() |
1-0 Q(3) | 2.424 | 13![]() |
54![]() |
1-0 Q(4) | 2.437 | 7![]() |
![]() |
1-0 Q(5) | 2.455 | 9![]() |
![]() |
1-0 O(5) | 3.235 | ![]() |
12![]() |
0-0 S(13) | 3.847 | ![]() |
12![]() |
Atomic and Ionic lines | |||
[Ci]
![]() |
0.983 | 4![]() |
8![]() |
[Ci]
![]() |
0.985 | 7![]() |
16![]() |
[Sii]
![]() |
1.029 | 3.5![]() |
![]() |
[Sii]
![]() ![]() |
1.032 - 1.034 | 7.3![]() |
![]() |
[Ni]
![]() ![]() |
1.040 - 1.041 | 8![]() |
![]() |
Pa![]() |
1.094 | 1.3![]() |
![]() |
[Feii]a
![]() |
1.257 | 4.1![]() |
3.9![]() |
Pa![]() |
1.282 | 2.4![]() |
0.8![]() |
[Feii]
![]() |
1.321 | 2.5![]() |
![]() |
[Feii]
![]() |
1.328 | 0.8![]() |
![]() |
[Feii]
![]() |
1.534 | 1.8![]() |
![]() |
[Feii]
![]() |
1.600 | 1.0![]() |
![]() |
[Feii]
![]() |
1.644 | 4.7![]() |
3.1![]() |
Term | ![]() ![]() |
![]() |
||||
H2 lines | HH72 D | HH72 E | HH72 G | HH72 H | HH72 I | |
2-0 S(9) | 1.053 | 2.6![]() |
![]() |
![]() |
![]() |
![]() |
2-0 S(7) | 1.064 | 2.4![]() |
![]() |
![]() |
![]() |
![]() |
2-0 S(5) | 1.085 | 2.8![]() |
![]() |
![]() |
![]() |
![]() |
3-1 S(5) | 1.152 | 1.6![]() |
![]() |
![]() |
![]() |
![]() |
2-0 S(1) | 1.162 | 2.4![]() |
![]() |
![]() |
![]() |
![]() |
3-1 S(3) | 1.186 | 1.4![]() |
![]() |
![]() |
![]() |
![]() |
4-2 S(5) | 1.226 | 0.9![]() |
![]() |
![]() |
![]() |
![]() |
2-0 Q(1) | 1.238 | 13.5![]() |
![]() |
![]() |
![]() |
![]() |
2-0 Q(3) | 1.247 | 13.6![]() |
![]() |
![]() |
![]() |
![]() |
4-2 S(2)+2-0 Q(7) | 1.285-1.287 | 13.1![]() |
![]() |
![]() |
![]() |
![]() |
2-0 Q(9) | 1.319 | 18.1![]() |
![]() |
![]() |
![]() |
![]() |
1-0 S(9) | 1.688 | 2.4![]() |
![]() |
![]() |
![]() |
![]() |
1-0 S(8) | 1.715 | 1.2![]() |
![]() |
![]() |
![]() |
![]() |
1-0 S(7) | 1.748 | 7.1![]() |
3.9![]() |
1.6![]() |
1.9![]() |
![]() |
1-0 S(6) | 1.788 | 5.2![]() |
4.1![]() |
1.6![]() |
![]() |
![]() |
1-0 S(3) | 1.958 | 30![]() |
16![]() |
13![]() |
13.1![]() |
![]() |
2-1 S(4) | 2.004 | ![]() |
1.5![]() |
![]() |
![]() |
![]() |
1-0 S(2) | 2.034 | 8.7![]() |
8.7![]() |
3.9![]() |
3.8![]() |
![]() |
2-1 S(3) | 2.073 | 3.3![]() |
3.4![]() |
1.3![]() |
2.0![]() |
![]() |
1-0 S(1) | 2.122 | 20.1![]() |
16.8![]() |
9.3![]() |
8.1![]() |
3.0![]() |
2-1 S(2) | 2.154 | ![]() |
1.1![]() |
![]() |
![]() |
![]() |
1-0 S(0) | 2.223 | 5.2![]() |
4.4![]() |
![]() |
3.4![]() |
![]() |
2-1 S(1) | 2.248 | 5.2![]() |
3.3![]() |
1.7![]() |
2.6![]() |
![]() |
1-0 Q(1) | 2.407 | 15![]() |
20![]() |
9![]() |
13![]() |
![]() |
