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4. Chromospheric activity

The 8 hypergiants that have been observed show that the Ca II line profiles have a complex structure. Emission components appear within the absorption profile, perhaps similar to the ones that are observed in the Ca II H and K profiles of stars known to have chromospheric activity. However, the rest of the stars, i.e., the dwarfs, giants and supergiants show only absorption profiles in the Ca II triplet lines. Anderson (1974) observed the tex2html_wrap_inline19128498 line in 28 stars of spectral types F8-M2 at a resolution of 0.28 Å and found no distinct emission in any star. Only one star, tex2html_wrap_inline1914 Dra showed a central residual intensity (CRI) larger than in the other stars, possibly due to filling in by chromospheric emission. This star is the only one with a very active chromosphere in Anderson's list (intensity class 3 according to Wilson 1976). Linsky et al. (1979) also observed tex2html_wrap_inline19168542 profiles at a resolution of 0.14 Å in 49 stars as a probe for chromospheric activity. Their resolution is twice as high as that of Anderson and is sufficient to resolve emission features within the absorption profiles of the Ca II triplet in stars if they are present. No evidence of emission was found even for the most active chromosphere star.

 

Star Spectral I(CaII K) tex2html_wrap_inline1920 CRI EQW
type (tex2html_wrap_inline1922) tex2html_wrap_inline19248498 tex2html_wrap_inline19268542 tex2html_wrap_inline19288662 tex2html_wrap_inline19308498 tex2html_wrap_inline19328542 tex2html_wrap_inline19348662
HR 2269 K3 Ib - - 0.32 0.25 0.30 1.59 3.40 3.36
3 Cet K3 Ib - <17 0.18 0.12 0.20 2.11 4.66 3.63
HR 2269 K3 Ib - - 0.32 0.25 0.30 1 59 3.40 3.36
tex2html_wrap_inline1938 Per K3 Ib 4 tex2html_wrap_inline194054 0.17 0.12 0.08 2.52 4.59 3.96
56 Peg G8 Ib 4 <17 0.45 0.35 0.24 1.50 3.43 2.85
tex2html_wrap_inline1944 Cep K1.5 Ib 3 <17 0.16 0.11 0.10 2.60 5.17 4.51
56 Peg G8 Ib 4 <17 0.45 0.35 0.24 1.50 3.43 2.85
tex2html_wrap_inline1950 Gem G8 Ib 4 <17 0.19 0.15 0.11 2.62 4.71 4.02
tex2html_wrap_inline1954 Dra G2 Ib-IIa 3 13 0.37 0.27 0.31 1.83 4.40 3.43
tex2html_wrap_inline1956 Gem G0 Ib - tex2html_wrap_inline195854 0.28 0.15 0.15 1.76 4.66 4.35
tex2html_wrap_inline1960 Vir M3 III 4 - 0.33 0.20 0.17 1.59 3.37 3.05
tex2html_wrap_inline1962 Gem M3 III 5 - 0.28 0.14 0.18 1.85 3.89 3.36
tex2html_wrap_inline1964 CMa K4 III 3 <19 0.30 0.17 0.16 1.49 2.94 2.62
tex2html_wrap_inline1968 Tau K5 III 3 <17 0.25 0.12 0.13 1.88 4.20 3.22
tex2html_wrap_inline1972 Hya K2 III 3 <17 0.33 0.23 0.18 1.32 3.01 2.84
tex2html_wrap_inline1976 Col K2 III 2 - 0.28 0.15 0.17 1.57 3.46 2.94
tex2html_wrap_inline1978 Gem K1 III - 22 0.65 0.51 0.56 1.31 3.23 2.09
tex2html_wrap_inline1980 Gem K0 IIIb 1 <17 0.37 0.17 0.23 1.37 3.53 2.64
tex2html_wrap_inline1984 And G8 III 5 <19 0.73 0.57 0.58 0.86 2.58 1.71
tex2html_wrap_inline1988 Ori K0 III 2 - 0.37 0.20 0.23 1.20 2.85 2.52
tex2html_wrap_inline1990 Hya G5 III - 19 0.5 0.33 0.36 1.15 3.04 2.35
o UMa G5 III 1 17 0.38 0.21 0.12 1.30 3.27 2.21
tex2html_wrap_inline1992 Vir G2 IV 3 0 0.58 0.50 0.43 1.06 2.36 2.01
tex2html_wrap_inline1994 Her G5 IV 0 20 0.45 0.22 0.29 1.10 3.48 2.28
tex2html_wrap_inline1996 Vir G2 IV 3 0 0.58 0.50 0.43 1.06 2.36 2.01
tex2html_wrap_inline1998 Her G0 IV 0 tex2html_wrap_inline200010 0.47 0.33 0.25 1.18 2.28 2.07
tex2html_wrap_inline2002 Eri K2 V 4 <17 0.58 0.44 0.47 1.16 2.96 2.06
tex2html_wrap_inline2006 Eri K1 V 2 - 0.50 0.32 0.33 1.32 3.11 2.38
tex2html_wrap_inline2008 Cet G8 V - 2 0.54 0.40 0.43 0.97 2.31 1.80
82 Eri G8 V - - 0.48 0.31 0.33 1.07 3.04 2.37
tex2html_wrap_inline2010 Ori G0 V 2 6 0.66 0.60 0.46 0.90 1.66 1.58
tex2html_wrap_inline2012 Com G0 V 1 6 0.57 0.37 0.37 0.90 2.29 2.02
tex2html_wrap_inline2014 Ori G0 V 2 6 0.66 0.60 0.46 0.90 1.66 1.58
tex2html_wrap_inline2016 Vir F9 V 0 3 0.50 0.35 0.33 1.10 1.88 1.83
HR 5317 F7 V - 30 0.58 0.37 0.32 1.17 3.40 2.17
tex2html_wrap_inline2018 Cap F8 V - 54 0.36 0.21 0.21 1.78 4.27 2.84
Table 3: Summary of observations of star pairs

