The blackboard in the laboratory has the exact same formulas and diagrams in 1897 and 1903...1904.
Eve Curie was born Dec. 6, 1904. The Curies won the Nobel Prize for Physics in 1903, as shown. But Eve is shown to be born before they are even nominated.
The film depicts Col. Paul Tibbets, commander of the B-29 Enola Gay, radioing Washington, DC, for permission before dropping the atomic bomb on Hiroshima. This is both historically incorrect and physically impossible. The atomic missions observed strict radio silence to avoid detection. Tibbets had permission to drop the bomb when he took off. Also, no radio transmission from a plane in the Pacific could possibly have been received on the other side of the world in Washington, DC.
Pierre Curie did not go to Stockholm alone. Marie and Pierre declined to go to Stockholm to receive the prize in person, they were too busy with their work. Pierre, who disliked public ceremonies, was feeling increasingly ill. As Nobel laureates were required to deliver a lecture, the Curies finally undertook the trip in 1905.
Marie Curie talks about changes to the nucleus when discussing radioactive decay, but this is before the existence of the atomic nucleus was discovered by Rutherford in 1911.
Pierre Curie did not die in the night as presented in the movie. The accident took place on the afternoon of April 19th 1906. Pierre Curie had been at a lunch with colleagues, and was in a hurry to get to another appointment with his editor on the Quai Conti. As he arrived at the intersection, he tried to quickly run across the road, but unfortunately his momentum took him straight into the path of a horse and cart.
The Curies discovered natural radioactivity (emission of rays or particles from the atom) while nuclear bombs are based on spontaneous fission ("splitting" the atom) which is a different process. However, developing the concept of an atomic bomb is entirely impossible without knowing radioactivity, and more importantly, the implications of that phenomenon regarding atomic nuclei and the structure of matter. Unlike, for example, any of Einstein's theories, these are crucial prerequisites for the development of nuclear weapons.
The audience at the Swedish Academy called out "Bravo!". It should have been "Brava!"