1-0 Q(2) | 2.413 | 6![]() |
12![]() |
![]() |
16![]() |
![]() |
1-0 Q(3) | 2.424 | 13![]() |
17![]() |
![]() |
![]() |
![]() |
1-0 Q(4) | 2.437 | 6![]() |
10![]() |
![]() |
![]() |
![]() |
1-0 Q(5) | 2.455 | 6![]() |
17![]() |
![]() |
![]() |
![]() |
Atomic and Ionic lines | ||||||
[Ni]
![]() ![]() |
1.040 -1.041 | 15.7![]() |
||||
[Feii]
![]() |
1.644 | 0.9![]() |
||||
H2 lines | HH72 J | HH72 K | HH72 L | HH72 Y | HH72 Z | |
2-0 S(7) |
1.064 | ![]() |
![]() |
6![]() |
![]() |
![]() |
2-0 S(5) | 1.085 | ![]() |
![]() |
5![]() |
![]() |
![]() |
2-0 Q(5) | 1.263 | ![]() |
![]() |
5![]() |
![]() |
![]() |
1-0 S(9) | 1.688 | ![]() |
![]() |
1.4![]() |
0.9![]() |
0.6![]() |
1-0 S(8) | 1.715 | ![]() |
![]() |
0.9![]() |
![]() |
![]() |
1-0 S(7) | 1.748 | 1.0![]() |
1.5![]() |
4.5![]() |
6.1![]() |
2.0![]() |
1-0 S(6) | 1.788 | 1.2![]() |
1.5![]() |
2.9![]() |
4.6![]() |
1.5![]() |
1-0 S(3) | 1.958 | 3.8![]() |
5![]() |
4![]() |
12![]() |
![]() |
2-1 S(4) | 2.004 | ![]() |
![]() |
8![]() |
![]() |
![]() |
1-0 S(2) | 2.034 | 2.9![]() |
4.3![]() |
12![]() |
13.9![]() |
3.4![]() |
2-1 S(3) | 2.073 | 0.9![]() |
1.3![]() |
3.3![]() |
5.1![]() |
1.9![]() |
1-0 S(1) | 2.122 | 7.2![]() |
9.1![]() |
28.4![]() |
34.3![]() |
6.5![]() |
2-1 S(2) | 2.154 | ![]() |
![]() |
1.9![]() |
2.2![]() |
![]() |
1-0 S(0) | 2.223 | 2.2![]() |
![]() |
8.0![]() |
10.2![]() |
2.5![]() |
2-1 S(1) | 2.248 | ![]() |
2.0![]() |
5.3![]() |
6.1![]() |
1.7![]() |
1-0 Q(1) | 2.407 | 9![]() |
8![]() |
24![]() |
39![]() |
![]() |
1-0 Q(2) | 2.413 | ![]() |
![]() |
11![]() |
18![]() |
![]() |
1-0 Q(3) | 2.424 | 9![]() |
12![]() |
33![]() |
39![]() |
![]() |
1-0 Q(4) | 2.437 | ![]() |
7![]() |
18![]() |
![]() |
![]() |
1-0 Q(5) | 2.455 | ![]() |
10![]() |
40![]() |
48![]() |
![]() |
Term | ![]() ![]() |
![]() |
|||
H2 Lines | HH320 A | HH320 B | HH321 A | HH321 B | |
2-0 S(9) | 1.053 | 19![]() |
10![]() |
5![]() |
![]() |
2-0 S(8) | 1.057 | 8![]() |
6![]() |
![]() |
![]() |
2-0 S(7) | 1.064 | 10![]() |
13![]() |
12.9![]() |
![]() |
2-0 S(6) | 1.073 | 9![]() |
7![]() |
5.2![]() |
![]() |
2-0 S(5) | 1.085 | 24![]() |
17.9![]() |
20.3![]() |
![]() |
2-0 S(4) | 1.100 | 11.1![]() |
7.3![]() |
6![]() |
![]() |
2-0 S(3) | 1.117 | 18![]() |
15.2![]() |
21![]() |
![]() |
3-1 S(9) | 1.122 | 13![]() |
7![]() |
![]() |
![]() |
3-1 S(7) | 1.130 | 6![]() |
7.3![]() |
![]() |
![]() |
2-0 S(2)+3-1 S(6) | 1.138-1.140 | 21![]() |
10.0![]() |
9.4![]() |
![]() |
3-1 S(5) | 1.152 | 20![]() |