 

However, it was found that when the observed spectra of stars are arranged into groups with similar spectral type and luminosity class, within each group there are stars for which the line profiles differ in shape near the line center from the rest of the stars in that group, in the sense that CRI is higher for these stars compared to that of the rest. Some of the examples cited by Linsky et al. (1979) are 111 Tau-tex2html_wrap_inline2020 Vir, tex2html_wrap_inline2022 Boo A-tex2html_wrap_inline2024 Cet, tex2html_wrap_inline2026 And-tex2html_wrap_inline2028 Crt, tex2html_wrap_inline2030 Ori-tex2html_wrap_inline2032 Com, tex2html_wrap_inline2034 Gem-tex2html_wrap_inline2036 Cet, tex2html_wrap_inline2038 Aur-tex2html_wrap_inline2040 Crv, tex2html_wrap_inline2042 Dra-tex2html_wrap_inline2044 Leo, 9 Peg-tex2html_wrap_inline2046 Gem; the first one in each pair having a higher CRI than the other. These are perhaps the stars whose absorption profiles show filling in of the tex2html_wrap_inline20488542 cores by unresolved chromospheric emission. According to Wilson (1976), most of these are the active chromosphere stars with an intensity index higher than 3. Following Linsky et al. (1979), we have also grouped all the observed stars of similar spectral type, luminosity and also metallicity (within tex2html_wrap_inline2050[Fe/H] = tex2html_wrap_inline2052 0.2) and have found about 13 pairs that are tabulated in Table 3 (click here). The first one is with the larger CRI than the other and is therefore suspected to be chromospherically more active. Listed in the Cols. 5, 6 and 7 of Table 3 (click here), CRI is systematically higher in all the 3 lines in the first star of each pair for all pairs. For 4 of the chromospherically active stars, two examples each of above pairs are cited. The intensity index according to Wilson & Bappu (1957) and Wilson (1976) in the more active stars is 3 or higher except for tex2html_wrap_inline2054 Ori as seen in Col. 3 of Table 3 (click here). None of these stars are fast rotators. The quantity tex2html_wrap_inline2056 taken from the Bright Star Catalogue is listed in Col. 4. It is less than tex2html_wrap_inline2058 for most of the stars. Only tex2html_wrap_inline2060 Cap, tex2html_wrap_inline2062 Gem and HR 5317 exceed this value. So rotational broadening cannot be affecting the CRI of the Ca II triplet lines in these stars. Since the latter star (i.e. tex2html_wrap_inline2064 Cap) in the pair HR 5317-tex2html_wrap_inline2066 Cap has higher tex2html_wrap_inline2068, the relatively higher CRI of HR 5317 cannot be due to rotational broadening. In fact, the Ca II lines of HR 5317 as seen in Fig. 7 (click here)a seem a bit too weak for its high +ve [Fe/H]. We suspect that it is due to chromospheric emission filling in the star. tex2html_wrap_inline2070 Cet in Fig. 5 (click here)b has a rather low EQW perhaps again because chromospheric emission has partly filled in its absorption profile. As Cols. 8, 9 and 10 of Table 3 (click here) show, the EQWs of all the 3 lines are smaller in the star with the larger CRI than in the star with the smaller CRI. The amount by which they differ ranges from 10 to 30%. However, this may not be the best way of measuring the chromospheric emission that fills in the absorption. Following the scheme of Linsky et al. (1979), we compared the Ca II profiles of each pair (stars with similar spectral type, luminosity & metallicity) by dividing the spectrum of one with the larger CRI by that of the other with the smaller CRI point by point. Figure 9 (click here) shows some of these divided spectra in tex2html_wrap_inline2072 8498, 8542 and tex2html_wrap_inline20748662.

