I accidentally emptied my Recycle Bin of files. Is there any way to recover these files?
Once you have deleted them from Recycle Bin they are gone (sort of) from your system. You will need to use a file recovery tool. I personally use Recuva, which as served me well, but there are plenty to choose from. If you are using Mac I can not recommend tools as I don't have enough system knowledge here.
Might I also note if you have files in Recycle Bin they will get deleted after a set period of time, so I suggest you don't put files in there you actually want to keep.
For Linux I have used PhotoRec, but this also works for Windows and Mac.