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European Grand Prix pole-sitter Hamilton was leading the Brazilian veteran by around four seconds prior to his second stop on lap 37 on Sunday, but his afternoon came unstuck when McLaren's mechanics failed to have a new set of tyres ready.
The incident cost Hamilton around six seconds and allowed the hard-charging Barrichello through for his first victory since the 2004 Chinese Grand Prix.
A great day for Brawn was made better by Jenson Button's damage-limiting drive to seventh, ahead of his nearest rival in the drivers' standings heading into this weekend, Red Bull's Mark Webber, who finished outside the points in ninth.
Webber's team-mate Sebastian Vettel suffered an engine failure for the second day in succession to bring a premature end to his afternoon, and Brawn come away from Spain looking stronger than ever to claim both world titles.
Button's lead in the drivers' championship is now 18 points over Barrichello, while Webber is now 20.5 points back and Vettel 25. Brawn are 27.5 points clear of Red Bull in the constructors' championship.
It's not often you hear of a company that wants a zero score - but Renault's plans depend on it.
Tired of dumbed-down ads for car products? Try this one by footballer Ronaldo for size.
A new craze among US drivers to employ fanatical fuel-saving methods is coming to a road near you.