  figure459
Figure 9: Line ratio spectra of tex2html_wrap_inline2076, 8542, 8662 of a few sample pairs

 

Ratio spectra FWHM(Å)emission area of
peak(Å) emission
tex2html_wrap_inline20788498 tex2html_wrap_inline20808542 tex2html_wrap_inline20828662 tex2html_wrap_inline20848498 tex2html_wrap_inline20868542 tex2html_wrap_inline20888662 tex2html_wrap_inline20908498 tex2html_wrap_inline20928542 tex2html_wrap_inline20948662
HR 2269 / 3 Cet 0.84 0.78 2.14 2.45 3.25 1.67 2.06 2.54 3.58
HR 2269 / tex2html_wrap_inline2096 Per 1.12 1.20 - 2.3 2.3 - 2.58 2.75 -
56 Peg / tex2html_wrap_inline2098 Cep 1.50 1.15 1.23 2.36 3.25 3.05 3.54 3.74 3.74
56 Peg / tex2html_wrap_inline2100 Gem 1.06 1.56 1.54 2.6 2.16 2.65 2.77 3.38 4.08
tex2html_wrap_inline2102 Dra / tex2html_wrap_inline2104 Gem 1.17 0.9 1.43 1.84 1.48 1.75 2.15 1.33 2.50
tex2html_wrap_inline2106 Vir / tex2html_wrap_inline2108 Gem 1.10 1 20 1.05 1.23 1.46 1.25 1.35 1.75 1.31
tex2html_wrap_inline2110 CMa / tex2html_wrap_inline2112 Tau 0.70 0.69 0.63 1.52 2.10 1.98 1.06 1.45 1.25
tex2html_wrap_inline2114 Hya / tex2html_wrap_inline2116 Col 0.84 0.65 - 1.43 2.16 - 1.20 1.4 -
tex2html_wrap_inline2118 Gem / tex2html_wrap_inline2120 Gem 0.83 0.71 0.81 1.64 2.47 2.17 1.36 1.75 1.76
tex2html_wrap_inline2122 And / tex2html_wrap_inline2124 Ori 0.8 0.76 0.88 1.90 2.37 1.87 1.52 1.80 1.58
tex2html_wrap_inline2126 Hya / o UMa 0.89 0.83 0.6 1.37 1.65 3.05 1.21 1.37 1.83
tex2html_wrap_inline2128 Vir / tex2html_wrap_inline2130 Her 0.77 0.69 0.67 1.37 2.27 1.88 1.05 1.57 1.25
tex2html_wrap_inline2132 Vir / tex2html_wrap_inline2134 Her - 0.6 0.7 - 1.54 1.82 - 0.92 1.27
tex2html_wrap_inline2136 Eri / tex2html_wrap_inline2138 Eri 0.86 0.62 0.77 1.18 1.4 1.4 1.01 0.87 1.08
tex2html_wrap_inline2140 Cet / 82 Eri 0.82 0.63 0.50 1.75 1.52 1.60 1.44 0.96 0.80
tex2html_wrap_inline2142 Ori / tex2html_wrap_inline2144 Com 0.92 0.64 1.05 1.27 1.71 1.4 1.17 1.09 1.47
tex2html_wrap_inline2146 Ori / tex2html_wrap_inline2148 Vir 0.86 0.85 1.10 1.32 1.83 1.42 1.14 1.56 1.57
HR 5317 / tex2html_wrap_inline2150 Cap 1.25 1.00 - 1.87 2.62 - 2.34 2.62 -
Table 4: Emission parameters of ratio spectra

