Beechjet 400
Flight Crew Air Transport Pilot (ATP)
Aircraft Equipment Problem Less Severe
Flight Crew Diverted; Flight Crew FLC complied w / Automation / Advisory; Flight Crew Landed in Emergency Condition
Aircraft
[I] was PIC and Pilot Flying; First Officer (FO) was SIC and Pilot Not Flying. Normal start; and taxi from ZZZ. After we departed we received vectors to our first fix. Normal climb through 10;000 feet. Once we past 18;000 feet; the airplane yawed to the left; I took control and at the same time I looked at my engine gauges from top to bottom; I saw my LEFT N1; LEFT ITT; LEFT fuel flow and LEFT N2 roll back. My LEFT oil pressure gauge went to zero but oil temp stayed in the green. Like I said I took control of the airplane. I told the FO to take out the emergency check list and to [advise ATC]. We requested a lower altitude and vectors to the nearest airport. ATC told us ZZZ1 was VFR and gave us vectors to go there. We followed the engine failure and shut down checklist; after that we did the single engine approach and landing checklist. Normal landing on Runway XYL and normal taxi in. Then a normal shut down.
BE40 Captain reported an engine failure on climbout and subsequent diversion.