However, the world No 61 broke back in the fifth courtesy of a stunning backhand return down the line before holding serve for the first time, and she was right back in it when she broke for a second time in the ninth game to trail only 5-4.
The 22-year-old fought back from a dreadful start to take the first set to a tie-break, but ultimately went down 7-6 (6), 6-4 against the 14th seed to miss out on a last-16 clash with the American McCartney Kessler, who had earlier dumped Coco Gauff, the world No 3, out of the tournament.
Raducanu’s disappointment was compounded when she was broken again in the first game of the second set and after failing to convert any of the three break points she earned in the sixth game, it was Muchova who edged across the line 6-4.
The 25-year-old – ranked No 53 in the world – took the first set 6-4 and immediately broke in the first game of the second to pile on the pressure.
Gauff too went out in straight sets as her compatriot Kessler claimed a first win against a top 10-ranked player.