Medium Transport; Low Wing; 2 Turbojet Eng
Situational Awareness; Fatigue
Deviation / Discrepancy - Procedural Published Material / Policy; Deviation / Discrepancy - Procedural Clearance; Ground Incursion Runway
Flight Crew Became Reoriented
Human Factors
I taxied out to runway 10L/DD. I always read back taxi instructions and even verbalize upcoming taxiways and clearances as I approach them. We were cleared on to 10L/DD and I taxied into position -only facing the wrong way. My First Officer (FO) thought I may be taking the turn wide. He immediately said something and I turned the aircraft into proper position. My FO told ATC we were making the turn. Once we were in position; ATC asked if we were ready now; and my FO told them we were ready. We took off without further incident.I am afraid I know all too well the runways in ORD. It had nothing to do with lack of familiarity with the airport - even with the unusual taxi due to construction. We announced all clearances and verified all intentions. I have never flown with my FO yet; however; he was very attentive and knowledgeable.But; I believe; after looking back on yesterday; I must have been fatigued. I flew in from [Europe] the day before (I had a couple of days of meetings); spent 15 hours at my house which included laundry; unpacking; making dinner for my children; getting one to swim practice; making breakfast and getting the other off to school; repacking; doing the dishes; and refueling the car; before making the 2 hour journey back to ORD.Simple tasks and words escaped me yesterday; yet I didn't seem to recognize that I was having any sort of problem.I believe I bit off more than I can chew. I am not as young as I used to be and perhaps my ability to bounce back after an overseas flight is not as strong as it once was. (I used to do 5 international flights a month at another airline many years ago). I do think I will need to leave more time for recovery in the future.
Air carrier Captain reported making a wrong turn while taxiing into position for takeoff. Fatigue was cited as a contributing factor.