WRONG DIRECTION TURN ON PUBLISHED DEP FROM LGA BY ACR FLC CAUSES TFC ALERT ISSUED BY DEP CTLR.

Narrative

ASSIGNED LGA RWY 13 FOR DEP WITH WHITESTONE CLBOUT TO PARKE INTXN. DURING TAXI OUT; CAPT BRIEFED CREW (FO) ON DEP ROUTING. MISTAKENLY BRIEFS R TURN TO 040 DEG HDG AT LGA 2.5 DME INSTEAD OF L TURN. FO DID NOT CATCH MISTAKE. AFTER TKOF AND LGA 2.5 DME; CAPT BEGAN R TURN. FO SAYS 'R TURN? THAT'S THE LONG WAY AROUND.' I LOOKED DOWN AT THE DEP PLATE AND REALIZED THE ERROR. I BEGAN AN IMMEDIATE 30 DEG BANK IN THE OPPOSITE DIRECTION. LGA DEP ASKED US TO EXPEDITE TURN AND CLB AS WE WERE NEARING JFK AIRSPACE. HE ASKED US TO CONFIRM WE WERE IN A L TURN. WE ACKNOWLEDGED THAT WE WERE; ATC ISSUED TFC WARNING AT 1-2 O'CLOCK AT 2000 FT. WE WERE CLBING THROUGH 3200 FT AT THE TIME AND LOOKED FOR TFC. WE THEN CONTINUED ON DEP. LGA 8 DEP IS A VERY COMPLICATED PLATE; WITH 4 RWY COMBINATIONS AND 4 CLB OPTIONS. IN MY OPINION; TOO MUCH INFO ON 1 PLATE. THE FACT THAT THE ERROR IN MY BRIEFING WAS NOT CAUGHT BY THE FO INDICATES THAT EITHER HE WAS NOT READY TO BRIEF OR PERHAPS I WAS TOO FAST AND NOT THOROUGH ENOUGH AND HE ASSUMED I WAS CORRECT IN MY STATEMENTS.