I’m a bit late to the party.
The advice others have given here seems sound to me, and I have nothing specific to add so far as specific items of apparel are concerned.
Do keep in mind that no matter how knowledgeable about dress we may be, there’s only one expert here on the environment in which you work: you. So test the advice you receive against what you observe in your workplace. I’ve become convinced over the years that 90% of learning to dress better is learning to observe.
“Among other things, I teach the capstone course for graduating seniors. As part of that course, I ask the students to do presentations in business formal attire. I also dress business formal for the presentations. Bottom line is that, with few exceptions, I didn't think the students had a very good sense of style, fit, or quality. Ok, we are engineers, we usually dont think much about that, but maybe we should. I also want to see in students of all classifications, a sense professionalism, and I think appearance as an important element of that. In either case I think I could do a better job of setting the tone/being an example.”
Don’t lose sight of this: you’re doing this in some measure as part of your teaching, to instill in the students a sense of appropriate dress in your discipline. It might help to clarify your own thinking to run through various professional scenarios (an undergraduate interviewing for graduate school, a recent Ph.D. interviewing for a job, someone delivering a conference paper, and so forth) and imagine what might count as good dress in each.
I see that Claghorn has kindly bumped the old “Dress in Academia” thread. You’ll find it here:
Unlike the current thread, which will disappear in a few days, that one is a permanent (albeit an often inactive) fixture of the forum. You might find some food for thought in it.