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/journal_tables/A+AS/109/313/

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J/A+AS/109/313                  Heterochromatic extinction. II. (Roberts+, 1995)
================================================================================
Heterochromatic extinction. I. Dependence of interstellar extinction on stellar
temperature, surface gravity, and metallicity.
       Roberts W.J., Grebel E.K.
      <Astron. Astrophys. Suppl. Ser. 109, 313 (1995)>
      =1995A&AS..109..313R      (SIMBAD/NED Reference)
================================================================================
ADC_Keywords: Extinction; Interstellar medium; Stars, atmospheres
Keywords: atmospheric effects - techniques: photometric -
          stars: fundamental parameters

Abstract:
   In synthetic versions of two broadband photometric systems, Johnson-Cousins
   and Washington, we find the dependence of atmospheric extinction corrections 
   on colour and on macro features in the spectra of stars, such as the Balmer 
   jump, as parameterised by T_eff_, logg, and [Fe/H]. We use standard 
   passbands, a mean atmospheric extinction law measured at ESO/La Silla, 
   extended and modified by us, and the Kurucz library of synthetic spectra. 
   The true broadband atmospheric extinction is far more complicated than any 
   current reduction (transformation) methods consider. Hence all broadband 
   magnitude systems are fundamentally unphysical - they contain not the 
   extra-atmospheric magnitudes, but unobservable magnitudes whose relation to
   physical magnitudes is unknown, but may differ by 0.05mag or more for hot 
   and cool stars. Hence, it is hazardous to compare them to any synthetic 
   magnitude system derived from either synthetic spectra or spectral scans. 
   These problems exist to a lesser degree in intermediate band systems, but 
   narrow band systems are relatively immune from these complexities. We do not 
   treat either kind of system here. If our results were incorporated into a 
   photometric reduction program, and standard stars and program stars stars 
   carefully selected by metallicity and luminosity class, a standard magnitude
   system could be established that would be directly comparable to synthetic 
   systems. As a bonus, measurements of intrinsic flux variations at the 
   millimagnitude level would become more secure. We describe our own 
   operational photometric transformation program that incorporates only the 
   linear part of the dependence on colour of atmospheric extinction. Our 
   results and prescriptions are useful for aperture photoelectric photometry,
   but our implementation is aimed at CCD photometry of stellar populations.

File Summary:
--------------------------------------------------------------------------------
 FileName   Lrecl    Records    Explanations
--------------------------------------------------------------------------------
ReadMe          80          .    This file
coeff1          64        144   *Rational polynomial coefficients
coeff2         189        144   *Actual coefficients
diffb          139        638    Differential atmospheric extinction in UBVRI
diffw          139        638    Differential atmospheric extinction in CMT1T2
totb            75        638    Total atmospheric extinction in UBVRI
totw            65        638    Total atmospheric extinction in CMT1T2
--------------------------------------------------------------------------------
Note on coeff1 & coeff2: These tables show the coefficients of fits
 purely linear in temperature colour to the interstellar extinctions for all
 passbands considered. The lowest temperature model, 3500K, was
 excluded from ALL fits to B-V, because it is badly behaved there. The same
 temperature was also excluded from the fits to V-I and M-T2 for [Fe/H]=-2.0,
 because these temperature colours are not monotonic there.


Byte-by-byte Description of file: totb
--------------------------------------------------------------------------------
   Bytes Format  Units   Label    Explanations
--------------------------------------------------------------------------------
   1-  2  A2     ---     Star     Star type (1)
   4-  7  F4.1   mag     [Fe/H]   Metallicity
  10- 15  F6.0   K       Teff     Effective temperature
  19- 25  F7.5   mag     K(U)X    Total atmospheric extinction coefficient in U
                                   for airmass 1 (because U filter is defined by
                                   atmospheric cutoff, see paper II)
  29- 35  F7.5   mag     K(B)X    Total atmospheric extinction coefficient in B
                                   for airmass 1 (to allow calculation of U-B.)
  39- 45  F7.5   mag     K(B)     Total atmospheric extinction coefficient in B
                                   for airmass 0
  49- 55  F7.5   mag     K(V)     Total atmospheric extinction coefficient in V
                                   for airmass 0
  59- 65  F7.5   mag     K(R)     Total atmospheric extinction coefficient in R
                                   for airmass 0
  69- 75  F7.5   mag     K(I)     Total atmospheric extinction coefficient in I
                                   for airmass 0
--------------------------------------------------------------------------------
Note (1): MS = Main Sequence,
          RG = Red Giants (log(g)=2.5),
          SG = SuperGiants (i.e., the lowest surface gravity for that
                temperature in the Kurucz model family).
--------------------------------------------------------------------------------

