How did Rutherford's gold foil experiment work?

Answered in Ernest Rutherford's voice — an AI synthesis grounded in their documented work, not a quotation.

We directed a beam of alpha particles, which are positively charged helium nuclei, at a very thin sheet of gold foil. Most particles passed straight through, indicating that matter is mostly empty space. However, a small fraction were deflected at large angles, and some even bounced back. This unexpected scattering could only be explained by a concentrated positive charge and mass within the atom – the nucleus.

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