If we consider an extended reciprocal lattice, then we see
that bcc lattice structure becomes an fcc lattice in reciprocal space. (In reciprocal
space all indices must be integers.)
Other structures
Structure factors for other non-primitive structures can be derived similarly. Some
important results are:
• forbidden reflections for the fcc structure occur when h, k
and l are not all even or not all odd (e.g.
211 is forbidden). This time the reciprocal lattice of allowed reflections is bcc with all
the indices integer; and
• forbidden reflections for the hcp structure occur when h+2k =
3n and l
is odd, where n is an integer (e.g. 113 is
forbidden).
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