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In a crystal with a face-centered cubic structure, the basic cell can be
taken as a cube of edge a with its center at the origin of coordinates
and its edges parallel to the Cartesian coordinate axes; atoms are sited
at the eight corners and at the center of each face. However, other
basic cells are possible. One is the rhomboid shown in the figure below,
which has three vectors b, c and d as edges.
b
a
(a) Show that the volume of the rhomboid is one-quarter that of the
cube.
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Transcribed Image Text:In a crystal with a face-centered cubic structure, the basic cell can be taken as a cube of edge a with its center at the origin of coordinates and its edges parallel to the Cartesian coordinate axes; atoms are sited at the eight corners and at the center of each face. However, other basic cells are possible. One is the rhomboid shown in the figure below, which has three vectors b, c and d as edges. b a (a) Show that the volume of the rhomboid is one-quarter that of the cube.
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