11.6![]() |
11.3![]() |
![]() |
2-0 S(1) | 1.162 | 18![]() |
15![]() |
16.9![]() |
![]() |
3-1 S(4) | 1.167 | 8![]() |
4.2![]() |
3.0![]() |
![]() |
3-1 S(3) | 1.186 | 13.7![]() |
8.0![]() |
8.8![]() |
![]() |
2-0 S(0)+4-2 S(10) | 1.189-1.190 | 5.3![]() |
![]() |
2.8![]() |
![]() |
4-2 S(9)+4-2 S(8) | 1.196-1.199 | 5![]() |
![]() |
![]() |
![]() |
4-2 S(7)+3-1 S(2) | 1.205-1.207 | 6![]() |
7![]() |
3.5![]() |
![]() |
4-2 S(5) | 1.226 | 10![]() |
6![]() |
5![]() |
![]() |
3-1 S(1) | 1.233 | 9![]() |
7.7![]() |
5.6![]() |
![]() |
2-0 Q(1) | 1.238 | 9![]() |
8.0![]() |
8.8![]() |
![]() |
2-0 Q(2)+4-2 S(4) | 1.242-1.242 | 5![]() |
5.0![]() |
4.4![]() |
![]() |
2-0 Q(3) | 1.247 | 10![]() |
7.6![]() |
9.5![]() |
![]() |
2-0 Q(4) | 1.254 | 5.8![]() |
2.6![]() |
3.8![]() |
![]() |
4-2 S(3)+3-1 S(0)1 | 1.261-1.262 | 16![]() |
5.9![]() |
13![]() |
![]() |
2-0 Q(5) | 1.263 | ![]() |
10![]() |
![]() |
![]() |
2-0 Q(6) | 1.274 | ![]() |
2.2![]() |
![]() |
![]() |
4-2 S(2)+2-0 Q(7) | 1.285-1.287 | 8![]() |
6![]() |
9.0![]() |
![]() |
2-0 Q(8) | 1.302 | 4.1![]() |
![]() |
1.8![]() |
![]() |
4-2 S(1) | 1.311 | 6.5![]() |
3.7![]() |
3.9![]() |
![]() |
3-1 Q(1) | 1.314 | ![]() |
![]() |
4.1![]() |
![]() |
2-0 Q(9) | 1.319 | 7![]() |
2.5![]() |
5.0![]() |
![]() |
3-1 Q(3) | 1.324 | 5.2![]() |
4![]() |
![]() |
![]() |
3-1 Q(4)+2-0 O(3) | 1.333-1.335 | 8.3![]() |
6.5![]() |
7.1![]() |
![]() |
3-1 Q(5)+4-2 S(0) | 1.342-1.342 | 9![]() |
5.1![]() |
4.3![]() |
![]() |
5-3 S(3) | 1.347 | 4.6![]() |
1.9![]() |
1.9![]() |
![]() |
4-2 Q(5)+2-0 O(5) | 1.429-1.432 | 7![]() |
7![]() |
![]() |
![]() |
3-1 Q(11) | 1.448 | ![]() |
3.3![]() |
![]() |
![]() |
5-3 Q(2)+4-2 Q(9) | 1.498-1.499 | ![]() |
![]() |
1.7![]() |
![]() |
3-1 O(5) | 1.522 | 4.1![]() |
5![]() |
6![]() |
![]() |
2-0 O(7) | 1.546 | 2.7![]() |
![]() |
3.1![]() |
![]() |
5-3 O(2)+5-3 Q(7) | 1.561+1.563 | ![]() |
![]() |
1.4![]() |
![]() |
2-0 O(8)+5-3 O(3) | 1.610-1.613 | ![]() |
![]() |
3.1![]() |
![]() |
4-2 O(5) | 1.622 | ![]() |
![]() |
2.8![]() |
![]() |
3-1 O(7) | 1.645 | 3![]() |
4![]() |
6![]() |
![]() |
1-0 S(11) | 1.650 | 4![]() |
![]() |
2.9![]() |
![]() |
1-0 S(10)2 | 1.666 | 2.5![]() |
![]() |
9![]() |
![]() |
1-0 S(9) | 1.688 | 13.2![]() |
9.8![]() |
19![]() |
![]() |
1-0 S(8) | 1.715 | 10![]() |
6![]() |
11![]() |
![]() |
1-0 S(7) | 1.748 | 47![]() |
32![]() |
54.9![]() |
4![]() |
1-0 S(6) | 1.788 | 31![]() |
21![]() |
41.9![]() |
![]() |
1-0 S(3) | 1.958 | 99![]() |
