Abundances for M92
  Fe-peak elements 
     
-  [Fe/H] = -2.2
        -  There is some evidence for some small variation from star to star
            
-  Langer et al 1998, AJ, 115, 685
            
-  Based on a sample of 3 stars, but over 100 lines per star
	    
-  Two of the stars showed no measurable difference
	    
-  The other was 0.18 dex higher, in Fe and other Fe-peak elements
     
 
 
-  Some evidence for a lower [Fe/H] in the subgiants!
        -  Average of 5 subgiants was [Fe/H] = -2.52
            
-  King et al 1998, AJ, 115, 666
            
-  This could be due to gravtitational settling
	    
-  See Richard et al, 2002, ApJ, 580, 1100
	    
-  They predict variatioins in Fe-peak stuff by factors of 2-10
	    
-  Should be most noticeable in metal-poor systems (like M92!)
	    
-  But predicted effect is larger than observed...
     
 
 
-  Other Fe-peak
        -  Data from Sneden et al 2000, AJ, 120, 1363, for  34 giants in M92 
            
-  Graph shows results for  Ca, Na and Ba 
	    
-  Ca shows no variation with Te or from star-to-star
	    
-  Na shows a large spread and it  correlates  with N
	    
-  No variation of Ba with Te or from star-to-star (See also below)
 
  n-capture elements 
     
-  Sneden et al showed  no Ba variation  in 34 giants 
     
-  Armosky et al 1994 looked at 9 giants and showed  no variation in Ba
     
-  The also showed no variation in  Nd 
     -  They showed that average of various s-elements was constant with  T_e  as well as  [O/Na].
     
-  Shetrone 1996 looked at various things (See below) including Eu, which showed  no variation 
     
-  Combining Shetraone's data with Sneden allowed estimates of [Ba/Eu] for precisely *two* stars! The value was -0.4, which indicates a pure r-process.
     
-  Armosky et al 1994, AJ, 108, 1364 
     
-  Sneden et al 2000,AJ, 120, 1351
     
-  Shetrone 1996, AJ, 112, 1517
  Alpha elements 
     
-  Mg, Ca, Si and Ti: Not a lot of data!
        -  Shetrone 1996 showed that  Mg decreased as Al increased
            
-  Sneden et al 1991 claim that there is a high-O and a low-O  population
	    
-  The low-O stars are not seen in the field! This is shown in the  previous  graph, where field stars are shown with squares.
	    
-  Note that there is a strong  correlation with N  which implicates ON cycling
	    
-  Is there a variation of O with  L? 
            
-  Sneden et al also point out that there is a reasonably large3 spread in Si and Ti from one globular cluster to another. Since these elements are made by 20-25Msun supernovae, this could be telling us about variations in the IMF.
            
-  For M92: <[Si/Fe]> = +0.59, but in others it caries from 0.2 to 0.6
	    
-  Sneden et al 1991, AJ, 102, 2001
     
 
  C and N 
     
-  Obvious variation with L and a large spread at a given L!
     
-  Langer and Kraft 1994 (PASP, 96, 339) looked  at giants in many clusters and plotted C vs N, withlines of constant C+N. 
     
        -  The plot for  M3  shows that the variations here are consistent with a small spread in C+N and then processig of C into N
	
-  Their plot for  field giants with [Fe/H] > -2  shows  little evidence for CN cylcing.
	
-  Their plot for  field giants with [Fe/H] < -2  shows  stronger evidence for CN cylcing.
	
-  Their plot for  M92  shows evidence for CN cylcing as well as a very large spread in the intrinsic C+N!
	
-  This is very similar to the case of  M15  which has similar metallicity to M92.
     
 
-  Norris and Pilachowski (1985, APJ, 299, 295) show that the distribution of (C+N) 
may be  bimodal. Note that this is based on one bin with very few stars :-) If the bin at 0.0 on x-axis was filled, we would have a nice Gaussian!
     
-  Langer et al 1986 (PASP, 98, 473) show a nice plot of  C vs L  which shows the clear burning of C and also the spread in C at a given L
     
-  At what L does this decrease start? Maybe at M_V = 2? Maybe lower??? M_V=1.5 (V=16.1 since m-M = 14.6) is about where the spread appears (is this due to lack of data at lower L?)
     
-  This is well below the bump in the luminosity function which is at M_V = -0.4 or V= 14.2(Bellman et al 2001, PASP, 113, 326). Note the HR diagrams for the  upper  and  lower luminosities. 
     
-  Recall that the bump in the LF is simply where the H shell burns through the innermost extent of the convective envelope, from the first dredge-up. This then removes the abundance discontinuity, which the deep-micing experts reckon then removes the mu-gradien which ahs been the barrier to deep-mixing prior to this event.
     
-  But the first dredge-up will change C and that occurs up to 2 magnitudes below the bump! See the  movies  on my home page. We should do this for the correct compositions though.
     
-  However, Snmith and Martel 2003 (PASP, 115, 1211) calculated the gradient d[C/Fe]/dt and found that it is remarkably constant from cluster to cluster, at a value about 0.22. However, it is the same above and below the bump. It seems to me that first dredge-up and deep-mixing should not give the same values. Maybe they are being muddied by the spread in C at a given L? Need to do some theoretical calculations using deep micing, to compare. 
     
-  On another tack, Pilachowski (1988, ApJ, 326, L57) showed that C+N+O was very constant in a set of 6 giants, and that  ON cycling  was involved.
     
  Na and Al 
     
-  Shetrone 1996 showed that  Na went up as Al went up  as expected when NeNa and MgAl cycles operate
     
-  Similarly, Shetrone showed that  O went down as Al went up , with the same explanation as the previous graph
     
-  Is there a variation of  Al with L?  Need more data!
     
-  These abundances also seem to be present in subgiants according to data for 5 subgiants (King et al, 1998, AJ, 115, 666). Comparing to a typical field star with similar [Fe/H], they conclude that the sbgiants are  different   to field stars, but similar to giants: increased Na and decreased Mg. Need more data!
     
  Constraints from Li 
     
-  Various people have looked at Li in subgiants in M92. It appears that they have A(Li) about 2.3 +- 0.2.
     
-  Pilachowski et al 2000 looked for Li in giants in M92, and found none. This is consistent wqith dilution once the convective envelope expands.
     
-  But how did the subgiants get an envelope which has NeNa and MgAl processed material, but still has A(Li)=2.3????
     
-  Pilachowski et al 2000, AJ, 119, 2895
     
-  Boesgaard et al 1998, ApJ, 493, 206
     
-  Deliyannis et al, 1995, ApJ, 452, L13
     
-  Bonifacio, 2002, A&A, 395, 515
 
  Below the Giant Branch?
     
-  The only info I could find was for 5 subgiants (King et al 1998, AJ, 115, 666). Comparing to a typical field star with similar [Fe/H], they conclude that the subgiants are  different   to field stars, but similar to giants: increased Na and decreased Mg. Need more data!