2. Method of Determination of Nonthermal Velocities and the Observational Results

[6]  At low-density and high-temperature gradient in the transition region and corona [Pinfield et al., 1999; Roussel-Düpre, 1980] a deviation from the Maxwell velocity distribution is observed. However, the deviation is influencing considerably the far wings of the line. The observed profiles of coronal lines are well represented by a Gaussian even at the level of Doppler widths measurements. The Doppler half width of a line (after taking into account the instrumental profile) is determined by the well-known expression

eq001.gif

where x is the nonthermal velocity. Taking the temperature T equal to the temperature of the maximum abundance of the given ion and using DlD, turbulence velocities are evaluated both in the coronal hole and in the vicinity of quiet prominences where the magnetic field is stable, the fact making it possible for the shape of such prominences to stay unchanged during several solar rotations.

[7]  On 23 March 1974 a coronal formation in the vicinity of a long-living prominence was observed at the coronograph of the Sakramento Peak observatory in the Fe ion lines 5303 Å, 6374 Å, 7059 Å, and 7892 Å [Tsubaki, 1975]. The spectrograph slit was positioned in parallel to the solar limb. At all cuts passing the prominence, a local minimum of the intensity of the coronal lines and Doppler temperature TD corresponding to the prominence position were observed. The value of TD was determined from

eq002.gif

The electron temperature value was determined from the ratio of the intensities of the lines l 7059/l 5303. Usually, an equality of ionization and electron temperatures is taken for the coronal plasma. Using this assumption the values of x averaged over cuts parallel to the limb are calculated from the value of TD = T+x2m/2k. The value of the nonthermal velocity varies (depending on the cut number) within the limits from 6 to 16 km s-1, the mean value of x being 13 km s-1.

[8]  We can assume with some stretch that this value characterizes nonthermal velocities in the cavity surrounding the quiet prominence. Actually, these estimates are contaminated by the contribution from the quiet corona with different weight for different cuts.

[9]  For the cut closest to the limb this contribution is minimal. For this cut x= 6 km s-1. According to Delone et al. [2003] the mean value of x for the quiet corona in the temperature region 6.0< log Te <6.4 is 18 km s -1. We see that the nonthermal velocities in the cavity surrounding a quiet prominence are less than in the quiet corona.

[10]  We reconsidered the results of our observations of solar eclipses and obtained a confirmation to the conclusions discussed above. Observations during eclipses were carried out at installations using Fabry-Perot etalons and narrow interference filters as premonochromators. Using the interferogram of the corona in the l = 5303 Å line obtained by Delone and Makarova [1975] during the 1968 eclipse, we measured 26 profiles around a quiet prominence. The mean Doppler half width in this region is DlD= 0.604 Å. At the corona temperature of 2 times 106 K the turbulent velocity in the vicinity of the quiet prominence is 24 km s-1. Far from the prominence we obtained DlD = 0.720 Å and, respectively, the mean calculated velocity x = 32 km s -1. The line profiles above the southern pole at altitude 90'' above the limb had larger Doppler half widths (averaged DlD = 0.948 Å) and turbulent velocity ( x = 50 km s-1 ). Using the interferograms obtained in the l = 5303 Å line during the 1981 eclipse [Delone et al., [1988], we obtained the nonthermal velocity around a quiet prominence x by 25% less than in other coronal regions.

[11]  During the 11 August 1999 eclipse, two quiet prominences were observed. In the eastern region according to the Solar Geophysical Data, there were two small coronal holes located close to the limb on the disk. This provided a chance to compare the nonthermal velocities obtained from the 5303 Å line half widths for all studied coronal structures (CH, coronal cavity around the quiet prominence, and quiet corona) in the same system. Assuming in all formations that T = 2 times 106 K, we obtain in the vicinity of the quiet prominences x = 14.4 km s-1. In quiet (undisturbed) region of the corona x = 20 km s-1 and in CH x = 28 km s-1. It is known from a series of publications that the temperature in a coronal hole is lower than the temperature of quiet corona. Therefore the turbulent velocity in CH should have been even higher than the temperature determined with the same T =2 times 106 K for all regions. If one assumes the temperature in a coronal hole T =1.3 times 106 K [Tu et al., 1998], the nonthermal velocity in the CH would be x = 31 km s-1. Apparently, in 1968 [Delone and Makarova, 1975] a coronal hole also existed over the southern pole. That is why the Doppler half widths in this place of the corona were higher than in the adjacent regions.

