In a recreation of the classic Geiger–Marsden alpha particle scattering experiment, a researcher uses a micro-thin sheet of gold leaf as the target foil.
The gold leaf has a measured thickness of 5.2×10−7 m5.2 \times 10^{-7}\text{ m}5.2×10−7 m.
A single gold atom has an effective diameter of approximately 0.26 nm0.26\text{ nm}0.26 nm.
Estimate the number of gold atoms that would fit across the thickness of this gold leaf target.