Citation III; VI; VII (C650)
Air Traffic Control Fully Certified
Situational Awareness
ATC Issue All Types
General None Reported / Taken
Human Factors
I took over the High Sector and there were four airplanes. I sat down at the beginning of the session and realized a C650 was going to clip the southwest corner of Sector X within two minutes. The aircraft was roughly 10 miles from the boundary when I noticed. I checked URET to see if a point out had been accomplished. No point out. I quick looked [Sector] X to see if they were watching the data block; they were not. I quickly PVD'd the data block to [Sector] X and initiated a point out; they accepted. I also asked if they had received a point out or a flash through hand off before I had called. Sector X said no. There was no error or deviation; but it was unsafe that this information was not coordinated in the position relief briefing. This was a classic case of complacency and not paying attention. There were only four aircraft on the scope in a very large sector. I realize that mistakes like this can happen when you are busy. But what makes me upset is that the previous Controller who made the mistake was actively engaged in a non ATC conversation with the Front Line Manager when I offered the Controller a break. They were so busy talking about non-ATC related stuff that the Controller completely missed the point out; and didn't even notice when they pointed at the C560 with the cursor and told me that the aircraft was handed off; but not shipped. Every controller including myself; needs to do their job and be actively engaged with the traffic. The Controller I relieved and the Front Line Manager were not focused on ATC. Please make complacent controllers and supervisors accountable for their actions. I believe in the reporting program/s; but fear many people are complacent with air traffic because they don't fear punishment or skill enhancement or embarrassment anymore.
Enroute Controller described an unsafe condition event when a relieved controller engaged in non ATC conversations with the FLM and failed to complete required actions.