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Astron. Astrophys. 362, 119-132 (2000)

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4. Results and discussion

4.1. NGC 1963

NGC 1963 is a Sc galaxy with an inclination angle of [FORMULA] (edge-on) at a distance of 17.7 Mpc (see Table 1). The corresponding slit positions s1 and s2 are overplotted on the [FORMULA] image and are displayed in Fig. 1. Some diffuse emission near the nucleus in the disk-halo interface and bright extended HII regions in the disk are visible. The origin of the z-scale was determined from the continuum emission of the disk.

[FIGURE] Fig. 1. Continuum subtracted [FORMULA] images from Rossa & Dettmar (2000) with the chosen slit positions superimposed. The left column shows NGC 1963 (top), IC 2531 (middle) and NGC 3044 (bottom) while in the right column NGC 4302 (top), NGC 4402 (middle) and NGC 4634 (bottom) are displayed.

Although generally plotted as a function of z, we also present line ratios as a function of emission measure (EM). This provides additional information about the dependence of line ratios and the mean squared densities of free electrons in the emitting region. Line ratios for positions s1 and s2 are plotted in Figs. 3-5. Table 2 gives an overview of averaged line ratios for the disk, the northern, and the southern halo. Representative logarithmic diagnostic diagrams for slit position s1 are displayed in Fig. 6. Diffuse [FORMULA] emission can be traced spectroscopically in the northern halo out to 1.4 kpc and out to 1.3 kpc in the south. The line ratios [NII ]/[FORMULA] and [SII ]/[FORMULA] measured near the midplane of NGC 1963 are typical for HII regions and show no conspicuous features. Both line ratios increase towards the outer halo ([FORMULA]). They are well fitted by the DM94 model taking into account a composite model with 20% ([FORMULA]) + 80% ([FORMULA]. [FORMULA] is the fraction of neutral hydrogen at the outer border of the model nebula. If [FORMULA] is high (radiation bounded case) nearly all emitted energy is absorbed by the geometry and only few stellar photons ionize hydrogen at the edge. A lower value of [FORMULA] (matter bounded case) indicates that a significant fraction of ionizing photons escapes the geometry.

[FIGURE] Fig. 3. NGC 1963: Line ratios of [SII[FORMULA]6717 / H[FORMULA], [NII[FORMULA]6583 / H[FORMULA] (left) and [OI[FORMULA]6300 / H[FORMULA], [OI[FORMULA]6300 / [OIII[FORMULA]5007, and HeI  [FORMULA]5876 / H[FORMULA] (right) along slit position s1. 5" correspond to 430 pc. The lower left panel displays the variation of line ratios as a function of emission measure [FORMULA]. Representative mean errors of [SII ]/[NII ] (halo and disk) are overplotted.

[FIGURE] Fig. 4. NGC 1963: Same ratios of [SII[FORMULA]6717 / H[FORMULA], [NII[FORMULA]6583 / H[FORMULA] (left) and [OI[FORMULA]6300 / H[FORMULA], [OI[FORMULA]6300 / [OIII[FORMULA]5007, and HeI  [FORMULA]5876 / H[FORMULA] (right) but this time for slit position s2. Plots in the lower left are the same as for s1. Representative mean errors (halo/disk) are plotted for [SII ]/[NII ]. Note the tight correlation between [OI ]/H[FORMULA] and HeI /H[FORMULA] in the lower left panels of each figure.

[FIGURE] Fig. 5. NGC 1963: Measured line ratios of [OII[FORMULA]3727 / [OIII[FORMULA]5007 and [OIII[FORMULA]5007 / H[FORMULA] along slit position s1 (left) and s2 (right).

[FIGURE] Fig. 6. NGC 1963: Relevant diagnostic diagrams for slit position s1. The dotted line and filled triangles represent the shock model from Shull & McKee (1979) with shock velocities between 80 - 100 [FORMULA]. Filled circles denote the disk data and open circles address the halo component. Crosses represent observed shock ionized objects used by Baldwin et al. (1981). Areas enclosed by solid lines are fitted by Ma86 and DM92.


[TABLE]

Table 2. Averaged line ratios for the disk and halo of NGC 1963. Halo values are given for distances perpendicular to the plane as indicated below.


