In the \ gamma-approximation version \ text { CVP } _ \ gamma, one must find a lattice vector at distance at most \ gamma.
32.
That is, the Miller indices are proportional to the " inverses " of the intercepts of the plane, in the basis of the lattice vectors.
33.
The third parameter specifying the reciprocal lattice vector is the angle \ phi formed by the X-ray beam and the plane containing \ zeta and \ xi.
34.
That is, the Miller indices are proportional to the inverses of the intercepts of the plane with the unit cell ( in the basis of the lattice vectors ).
35.
When the values of the off-diagonal elements U _ { \ bold { G } } between the reciprocal lattice vectors in the Hamiltonian almost go to zero.
36.
As a result the aggregate will be split in high and low energy components when the kinetic energy increases and the wave vector approaches the length of the reciprocal lattice vectors.
37.
A plane-wave density functional calculation on a crystal with specified lattice vectors will typically include in the basis set all plane waves with energies below the specified energy cutoff.
38.
Curly brackets are used when you don't want to refer to a specific reciprocal-lattice vector, but to a symmetrically equivalent class of reciprocal-lattice vectors.
39.
Curly brackets are used when you don't want to refer to a specific reciprocal-lattice vector, but to a symmetrically equivalent class of reciprocal-lattice vectors.
40.
In three dimensions the primitive reciprocal lattice vectors are related to the real space lattice { "'a, b, c "'} in the following way: