The reciprocal lattice

Since vectors in real space have dimensions of length, those in reciprocal space have dimensions of length-1 . The inverted distance between planes is determines the position of a point in the reciprocal lattice, so it is considered from the point of view of mathematics vector ,that we call reciprocal lattice vector (Ghkl).
The interplanar distance dhkl, is related to the magnitude of Ghkl by:
?Ghkl ?=A/d_hkl (where A=1 or 2? )
or dhkl = 2?/IGhklI
If a,b,and c are the fundamental translation vectors of a real lattice, then the fundamental reciprocal vectors a*, b*, and c* are defined as following:
a* =2? (b×c)/(a.b×c)
b* =2? (c×a)/(a.b×c)
c* =2? (a×b)/(a.b×c)
Since vectors in real space have dimensions of length, those in reciprocal space have dimensions of length-1 . The inverted distance between planes is determines the position of a point in the reciprocal lattice, so it is considered from the point of view of mathematics vector ,that we call reciprocal lattice vector (Ghkl).
The interplanar distance dhkl, is related to the magnitude of Ghkl by:
?Ghkl ?=A/d_hkl (where A=1 or 2? )
or dhkl = 2?/IGhklI
If a,b,and c are the fundamental translation vectors of a real lattice, then the fundamental reciprocal vectors a*, b*, and c* are defined