It's not very often I see a S Class Star.

It's not very often I see a S Class Star.
They do seem quite rare. I just found my first one on yesterday. I then found an SM star nearby the S star today. Pretty neat finds.
When I made my first trip to Sagittarius A* I found S carbon stars quite often while traversing the Western Beta neutron field, but pretty much never outside of that region. The same went for everything else that is rare: Go to a neutron field and you'll find it rather sooner than later, while everywhere else it remains rare. My conclusion was that the neutron fields are pretty unbalanced - but I terribly enjoyed them while I was there
Since that time I have always noted down the different star types of rare stars that I encounter. For S stars I have come up with the following types so far:
- S0 IIIAB
- S1 IIIAB
- S2 IIIB
- S2 IIIAB
- S3 IIIB
- S4 IIIB
- S5 IIIB
Being no astrophycist, I wonder why there are IIIB and IIIAB luminosity classes but no IIIA class? Another thing is that in my sample some spectral types have IIIAB luminosity only (S0, S1), others have IIIB only (S3, S4 S5), while only S2 has both. So did I miss, for instance, S0 IIIB?
Until I know the answers to these questions I'll keep hunting for more S stars.
AISHAIND TP-V D3-571
S4 IIIB in binary with M4 IIIB with a landable planet, fantastic view.
http://i.imgur.com/9jLY7dJ.jpg
DRYUAE AUSCS HU-D D13-2145, there is also a S4 IIIB with a landable planet at ~475 Ls, it's about 10 months ago as it crossed my way, and I did not land there because I was in a rush
This one sits in a cluster hard to reach, and it appears to be a one way trip.
Being no astrophycist, I wonder why there are IIIB and IIIAB luminosity classes but no IIIA class? Another thing is that in my sample some spectral types have IIIAB luminosity only (S0, S1), others have IIIB only (S3, S4 S5), while only S2 has both. So did I miss, for instance, S0 IIIB?
Until I know the answers to these questions I'll keep hunting for more S stars.
For 'S' class, the drop in temperature is just so important that an A luminosity subclass is nearly impossible.
For your second question, half of the answer is explained already, the other half lies in what the numbers means : They are a simple subclassification determined by the star's temperature, so : 'S0' is way hotter than 'S5'.
Following that and what was explained earlier, 'S0' to 'S2' 's Teff is high enough so that their luminosity can be classified 'AB', while 'S3' to 'S5' (and lower)'s Teff isn't hot enough, and thus their luminosity isn't high enough to be classified higher than 'B'.