78![]() |
150![]() |
24![]() |
2-1 S(4) | 2.004 | 7.7![]() |
7![]() |
12![]() |
4![]() |
3-2 S(6) | 2.013 | 1.3![]() |
![]() |
![]() |
![]() |
1-0 S(2) | 2.034 | 48![]() |
39![]() |
74![]() |
10![]() |
3-2 S(5) | 2.066 | 2.5![]() |
2.7![]() |
4![]() |
![]() |
2-1 S(3) | 2.073 | 21.8![]() |
13.9![]() |
33![]() |
![]() |
1-0 S(1) | 2.122 | 125![]() |
98![]() |
212![]() |
35![]() |
Term | ![]() ![]() |
![]() |
|||
H2 Lines | HH320 A | HH320 B | HH321 A | HH321 B | |
2-1 S(2) | 2.154 | 7.9![]() |
5.4![]() |
15![]() |
![]() |
3-2 S(3) | 2.201 | 4.8![]() |
3.6![]() |
6.8![]() |
![]() |
1-0 S(0) | 2.223 | 29![]() |
22![]() |
48![]() |
10![]() |
2-1 S(1) | 2.248 | 14![]() |
11.4![]() |
22![]() |
![]() |
2-1 S(0) | 2.355 | 6![]() |
4![]() |
13![]() |
![]() |
3-2 S(1) | 2.386 | ![]() |
![]() |
3![]() |
![]() |
1-0 Q(1) | 2.407 | 83![]() |
79![]() |
148![]() |
40![]() |
1-0 Q(2) | 2.413 | 41![]() |
36![]() |
73![]() |
17![]() |
1-0 Q(3) | 2.424 | 95![]() |
80![]() |
179![]() |
43![]() |
1-0 Q(4) | 2.437 | 38![]() |
31![]() |
66![]() |
![]() |
1-0 Q(5) | 2.455 | 43![]() |
33![]() |
85![]() |
![]() |
1-0 Q(6) | 2.476 | 23![]() |
![]() |
40![]() |
![]() |
1-0 Q(7) | 2.500 | 40![]() |
![]() |
47![]() |
![]() |
0-0 S(13) | 3.847 | 29![]() |
![]() |
![]() |
![]() |
Term | ![]() ![]() |
![]() |
||||
H2 Lines | KNOT 1 | KNOT 2 | KNOT3 | KNOT 4 | KNOT 5 | |
2-0 S(9) | 1.053 | ![]() |
![]() |
![]() |
7![]() |
![]() |
2-0 S(7) | 1.064 | ![]() |
![]() |
5![]() |
10![]() |
![]() |
2-0 S(6) | 1.073 | ![]() |
![]() |
![]() |
5![]() |
![]() |
2-0 S(5) | 1.085 | ![]() |
![]() |
8![]() |
11![]() |
![]() |
2-0 S(4) | 1.100 | ![]() |
![]() |
![]() |
4![]() |
![]() |
2-0 S(3) | 1.117 | ![]() |
![]() |
7![]() |
10![]() |
![]() |
2-0 S(2)+3-1 S(6) | 1.138-1.140 | ![]() |
![]() |
7![]() |
8![]() |
![]() |
3-1 S(5) | 1.152 | ![]() |
![]() |
6![]() |
8![]() |
![]() |
2-0 S(1) | 1.162 | ![]() |
![]() |
8![]() |
11![]() |
![]() |
3-1 S(3) | 1.186 | ![]() |
![]() |
![]() |
7![]() |
![]() |
2-0 S(0) | 1.189 | ![]() |
![]() |
![]() |
4![]() |
![]() |
3-1 S(1) | 1.233 | ![]() |
![]() |
![]() |
3![]() |
![]() |
2-0 Q(1) | 1.238 | ![]() |
![]() |
5![]() |
5![]() |
![]() |
2-0 Q(3) | 1.247 | ![]() |
![]() |
6![]() |
7![]() |
![]() |
2-0 Q(5) | 1.263 | ![]() |
![]() |
4![]() |
6![]() |
![]() |
2-0 Q(6) | 1.274 | ![]() |
![]() |
![]() |
4![]() |
![]() |
4-2 S(2)+2-0 Q(7) | 1.285-1.287 | ![]() |
![]() |
![]() |
5![]() |
![]() |
3-1 Q(3) | 1.324 | ![]() |
