Nanomaterials (Section)Gold adopts a face-centered cubic structure with a unit cell edge o...

Nanomaterials (Section)

Gold adopts a face-centered cubic structure with a unit cell edge of 4.08 Å (Figure). How many gold atoms are there in a sphere that is 20 nm in diameter? Recall that the volume of a sphere is 4/3 πr3.

Figure The structures of (a) primitive cubic (b) body-centered cubic, and (c) facecentered cubic metals. Each structure can be generated by the combination of a single-atom motif and the appropriate lattice (d) Corner atoms (one shown in red) are shared among eight neighboring cubic unit cells.