Any lattice vector r
in a real lattice can be written as:
- r = n1a
+ n2b + n3c
where ni are integers and a, b
and c are the unit vectors describing
the lattice.
These real space lattice vectors correspond to directions in the crystal. The lattice
vector can also be written as:
- r = ua + vb
+ wc
where u, v
and w are the components of the direction
index [uvw]. |
 |
 |
A reciprocal lattice vector can be defined in the same way:
- r* = m1a*
+ m2b* + m3c*
where mi are integers and a*, b*
and c* are the reciprocal unit
vectors.
This is more commonly written:
- ghkl = ha*
+ kb* + lc*
where h, k,
l are
the Miller
indices of the plane (hkl).
|
Which
one of the statements about real and reciprocal lattice vectors below is true?
