As someone that has built my fair share of Acrylic tanks I can tell you what myself and the pros would use. And when I say pros I don't mean the cheap butt trueview crap, I mean quality custom aquariums. If you don't want the tank visibly bowing.. and why would you? These are the thicknesses I would suggest (these are for eurobraced tanks with at least 4" wide euro bracing all around and one cross brace per 30".
18-25" tall - 3/4" thick
25-33" tall 1"
33-40" tall 1/1/4
James at envision acrylics convinced me to bump up to 1" acrylic on my 8'x4'x30" tank and I couldn't be happier that i did. Absolutely zero defection. None.
Or you can bump down a whole size and have a tank with a bow in it, structurally it will be fine but have fun scrapping corraline off of a curved surface.