 

These ratio profiles actually show net emission in each of the 3 lines, the amount that fills in the absorption profile of the star having larger CRI, i.e., with larger chromospheric activity. They also show the spectral range over which the chromospheric filling in occurs in the active chromosphere stars. Columns 2, 3 and 4 of Table 4 (click here) list the FWHM of the ratio profiles of the 3 lines in the 13 star pairs given in Col. 1. It would be interesting to see how the FWHM relates to the luminosity of the stars in question. The ratio plots give FWHM for the 3 lines in supergiants in the range tex2html_wrap_inline2152, in giants from 0.7 Å to 1.1 Å and in dwarfs & subgiants from 0.6 Å to 0.9 Å. The FWHM does increase with luminosity, quite in analogy with the behaviour of the Ca II H and K line emission widths to luminosity. The peak values of the emission profiles of all the 3 lines are displayed in Cols. 5, 6, and 7 of Table 4 (click here). The product of FWHM and the peak value of emission (which is actually a more direct measure of the amount of emission) was calculated for all the dwarf, giant and supergiant pairs and is shown in Cols. 8, 9 and 10. We find that this quantity is more sensitive to luminosity than FWHM alone. In supergiants, it lies in the range 2.1 - 4.0 for the 3 lines, in giants between 1.1 - 1.8 and in dwarfs & subgiants between 0.9 - 1.5. Most of the ratio profiles differ appreciably from unity only in the line core (within tex2html_wrap_inline2160 of the line core) implying substantial emission in the chromosphere but not in the photosphere. According to Linsky et al. (1979), a better way of detecting photospheric emission apart from the chromospheric emission, is to subtract the profiles of similar stars. Figure 10 (click here) shows the line difference plots for tex2html_wrap_inline21628498, 8542 and tex2html_wrap_inline21648662 for a few star pairs. The pairs 56 Peg-tex2html_wrap_inline2166 Cep, 56 Peg-tex2html_wrap_inline2168 Gem, HR 2269-3 Cet, HR 2269-tex2html_wrap_inline2170 Per are much more spread out (out to more than tex2html_wrap_inline2172 of the line core) than the other pairs, suggesting a strong evidence of emission beyond the line core, implying it originates in the photosphere.

  figure493
Figure 10: Line difference spectra of tex2html_wrap_inline2174, 8542, 8662 of the same pairs

Thus, if the CRI of the Ca II triplet lines is not affected by parameters like rotational broadening, macroturbulence, microturbulence etc., then the CRI of especially the 8542 Å and the 8662 Å lines could be viewed as a diagnostic and a measure of chromospheric activity in stars. The nearly one-to-one correlation between FWHM/area of the ratio profiles and the Ca II K line emission intensity index supports the above inference. Linsky et al. (1979) also strongly support the contention that a direct comparison of tex2html_wrap_inline21768542 CRIs of stars with similar spectral type and luminosity class should at least be a qualitative discriminant of chromospheric activity. The direct spectroscopic diagnostic is the chromospheric radiative loss rate which is known to be significantly higher in active chromosphere stars than in quiet chromosphere stars. Linsky et al. (1979) have estimated the tex2html_wrap_inline21788542 chromospheric radiative loss rate in stars they have observed and find that stars with larger tex2html_wrap_inline21808542 chromospheric radiative loss rates are also those with larger Ca II K line intensities. Since the tex2html_wrap_inline21828542 CRI's of the stars in each group of stars with similar spectral and luminosity type have one-to-one correlation with the K-line index, we contend that tex2html_wrap_inline21848542 CRI is a good discriminant of chromospheric activity. Cayrel de Strobel (1992) has observed the Ca II tex2html_wrap_inline21868498, 8542 lines in a small sample of F, G and K dwarfs and slightly evolved subgiants randomly selected from the ``Catalogue of Nearby Stars" of Gliese (1969). Observed profiles of these lines in 6 early K dwarfs having about the same effective temperature show that the shallower the lines are in the spectrum of a star, the more active the chromosphere of this star is.


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