"absolute rapture" is correct and can be used in written English.
Example: "As she stepped onto the stage to accept her award, she was overcome with absolute rapture, tears streaming down her face."
The look on his face expresses, at one and the same time, his absolute rapture at this strange, delightful creature -- and his no-less-absolute bafflement as to why he should suddenly feel this way.
And the faces of the lawyers themselves, some new, some young and starry-eyed, others more seasoned and experienced in dealing with human suffering, all expressing excitement and enthusiasm, absolute rapture in knowing they made a difference.
The crowd went into absolute raptures in response to a South American-born activist, Robinson, who couldn't tell them his surname for fear of reprisals, spoke in quickfire-interpreted Spanish, and rocked the house.
After the first, fine, careless rapture of cubism, art lost its absolute certainties.
Oddly, my rapture has cooled.
Rapture and ecstasy, ecstasy and rapture!
(Cue the rapture predictions once more).
