Skipper Clarke claimed his third century in five Ashes Tests and the 26th in his 99th Test, while vice-captain Haddin blasted four sixes and 11 fours in his fourth Test ton.
The pair put on 200 runs for the sixth wicket -- the highest sixth-wicket stand in all Tests in Adelaide, eclipsing the 191 shared by Imran Khan and Wasim Akram for Pakistan in 1990.
At tea, the home side were 516 for eight with Haddin unbeaten on 108 and Ryan Harris not out 29.
Clarke, dropped by Ian Bell at short leg on 91, played the captain's knock while Haddin chanced his luck to bring up his third consecutive score over 50 in the series.
Clarke was finally caught by a diving Jimmy Anderson at mid-wicket on 148 to give debutant Ben Stokes his first Test wicket.
England suffered a cruel blow when Haddin was given out for a catch behind off Stokes for 51, only to be recalled by the umpire when Stokes was found to have over-stepped for a no-ball -- cancelling out his first Test wicket.
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