At both slit positions the averaged value for HeI /[FORMULA] is [FORMULA] (cf. Table 2). With respect to the error bars the DM94 model fails in predicting the correct ratios no matter which parameter set is chosen. This is also true for the shock sensitive line ratio [OI ]/[FORMULA] at position s2. It follows that there is most likely a second excitation mechanism besides photoionization. As the diagnostic diagrams with [OI ][FORMULA]6300 emission (see Fig. 6) reveal, this extraplanar source could be shock ionization.

The line ratios of [OIII ]/[FORMULA] decrease with increasing [FORMULA] (Fig. 5). This pattern is easily explained in photoinization models (e.g., Ma86) by the ionization stratification expected from the ionization potentials involved. However, recent observations in NGC 891 (Rand 1998) show an increase of the line ratio of [OIII ]/[FORMULA] with increasing distance from the midplane and therefore from the most likely location of the ionizing sources.

4.2. IC 2531

This galaxy of type Sb is perfectly edge-on and shows no prominent DIG emission at either of the slit positions. Only a single filament can be detected 20" NE of slit s2 (cf. Rossa & Dettmar 2000).

Because the slits do not cut any bright HII region the lack of emission lines is not surprising. For both slit positions only the line ratios of [FORMULA] (Fig. 7) could be determined (see also Table 3) and therefore no diagnostic diagram could be obtained.

[FIGURE] Fig. 7. IC 2531: Line ratios of [NII[FORMULA]6583 / H[FORMULA] for s1 and s2 (upper panel). Additionally, plots of line ratio vs. [FORMULA] together with mean error bars for [NII ]/H[FORMULA] are presented (lower panel). 5" correspond to 800 pc.


[TABLE]

Table 3. Averaged line ratios for the disk and the halo area of IC 2531. Halo values and their corresponding z-distance are given below. Note that the halo data for slit 1 are only upper limits.


In view of a single line ratio and relatively large error bars (low S/N ratio) it is not reasonable to make any statements on possible excitation mechanisms of the DIG in IC 2531. The obtained values for the disk region seem to be reproducible by DM94. It is not possible to distinguish between a matter or radiation bounded geometry because both parameter ranges are able to fit the data. [FORMULA] line emission can be traced at s1 out to 1.4 kpc in the northern and out to 1.0 kpc in the southern halo. At s2 the detection of diffuse [FORMULA] emission reaches out to 1.3 kpc in the mean.

4.3. NGC 3044

Besides NGC 1963 this galaxy shows the strongest diffuse extraplanar emission. Again, an [FORMULA] image from Rossa & Dettmar was used to classify the DIG morphology as "bright" and "diffuse" (cf. Fig. 1). For NGC 3044 line ratios are presented in Figs. 8-10, and diagnostic diagrams are shown in Fig. 11. Averaged line ratios are given in Table 4. In this galaxy diffuse extraplanar H[FORMULA] emission is detectable at slit s1 up to [FORMULA] 15" which corresponds to 1.3 kpc. At s2 the extraplanar DIG can be traced up to 1.6 kpc in the northern and up to 1.1 kpc in southern halo. All line ratios except that of [SII ]/H[FORMULA] at slit s2 for NGC 3044 are well reproduced by the photoionization model from Ma86 or DM94 assuming a matter bounded case with [FORMULA] and [FORMULA] (q is proportional to the ratio of ionizing photon density to electron density cubed and also proportional to the ionization parameter U). In these models ionizing sources are O5 stars with temperatures of [FORMULA]. This means that most of the hard Lyman continuum radiation from the star forming regions can escape and ionize the medium at high galactic latitudes. The above mentioned line ratio [SII ]/H[FORMULA] reaches values of 0.80 [FORMULA] 0.16 at z [FORMULA] 11". This finding is in good agreement with the data obtained by Lehnert & Heckman (1995). In diagnostic diagrams including the [OI ] emission line (Fig. 11) the data for the halo fall into the gap between HII regions and shock ionized objects. Additionally, the separation of disk and halo components is not as clear as in NGC 1963. The line ratio of [SII ]/H[FORMULA] for the southern halo at s2, the position of our data in diagnostic diagrams (Fig. 11), and a moderate gradient in line ratios reveal the hybrid character of NGC 3044 regarding the excitation mechanism. Although photoionization seems to be the main ionizing source in this galaxy contributions due to shocks cannot be ruled out. Out to our detection limit we find again a decreasing [FORMULA] ratio with increasing [FORMULA].

