After the last radium reduction, and they are back home telling their daughter a bedtime story, Marie's necklace length changes when the camera moves in for a closeup.
When Pierre and Marie wake up from their nap in the lab, the blanket is on the shoulder in one cut, but off in the next.
When Marie is sitting comatose in the parlor, and the old professor is giving her a pep-talk to snap her out of her depression, he tells her there are more stars to catch between her fingers. As she sits there motionless, there is a bottle and small pile of pills on the table next to her. Then the professor leaves and she awakens from her trance, she gets out of her chair ... but now the table has fabric laying across it where the bottle of pills once was. The fabric might be a shawl, but then the audience does not see her remove it.
When Pierre looks at the final crystalization, Marie has a shawl over both shoulders, then only the right, then on both again but pulled back slightly, then on both again fully.
After Pierre's street accident, when the men come to tell Marie, she comes into the hallway and puts her hand on the dowel of the railing; in the next shot, her hand is down, and she puts it up on the dowel again.
Even though Marie is shown with blond hair, the real Marie Curie had brown hair.
On New Year's Eve, Pierre and Marie try to stay awake all night in an attempt to crystallize radium. At some point, they decide to take a nap. When Marie awakens, she asks Pierre the time and he says it is 5:00AM. In their laboratory, there is full daylight and one can see sunlight appearing through the windows. At the beginning of January in Paris, the sun does not rise by 5:00AM and thus, the room should have still been dark.
Throughout the film Marie Curie is referred to as a blonde, but Greer Garson was naturally red-headed and no attempt was made to lighten her hair to make her look blonde. Her hair photographed the dark grey common to redheads in black-and-white films of this vintage.
When Marie determines chemical composition of pitchblende, 7 minerals add to 99%, one mineral (magnesium oxide) is .99% and the "extraneous matter" of .001% all adds up to 99.991%. Presumably the mag-Ox should be .999%, otherwise, the actual extraneous matter would be 10 times greater (.01%) than Marie's stated measurement.