Djokovic gained the early mini-break in the tiebreak and always kept his nose in front.
Tsonga started strongly to break the favorite, but Djokovic retrieved it before winning the first set tiebreak.
The second set was equally competitive with the world No.6 eventually prevailing in a more even tiebreak contest.
Both players were evenly matched throughout the opening set, Kafelnikov only taking the advantage 8-6 in the tiebreak.
Despite failing to convert four break point opportunities in the opening set, Ferrer went on to dominate the tiebreak.
Krajicek wasted five match points but finally came through 15-13 in a third-set tiebreak to win 3-6 6-3 7-6.
Once Djokovic took the fourth-set tiebreak, Tsonga folded quickly: 6-1 Djokovic it went.
Third-seed Venus had looked a nailed-on winner until the second-set tiebreak, at which point her serve inexplicably deserted her.
Agassi came from 3-1 down to win the first-set tiebreak, hitting a forehand winner off Kuerten's short service return.
Davenport prevailed in a baseline battle, winning the first tiebreak for the loss of just two points before edging the second 7-5.
The best score is used as the tiebreak on the first extra end or, if tied again, on the second extra end.
The third seed, who beat Federer to win the Olympic title last month, led by two tiebreak sets until wilting in the third.
Australia's Wayne Arthurs had a tough first set against Bob Bryan of the USA, winning a tiebreak 19-17, then took the second 7-5. 7-5.
However, the Scot was broken back as he served for the set at 5-4 and the match went into a concluding tiebreak, which proved a classic.
Li survived a set point in the ninth game before holding, then broke Williams' serve in the next game on the way to forcing a tense tiebreak.
Extending a tiebreak that deep requires fierce mental tenacity (and usually, a big serve) and a player unmotivated to stay in London would be flushed out fast.
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He closed out the tiebreak and the match as Murray hit long, but admitted after his win that the latter stages of the second set were crucial.
Federer held two match points in the second set tiebreak but they both went begging as Berdych won a thrilling match 3-6 7-6 6-4 against the five-time champion.
The eighth seed led 2-0 and 30-0 but Pervak broke back and was dominant in the tiebreak, winning it 7-1 for her first victory over a top ten player.
The second set went with serve but Henman's greater experience told in the tiebreak which he won 7-5 to reach his first final since losing to Federer at Indian Wells 2004.
With the tiebreak coming into play when two players are tied at six games apiece, this shortens the potential for marathon matches and was first widely used in the professional game.
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Federer had never lost a tiebreak in a U.S. Open final, winning his four previous ones, but Del Potro ended that sequence by taking the tie-break 7-5 to tie the scores.
Murray's retirement came as something of a surprise after he had fought back from losing the opening set 6-3 and being down 4-1 in the second to level the match following a tiebreak.
Murray also struggled to hold in the fourth, but a gritty effort took him to the third tiebreak of the match, which he won 7-4 to progress after over three and a half hours.
The Argentinean, who won the 14th ATP title of his career in Rotterdam recently, came close to losing the contest at 4-5 in the deciding set but battled back to take it on a tiebreak.
Johansson led by two sets to one but his game crumbled after losing a fourth set tiebreak and Lapentti, the world number 90, raced through the decider to win 6-3 3-6 3-6 7-6 (7-4) 7-0.
Tenth seed Caroline Wozniacki of Denmark also failed in her bid to reach the second round, as the former world number one let slip a 5-2 lead against 48th-ranked Bojana Jovanovski in a third set tiebreak.
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Djokovic returned the compliment in the third set to lead two sets to one, but he could not force home the advantage and he lost a fourth set tiebreak 8-6 as Isner set up a decider.
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But Soderling never looked back after breezing through the first set of their fourth round match and closed out victory as Nadal sent a volley wide after bravely saving a matchpoint in the fourth set tiebreak.
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