[FIGURE] Fig. 8. NGC 3044: Line ratios of [SII[FORMULA]6717 / H[FORMULA], [NII[FORMULA]6583 / H[FORMULA] (left) and [OI[FORMULA]6300 / H[FORMULA], [OI[FORMULA]6300 / [OIII[FORMULA]5007, and HeI  [FORMULA]5876 / H[FORMULA] (right) along slit position s1. 5" correspond to 415 pc. The lower left panel contains plots for different line ratios vs. [FORMULA], including representative mean errors for [SII ] / [NII ].

[FIGURE] Fig. 9. NGC 3044: Same line ratios of [SII[FORMULA]6717 / H[FORMULA], [NII[FORMULA]6583 / H[FORMULA] (left) and [OI[FORMULA]6300 / H[FORMULA], [OI[FORMULA]6300 / [OIII[FORMULA]5007, and HeI  [FORMULA]5876 / H[FORMULA] (right) but this time for slit position s2. 5" correspond again to 415 pc. Line ratios vs. [FORMULA] are also plotted for s2. Again, note the constant behaviour of HeI /H[FORMULA] and [OI ]/H[FORMULA] in the lower left panels.

[FIGURE] Fig. 10. NGC 3044: Measured line ratios of [OII[FORMULA]3727 / [OIII[FORMULA]5007 and [OIII[FORMULA]5007 / H[FORMULA] along slit position s1 (left) and s2 (right).

[FIGURE] Fig. 11. NGC 3044: Relevant diagnostic diagrams for slit position s1. The dotted line and filled triangles are from shock models (Shull & McKee 1979) assuming shock velocities between 80 - 100 [FORMULA]. Filled circles denote the disk data and open circles address the halo component. Crosses represent observed shock ionized objects used by Baldwin et al. (1981). Predicted values of Ma86 and DM92 are enclosed by solid lines.


[TABLE]

Table 4. Averaged line ratios for the disk and the halo of NGC 3044. Ratios for the halo with an asteriks (*) are measured within [FORMULA] kpc.


4.4. NGC 4302

No diffuse extraplanar line radiation is detectable in NGC 4302 at slit position s1 above [FORMULA]. Slit s2 cuts the outer south western part of an extended HII region. Therefore only faint [FORMULA] and [NII[FORMULA]6583 emission from the disk can be detected. No empirical diagnostic diagram could be obtained. Averaged values for [NII[FORMULA]6583/[FORMULA] are shown for [FORMULA] in Table 5, with 4" corresponding to 360 pc. The DM94 model fails in predicting the measured data while the "simplified" Ma86 model fits with respect to the error bars values up to 0.62 well. This assumes a diluted radiation field ([FORMULA]) and O5 stars ([FORMULA]) as ionizing sources. For values larger than 0.62, as observed in the outer disk, the Mathis models fail, too.


[TABLE]

Table 5. Averaged line ratios for the center, the northern (N), and southern (S) outer disk of NGC 4302 at slit position s2.


4.5. NGC 4402

An R-band image of NGC 4402 reveals that this galaxy is rich in dust and shows some spectacular dust filaments emerging from the south eastern and western parts of the disk. The corresponding [FORMULA] image gives evidence that these filaments are connected with HII regions (star forming regions) inside the disk. Our slit position has been chosen such that the star in the north of the galaxy falls onto the slit (Fig. 1). Despite of a "diffuse" DIG classification no emission lines in the blue wavelength domain could be detected. The measured line ratios are presented in Fig. 12 and averaged values are given in Table 6.

[FIGURE] Fig. 12. NGC 4402: Line ratios of [SII[FORMULA]6717 / H[FORMULA] and [NII[FORMULA]6583 / H[FORMULA] including variations of [SII ]/[NII ] vs. [FORMULA] for the only slit position s1. 5" correspond to 530 pc. Positive z-values denote the northern, and negative the southern halo.


[TABLE]

Table 6. Averaged line ratios for the disk and halo area of NGC 4402.


For the disk region of NGC 4402 the DM94 model reproduces the observed ratios well. In order to fit the data one has to choose a matter bounded model ([FORMULA]) and a photon field with [FORMULA]. Roughly 20 % of the ionizing photons escape from the HII regions and are able to ionize sulfur and nitrogen in the halo. Higher values ([FORMULA] 0.9) for the halo are reproduced (with respect to the error bars) by the model of Ma86 using O5 stars as ionizing sources and a still softer radiation field ([FORMULA]). Values of 0.62 for [NII ]/H[FORMULA] and 0.61 for [SII ]/H[FORMULA] are predicted. Ratios exceeding 0.9 lead to a model failure.

The steep gradient in [NII ]/H[FORMULA] or [SII ]/H[FORMULA] reaching values of 1 or higher at high [FORMULA] cannot be explained in the framework of dilute photoionization models and may indicate again the need for an additional heating source.

4.6. NGC 4634

On the [FORMULA] image for NGC 4634 a bright and extraplanar DIG layer is visible. Additionally, several filaments emerge mainly from the north-eastern part of the disk (see Fig. 1). Here again the slits had been positioned such that they contain stars for accurate positioning. Slit s1 cuts the brigthest HII region [FORMULA] 5" north west of an extended dust cloud and s2 covers an area of fainter [FORMULA] intensity [FORMULA] 14" north west of s1. As in NGC 4402, only the spectral lines of [NII[FORMULA]6549, 6583, [FORMULA], and [SII[FORMULA]6717, 6732 are measurable at both slit positions above [FORMULA]. The corresponding line ratios are plotted in Fig. 13 and Fig. 14. Due to the non-detection of emission lines in the blue wavelength region no diagnostic diagrams could be created. In NGC 4634 DIG emission can be traced up to 1.2 kpc at slit position s1 and up to 0.9 kpc at s2. Measured line ratios of [NII ]/H[FORMULA] for the disk area can be reproduced using the DM94 model and setting [FORMULA] again to 0.10 and [FORMULA] to -4. Only 10 % of hydrogen is neutral at the border [FORMULA] that is 31 % of the ionizing photons can escape the geometry. The model fails again for values larger than 0.37. [SII ]/H[FORMULA] values of the order 0.20 [FORMULA] 0.02 (cf. Table 7) are also not predicted by this geometry.

[FIGURE] Fig. 13. NGC 4634: Line ratios of [SII[FORMULA]6717 / H[FORMULA] and [NII[FORMULA]6583 / H[FORMULA] for slit s1. 5" correspond to 465 pc. The lower panel displays [SII ]/[NII ] vs. [FORMULA] in combination with corresponding mean errors.

[FIGURE] Fig. 14. NGC 4634: Line ratios of [SII[FORMULA]6717 / H[FORMULA] and [NII[FORMULA]6583 / H[FORMULA] for slit s2. 5" correspond to 465 pc. The lower panel shows again [SII ]/[NII ] vs. [FORMULA] along with the representative errors.


[TABLE]

Table 7. Averaged line ratios for the disk and halo area of NGC 4634.


Additional information on ionization sources and resulting line ratios can only be made by using the simplified Ma86 model. Stars of spectral type O5 ([FORMULA]) are taken to be responsible for the ionization of the observed elements. Taking error bars into account halo values for [NII ]/H[FORMULA] are well reproduced, as long as they are [FORMULA] 0.62. Larger ratios lead to a failure of the model. Relative line strenghts of [SII ]/H[FORMULA] (s1 and s2) are well fitted by Ma86. It produces values of 0.62 which is consistent with the measured data especially for slit position s1. Although precise statements on excitation mechanisms of the extraplanar DIG cannot be made with the present data, the failure of the photoionization models implies more than one ionizing/heating source.

4.7. Discussion

Recent studies of DIG in the Milky Way and several edge-on galaxies confirm a nearly constant trend for [SII ]/H[FORMULA] vs. [NII ]/H[FORMULA] (e.g., Haffner et al. 1999) and also for [SII ]/[NII ] vs. z (Rand 1998). These observations cannot be reproduced by photoionization models which depend on the ionization parameter U, because as [NII ]/H[FORMULA] and [SII ]/H[FORMULA] increase towards the halo, due to a diluted radiation field (smaller U), [SII ]/[NII ] increases, too. To explain this finding Reynolds et al. (1999) recently proposed an additional heating source that is proportional to [FORMULA] and increases the electron temperature towards the outer halo.

Ideas for possible heating processes reach from turbulent dissipation to magnetic reconnection. In the low density environment these processes would be more efficient than photoionization, thus providing the necessary heating rate to account for the shapes of the above mentioned line ratios and possibly also for the rise of [OIII ]/H[FORMULA] with z (Reynolds et al. 1999). We present in Fig. 15 plots of [SII ]/H[FORMULA] vs. [NII ]/H[FORMULA] supporting a linear dependence. Since line ratios are given with respect to H[FORMULA] intensities, this relation holds with respect to densities. If [SII ]/[NII ] line ratios are instead plotted vs. the geometrical unit z (Fig. 16) the scatter is much increased. In this presentation significant non-linear changes in [SII ]/[NII ] vs. z can be noticed. In some cases (NGC 3044, NGC 1963 and NGC 4634) the halo hemispheres may have different slopes which could be explained by, e.g., different metallicities (Haffner et al. 1999). Plots of line ratios vs. emission measure [FORMULA] as a first estimate of a density dependence (lower panels of Fig. 4, Fig. 9, Fig. 12, and Fig. 14) also support a non-linear trend.

[FIGURE] Fig. 15. [SII[FORMULA]6717/H[FORMULA] vs. [NII[FORMULA]/H[FORMULA] for all galaxies with nitrogen and sulfur emission. The mean error for the halo of all galaxies is plotted in the upper right corner. For comparison, data for the Milky Way (Haffner et al. 1999) and NGC 891 (Rand 1998) would be located between the dashed lines.

[FIGURE] Fig. 16. Alternative plot of [SII[FORMULA]6717/[NII[FORMULA] vs. distance z perpendicular to the plane. Now, different gradients are visible in both halo hemispheres.

As can be seen from Fig. 16 the ratio of [SII ]/[NII ] for NGC 1963 increases rapidly from 1.0 in the disk at [FORMULA] to 1.6 at [FORMULA] towards the halo. Values of 1.12 - 1.34 are predicted by DM94 assuming the same parameter setting as mentioned in Sect. 4.1 reflecting the observed data for the disk and the northern halo region well. For ratios less than 1 the chosen parameter set which previously reproduced [NII ]/[FORMULA] and [SII ]/[FORMULA] now leads to a model failure (southern halo, cf. Fig. 16). Alternative settings are also unable to fit observations. A likely physical reason could be a small scale fluctuation (increase) of the electron temperature [FORMULA] due to a decrease in metallicity or density of the extraplanar DIG. Although the model cannot account for local density or metallicity variations the general trend of [NII ]/[FORMULA] or [SII ]/[NII ] is qualitatively well reproduced.

Compared to NGC 1963 the shape of [SII ]/[NII ] for NGC 3044 looks similar but reveals a lower starting value (0.67) and a non-linear gradient for [FORMULA] (compare to Fig. 15 where the gradient seems to be linear). With respect to the mean errors, the observed ratios are again best represented by the DM94 model. The scatter in [SII ]/[NII ] (Fig. 16) at [FORMULA] suggests that the electron temperature and most likely also the metallicity is a function of z, varying significantly on large scales ([FORMULA] 1 kpc). Within our sample NGC 1963 and NGC 3044 are showing the steepest gradients and largests mean values of [SII ]/[NII ], hence deviating from Rand's observation in NGC 891.

The ratio of [SII ]/[NII ] for NGC 4402 (Fig. 15 or Fig. 16) reveals only a relatively flat gradient towards the halo. This result differs extremely from the one for NGC 1963 or NGC 3044, and is similar to the ratio found for NGC 891. It also indicates that none of our selected models can predict correct values, especially not for the most extreme points in this plot. It could be argued that diluted and very soft radiation is responsible for the observed values. However, this is not probable since [NII ] should be increased, too.

Haffner et al. (1999) have shown for the Milky Way that different slopes in [SII ]/H[FORMULA] vs. [NII ]/H[FORMULA] could be an indicator for different metallicities. As a result the individual gradients visible in Fig. 16 could indicate different metallicities for each halo hemisphere. If this is true NGC 4402 would have the same metallicity as the Milky Way or its "twin" NGC 891.

The data for NGC 4634 in Fig. 16 are in agreement with Ma86 and demonstrate a constant run at 0.6 for the disk, followed by a relatively steep gradient. At [FORMULA] the ratio appears to remain constant at 1.0. In the disk [SII ]/[NII ] is comparable to that of NGC 891 but with increasing [FORMULA] this similarity fades.

In summary we note that strong nitrogen lines ([FORMULA] with respect to hydrogen) are generally not well reproduced by pure photoionization models. The general trend of [SII ]/[NII ] is reproduced qualitatively but not quantitatively (models cannot account for localized changes). They even fail in fitting oxygen and helium line ratios for the halo. The diagnostic diagram using [OIII] and [OI] for NGC 1963 indicates that shocks may contribute as an ionizing and heating source in the halo. This is similar to the finding of Martin (1997) for diffuse ionized gas in the outflows of dwarf galaxies. However, for the objects studied here, the discussed line ratios do not only change with geometrical distance from the midplane of the disk, i.e. with respect to the location of the suspected ionizing sources. We rather find sudden localized changes, most evidently in NGC 3044 and NGC 4402, indicating that ionization conditions and/or heating rates may change on length scales of a few hundred parsecs. These non-linear changes can also be seen in the correlation between [SII]/[NII] line ratios and emission measure (Fig. 4, Fig. 9, Fig. 12, or Fig. 14). Since they also correlate with the local density of the diffuse medium, these variations can only be explained by small scale density fluctuations.

4.8. Kinematics

In order to probe our results and to establish a relationship between excitation mechanisms and gas kinematics we have plotted in Fig. 17 an additional diagnostic diagram regarding line width (FWHM) vs. line ratio following, e.g., Lehnert & Heckman (1996). We have chosen [NII[FORMULA]6583 as kinematical tracer since its higher mass minimizes thermal broadening. Only three target galaxies with nitrogen emission of [FORMULA] Å-1 have been used for this plot. We point out that we did not correct for effects of kinematical line broadening. Thus, the data in Fig. 17 do not show the pure thermal line broadening. In order to establish nevertheless a relationship between ionization and gas dynamics we minimized the effect of kinematical line broadening in using only slit positions located near the center of each galaxy (s1 in NGC 1963, s1 in NGC 3044 and s2 in NGC 4634, cf. Fig. 1). A correction for the instrumental profile has been applied.

[FIGURE] Fig. 17. Relationship between [NII[FORMULA]6583/[FORMULA] and the corresponding [NII ]-FWHM for all galaxies with broad nitrogen emission. Filled symbols correspond to the disk and open symbols denote the halo region. The cross represents the largest measured error for the halo area and the dashed line indicates the value of the kinematical resolution.

The spectral resolution has been determined to be 4.6 Å by measuring the FWHM at different positions of HeAr calibration spectra. This translates into 210 km [FORMULA] for the [FORMULA] emission line, corresponding to 2.3 on a logarithmic scale. Because most data in Fig. 17 are located between 2.2 and 2.4 one has to be aware that only values larger than 2.3 (within the errors) have a significant physical meaning. We therefore checked for consistency in measuring FWHM of the [OI ][FORMULA]6300 nightsky line in NGC 1963 and NGC 3044. Since this prominent emission feature is nearest to the [NII[FORMULA]6583 spectral line one thus obtains more precise values of the kinematical resolution. In the present case the parameter has to be modified slightly to 4.2 Å or 200 km [FORMULA], leading again to the same value as mentioned above. Fortunately we are interested in line broadening towards the halo and hence the main body of the data can be used for analysis.

For all galaxies plotted in Fig. 17 a clear correlation between gas kinematics and its ionization is visible. The broadening of lines at high galactic latitudes, even if less significant, supports a prominent large scale motion or increased turbulence of the ionized gas particles. Since this motion is tightly correlated to the ionization of the DIG it seems that in the halo of these galaxies shocks, superwinds or turbulent mixing layers as additional ionization or heating sources occur.

This can be seen very nicely in NGC 1963 where disk and halo data cover different regions. Additionally, the hybrid character of NGC 3044 becomes obvious, again. Line broadening suggests only very moderate shock contributions. Although for NGC 4634 the data allows no detailed diagnostics concerning possible ionization mechanisms Fig. 17 suggests that shocks (besides photoionization) could represent one possible additional excitation mechanism of the extraplanar DIG.

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Online publication: October 30, 19100
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