Byte-by-byte Description of file: diffb
--------------------------------------------------------------------------------
   Bytes Format  Units   Label    Explanations
--------------------------------------------------------------------------------
   1-  2  A2     ---     Star     Star type (1)
   4-  7  F4.1   mag     [Fe/H]   Metallicity
   9- 14  F6.0   K       Teff     effective temperature
  17- 23  F7.4   mag     U-B      (U-B) colour index
  26- 31  F6.4   ---     K(U-B)   Differential atmospheric extinction
                                   coefficient in (U-B)
  34- 39  F6.4   ---     R1       K(U-B)/K(B-V) ratio
  42- 48  F7.4   mag     B-V      (B-V) colour index
  51- 56  F6.4   ---     K(B-V)   Differential atmospheric extinction
                                   coefficient in (B-V)
  59- 64  F6.4   ---     R2       K(B-V)/K(B-V) ratio
  67- 73  F7.4   mag     V-R      (V-R) colour index
  76- 81  F6.4   ---     K(V-R)   Differential atmospheric extinction
                                   coefficient in (V-R)
  84- 89  F6.4   ---     R3       K(V-R)/K(B-V) ratio
  92- 98  F7.4   mag     R-I      (R-I) colour index
 101-106  F6.4   ---     K(R-I)   Differential atmospheric extinction
                                   coefficient in (R-I)
 109-114  F6.4   ---     R4       K(R-I)/K(B-V) ratio
 117-123  F7.4   mag     V-I      (V-I) colour index
 126-131  F6.4   ---     K(V-I)   Differential atmospheric extinction
                                   coefficient in (V-I)
 134-139  F6.4   ---     R5       K(V-I)/K(B-V) ratio
--------------------------------------------------------------------------------
Note (1): MS = Main Sequence,
          RG = Red Giants (log(g)=2.5),
          SG = SuperGiants (i.e., the lowest surface gravity for that
                temperature in the Kurucz model family).
--------------------------------------------------------------------------------

Byte-by-byte Description of file: totw
--------------------------------------------------------------------------------
   Bytes Format  Units   Label    Explanations
--------------------------------------------------------------------------------
   1-  2  A2     ---     Star     Star type (1)
   4-  7  F4.1   mag     [Fe/H]   Metallicity
  10- 15  F6.0   K       Teff     Effective temperature
  19- 25  F7.5   ---     KC       Total atm. ext. for C
  29- 35  F7.5   ---     KM       Total atm. ext. for M
  39- 45  F7.5   ---     KT1      Total atm. ext. for T1
  49- 55  F7.5   ---     KT2      Total atm. ext. for T2
  59- 65  F7.5   ---     K51      Total atm. ext. for DDO 51
--------------------------------------------------------------------------------
Note (1): MS = Main Sequence,
          RG = Red Giants (log(g)=2.5),
          SG = SuperGiants (i.e., the lowest surface gravity for that
                temperature in the Kurucz model family).
--------------------------------------------------------------------------------

Byte-by-byte Description of file: diffw
--------------------------------------------------------------------------------
   Bytes Format  Units   Label    Explanations
--------------------------------------------------------------------------------
   1-  2  A2     ---     Star     Star type (1)
   4-  7  F4.1   mag     [Fe/H]   Metallicity
   9- 14  F6.0   K       Teff     effective temperature
  17- 23  F7.4   mag     C-M      (C-M) colour index
  26- 31  F6.4   ---     K(C-M)   Differential atmospheric extinction
                                   coefficient for (C-M)
  34- 39  F6.4   ---     R1       K(C-M)/K(M-T2) ratio
  42- 48  F7.4   mag     M-T1     (M-T1) colour index
  51- 56  F6.4   ---     K(M-T1)  Differential atmospheric extinction
                                   coefficient for (M-T1)
  59- 64  F6.4   ---     R2       K(M-T1)/K(M-T2) ratio
  67- 73  F7.4   mag     T1-T2    (T1-T2) colour index
  76- 81  F6.4   ---     K(T1-T2) Differential atmospheric extinction
                                   coefficient for (T1-T2)
  84- 89  F6.4   ---     R3       K(T1-T2)/K(M-T2) ratio
  92- 98  F7.4   mag     M-T2     (M-T2) colour index
 101-106  F6.4   ---     K(M-T2)  Differential atmospheric extinction
                                   coefficient for (M-T2)
 109-114  F6.4   ---     R4       K(M-T2)/K(M-T2) ratio
 117-123  F7.4   mag     M-51     (M-DDO51) colour index
 125-131  F7.4   ---     K(M-51)  Differential atmospheric extinction
                                   coefficient for (M-DDO51)
 133-139  F7.4   ---     R5       K(M-51)/K(M-T2) ratio
--------------------------------------------------------------------------------
Note (1): MS = Main Sequence,
          RG = Red Giants (log(g)=2.5),
          SG = SuperGiants (i.e., the lowest surface gravity for that
                temperature in the Kurucz model family).
--------------------------------------------------------------------------------

