Star Trek has been making up fictitious materials since season 1 -- dilithium, for instance, which (in an Animated Series episode, was said to have a helical structure similar to DNA).
Some of these, however, have similar names and are used in similar contexts to real world materials. For instance, Duranium, which we're told comprises the internal partitions in the Enterprise D, seems linguistically similar to "duraluminum" -- which was an aluminum alloy used for aircraft frames and skins for many years, before the name fell out of favor, replaced by more specific alloy names -- and titanium, a metal both lighter than aluminum and stronger than steel. We also hear about Tritanium, the main structural material of the Enterprise D, which also sounds like it might be a titanium alloy.
Obviously, there aren't a bunch of newly discovered elements in the 22nd, 23rd and 24th centuries, so these materials have to be compounds or alloys, or they'd be too radioactive to use in ships for long term human occupancy (all elements above atomic number 92 are radioactive to some level).
Are we ever actually told whether Duranium and Tritanium are actually titanium alloys or allotropes (alternate crystal habits) of titanium, or Something Else?