513.001 Molecular and Solid State Physics

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Physical
Constants

Periodic System
of Elements

      

Metal density, Exam 14 Nov. 2008

A metal has an fcc crystal structure. The lattice constant is 0.38 nm and the atomic weight of the atoms is 85. The lattice constant is the length of the conventional (square) unit cell. The mass of an atom is the atomic weight times the atomic mass constant u = 1.6605402 × 10-27 kg.

a) What is the density of this metal?

b) What is the distance between neighboring atoms?

c) The metal is cut so that the (111) is exposed on the surface. Draw the arrangement of atoms you would see if you looked at this surface. Label the two directions in the (111) plane.