Hmmm;
Chloroform? I have never heard of such a thing. Where are you in this world? If in the States you can contact a purveyor of Plastic for displays and they can probably sell you the right Glue. It is a liquid, It is NOT Chloroform either.
Secondly all the edges of your case have to be polished to a very clear finish. That's so when the glue runs between the perfectly STRAIGHT and LEVEL pieces it dries clear and un-noticeable. To achieve this you NEED an 36" minimum straightedge to use in the shop. You cannot have any variations or it will not hold.
Although inconvienent I use "TAP" plastics in California. At least those employees and staff don't have their head, - Well, You know. Here in TEXAS they don't even have enough smarts to automatically know, for an outside display, because of the Sun, you use NON-Glare surface Lexan!
After seeing this at my Museum. When I was elected President I am very careful about buying Plastic Sheet.. Plastic sheet ain't cheap! Oh, Plastruct makes a good glue for that and so does Flexi-File Brand!