AN ARTCC RADAR CTLR ERRONEOUSLY TRANSPOSED ACFT LOCATIONS AND CLBED A LEARJET THROUGH AN OCCUPIED ALT. THE CTLR WAS DISTRACTED BY ATTEMPTS TO SPLIT THE SECTOR.

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I CLBED THE LEARJET TO FL310; REF THE DC9; WHO WAS AT FL330; HEADING E. THE LEAR WAS HEADING N. IN ADDITION; THERE WAS AN ACFT SBOUND CLBING TO FL330; ON A HEADING TO AVOID THE DC9. I WAS FAIRLY BUSY AT THE TIME; AND I WAS SUPPOSED TO BE SPLITTING OUT THE SUPER-HIGH SECTOR AT THIS TIME. WHILE I WAS TRYING TO ACCOMPLISH A FEW LAST TASKS BEFORE SPLITTING OUT THE SUPER-HIGH; I ERRONEOUSLY THOUGHT THAT THE SBOUND ACFT WAS MY INITIAL TFC FOR THE LEAR. SEEING THAT I HAD AMPLE LATERAL SEPARATION WITH THE SBOUND AND THE LEAR; I CLBED THE LEAR TO FL370; HAVING OVERLOOKED THE DC9. WHEN I REALIZED MY ERROR; I TRIED TO STOP THE LEAR BEFORE IT BEGAN TO CLB; BUT WAS UNABLE TO DO SO. THE REASON TRAINING WAS A FACTOR WAS THAT THERE WAS A NEW D-SIDE TRAINEE WORKING NEXT TO ME. HAD THERE BEEN AN FPL; I WOULD HAVE ASKED HIM/HER TO SPLIT OUT THE SECTOR FOR ME; THEREBY GREATLY DECREASING MY WORKLOAD. OUR CTR HAS NOT REALLY HAD NEW D-SIDE TRAINEES FOR QUITE SOME TIME; SO I WAS NOT USED TO THE SIT. LOOKING BACK; I BELIEVE I WOULD HAVE BEEN BETTER OFF GETTING A TRACKER TO SPLIT OFF THE SECTOR FOR ME. IN ADDITION; THE SUPER-HIGH WAS ALREADY OPENED; WITH ALL THE HDOFS; JUST WAITING TO GET A BRIEFING FROM ME. THE LONGER I WAITED; THE MORE CONFUSING THE BRIEFING WOULD BE. I REALLY WANTED TO GET THE BRIEFING OVER WITH; BUT DIDN'T FEEL I HAD THE TIME JUST YET. I FELT A TREMENDOUS AMOUNT OF DISTR WITH THE WHOLE SIT. I THINK THAT MY DISTR WAS A KEY FACTOR IN THIS INCIDENT.