Transmutation
In 1919, Ernest Rutherford (the man who discovered the nucleus) and his research group became the first people to cause 
transmutation - the changing of one nucleus into another.  While they didn't change lead into gold, they were the first to control a nuclear change instead of simply relying on nature.  They shot a sample of the isotope Nitrogen-14 with a beam of alpha particles as shown below:
| 
|  |  |  |  |  |  |  |  |  |  |  |  
| 14 |  |  | 4 |  |  | 17 |  |  | 1 |  |  
|  | N | + |  | He | → |  | O | + |  | H |  
| 7 |  |  | 2 |  |  | 8 |  |  | 1 |  |  | 
If you look carefully, you'll note that they actually caused transmutation in  
two elements:  Nitrogen-14 became Oxygen-17, and Helium-4 (the alpha particle) became Hydrogen-1.  Over the years, scientists have smashed different elements together to create a large number of different isotopes, many of which do not exist in nature.
Neutrons also can be used to cause transmutation, as we'll see next.