Typical separation en route in airways above 10,000 feet are vertical 1000'ft and 5 miles (this changes to 3 miles within the terminal environment) for lateral separation. Differences do apply between IFR and VFR flights and for military.  Here's a link:  aviation.stackexchange.com/questions/2806/how-much-is-the-minimum-safe-distance-between-two-planes-in-flight