Polyimides based on diamines containing cycloaliphatic units

A polyimide obtained by reacting

• A) a dianhydride component consisting of
• a.sub.1) from 50 to 100 mol % of at least one dianhydride of the formula I . ##STR14## where R is a tetravalent aromatic or heteroaromatic radical, with the exception of ##STR15## and a.sub.2) from 0 to 50 mol % of a pyromellitic dianhydride with
• B) a diamine component consisting of
• b.sub.1) from 50 to 100 mol % of at least one diamine of the formula II ##STR16## where R.sup.1 to R.sup.4 independently of one another, are identical or different and are hydrogen, halogen, C.sub.1 -C.sub.12 -alkyl, C.sub.1 -C.sub.12 -alkoxy, C.sub.5 -C.sub.7 -cycloalkyl, C.sub.6 -C.sub.18 -aryl, C.sub.4 - or C.sub.5 -hetaryl or C.sub.1 -C.sub.12 -alkyl-C.sub.6 -C.sub.18 -aryl,
• R.sup.5 and R.sup.6, independently of one another, are identical or different and can be individually selected for each C atom in the alicyclic ring and are hydrogen, C.sub.1 -C.sub.12 -alkyl, C.sub.1 -C.sub.12 -alkoxy, C.sub.5 -C.sub.7 -cycloalkyl, C.sub.6 -C.sub.18 -aryl, C.sub.4 - or C.sub.5 -hetaryl or C.sub.1 -C.sub.12 -alkyl-C.sub.6 -C.sub.18 -aryl, and
• m is an integer from 4 to 7, and
• b.sub.2) from 0 to 50 mol % of at least one diamine of the formula III ##STR17## where X, Y and Z, independently of one another, are identical or different and are a chemical bond or are selected from the group consisting of --O--, --CO--, --S--, --SO.sub.2 --, --C(CH.sub.3).sub.2 --, --C(CF.sub.3).sub.2 -- and --Si(CH.sub.3).sub.2 -- and
• r and s, independently of one another, are identical or different and are 0 or 1,
• with the proviso that the component A is a mixture of a.sub.1 and a.sub.2 if the component B consists only of b.sub.1 and component B is a mixture of b.sub.1 and b.sub.2 if the component A consists only of a.sub.1.