(a)
Find
the ratio of the lengths of the diagonals of each parallelogram face of the
first Brillouin zone (BZ) for the
*
bcc
*
lattice.

(b)
Find
the ratio of the length of an edge of the polyhedron bounding the first
Brillouin zone (BZ) of the
*
fcc
*
lattice to the length of the
*
conventional
*
unit cell of the reciprocal lattice.

(c)
Find
the ratio of the volume of the 1
^{
st
}
BZ to the volume of the
*
conventional
*
unit cell of the reciprocal lattice for both the
*
fcc
*
and
*
bcc
*
lattices.

*
*

*
*

*
*