Energy bands are considered continuous due to the largenumber of closely spaced energy levels. The range of energylevels in a crystal of copper is approximately 1 x 10–19 J.Assuming equal spacing between levels, the spacing betweenenergy levels may be approximated by dividing therange of energies by the number of atoms in the crystal.(a) How many copper atoms are in a piece of copper metalin the shape of a cube with edge length 0.5 mm? The densityof copper is 8.96 g/cm3. (b) Determine the averagespacing in J between energy levels in the copper metal inpart (a). (c) Is this spacing larger, substantially smaller, orabout the same as the 1 x 10–18 J separation between energylevels in a hydrogen atom?
Energy bands are considered continuous due to the large
number of closely spaced energy levels. The range of energy
levels in a crystal of copper is approximately 1 x 10–19 J.
Assuming equal spacing between levels, the spacing between
energy levels may be approximated by dividing the
range of energies by the number of atoms in the crystal.
(a) How many copper atoms are in a piece of copper metal
in the shape of a cube with edge length 0.5 mm? The density
of copper is 8.96 g/cm3. (b) Determine the average
spacing in J between energy levels in the copper metal in
part (a). (c) Is this spacing larger, substantially smaller, or
about the same as the 1 x 10–18 J separation between energy
levels in a hydrogen atom?
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