A DEP HAWKER 800XP TURNS TO INTERCEPT THE PROGRAMMED RADIAL PRIOR TO RECEIVING A RADAR VECTOR FROM DEP CTLR 4 MI NW OF LAX; CA.

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I OBTAINED THE CLRNC FROM LAX CLRNC DELIVERY AND; AFTER A MISUNDERSTANDING; I BRIEFED MY SIC ON WHAT I BELIEVED TO BE THE CLRNC. THE CLRNC SHOULD HAVE BEEN TKOF HEADING 250 DEGS; THEN RADAR VECTORS TO LAX 316 DEG RADIAL. I BRIEFED TO TKOF HEADING 250 DEGS; THEN INTERCEPT THE LAX 316 DEG RADIAL. AFTER TKOF I DID NOT HEAR TWR TELL US TO CONTACT DEP CTL. ONCE WE WERE ESTABLISHED ON THE 316 DEG RADIAL; I ASKED TWR IF THEY WANTED US ON DEP FREQ. THE ANSWER WAS YES. I WENT TO DEP AND THEY ASKED IF I HAD BEEN CLRED TO TURN. I ANSWERED THAT I THOUGHT THAT WAS MY CLRNC. I ASKED FOR A PHONE NUMBER TO DISCUSS IT ON THE GND. I BRIEFED MY COMPANY FIRST. THEY CALLED SOCAL AND THEN I CALLED. THE SUPVR ASKED IF I KNEW HOW I SHOULD HAVE FLOWN THE DEP AND I SAID I DO NOW. HE SAID THAT WOULD BE ALL HE NEEDED AND THERE WOULD BE NO PAPERWORK. LESSON LEARNED: INSURE YOU KNOW EXACTLY WHAT A CLRNC IS; EVEN IF THE PERSON GIVING THE CLRNC IS SPEAKING VERY FAST AND SOUNDS IRRITATED BECAUSE YOU HAVE ALREADY ASKED HIM TO REPEAT IT ONCE.