Byte-by-byte Description of file: coeff1
--------------------------------------------------------------------------------
   Bytes Format  Units   Label    Explanations
--------------------------------------------------------------------------------
   1-  2  A2     ---     Filter   Filters or quantity involved (1)
   4-  8  A5     ---     Band     Quantity, e.g., filter or colour
  12- 14  F3.1   cm/s2   logg     []? Surface gravity
      15  A1     ---   n_logg     [m ] Lowest surface gravity model when there
                                   is no value for logg (2)
  19- 22  F4.1   mag     [Fe/H]   Metallicity
      27  I1     ---     num      Numerator degree (3)
      33  I1     ---     den      Denominator degree (3)
  40- 49  E10.4  ---     MaxDev   Largest deviation (4)
  52- 57  F6.3   ---     TCmin    Lower boundary of the valid range of
                                   temperature colour for that fit (5)
  60- 64  F5.3   ---     TCmax    Upper boundary of the valid range of
                                   temperature colour for that fit (5)
--------------------------------------------------------------------------------
Note (1): UB = U, U-B
          BR = B, B-R
          BV = V, B-V
          VI = V-I
          CM = C, C-M
          M1 = M, M-T1
          M2 = M-T2
Note (2): 'm' means the lowest surface gravity model for that temperature in the
            Kurucz models, i.e., the SG=supergiants
Note (3): Degree of the numerator and the denominator of the best fitting
           rational  polynomial found (in some cases a linear fit was chosen
           without searching for a higher order fit). The numerator always stars
           with a_0, so there is one more coefficient in the numerator than the
           degree. The denominator starts with b_1.
Note (4): Largest deviation in extinction of the rational polynomial from any
           of the data points in the interstellar extinction table (dif* and
           tot*) for that fit, as returned by the Numerical Recipes routine
           'ratlsq'.
Note (5):  For the atmospheric extinctions the TCs are V-I and M-T2.
--------------------------------------------------------------------------------

Byte-by-byte Description of file: coeff2
--------------------------------------------------------------------------------
   Bytes Format  Units   Label    Explanations
--------------------------------------------------------------------------------
   1-  5  A5     ---     Band     Quantity, e.g., filter or colour
  10- 12  F3.1   cm/s2   logg     []? Surface gravity
      13  A1     ---   n_logg     [m ] Lowest surface gravity model when there
                                   is no value for logg (1)
  17- 20  F4.1   mag     [Fe/H]   Metallicity
  22- 32  E11.4  ---     a0       Coefficient a0 in the numerator
  34- 44  E11.4  ---     a1       Coefficient a1 in the numerator
  46- 56  E11.4  ---     a2       []? Coefficient a2 in the numerator
  58- 68  E11.4  ---     a3       []? Coefficient a3 in the numerator
  70- 80  E11.4  ---     a4       []? Coefficient a4 in the numerator
  82- 92  E11.4  ---     a5       []? Coefficient a5 in the numerator
  94-104  E11.4  ---     a6       []? Coefficient a6 in the numerator
 106-116  E11.4  ---     a7       []? Coefficient a7 in the numerator
 119-129  E11.4  ---     b1       []? Coefficient b1 in the denominator
 131-141  E11.4  ---     b2       []? Coefficient b2 in the denominator
 143-153  E11.4  ---     b3       []? Coefficient b3 in the denominator
 155-165  E11.4  ---     b4       []? Coefficient b4 in the denominator
 167-177  E11.4  ---     b5       []? Coefficient b5 in the denominator
 179-189  E11.4  ---     b6       []? Coefficient b6 in the denominator
--------------------------------------------------------------------------------
Note (1): 'm' means the lowest surface gravity model for that temperature in the
            Kurucz models, i.e., the SG=supergiants
--------------------------------------------------------------------------------
================================================================================
(End)                                           Patricia Bauer [CDS] 07-Sep-1994

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