In STIV, when Chekov is captured by the United States Navy and Interrogated, They confiscate his phaser, I.D. badge thingy, and his communicator. He escapes without retrieving any of it. What do you supposed happened to it? Surely even if it wasn't working due to the Radiation....shrug.... Surely his gear would have been studied and found to be advanced. Which brings me to the next question, why did he bring all that stuff? They really only needed the collector and one communicator, why even beam in at all? They showed the particles could be transported... Why not have Scotty just beam them directly out of the reactor into the collector?