[12]  Observations on board Solar Ultraviolet Measurements of Emitted Radiation (SUMER) Solar and Heliospheric Observatory (SOHO) during several months in 1996-1997 in the lines: Mg IX (706 Å and 750 Å) and Si VIII (1440 Å and 1445 Å) near the southern and northern poles of the Sun over coronal holes showed that the electron temperature along plumes Te < 0.8 times 106 K, whereas in interplume lanes Te < (0.75 - 0.88) times 106 K [Wilhelm et al., 1998]. Typical velocities obtained from Doppler half widths of the line were VD sim 43 km s-1 within the plumes and VD sim 55 km s-1 in the interplume regions. Wilhelm et al. [1998] noted that the assumption on the ionization equilibrium provided by collisions (and so the equality Te = Ti ) apparently is not fulfilled within a CH. This is emphasized also by some other authors on the basis of observations. On this basis, Wilhelm et al. [1998] did not try to separate the line half width to the thermal and turbulent components. The values presented above are the total velocities. However, if one assumes that Ti is equal to the commonly accepted temperature of formation of the lines (  log Ti( Mg XI) = 5.95 and log Ti( Si IX) = 5.99 ), then on the basis of the data of Wilhelm et al. [1998] one can calculate the values of the nonthermal velocities in coronal holes. The values of x vary from 30 to 60 km s-1. The average value x = 45 km s-1, which is higher than in the ambient corona.

[13]  According to numerous publications dedicated to studying of nonthermal velocities in coronal holes, the value of x increases with height. For example, according to the data by Banerjee et al. [1998] based on SUMER SOHO measurements in the line Si VIII ( l =1445.75 Å) and the assumption on homogeneous temperature ( T sim 106 K) in CH, the turbulent velocities are x = 27 km s -1 at an altitude of 27'' over the limb and x = 46 km s-1 at an altitude of 250''. The nonthermal velocities are higher in the interplume regions and higher than in quiet corona.

[14]  Using the observations at Norikura coronograph in the x =6374 Å line conducted on 3 November 1998 by the CCD matrix in the vicinity of the north pole of the Sun in a large coronal hole and adjacent quiet corona during 6.3 hours, Raju et al. [2000] obtained that the nonthermal velocities within CH and quiet corona lie in the limits from 14 to 36 km s-1 and from 10 to 30 km s-1, respectively. The average values of x are 24 km s-1 in CH and 15 km s-1 in quiet corona. The temperatures are about 1.08 times 106 K in CH and 1.2 times 106 K in quiet corona.

[15]  The corona images in the lines l = 171 Å (Fe IX, Fe X) and l = 195 Å (Fe XII) obtained at the Extreme Ultraviolet Imaging Telescope (EUIT) SOHO were used to draw temperature charts of the corona for the moments of observations at the Norikura coronograph in the l = 6374 Å. The temperature of formation of the UV lines of Fe ions is about 106 K, that is the same as the temperature of formation of the red line.

[16]  Using the profiles of the lines of Si VIII (1446 Å) and Fe X, Fe XI, and Fe XII in the range of lsim 1242-1467 Å, observed on board the Skylab spacecraft (the spatial resolution 2'' times 60'' ), Doschek and Feldman [1977] obtained x = 18.3 and 22 km s-1 in the quiet region and coronal hole, respectively. The temperature was taken the same both for CH and quiet region: T sim 1 times 106 (Si VIII) to 1.7 times 106 (Fe XII) K.

[17]  Using the observations at Sakramento Peak observatory in the 6374 Å line carried out in September 1992 in the CH near the southern pole, Hassler and Moran [1994] obtained that the nonthermal velocities are varying in the range from 40 to 60 km s -1 with an increase of the distance over the limb (up to r = 1.16 Rodot ). Thus the turbulent velocities in a coronal cavity around quiet prominence are lower than in the ambient quiet corona, whereas the velocities in CH are higher than in the quiet corona.


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