![]() |
![]() |
3![]() |
![]() |
3-1 Q(4)+2-0 O(3) | 1.333-1.335 | ![]() |
![]() |
5![]() |
3![]() |
![]() |
1-0 S(9) | 1.688 | ![]() |
![]() |
2.9![]() |
3.4![]() |
![]() |
1-0 S(8) | 1.715 | ![]() |
![]() |
![]() |
![]() |
![]() |
1-0 S(7) | 1.748 | 7![]() |
7.2![]() |
15![]() |
17![]() |
7![]() |
1-0 S(6) | 1.788 | 7![]() |
3.4![]() |
11![]() |
13![]() |
5![]() |
1-0 S(3) | 1.958 | 32![]() |
15![]() |
59.1![]() |
58![]() |
12![]() |
2-1 S(4) | 2.004 | 6![]() |
![]() |
![]() |
![]() |
![]() |
1-0 S(2) | 2.034 | 11.4![]() |
10![]() |
24![]() |
27![]() |
10![]() |
2-1 S(3) | 2.073 | ![]() |
4.2![]() |
5![]() |
6![]() |
5![]() |
1-0 S(1) | 2.122 | 29.8![]() |
21.4![]() |
60![]() |
65![]() |
25.8![]() |
2-1 S(2) | 2.154 | ![]() |
![]() |
![]() |
![]() |
![]() |
1-0 S(0) | 2.223 | 9.2![]() |
7![]() |
15![]() |
13.7![]() |
7![]() |
2-1 S(1) | 2.248 | ![]() |
![]() |
7![]() |
7.7![]() |
4![]() |
1-0 Q(1) | 2.407 | 28![]() |
19![]() |
57![]() |
50![]() |
17![]() |
1-0 Q(2) | 2.413 | 15![]() |
6![]() |
24![]() |
17![]() |
7![]() |
1-0 Q(3) | 2.424 | 26![]() |
17![]() |
53![]() |
47![]() |
20![]() |
1-0 Q(4) | 2.437 | ![]() |
7![]() |
22![]() |
18![]() |
9![]() |
1-0 Q(5) | 2.455 | ![]() |
![]() |
13![]() |
13![]() |
12![]() |
Term | ![]() ![]() |
![]() |
||||
H2 Lines | KNOT 6 | KNOT 7 | KNOT8 | KNOT 9 | IRS1 | |
2-0 S(9) | 1.053 | 6![]() |
![]() |
![]() |
10![]() |
![]() |
2-0 S(7) | 1.064 | 8![]() |
![]() |
![]() |
8![]() |
![]() |
2-0 S(6) | 1.073 | 5![]() |
![]() |
![]() |
3![]() |
![]() |
2-0 S(5) | 1.085 | 8![]() |
![]() |
9![]() |
10![]() |
![]() |
2-0 S(3) | 1.117 | 7![]() |
![]() |
![]() |
7![]() |
![]() |
3-1 S(9) | 1.122 | 7![]() |
![]() |
![]() |
![]() |
![]() |
3-1 S(7) | 1.130 | 7![]() |
![]() |
![]() |
![]() |
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2-0 S(2)+3-1 S(6) | 1.138-1.140 | 6![]() |
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6![]() |
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3-1 S(5) | 1.152 | 4![]() |
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5![]() |
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2-0 S(1) | 1.162 | 7![]() |
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7![]() |
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3-1 S(3) | 1.186 | ![]() |
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5![]() |
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2-0 S(0) | 1.189 | 6![]() |
