Sulzer's shot appeared to bounce off the ice and in the net over Nabokov's shoulder.
Ryan McCluskey's initial shot was well saved by Matthews who could then only watch as Braniff's left-foot shot took a bounce and flew into the net.
Germany may feel the decision atones for 1966, when England were famously awarded a third goal even though Geoff Hurst's shot appeared to bounce down on the line.
CNN: Germany thrashes England to reach World Cup quarterfinals
After watching his shot deflect off the post and wide of the net 7 minutes into the third period, Green got a much better bounce on another shot from the same spot with 40 seconds remaining.
The Scotland striker spun off Bamba and latched on to a long hopeful pass, allowing it to bounce once then crashing a shot over Dorus De Vries from all of 30 yards.
BBC: SPORT | Football | Scottish Cups | Dunfermline Ath 0-2 Rangers
Zlatan Ibrahimovic hit the set-piece against the wall before his miscued volley fell to Mellberg, whose shot was parried by Joe Hart only to bounce off Glen Johnson and over the line.
Soon after the interval, Malouda raced clear after Grounds misjudged the bounce of the ball, but the winger shot wide when he should have scored.
Twelve minutes later Hassan atoned for his part in the goal, finding himself in acres of space and hitting a swerving shot from 30 yards which keeper Carlos Kameni allowed to bounce in front of him and into the net.
Marcus Tudgay then went close after the break with a goalbound shot that was blocked, before substitute Adebola saw his effort bounce off the woodwork.
But the visitors came even closer moments later when Edwards saw his stinging shot from 25 yards come back off the underside of the crossbar and bounce to safety.
Bell, playing exactly the sort of shot he should have avoided, a square cut off a Morkel ball which had extra bounce, picked out gully where AB de Villiers pulled off an excellent catch.
They were leading 59-58 after that shot, and they were up by two before Boozer converted a three-point play off a neat bounce pass from Taj Gibson in the closing seconds to send Chicago into the fourth quarter with a 69-68 lead.
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