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4-2 S(5) | 1.226 | 5![]() |
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3-1 S(1) | 1.233 | 6![]() |
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2-0 Q(1) | 1.238 | 6![]() |
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5![]() |
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2-0 Q(3) | 1.247 | 6![]() |
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6![]() |
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2-0 Q(5) | 1.263 | 5![]() |
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6![]() |
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2-0 Q(8) | 1.302 | 3![]() |
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1-0 S(9) | 1.688 | 18![]() |
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6![]() |
8![]() |
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1-0 S(8) | 1.715 | ![]() |
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5![]() |
6![]() |
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1-0 S(7) | 1.748 | 34![]() |
9![]() |
20![]() |
17![]() |
4![]() |
1-0 S(6) | 1.788 | 31![]() |
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12![]() |
11.2![]() |
5![]() |
1-0 S(3) | 1.958 | 97![]() |
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17![]() |
8![]() |
24![]() |
2-1 S(4) | 2.004 | 15![]() |
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7![]() |
4![]() |
1-0 S(2) | 2.034 | 44![]() |
11![]() |
13![]() |
15![]() |
11![]() |
2-1 S(3) | 2.073 | 30![]() |
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9![]() |
11![]() |
7![]() |
1-0 S(1) | 2.122 | 109![]() |
28.4![]() |
35![]() |
33.6![]() |
35![]() |
2-1 S(2) | 2.154 | 12![]() |
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1-0 S(0) | 2.223 | 25![]() |
7.1![]() |
9![]() |
8![]() |
10![]() |
2-1 S(1) | 2.248 | 15![]() |
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5.5![]() |
4.6![]() |
5.7![]() |
1-0 Q(1) | 2.407 | 85![]() |
18![]() |
20![]() |
21![]() |
39![]() |
1-0 Q(2) | 2.413 | 33![]() |
7![]() |
10![]() |
15![]() |
17![]() |
1-0 Q(3) | 2.424 | 80![]() |
21![]() |
27![]() |
28![]() |
43![]() |
1-0 Q(4) | 2.437 | 20![]() |
16![]() |
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24![]() |
1-0 Q(5) | 2.455 | 35![]() |
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Atomic and Ionic lines | ||||||
[Feii]
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1.644 | ![]() |
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6![]() |